diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/Frequency.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/Frequency.java
index e79858bbe..e41aa646e 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/Frequency.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/Frequency.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat;
 
-import java.io.Serializable;
 import java.text.NumberFormat;
 import java.util.ArrayList;
 import java.util.Collection;
@@ -39,10 +38,7 @@ import org.apache.commons.math4.legacy.exception.util.LocalizedFormats;
  *
  * @param <T> a comparable type used in the frequency distribution
  */
-public class Frequency<T extends Comparable<T>> implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 605878194679954450L;
+public class Frequency<T extends Comparable<T>> {
     /** underlying collection. */
     private final SortedMap<T, Long> freqTable;
 
@@ -334,11 +330,7 @@ public class Frequency<T extends Comparable<T>> implements Serializable {
      *
      * @param <U> the type of the objects compared
      */
-    private static class NaturalComparator<U extends Comparable<U>> implements Comparator<U>, Serializable {
-
-        /** Serializable version identifier. */
-        private static final long serialVersionUID = -3852193713161395148L;
-
+    private static class NaturalComparator<U extends Comparable<U>> implements Comparator<U> {
         /**
          * Compare the two {@link Comparable Comparable} arguments.
          * This method is equivalent to:
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/AggregateSummaryStatistics.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/AggregateSummaryStatistics.java
index bf41749ca..7604bb02c 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/AggregateSummaryStatistics.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/AggregateSummaryStatistics.java
@@ -17,7 +17,6 @@
 
 package org.apache.commons.math4.legacy.stat.descriptive;
 
-import java.io.Serializable;
 import java.util.Collection;
 import java.util.Iterator;
 
@@ -50,13 +49,7 @@ import org.apache.commons.math4.legacy.exception.NullArgumentException;
  * @since 2.0
  *
  */
-public class AggregateSummaryStatistics implements StatisticalSummary,
-        Serializable {
-
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = -8207112444016386906L;
-
+public class AggregateSummaryStatistics implements StatisticalSummary {
     /**
      * A SummaryStatistics serving as a prototype for creating SummaryStatistics.
      * contributing to this aggregate
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/DescriptiveStatistics.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/DescriptiveStatistics.java
index b418c3ec2..cf8657450 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/DescriptiveStatistics.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/DescriptiveStatistics.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive;
 
-import java.io.Serializable;
 import java.lang.reflect.InvocationTargetException;
 import java.util.Arrays;
 
@@ -56,7 +55,7 @@ import org.apache.commons.math4.core.jdkmath.JdkMath;
  * {@link SynchronizedDescriptiveStatistics} if concurrent access from multiple
  * threads is required.
  */
-public class DescriptiveStatistics implements StatisticalSummary, Serializable {
+public class DescriptiveStatistics implements StatisticalSummary {
 
     /**
      * Represents an infinite window size.  When the {@link #getWindowSize()}
@@ -65,9 +64,6 @@ public class DescriptiveStatistics implements StatisticalSummary, Serializable {
      */
     public static final int INFINITE_WINDOW = -1;
 
-    /** Serialization UID. */
-    private static final long serialVersionUID = 4133067267405273064L;
-
     /** Name of the setQuantile method. */
     private static final String SET_QUANTILE_METHOD_NAME = "setQuantile";
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/MultivariateSummaryStatistics.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/MultivariateSummaryStatistics.java
index 10a4883e1..b62aa1ccc 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/MultivariateSummaryStatistics.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/MultivariateSummaryStatistics.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive;
 
-import java.io.Serializable;
 import java.util.Arrays;
 
 import org.apache.commons.math4.legacy.exception.DimensionMismatchException;
@@ -68,11 +67,7 @@ import org.apache.commons.numbers.core.Precision;
  * @since 1.2
  */
 public class MultivariateSummaryStatistics
-    implements StatisticalMultivariateSummary, Serializable {
-
-    /** Serialization UID. */
-    private static final long serialVersionUID = 2271900808994826718L;
-
+    implements StatisticalMultivariateSummary {
     /** Dimension of the data. */
     private final int k;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/ResizableDoubleArray.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/ResizableDoubleArray.java
index 5f5c2a95c..9c35c4d6c 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/ResizableDoubleArray.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/ResizableDoubleArray.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive;
 
-import java.io.Serializable;
 import java.util.Arrays;
 
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
@@ -75,10 +74,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * <p>
  * <b>Note:</b> this class is <b>NOT</b> thread-safe.
  */
-class ResizableDoubleArray implements DoubleArray, Serializable { // Not in public API.
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = -3485529955529426875L;
-
+class ResizableDoubleArray implements DoubleArray { // Not in public API.
     /** Default value for initial capacity. */
     private static final int DEFAULT_INITIAL_CAPACITY = 16;
     /** Default value for array size modifier. */
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/StatisticalSummaryValues.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/StatisticalSummaryValues.java
index 6e454d1f8..f0eecc320 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/StatisticalSummaryValues.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/StatisticalSummaryValues.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.core.jdkmath.JdkMath;
 import org.apache.commons.numbers.core.Precision;
 
@@ -25,12 +23,8 @@ import org.apache.commons.numbers.core.Precision;
  *  Value object representing the results of a univariate statistical summary.
  *
  */
-public class StatisticalSummaryValues implements Serializable,
-    StatisticalSummary {
-
-    /** Serialization id. */
-    private static final long serialVersionUID = -5108854841843722536L;
-
+public class StatisticalSummaryValues
+    implements StatisticalSummary {
     /** The sample mean. */
     private final double mean;
 
@@ -188,5 +182,4 @@ public class StatisticalSummaryValues implements Serializable,
         outBuffer.append("sum: ").append(getSum()).append(endl);
         return outBuffer.toString();
     }
-
 }
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SummaryStatistics.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SummaryStatistics.java
index c0935c613..9ed87a508 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SummaryStatistics.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SummaryStatistics.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalStateException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.exception.util.LocalizedFormats;
@@ -56,11 +54,7 @@ import org.apache.commons.numbers.core.Precision;
  * threads is required.
  * </p>
  */
-public class SummaryStatistics implements StatisticalSummary, Serializable {
-
-    /** Serialization UID. */
-    private static final long serialVersionUID = -2021321786743555871L;
-
+public class SummaryStatistics implements StatisticalSummary {
     /** count of values that have been added. */
     private long n;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedDescriptiveStatistics.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedDescriptiveStatistics.java
index 8d5618ce4..0fc06af95 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedDescriptiveStatistics.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedDescriptiveStatistics.java
@@ -32,10 +32,6 @@ import org.apache.commons.math4.legacy.exception.NullArgumentException;
  * @since 1.2
  */
 public class SynchronizedDescriptiveStatistics extends DescriptiveStatistics {
-
-    /** Serialization UID. */
-    private static final long serialVersionUID = 1L;
-
     /**
      * Construct an instance with infinite window.
      */
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedMultivariateSummaryStatistics.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedMultivariateSummaryStatistics.java
index 65af993dc..49394ce15 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedMultivariateSummaryStatistics.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedMultivariateSummaryStatistics.java
@@ -33,10 +33,6 @@ import org.apache.commons.math4.legacy.linear.RealMatrix;
  */
 public class SynchronizedMultivariateSummaryStatistics
     extends MultivariateSummaryStatistics {
-
-    /** Serialization UID. */
-    private static final long serialVersionUID = 7099834153347155363L;
-
     /**
      * Construct a SynchronizedMultivariateSummaryStatistics instance.
      * @param k dimension of the data
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedSummaryStatistics.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedSummaryStatistics.java
index a73634551..008a3e118 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedSummaryStatistics.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/SynchronizedSummaryStatistics.java
@@ -32,10 +32,6 @@ import org.apache.commons.math4.legacy.exception.NullArgumentException;
  * @since 1.2
  */
 public class SynchronizedSummaryStatistics extends SummaryStatistics {
-
-    /** Serialization UID. */
-    private static final long serialVersionUID = 1909861009042253704L;
-
     /**
      * Construct a SynchronizedSummaryStatistics instance.
      */
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/FirstMoment.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/FirstMoment.java
index 2d08961bc..f97e7c9d3 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/FirstMoment.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/FirstMoment.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
 
@@ -45,12 +43,7 @@ import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivari
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-class FirstMoment extends AbstractStorelessUnivariateStatistic
-    implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+class FirstMoment extends AbstractStorelessUnivariateStatistic {
     /** Count of values that have been added. */
     protected long n;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/FourthMoment.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/FourthMoment.java
index a7de37305..5a47fd49b 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/FourthMoment.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/FourthMoment.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 
 /**
@@ -52,11 +50,7 @@ import org.apache.commons.math4.legacy.exception.NullArgumentException;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally. </p>
  */
-class FourthMoment extends ThirdMoment implements Serializable{
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+class FourthMoment extends ThirdMoment {
     /** fourth moment of values that have been added. */
     private double m4;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/GeometricMean.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/GeometricMean.java
index 7c6d0755c..5d9fee507 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/GeometricMean.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/GeometricMean.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.MathIllegalStateException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
@@ -48,11 +46,7 @@ import org.apache.commons.math4.core.jdkmath.JdkMath;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class GeometricMean extends AbstractStorelessUnivariateStatistic implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class GeometricMean extends AbstractStorelessUnivariateStatistic {
     /** Wrapped SumOfLogs instance. */
     private StorelessUnivariateStatistic sumOfLogs;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Kurtosis.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Kurtosis.java
index a6f021d19..cdbf7d0cb 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Kurtosis.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Kurtosis.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -45,11 +43,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class Kurtosis extends AbstractStorelessUnivariateStatistic  implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class Kurtosis extends AbstractStorelessUnivariateStatistic {
     /**Fourth Moment on which this statistic is based. */
     protected FourthMoment moment;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Mean.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Mean.java
index 50dc944fa..3fab9af72 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Mean.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Mean.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -60,11 +58,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * <code>clear()</code> method, it must be synchronized externally.
  */
 public class Mean extends AbstractStorelessUnivariateStatistic
-    implements Serializable, WeightedEvaluation {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+    implements WeightedEvaluation {
     /** First moment on which this statistic is based. */
     protected FirstMoment moment;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/SecondMoment.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/SecondMoment.java
index 44f9bc31c..44f2dbb56 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/SecondMoment.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/SecondMoment.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 
 /**
@@ -44,11 +42,7 @@ import org.apache.commons.math4.legacy.exception.NullArgumentException;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class SecondMoment extends FirstMoment implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class SecondMoment extends FirstMoment {
     /** second moment of values that have been added. */
     protected double m2;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/SemiVariance.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/SemiVariance.java
index 5d77c6059..0eca2d186 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/SemiVariance.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/SemiVariance.java
@@ -17,8 +17,6 @@
 
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractUnivariateStatistic;
@@ -51,7 +49,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  *
  * @since 2.1
  */
-public class SemiVariance extends AbstractUnivariateStatistic implements Serializable {
+public class SemiVariance extends AbstractUnivariateStatistic {
 
     /**
      * The UPSIDE Direction is used to specify that the observations above the
@@ -65,9 +63,6 @@ public class SemiVariance extends AbstractUnivariateStatistic implements Seriali
      */
     public static final Direction DOWNSIDE_VARIANCE = Direction.DOWNSIDE;
 
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
     /**
      * Determines whether or not bias correction is applied when computing the
      * value of the statistic.  True means that bias is corrected.
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Skewness.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Skewness.java
index 9fd057921..06b839902 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Skewness.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Skewness.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -44,11 +42,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally. </p>
  */
-public class Skewness extends AbstractStorelessUnivariateStatistic implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class Skewness extends AbstractStorelessUnivariateStatistic {
     /** The value below which the variance is considered zero and thus skewness is zero. */
     private static final double ZERO_VARIANCE_THRESHOLD = 10E-20;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/StandardDeviation.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/StandardDeviation.java
index 26ecef220..419676c4d 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/StandardDeviation.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/StandardDeviation.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -38,12 +36,7 @@ import org.apache.commons.math4.core.jdkmath.JdkMath;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class StandardDeviation extends AbstractStorelessUnivariateStatistic
-    implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class StandardDeviation extends AbstractStorelessUnivariateStatistic {
     /** Wrapped Variance instance. */
     private Variance variance;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/ThirdMoment.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/ThirdMoment.java
index bf16bf83e..23f025349 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/ThirdMoment.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/ThirdMoment.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 
 
@@ -47,11 +45,7 @@ import org.apache.commons.math4.legacy.exception.NullArgumentException;
  * <code>clear()</code> method, it must be synchronized externally.</p>
  *
  */
-class ThirdMoment extends SecondMoment implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+class ThirdMoment extends SecondMoment {
     /** third moment of values that have been added. */
     protected double m3;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Variance.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Variance.java
index 415bbb1f4..e31c62506 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Variance.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/Variance.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.exception.util.LocalizedFormats;
@@ -65,11 +63,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class Variance extends AbstractStorelessUnivariateStatistic implements Serializable, WeightedEvaluation {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class Variance extends AbstractStorelessUnivariateStatistic implements WeightedEvaluation {
     /** SecondMoment is used in incremental calculation of Variance. */
     protected SecondMoment moment;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialCovariance.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialCovariance.java
index c8b5b5aa6..d602105be 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialCovariance.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialCovariance.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
 import java.util.Arrays;
 
 import org.apache.commons.math4.legacy.exception.DimensionMismatchException;
@@ -27,11 +26,7 @@ import org.apache.commons.math4.legacy.linear.RealMatrix;
  * Returns the covariance matrix of the available vectors.
  * @since 1.2
  */
-public class VectorialCovariance implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 4118372414238930270L;
-
+public class VectorialCovariance {
     /** Sums for each component. */
     private final double[] sums;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialMean.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialMean.java
index ade4be441..1c505462c 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialMean.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialMean.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.moment;
 
-import java.io.Serializable;
 import java.util.Arrays;
 
 import org.apache.commons.math4.legacy.exception.DimensionMismatchException;
@@ -25,11 +24,7 @@ import org.apache.commons.math4.legacy.exception.DimensionMismatchException;
  * Returns the arithmetic mean of the available vectors.
  * @since 1.2
  */
-public class VectorialMean implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 8223009086481006892L;
-
+public class VectorialMean {
     /** Means for each component. */
     private final Mean[] means;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/CentralPivotingStrategy.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/CentralPivotingStrategy.java
index 942737fa6..833d1594f 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/CentralPivotingStrategy.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/CentralPivotingStrategy.java
@@ -16,18 +16,13 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.rank;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.core.MathArrays;
 
 /**
  * A mid point strategy based on the average of begin and end indices.
  * @since 3.4
  */
-public class CentralPivotingStrategy implements PivotingStrategy, Serializable {
-    /** Serializable UID. */
-    private static final long serialVersionUID = 20140713L;
-
+public class CentralPivotingStrategy implements PivotingStrategy {
     /**
      * {@inheritDoc}
      * This in particular picks a average of begin and end indices
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/KthSelector.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/KthSelector.java
index 3211154a7..cad4a4940 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/KthSelector.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/KthSelector.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.rank;
 
-import java.io.Serializable;
 import java.util.Arrays;
 
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
@@ -28,10 +27,7 @@ import org.apache.commons.math4.core.jdkmath.JdkMath;
  * numbers.
  * @since 3.4
  */
-public class KthSelector implements Serializable {
-    /** Serializable UID. */
-    private static final long serialVersionUID = 20140713L;
-
+public class KthSelector {
     /** Minimum selection size for insertion sort rather than selection. */
     private static final int MIN_SELECT_SIZE = 15;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Max.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Max.java
index b4db84ef9..038ab5d9a 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Max.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Max.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.rank;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -37,11 +35,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class Max extends AbstractStorelessUnivariateStatistic implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class Max extends AbstractStorelessUnivariateStatistic {
     /** Number of values that have been added. */
     private long n;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Median.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Median.java
index b297fe511..00c04853f 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Median.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Median.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.rank;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.ranking.NaNStrategy;
@@ -32,11 +30,7 @@ import org.apache.commons.math4.legacy.stat.ranking.NaNStrategy;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class Median extends Percentile implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class Median extends Percentile {
     /** Fixed quantile. */
     private static final double FIXED_QUANTILE_50 = 50.0;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/MedianOf3PivotingStrategy.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/MedianOf3PivotingStrategy.java
index fedeb09b0..30fbc43a8 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/MedianOf3PivotingStrategy.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/MedianOf3PivotingStrategy.java
@@ -16,18 +16,13 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.rank;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.core.MathArrays;
 
 /**
  * Classic median of 3 strategy given begin and end indices.
  * @since 3.4
  */
-public class MedianOf3PivotingStrategy implements PivotingStrategy, Serializable {
-    /** Serializable UID. */
-    private static final long serialVersionUID = 20140713L;
-
+public class MedianOf3PivotingStrategy implements PivotingStrategy {
     /**{@inheritDoc}
      * This in specific makes use of median of 3 pivoting.
      * @return The index corresponding to a pivot chosen between the
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Min.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Min.java
index bebc7078e..8a185c5b2 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Min.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Min.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.rank;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -37,11 +35,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class Min extends AbstractStorelessUnivariateStatistic implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class Min extends AbstractStorelessUnivariateStatistic {
     /**Number of values that have been added. */
     private long n;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Percentile.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Percentile.java
index e6cc453bb..6fbfbc696 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Percentile.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/Percentile.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.rank;
 
-import java.io.Serializable;
 import java.util.Arrays;
 import java.util.BitSet;
 
@@ -90,10 +89,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class Percentile extends AbstractUnivariateStatistic implements Serializable {
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class Percentile extends AbstractUnivariateStatistic {
     /** Maximum number of partitioning pivots cached (each level double the number of pivots). */
     private static final int MAX_CACHED_LEVELS = 10;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/RandomPivotingStrategy.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/RandomPivotingStrategy.java
index bb91ba8de..3551ff125 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/RandomPivotingStrategy.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/rank/RandomPivotingStrategy.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.rank;
 
-import java.io.Serializable;
 import java.io.IOException;
 import java.io.ObjectOutputStream;
 import java.io.ObjectInputStream;
@@ -30,9 +29,7 @@ import org.apache.commons.rng.core.RandomProviderDefaultState;
  *
  * @since 3.4
  */
-public class RandomPivotingStrategy implements PivotingStrategy, Serializable {
-    /** Serializable UID. */
-    private static final long serialVersionUID = 20160517L;
+public class RandomPivotingStrategy implements PivotingStrategy {
     /** Source of randomness. */
     private final RandomSource randomSource;
     /** Random generator to use for selecting pivot. */
@@ -66,35 +63,4 @@ public class RandomPivotingStrategy implements PivotingStrategy, Serializable {
         MathArrays.verifyValues(work, begin, end - begin);
         return begin + random.nextInt(end - begin - 1);
     }
-
-    /**
-     * @param out Output stream.
-     * @throws IOException if an error occurs.
-     */
-    private void writeObject(ObjectOutputStream out)
-        throws IOException {
-        // Write non-transient fields.
-        out.defaultWriteObject();
-
-        // Save current state.
-        out.writeObject(((RandomProviderDefaultState) random.saveState()).getState());
-   }
-
-    /**
-     * @param in Input stream.
-     * @throws IOException if an error occurs.
-     * @throws ClassNotFoundException if an error occurs.
-     */
-    private void readObject(ObjectInputStream in)
-        throws IOException,
-               ClassNotFoundException {
-        // Read non-transient fields.
-        in.defaultReadObject();
-
-        // Recreate the "delegate" from serialized info.
-        random = randomSource.create();
-        // And restore its state.
-        final RandomProviderDefaultState state = new RandomProviderDefaultState((byte[]) in.readObject());
-        random.restoreState(state);
-    }
 }
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/Product.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/Product.java
index 570101676..a1ffdf6db 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/Product.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/Product.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.summary;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -37,11 +35,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class Product extends AbstractStorelessUnivariateStatistic implements Serializable, WeightedEvaluation {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class Product extends AbstractStorelessUnivariateStatistic implements WeightedEvaluation {
     /**The number of values that have been added. */
     private long n;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/Sum.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/Sum.java
index 60e38864e..f98faa0ba 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/Sum.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/Sum.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.summary;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -36,11 +34,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class Sum extends AbstractStorelessUnivariateStatistic implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class Sum extends AbstractStorelessUnivariateStatistic {
     /** */
     private long n;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/SumOfLogs.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/SumOfLogs.java
index fd0e571aa..d56d271da 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/SumOfLogs.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/SumOfLogs.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.summary;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -44,11 +42,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class SumOfLogs extends AbstractStorelessUnivariateStatistic implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class SumOfLogs extends AbstractStorelessUnivariateStatistic {
     /** Number of values that have been added. */
     private int n;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/SumOfSquares.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/SumOfSquares.java
index f439b5c8f..7462052e3 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/SumOfSquares.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/descriptive/summary/SumOfSquares.java
@@ -16,8 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.descriptive.summary;
 
-import java.io.Serializable;
-
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
 import org.apache.commons.math4.legacy.exception.NullArgumentException;
 import org.apache.commons.math4.legacy.stat.descriptive.AbstractStorelessUnivariateStatistic;
@@ -35,11 +33,7 @@ import org.apache.commons.math4.legacy.core.MathArrays;
  * one of the threads invokes the <code>increment()</code> or
  * <code>clear()</code> method, it must be synchronized externally.</p>
  */
-public class SumOfSquares extends AbstractStorelessUnivariateStatistic implements Serializable {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = 20150412L;
-
+public class SumOfSquares extends AbstractStorelessUnivariateStatistic {
     /** Number of values that have been added. */
     private long n;
 
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/regression/RegressionResults.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/regression/RegressionResults.java
index 030c99a69..67cea8d57 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/regression/RegressionResults.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/regression/RegressionResults.java
@@ -16,7 +16,6 @@
  */
 package org.apache.commons.math4.legacy.stat.regression;
 
-import java.io.Serializable;
 import java.util.Arrays;
 
 import org.apache.commons.math4.legacy.exception.OutOfRangeException;
@@ -27,7 +26,7 @@ import org.apache.commons.math4.core.jdkmath.JdkMath;
  *
  * @since 3.0
  */
-public class RegressionResults implements Serializable {
+public class RegressionResults {
 
     /** INDEX of Sum of Squared Errors. */
     private static final int SSE_IDX = 0;
diff --git a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/regression/SimpleRegression.java b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/regression/SimpleRegression.java
index b53bd4f26..f070ca5a7 100644
--- a/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/regression/SimpleRegression.java
+++ b/commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/stat/regression/SimpleRegression.java
@@ -16,7 +16,6 @@
  */
 
 package org.apache.commons.math4.legacy.stat.regression;
-import java.io.Serializable;
 
 import org.apache.commons.statistics.distribution.TDistribution;
 import org.apache.commons.math4.legacy.exception.MathIllegalArgumentException;
@@ -60,11 +59,7 @@ import org.apache.commons.numbers.core.Precision;
  * </ul>
  *
  */
-public class SimpleRegression implements Serializable, UpdatingMultipleLinearRegression {
-
-    /** Serializable version identifier. */
-    private static final long serialVersionUID = -3004689053607543335L;
-
+public class SimpleRegression implements UpdatingMultipleLinearRegression {
     /** sum of x values. */
     private double sumX;
 
diff --git a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/FrequencyTest.java b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/FrequencyTest.java
index 1365aa388..57a5c5b43 100644
--- a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/FrequencyTest.java
+++ b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/FrequencyTest.java
@@ -194,14 +194,6 @@ public final class FrequencyTest {
         }
     }
 
-    @Test
-    public void testSerial() {
-        Frequency<Integer> f = new Frequency<>();
-        f.addValue(ONE);
-        f.addValue(TWO);
-        Assert.assertEquals(f, TestUtils.serializeAndRecover(f));
-    }
-
     @Test
     public void testGetUniqueCount() {
         Frequency<Long> f = new Frequency<>();
diff --git a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/MultivariateSummaryStatisticsTest.java b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/MultivariateSummaryStatisticsTest.java
index 0c2a86b9e..ed169472b 100644
--- a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/MultivariateSummaryStatisticsTest.java
+++ b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/MultivariateSummaryStatisticsTest.java
@@ -255,28 +255,6 @@ public class MultivariateSummaryStatisticsTest {
 
     }
 
-    @Test
-    public void testSerialization() {
-        MultivariateSummaryStatistics u = createMultivariateSummaryStatistics(2, true);
-        // Empty test
-        TestUtils.checkSerializedEquality(u);
-        MultivariateSummaryStatistics s = (MultivariateSummaryStatistics) TestUtils.serializeAndRecover(u);
-        Assert.assertEquals(u, s);
-
-        // Add some data
-        u.addValue(new double[] { 2d, 1d });
-        u.addValue(new double[] { 1d, 1d });
-        u.addValue(new double[] { 3d, 1d });
-        u.addValue(new double[] { 4d, 1d });
-        u.addValue(new double[] { 5d, 1d });
-
-        // Test again
-        TestUtils.checkSerializedEquality(u);
-        s = (MultivariateSummaryStatistics) TestUtils.serializeAndRecover(u);
-        Assert.assertEquals(u, s);
-
-    }
-
     @Test
     public void testEqualsAndHashCode() {
         MultivariateSummaryStatistics u = createMultivariateSummaryStatistics(2, true);
diff --git a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/StatisticalSummaryValuesTest.java b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/StatisticalSummaryValuesTest.java
index 8c7d848e1..bddb0bb11 100644
--- a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/StatisticalSummaryValuesTest.java
+++ b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/StatisticalSummaryValuesTest.java
@@ -29,14 +29,6 @@ import org.junit.Test;
 
 public final class StatisticalSummaryValuesTest {
 
-    @Test
-    public void testSerialization() {
-        StatisticalSummaryValues u = new StatisticalSummaryValues(1, 2, 3, 4, 5, 6);
-        TestUtils.checkSerializedEquality(u);
-        StatisticalSummaryValues t = (StatisticalSummaryValues) TestUtils.serializeAndRecover(u);
-        verifyEquality(u, t);
-    }
-
     @Test
     public void testEqualsAndHashCode() {
         StatisticalSummaryValues u  = new StatisticalSummaryValues(1, 2, 3, 4, 5, 6);
diff --git a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/SummaryStatisticsTest.java b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/SummaryStatisticsTest.java
index 77a60fc11..a93535ffd 100644
--- a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/SummaryStatisticsTest.java
+++ b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/SummaryStatisticsTest.java
@@ -155,30 +155,6 @@ public class SummaryStatisticsTest {
         verifySummary(u, summary);
     }
 
-    @Test
-    public void testSerialization() {
-        SummaryStatistics u = createSummaryStatistics();
-        // Empty test
-        TestUtils.checkSerializedEquality(u);
-        SummaryStatistics s = (SummaryStatistics) TestUtils.serializeAndRecover(u);
-        StatisticalSummary summary = s.getSummary();
-        verifySummary(u, summary);
-
-        // Add some data
-        u.addValue(2d);
-        u.addValue(1d);
-        u.addValue(3d);
-        u.addValue(4d);
-        u.addValue(5d);
-
-        // Test again
-        TestUtils.checkSerializedEquality(u);
-        s = (SummaryStatistics) TestUtils.serializeAndRecover(u);
-        summary = s.getSummary();
-        verifySummary(u, summary);
-
-    }
-
     @Test
     public void testEqualsAndHashCode() {
         SummaryStatistics u = createSummaryStatistics();
diff --git a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialCovarianceTest.java b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialCovarianceTest.java
index 3553cf370..5791d88b8 100644
--- a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialCovarianceTest.java
+++ b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialCovarianceTest.java
@@ -82,10 +82,4 @@ public class VectorialCovarianceTest {
         }
 
     }
-
-    @Test
-    public void testSerial(){
-        VectorialCovariance stat = new VectorialCovariance(points[0].length, true);
-        Assert.assertEquals(stat, TestUtils.serializeAndRecover(stat));
-    }
 }
diff --git a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialMeanTest.java b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialMeanTest.java
index aa6038300..c81304e77 100644
--- a/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialMeanTest.java
+++ b/commons-math-legacy/src/test/java/org/apache/commons/math4/legacy/stat/descriptive/moment/VectorialMeanTest.java
@@ -74,13 +74,4 @@ public class VectorialMeanTest {
         }
 
     }
-
-    @Test
-    public void testSerial() {
-        VectorialMean stat = new VectorialMean(points[0].length);
-        for (int i = 0; i < points.length; ++i) {
-            stat.increment(points[i]);
-        }
-        Assert.assertEquals(stat, TestUtils.serializeAndRecover(stat));
-    }
 }