Submitted by: brent@worden.org git-svn-id: https://svn.apache.org/repos/asf/jakarta/commons/proper/math/trunk@140903 13f79535-47bb-0310-9956-ffa450edef68
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@ -103,6 +103,14 @@ public abstract class DistributionFactory {
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public abstract ChiSquaredDistribution createChiSquareDistribution(
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double degreesOfFreedom);
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/**
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* Create a new exponential distribution with the given degrees of freedom.
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* @param mean mean.
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* @return a new exponential distribution.
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*/
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public abstract ExponentialDistribution createExponentialDistribution(
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double mean);
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/**
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* Create a new F-distribution with the given degrees of freedom.
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* @param numeratorDegreesOfFreedom numerator degrees of freedom.
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@ -113,4 +113,13 @@ public class DistributionFactoryImpl extends DistributionFactory {
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denominatorDegreesOfFreedom);
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}
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/**
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* Create a new exponential distribution with the given degrees of freedom.
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* @param mean mean.
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* @return a new exponential distribution.
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*/
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public ExponentialDistribution createExponentialDistribution(double mean) {
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return new ExponentialDistributionImpl(mean);
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}
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}
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@ -0,0 +1,87 @@
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/* ====================================================================
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* The Apache Software License, Version 1.1
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*
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* Copyright (c) 2003 The Apache Software Foundation. All rights
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* reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* 3. The end-user documentation included with the redistribution, if
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* any, must include the following acknowlegement:
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* "This product includes software developed by the
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* Apache Software Foundation (http://www.apache.org/)."
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* Alternately, this acknowlegement may appear in the software itself,
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* if and wherever such third-party acknowlegements normally appear.
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*
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* 4. The names "The Jakarta Project", "Commons", and "Apache Software
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* Foundation" must not be used to endorse or promote products derived
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* from this software without prior written permission. For written
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* permission, please contact apache@apache.org.
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*
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* 5. Products derived from this software may not be called "Apache"
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* nor may "Apache" appear in their names without prior written
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* permission of the Apache Software Foundation.
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*
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* THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESSED OR IMPLIED
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* WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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* DISCLAIMED. IN NO EVENT SHALL THE APACHE SOFTWARE FOUNDATION OR
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF
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* USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
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* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
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* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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* ====================================================================
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*
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* This software consists of voluntary contributions made by many
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* individuals on behalf of the Apache Software Foundation. For more
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* information on the Apache Software Foundation, please see
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* <http://www.apache.org/>.
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*/
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package org.apache.commons.math.stat.distribution;
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/**
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* <p>
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* The Exponential Distribution
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* </p>
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*
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* <p>
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* Instances of ExponentialDistribution objects should be created using
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* {@link DistributionFactory#createExponentialDistribution(double)}
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* </p>
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*
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* <p>
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* References:
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* <ul>
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* <li><a href="http://mathworld.wolfram.com/ExponentialDistribution.html">
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* Exponential Distribution</a></li>
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* </p>
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*
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* @author Brent Worden
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*/
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public interface ExponentialDistribution extends ContinuousDistribution {
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/**
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* Modify the mean.
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* @param mean the new mean.
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*/
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void setMean(double mean);
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/**
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* Access the mean.
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* @return the mean.
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*/
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double getMean();
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}
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@ -0,0 +1,123 @@
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package org.apache.commons.math.stat.distribution;
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/**
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* The default implementation of {@link ExponentialDistribution}
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*
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* @author Brent Worden
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*/
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public class ExponentialDistributionImpl
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extends AbstractContinuousDistribution
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implements ExponentialDistribution {
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/** The mean of this distribution. */
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private double mean;
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/**
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* Create a exponential distribution with the given mean.
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* @param degreesOfFreedom degrees of freedom.
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*/
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public ExponentialDistributionImpl(double mean) {
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super();
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setMean(mean);
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}
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/**
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* Access the domain value lower bound, based on <code>p</code>, used to
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* bracket a CDF root. This method is used by
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* {@link #inverseCummulativeProbability(double)} to find critical values.
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*
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* @param p the desired probability for the critical value
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* @return domain value lower bound, i.e.
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* P(X < <i>lower bound</i>) < <code>p</code>
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*/
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protected double getDomainLowerBound(double p){
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return 0.0;
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}
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/**
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* Access the domain value upper bound, based on <code>p</code>, used to
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* bracket a CDF root. This method is used by
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* {@link #inverseCummulativeProbability(double)} to find critical values.
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*
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* @param p the desired probability for the critical value
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* @return domain value upper bound, i.e.
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* P(X < <i>upper bound</i>) > <code>p</code>
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*/
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protected double getDomainUpperBound(double p){
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return Double.MAX_VALUE;
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}
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/**
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* Access the initial domain value, based on <code>p</code>, used to
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* bracket a CDF root. This method is used by
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* {@link #inverseCummulativeProbability(double)} to find critical values.
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*
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* @param p the desired probability for the critical value
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* @return initial domain value
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*/
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protected double getInitialDomain(double p){
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return getMean();
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}
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/**
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* Modify the mean.
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* @param mean the new mean.
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*/
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public void setMean(double mean) {
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if(mean <= 0.0){
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throw new IllegalArgumentException("mean must be positive.");
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}
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this.mean = mean;
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}
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/**
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* Access the mean.
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* @return the mean.
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*/
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public double getMean() {
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return mean;
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}
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/**
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* <p>
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* For this disbution, X, this method returns P(X < x).
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* </p>
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*
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* <p>
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* The implementation of this method is based on:
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* <ul>
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* <li>
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* <a href="http://mathworld.wolfram.com/ExponentialDistribution.html">
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* Exponential Distribution</a>, equation (1).</li>
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* </ul>
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* </p>
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*
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* @param x the value at which the CDF is evaluated.
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* @return CDF for this distribution.
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*/
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public double cummulativeProbability(double x) {
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double ret;
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if(x < 0.0){
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ret = 0.0;
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} else {
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ret = 1.0 - Math.exp(-x / getMean());
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}
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return ret;
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}
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/**
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* For this distribution, X, this method returns the critical point x, such
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* that P(X < x) = <code>p</code>.
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*
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* @param p the desired probability
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* @return x, such that P(X < x) = <code>p</code>
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*/
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public double inverseCummulativeProbability(double p){
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if(p < 0.0 || p > 1.0){
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throw new IllegalArgumentException(
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"p must be between 0.0 and 1.0, inclusive.");
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}
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return -getMean() * Math.log(1.0 - p);
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}
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}
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@ -102,6 +102,32 @@ public class DistributionFactoryImplTest extends TestCase {
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}
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}
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public void testCreateExponentialDistributionNegative(){
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try {
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factory.createExponentialDistribution(-1.0);
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fail("negative mean. IllegalArgumentException expected");
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} catch (IllegalArgumentException ex) {
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;
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}
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}
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public void testCreateExponentialDistributionZero(){
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try {
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factory.createExponentialDistribution(0.0);
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fail("zero mean. IllegalArgumentException expected");
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} catch (IllegalArgumentException ex) {
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;
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}
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}
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public void testCreateExponentialDistributionPositive(){
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try {
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factory.createExponentialDistribution(1.0);
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} catch (IllegalArgumentException ex) {
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fail("positive mean. IllegalArgumentException is not expected");
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}
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}
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public void testCreateGammaDistributionNegativePositive(){
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try {
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factory.createGammaDistribution(-1.0, 1.0);
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@ -0,0 +1,129 @@
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/* ====================================================================
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* The Apache Software License, Version 1.1
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*
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* Copyright (c) 2003 The Apache Software Foundation. All rights
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* reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* 3. The end-user documentation included with the redistribution, if
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* any, must include the following acknowlegement:
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* "This product includes software developed by the
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* Apache Software Foundation (http://www.apache.org/)."
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* Alternately, this acknowlegement may appear in the software itself,
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* if and wherever such third-party acknowlegements normally appear.
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*
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* 4. The names "The Jakarta Project", "Commons", and "Apache Software
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* Foundation" must not be used to endorse or promote products derived
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* from this software without prior written permission. For written
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* permission, please contact apache@apache.org.
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*
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* 5. Products derived from this software may not be called "Apache"
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* nor may "Apache" appear in their names without prior written
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* permission of the Apache Software Foundation.
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*
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* THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESSED OR IMPLIED
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* WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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* DISCLAIMED. IN NO EVENT SHALL THE APACHE SOFTWARE FOUNDATION OR
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF
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* USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
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* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
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* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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* ====================================================================
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*
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* This software consists of voluntary contributions made by many
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* individuals on behalf of the Apache Software Foundation. For more
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* information on the Apache Software Foundation, please see
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* <http://www.apache.org/>.
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*/
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package org.apache.commons.math.stat.distribution;
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import junit.framework.TestCase;
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/**
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* @author Brent Worden
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*/
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public class ExponentialDistributionTest extends TestCase {
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private ExponentialDistribution exp;
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/**
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* Constructor for ChiSquareDistributionTest.
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* @param name
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*/
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public ExponentialDistributionTest(String name) {
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super(name);
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}
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/*
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* @see TestCase#setUp()
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*/
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protected void setUp() throws Exception {
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super.setUp();
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exp = DistributionFactory.newInstance().createExponentialDistribution(5.0);
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}
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/*
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* @see TestCase#tearDown()
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*/
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protected void tearDown() throws Exception {
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exp = null;
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super.tearDown();
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}
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public void testLowerTailProbability(){
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testProbability(0.005003, .001);
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testProbability(0.050252, .010);
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testProbability(0.126589, .025);
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testProbability(0.256566, .050);
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testProbability(0.526803, .100);
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}
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public void testUpperTailProbability(){
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testProbability(34.5388, .999);
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testProbability(23.0259, .990);
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testProbability(18.4444, .975);
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testProbability(14.9787, .950);
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testProbability(11.5129, .900);
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}
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public void testLowerTailValues(){
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testValue(0.005003, .001);
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testValue(0.050252, .010);
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testValue(0.126589, .025);
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testValue(0.256566, .050);
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testValue(0.526803, .100);
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}
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public void testUpperTailValues(){
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testValue(34.5388, .999);
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testValue(23.0259, .990);
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testValue(18.4444, .975);
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testValue(14.9787, .950);
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testValue(11.5129, .900);
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}
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private void testProbability(double x, double expected){
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double actual = exp.cummulativeProbability(x);
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assertEquals("probability for " + x, expected, actual, 10e-4);
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}
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private void testValue(double expected, double p){
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double actual = exp.inverseCummulativeProbability(p);
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assertEquals("value for " + p, expected, actual, 10e-4);
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}
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}
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