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NegativeBinomial.java
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/* * Copyright (c) 2005, Regents of the University of California * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * * Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * * Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * * * Neither the name of the University of California, Berkeley nor * the names of its contributors may be used to endorse or promote * products derived from this software without specific prior * written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. */ package blog.distrib; import blog.*; import java.util.*; import common.Util;
| A Negative Binomial distribution with parameters k (number of successes) and p (probability of a success at a given trial). If k is an integer, this is also called the Pascal distribution. The distribution is defined (in discrete terms) as the number of failures before k successes. |
public class NegativeBinomial extends AbstractCondProbDistrib {
| Creates a new instance of the NegativeBinomial with parameters k and p. |
public NegativeBinomial(List params) {
if (!((params.get(0) instanceof Integer)
&& (params.get(1) instanceof Number))) {
throw new IllegalArgumentException
("NegativeBinomial expects two numerical arguments "
+ "{k, p} where k is an Integer, p a Double. Got: " + params);
}
k = ((Integer)params.get(0)).intValue();
p = ((Number)params.get(1)).doubleValue();
gamma = new Gamma(k, (p / (1-p)));
}
| Returns the probability of n failures under this distribution. |
public double getProb (List args, Object value) {
if (!(value instanceof Integer)) {
throw new IllegalArgumentException
("NegativeBinomial CPD defines a distribution over objects"
+ " of class Integer, not " + value.getClass() + ".");
}
int n = ((Integer)value).intValue();
// Return C(k+n-1, n)*p^k*(1-p)^n
return Math.exp(getLogProb(args, value));
}
| Returns the log of the probability of n failures in this distribution. |
public double getLogProb (List args, Object value) {
if (!(value instanceof Integer)) {
throw new IllegalArgumentException
("NegativeBinomial CPD defines a distribution over objects"
+ " of class Integer, not " + value.getClass() + ".");
}
int n = ((Integer)value).intValue();
// Return log (C(k+n-1, n)*p^k*(1-p)^n)
return (k*Math.log(p) + n*Math.log(1 - p)
+ Math.log(Util.factorial(n + k - 1))
- Math.log(Util.factorial(k - 1))
- Math.log(Util.factorial(n)));
}
| Returns a double sampled according to this distribution. Takes time O(GammaDistrib.sampleVal() + Poisson.sampleVal()). (Reference: A Guide To Simulation, 2nd Ed. Bratley, Paul, Bennett L. Fox and Linus E. Schrage.) |
public Object sampleVal(List args, Type childType) {
Double theta = (Double)gamma.sampleVal(new LinkedList(), childType);
LinkedList l = new LinkedList();
l.add(theta);
Poisson poisson = new Poisson(l);
return poisson.sampleVal(new LinkedList(), childType);
}
public String toString() {
return getClass().getName();
}
private Gamma gamma;
private int k;
private double p;
}
This file was generated on Tue Jun 08 17:53:47 PDT 2010 from file NegativeBinomial.java
by the ilog.language.tools.Hilite Java tool written by Hassan Aït-Kaci