drasys.or.prob
Class BinomialDistribution

java.lang.Object
  |
  +--drasys.or.prob.Distribution
        |
        +--drasys.or.prob.DiscreteDistribution
              |
              +--drasys.or.prob.BinomialDistributionBase
                    |
                    +--drasys.or.prob.BinomialDistribution

public class BinomialDistribution

extends BinomialDistributionBase

implements DiscreteDistributionI, FunctionI

An implementation of the Binomial probability distribution.

References:

The Art of Computer Programming: Seminumerical Algorithms (Vol 2, 3rd Ed)
    Donald Ervin Knuth; Hardcover
Numerical Recipes in C : The Art of Scientific Computing
    William H. Press, et al / Hardcover / Published 1993
Probability and Statistics
    Morris H. Degroot / Hardcover / Published 1986
Mathematical Statistics With Applications
    Dennis D. Wackerly, et al / Hardcover / Published 1996

See Also:

Serialized Form

Constructor Summary

BinomialDistribution(double p, int n)

BinomialDistribution(double p, int n, FunctionsI functions)           The functions object will be used for the 'lnGamma' and 'lnFactorial' methods.

BinomialDistribution(double p, int n, long seed)

 

Method Summary
double	cdf(int x)           Returns the value of the cumulative distribution function at x; The standard edition iterates the pdf (x+1) times.
static double	computeProportion(int n, int x, double cdf)           Compute the parameter 'p' which fits a binomial distribution to the arguments.
double	function(double x)           Continuous implementation of the CDF, used to compute the inverse CDF.
int	inverseCdf(double probability)           Computes the integer with the nearest cdf to probability.
double	probability(int x1, int x2)           Returns the probability that x >= x1 and x <= x2.

 

Methods inherited from class drasys.or.prob.BinomialDistributionBase

equals, getRandomInteger, mean, pdf, setParameters, std, toString, variance

 

Methods inherited from class drasys.or.prob.DiscreteDistribution

cdf, getRandomArray, getRandomArray, getRandomScaler, pdf, probability, probability

 

Methods inherited from class drasys.or.prob.Distribution

getRandomMatrix, getRandomNumberGenerator, getRandomVector, setElements, setElements, setRandomNumberGenerator, setSeed

 

Methods inherited from class java.lang.Object

clone, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

 

Constructor Detail

BinomialDistribution

public BinomialDistribution(double p,
                            int n)

BinomialDistribution

public BinomialDistribution(double p,
                            int n,
                            long seed)

BinomialDistribution

public BinomialDistribution(double p,
                            int n,
                            FunctionsI functions)

The functions object will be used for the 'lnGamma' and 'lnFactorial' methods.

computeProportion

public static double computeProportion(int n,
                                       int x,
                                       double cdf)

Compute the parameter 'p' which fits a binomial distribution to the arguments.

cdf

public double cdf(int x)

Returns the value of the cumulative distribution function at x; The standard edition iterates the pdf (x+1) times. The professional edition uses the incomplete beta function.

Specified by:

cdf in interface DiscreteDistributionI

Overrides:

cdf in class BinomialDistributionBase

Throws:

InvalidArgumentError - if x < 0;

function

public double function(double x)

Continuous implementation of the CDF, used to compute the inverse CDF.

Specified by:

function in interface FunctionI

inverseCdf

public int inverseCdf(double probability)

Computes the integer with the nearest cdf to probability.

Throws:

StatError - if the solution fails.

probability

public double probability(int x1,
                          int x2)

Returns the probability that x >= x1 and x <= x2. The standard edition iterates the pdf (x2-x1+1) times. The professional edition uses the incomplete beta function.

Specified by:

probability in interface DiscreteDistributionI

Overrides:

probability in class BinomialDistributionBase

Throws:

InvalidArgumentError - if x2 < x1 or x1 < 0;