com.datumbox.framework.core.statistics.distributions

Class DiscreteDistributions

java.lang.Object

com.datumbox.framework.core.statistics.distributions.DiscreteDistributions

public class DiscreteDistributions
extends java.lang.Object

This class provides methods for the CDFs and PDFs of the most common discrete distributions.

Constructor Summary

Constructors

Constructor and Description
DiscreteDistributions()

Method Summary

Modifier and Type	Method and Description
static double	bernoulli(boolean k, double p) Returns the probability of k and p
static double	bernoulliCdf(int k, double p) Returns the cumulative probability under bernoulli
static double	binomial(int k, double p, int n) Returns the probability of k of a specific number of tries n and probability p
static double	binomialCdf(int k, double p, int n) Returns the cumulative probability of k of a specific number of tries n and probability p
static double	geometric(int k, double p) Returns the probability that the first success requires k trials with probability of success p
static double	geometricCdf(int k, double p) Returns the cumulative probability of geometric
static double	hypergeometric(int k, int n, int Kp, int Np) Returns the probability of finding k successes on a sample of n, from a population with Kp successes and size Np
static double	hypergeometricCdf(int k, int n, int Kp, int Np) Returns the cumulative probability of hypergeometric
static double	negativeBinomial(int n, int r, double p) Returns the probability of requiring n tries to achieve r successes with probability of success p
static double	negativeBinomialCdf(int n, int r, double p) Returns the cumulative probability of negativeBinomial
static double	poisson(int k, double lamda) Returns the probability of k occurrences when rate is lamda
static double	poissonCdf(int k, double lamda) Returns the cumulative probability of poisson
static double	uniform(int n) Returns the probability of uniform discrete distribution with parameter n
static double	uniformCdf(int k, int n) Returns the cumulative probability of uniform

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

DiscreteDistributions

public DiscreteDistributions()

Method Detail

bernoulli

public static double bernoulli(boolean k,
                               double p)

Returns the probability of k and p

Parameters:

k -

p -

Returns:

bernoulliCdf

public static double bernoulliCdf(int k,
                                  double p)

Returns the cumulative probability under bernoulli

Parameters:

k -

p -

Returns:

binomial

public static double binomial(int k,
                              double p,
                              int n)

Returns the probability of k of a specific number of tries n and probability p

Parameters:

k -

p -

n -

Returns:

binomialCdf

public static double binomialCdf(int k,
                                 double p,
                                 int n)

Returns the cumulative probability of k of a specific number of tries n and probability p

Parameters:

k -

p -

n -

Returns:

geometric

public static double geometric(int k,
                               double p)

Returns the probability that the first success requires k trials with probability of success p

Parameters:

k -

p -

Returns:

geometricCdf

public static double geometricCdf(int k,
                                  double p)

Returns the cumulative probability of geometric

Parameters:

k -

p -

Returns:

negativeBinomial

public static double negativeBinomial(int n,
                                      int r,
                                      double p)

Returns the probability of requiring n tries to achieve r successes with probability of success p

Parameters:

n -

r -

p -

Returns:

negativeBinomialCdf

public static double negativeBinomialCdf(int n,
                                         int r,
                                         double p)

Returns the cumulative probability of negativeBinomial

Parameters:

n -

r -

p -

Returns:

uniform

public static double uniform(int n)

Returns the probability of uniform discrete distribution with parameter n

Parameters:

n -

Returns:

uniformCdf

public static double uniformCdf(int k,
                                int n)

Returns the cumulative probability of uniform

Parameters:

k -

n -

Returns:

hypergeometric

public static double hypergeometric(int k,
                                    int n,
                                    int Kp,
                                    int Np)

Returns the probability of finding k successes on a sample of n, from a population with Kp successes and size Np

Parameters:

k -

n -

Kp -

Np -

Returns:

hypergeometricCdf

public static double hypergeometricCdf(int k,
                                       int n,
                                       int Kp,
                                       int Np)

Returns the cumulative probability of hypergeometric

Parameters:

k -

n -

Kp -

Np -

Returns:

poisson

public static double poisson(int k,
                             double lamda)

Returns the probability of k occurrences when rate is lamda

Parameters:

k -

lamda -

Returns:

poissonCdf

public static double poissonCdf(int k,
                                double lamda)

Returns the cumulative probability of poisson

Parameters:

k -

lamda -

Returns: