gov.sandia.cognition.statistics.distribution
Class BinomialDistribution.CDF

java.lang.Object
  gov.sandia.cognition.util.AbstractCloneableSerializable
      gov.sandia.cognition.statistics.AbstractDistribution<NumberType>
          gov.sandia.cognition.statistics.AbstractClosedFormUnivariateDistribution<Number>
              gov.sandia.cognition.statistics.distribution.BinomialDistribution
                  gov.sandia.cognition.statistics.distribution.BinomialDistribution.CDF

All Implemented Interfaces:

Evaluator<Number,Double>, Vectorizable, ClosedFormComputableDistribution<Number>, ClosedFormCumulativeDistributionFunction<Number>, ClosedFormDiscreteUnivariateDistribution<Number>, ClosedFormDistribution<Number>, ClosedFormUnivariateDistribution<Number>, ComputableDistribution<Number>, CumulativeDistributionFunction<Number>, DiscreteDistribution<Number>, Distribution<Number>, DistributionWithMean<Number>, EstimableDistribution<Number,BinomialDistribution>, UnivariateDistribution<Number>, CloneableSerializable, Serializable, Cloneable

Enclosing class:

BinomialDistribution

public static class BinomialDistribution.CDF
extends BinomialDistribution
implements ClosedFormCumulativeDistributionFunction<Number>

CDF of the Binomial distribution, which is the probability of getting up to "x" successes in "N" trials with a Bernoulli probability of "p"

See Also:

Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class gov.sandia.cognition.statistics.distribution.BinomialDistribution

BinomialDistribution.CDF, BinomialDistribution.MaximumLikelihoodEstimator, BinomialDistribution.PMF

Field Summary

Fields inherited from class gov.sandia.cognition.statistics.distribution.BinomialDistribution

DEFAULT_N, DEFAULT_P

Constructor Summary

BinomialDistribution.CDF()
Default constructor.

BinomialDistribution.CDF(BinomialDistribution other)
Creates a new instance of CDF

BinomialDistribution.CDF(int N, double p)
Creates a new instance of BinomialDistribution

Method Summary

static double	evaluate(int N, int k, double p) Evaluates the CDF for integer values of x, N, and double p
Double	evaluate(Number input) Evaluates the function on the given input and returns the output.
BinomialDistribution.CDF	getCDF() Gets the CDF of a scalar distribution.

Methods inherited from class gov.sandia.cognition.statistics.distribution.BinomialDistribution

clone, convertFromVector, convertToVector, getDomain, getDomainSize, getEstimator, getMaxSupport, getMean, getMinSupport, getN, getP, getProbabilityFunction, getVariance, sample, setN, setP

Methods inherited from class gov.sandia.cognition.statistics.AbstractDistribution

sample

Methods inherited from class java.lang.Object

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

Methods inherited from interface gov.sandia.cognition.math.matrix.Vectorizable

clone, convertFromVector, convertToVector

Methods inherited from interface gov.sandia.cognition.statistics.UnivariateDistribution

getMaxSupport, getMinSupport, getVariance

Methods inherited from interface gov.sandia.cognition.statistics.DistributionWithMean

getMean

Methods inherited from interface gov.sandia.cognition.statistics.Distribution

sample, sample

Constructor Detail

BinomialDistribution.CDF

public BinomialDistribution.CDF()

Default constructor.

BinomialDistribution.CDF

public BinomialDistribution.CDF(int N,
                                double p)

Creates a new instance of BinomialDistribution

Parameters:

N - Total number of experiments, must be greater than zero

p - Probability of a positive outcome (Bernoulli probability), [0,1]

BinomialDistribution.CDF

public BinomialDistribution.CDF(BinomialDistribution other)

Creates a new instance of CDF

Parameters:

other - Underlying Binomial PMF to use

Method Detail

evaluate

public Double evaluate(Number input)

Description copied from interface: Evaluator

Evaluates the function on the given input and returns the output.

Specified by:

evaluate in interface Evaluator<Number,Double>

Parameters:

input - The input to evaluate.

Returns:

The output produced by evaluating the input.

evaluate

public static double evaluate(int N,
                              int k,
                              double p)

Evaluates the CDF for integer values of x, N, and double p

Parameters:

k - Number of successful trials

N - Total number of possibilities in the distribution

p - Bernoulli probability of a positive experiment outcome

Returns:

Value of the Binomial CDF(N,n,p)

getCDF

public BinomialDistribution.CDF getCDF()

Description copied from interface: UnivariateDistribution

Gets the CDF of a scalar distribution.

Specified by:

getCDF in interface ClosedFormUnivariateDistribution<Number>

Specified by:

getCDF in interface UnivariateDistribution<Number>

Overrides:

getCDF in class BinomialDistribution

Returns:

CDF of the scalar distribution.