- Type Parameters:
NumberType - Type of Number used as the domain.
- All Superinterfaces:
- java.lang.Cloneable, CloneableSerializable, Distribution<NumberType>, DistributionWithMean<NumberType>, Evaluator<NumberType,java.lang.Double>, java.io.Serializable, UnivariateDistribution<NumberType>
- All Known Subinterfaces:
- ClosedFormCumulativeDistributionFunction<DomainType>, InvertibleCumulativeDistributionFunction<NumberType>, SmoothCumulativeDistributionFunction
- All Known Implementing Classes:
- BernoulliDistribution.CDF, BetaBinomialDistribution.CDF, BetaDistribution.CDF, BinomialDistribution.CDF, CauchyDistribution.CDF, ChiSquareDistribution.CDF, DeterministicDistribution.CDF, ExponentialDistribution.CDF, GammaDistribution.CDF, GeometricDistribution.CDF, InverseGammaDistribution.CDF, KolmogorovDistribution.CDF, LaplaceDistribution.CDF, LogisticDistribution.CDF, LogNormalDistribution.CDF, NegativeBinomialDistribution.CDF, ParetoDistribution.CDF, PoissonDistribution.CDF, ScalarDataDistribution.CDF, ScalarMixtureDensityModel.CDF, SnedecorFDistribution.CDF, StudentizedRangeDistribution.CDF, StudentTDistribution.CDF, UniformDistribution.CDF, UniformIntegerDistribution.CDF, UnivariateGaussian.CDF, WeibullDistribution.CDF, YuleSimonDistribution.CDF
@PublicationReference(author="Wikipedia",
title="Cumulative distribution function",
type=WebPage,
year=2009,
url="http://en.wikipedia.org/wiki/Cumulative_distribution_function")
public interface CumulativeDistributionFunction<NumberType extends java.lang.Number>
extends UnivariateDistribution<NumberType>, Evaluator<NumberType,java.lang.Double>
Functionality of a cumulative distribution function. The CDF returns the
probability that the distribution takes a value less than a given input.
That is, CDF(x) = Probability(all z less than x). Additionally, any CDF has
the following properties: it is nonnegative, nondecreasing,
CDF(-infinity)=0, CDF(infinity)=1.
Note that CumulativeDistributionFunction is NOT a DistributionFunction,
but merely an Evaluator. This is because a DistributionFunction is meant
for PMFs/PDFs.
- Since:
- 3.0
- Author:
- Kevin R. Dixon