Distribution Interface Reference

This interface should be implemented by all classes supporting discrete and continuous distributions. More...

Inheritance diagram for Distribution:

Public Member Functions
double	cdf (double x)
	Returns the distribution function \(F(x)\). More...
double	barF (double x)
	Returns \(\bar{F}(x) = 1 - F(x)\). More...
double	inverseF (double u)
	Returns the inverse distribution function \(F^{-1}(u)\), defined in ( inverseF ). More...
double	getMean ()
	Returns the mean of the distribution function.
double	getVariance ()
	Returns the variance of the distribution function.
double	getStandardDeviation ()
	Returns the standard deviation of the distribution function.
double []	getParams ()
	Returns the parameters of the distribution function in the same order as in the constructors.

Detailed Description

This interface should be implemented by all classes supporting discrete and continuous distributions.

It specifies the signature of methods that compute the distribution function \(F(x)\), the complementary distribution function \(\bar{F}(x)\), and the inverse distribution function \( F^{-1} (u)\). It also specifies the signature of methods that returns the mean, the variance and the standard deviation.

Member Function Documentation

barF()

double barF

(

double

x

)

Returns \(\bar{F}(x) = 1 - F(x)\).

Parameters

x	value at which the complementary distribution function is evaluated

Returns

complementary distribution function evaluated at x

Implemented in JohnsonSLDist, HypoExponentialDistQuick, HypoExponentialDist, FrechetDist, GammaDist, LogisticDist, DiscreteDistribution, PiecewiseLinearEmpiricalDist, JohnsonSBDist, BetaDist, ChiSquareNoncentralDist, GumbelDist, StudentDist, EmpiricalDist, Pearson6Dist, DiscreteDistributionInt, TriangularDist, WeibullDist, ExtremeValueDist, WatsonUDist, CauchyDist, FatigueLifeDist, JohnsonSUDist, LoglogisticDist, NormalDist, HyperbolicSecantDist, LaplaceDist, BetaSymmetricalDist, KolmogorovSmirnovDist, KolmogorovSmirnovPlusDist, ChiDist, ChiSquareDist, InverseGaussianDist, TruncatedDist, AndersonDarlingDistQuick, PowerDist, WatsonGDist, LognormalDist, Pearson5Dist, AndersonDarlingDist, FoldedNormalDist, InverseGammaDist, KolmogorovSmirnovDistQuick, ContinuousDistribution, CramerVonMisesDist, HypoExponentialDistEqual, ParetoDist, RayleighDist, ExponentialDist, UniformDist, NormalInverseGaussianDist, HalfNormalDist, NakagamiDist, FisherFDist, StudentDistQuick, and NormalDistQuick.

cdf()

double cdf

(

double

x

)

Returns the distribution function \(F(x)\).

Parameters

x	value at which the distribution function is evaluated

Returns

distribution function evaluated at x

Implemented in InverseDistFromDensity, JohnsonSLDist, HypoExponentialDistQuick, HypoExponentialDist, FrechetDist, GammaDist, LogisticDist, JohnsonSBDist, PiecewiseLinearEmpiricalDist, BetaDist, GumbelDist, DiscreteDistribution, ChiSquareNoncentralDist, StudentDist, EmpiricalDist, Pearson6Dist, TriangularDist, WeibullDist, ExtremeValueDist, WatsonUDist, CauchyDist, FatigueLifeDist, JohnsonSUDist, LoglogisticDist, NormalDist, DiscreteDistributionInt, HyperbolicSecantDist, LaplaceDist, BetaSymmetricalDist, KolmogorovSmirnovDist, KolmogorovSmirnovPlusDist, ChiDist, ChiSquareDist, InverseGaussianDist, AndersonDarlingDistQuick, PowerDist, WatsonGDist, LognormalDist, Pearson5Dist, AndersonDarlingDist, FoldedNormalDist, TruncatedDist, InverseGammaDist, KolmogorovSmirnovDistQuick, CramerVonMisesDist, HypoExponentialDistEqual, ParetoDist, RayleighDist, ExponentialDist, UniformDist, NormalInverseGaussianDist, HalfNormalDist, NakagamiDist, FisherFDist, StudentDistQuick, and NormalDistQuick.

inverseF()

double inverseF

(

double

u

)

Returns the inverse distribution function \(F^{-1}(u)\), defined in ( inverseF ).

Parameters

u	value in the interval \((0,1)\) for which the inverse distribution function is evaluated

Returns

the inverse distribution function evaluated at u

Implemented in ContinuousDistribution, InverseDistFromDensity, JohnsonSLDist, HypoExponentialDistQuick, DiscreteDistribution, HypoExponentialDist, FrechetDist, DiscreteDistributionInt, PiecewiseLinearEmpiricalDist, GammaDist, LogisticDist, ChiSquareNoncentralDist, JohnsonSBDist, BetaDist, GumbelDist, EmpiricalDist, StudentDist, Pearson6Dist, TriangularDist, WeibullDist, ExtremeValueDist, WatsonUDist, CauchyDist, FatigueLifeDist, JohnsonSUDist, LoglogisticDist, NormalDist, HyperbolicSecantDist, LaplaceDist, BetaSymmetricalDist, ConstantDist, KolmogorovSmirnovDist, TruncatedDist, KolmogorovSmirnovPlusDist, ChiDist, ChiSquareDist, InverseGaussianDist, AndersonDarlingDistQuick, PowerDist, WatsonGDist, LognormalDist, Pearson5Dist, AndersonDarlingDist, FoldedNormalDist, InverseGammaDist, KolmogorovSmirnovDistQuick, CramerVonMisesDist, HypoExponentialDistEqual, ParetoDist, RayleighDist, ExponentialDist, UniformDist, HalfNormalDist, NakagamiDist, FisherFDist, StudentDistQuick, NormalDistQuick, and ChiSquareDistQuick.

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The documentation for this interface was generated from the following file:

• Distribution.java