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Distribution Class Reference

This is the base class for all distributions. More...

#include <Distributions.h>

Inheritance diagram for Distribution:

[legend]List of all members.

Public Methods
	Distribution (int paramnumber=0, Zahl para=0, Zahl para1=0)
virtual	~Distribution ()
virtual string	DistributionName ()
virtual string	DistributionShortName ()
virtual Zahl	pdf (Zahl y)
virtual Zahl	pdf (Zahl y, Zahl para)
virtual Zahl	pdf (Zahl y, Zahl para, Zahl para1)=0
virtual Zahl	Transform (Zahl y)
virtual Zahl	Transform (Zahl y, Zahl para)
virtual Zahl	Transform (Zahl y, Zahl para, Zahl para1)=0
virtual Zahl	TransformCut (Zahl y, Zahl cut)
virtual Zahl	TransformCut (Zahl y, Zahl cut, Zahl para)
virtual Zahl	TransformCut (Zahl y, Zahl cut, Zahl para, Zahl para1)
virtual void	SetParameter (Zahl para, int nr=0)
virtual Zahl	GetParameter (int nr=0)
virtual Zahl	cdf (Zahl y)
virtual Zahl	cdf (Zahl y, Zahl para)
virtual Zahl	cdf (Zahl y, Zahl para, Zahl para1)=0
virtual Zahl	cdfc (Zahl y)
virtual Zahl	cdfc (Zahl y, Zahl para)
virtual Zahl	cdfc (Zahl y, Zahl para, Zahl para1)
virtual int	Range ()=0
virtual int	ParameterRange (int paranr)=0
virtual Zahl	mgf (Zahl y, Zahl para, Zahl para1)=0
virtual Zahl	Moment (int k, Zahl para, Zahl para1)=0
virtual Zahl	Mean ()
virtual Zahl	Mean (Zahl para, Zahl para1)
virtual Zahl	Variance (Zahl para, Zahl para1)
virtual Zahl	StdDeviation (Zahl para, Zahl para1)
virtual Zahl	Skewness (Zahl para, Zahl para1)
virtual Zahl	Kurtosis (Zahl para, Zahl para1)
virtual Zahl	LogLikelihood (Zahl y, Zahl para, Zahl para1)=0
virtual Zahl	CharacteristicFunction (Zahl y, Zahl para, Zahl para1)=0
virtual Zahl	Median (Zahl para, Zahl para1)=0
virtual Zahl	Q1 (Zahl para, Zahl para1)=0
virtual Zahl	Q3 (Zahl para, Zahl para1)=0
virtual Zahl	Mode (Zahl para, Zahl para1)=0
virtual Zahl	qMean (Zahl para, Zahl para1)=0
virtual Zahl	qMode (Zahl para, Zahl para1)=0
Protected Attributes
Zahl	param [4]
int	paramnr

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Detailed Description

This is the base class for all distributions.

Author(s):

Reinhold Kainhofer

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Constructor & Destructor Documentation

Distribution::Distribution ( int paramnumber = 0, Zahl para = 0, Zahl para1 = 0 )

Distribution::~Distribution ( ) [virtual]

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Member Function Documentation

Zahl Distribution::CharacteristicFunction ( Zahl y, Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

string Distribution::DistributionName ( ) [virtual]

Returns a string specifying the name of this distribution. Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

string Distribution::DistributionShortName ( ) [virtual]

Zahl Distribution::GetParameter ( int nr = 0 ) [virtual]

Returns the parameter of this distribution.

Zahl Distribution::Kurtosis ( Zahl para, Zahl para1 ) [virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::LogLikelihood ( Zahl y, Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::Mean ( Zahl para, Zahl para1 ) [virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::Mean ( ) [virtual]

Zahl Distribution::Median ( Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::Mode ( Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::Moment ( int k, Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

int Distribution::ParameterRange ( int paranr ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistNormal, DistFoldedNormal, DistPareto, DistUniform, and DistWeibull.

Zahl Distribution::Q1 ( Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::Q3 ( Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

int Distribution::Range ( ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

void Distribution::SetParameter ( Zahl para, int nr = 0 ) [virtual]

Sets the parameter for the distribution.

Zahl Distribution::Skewness ( Zahl para, Zahl para1 ) [virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::StdDeviation ( Zahl para, Zahl para1 ) [virtual]

Reimplemented in DistBeta, and DistBradford.

Zahl Distribution::Transform ( Zahl y, Zahl mm, Zahl ss ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::Transform ( Zahl y, Zahl para ) [virtual]

Zahl Distribution::Transform ( Zahl y ) [virtual]

transforms the uniform variate y to a variate distributed with this distribution.

Zahl Distribution::TransformCut ( Zahl y, Zahl cut, Zahl para, Zahl para1 ) [virtual]

Reimplemented in DistTemplate, and DistGamma.

Zahl Distribution::TransformCut ( Zahl y, Zahl cut, Zahl para ) [virtual]

Zahl Distribution::TransformCut ( Zahl y, Zahl cut ) [virtual]

transforms the uniform variate y to a variate distributed with this distribution, but only between 0 and cut, so the density needs to be rescaled.

Zahl Distribution::Variance ( Zahl para, Zahl para1 ) [virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::cdf ( Zahl y, Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::cdf ( Zahl y, Zahl para ) [virtual]

Zahl Distribution::cdf ( Zahl y ) [virtual]

returns the distribution function F(y).

Zahl Distribution::cdfc ( Zahl y, Zahl para, Zahl para1 ) [virtual]

Reimplemented in DistTemplate, DistExp, DistNormal, DistFoldedNormal, DistHalfNormal, DistPareto, DistPareto0, and DistWeibull.

Zahl Distribution::cdfc ( Zahl y, Zahl para ) [virtual]

Zahl Distribution::cdfc ( Zahl y ) [virtual]

returns 1-F(y).

Zahl Distribution::mgf ( Zahl y, Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::pdf ( Zahl y, Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::pdf ( Zahl y, Zahl para ) [virtual]

Zahl Distribution::pdf ( Zahl y ) [virtual]

returns the value f(y) of the distribution density at y.

Zahl Distribution::qMean ( Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

Zahl Distribution::qMode ( Zahl para, Zahl para1 ) [pure virtual]

Reimplemented in DistTemplate, DistBeta, DistBradford, DistCauchy, DistExp, DistGamma, DistLaplace, DistNormal, DistFoldedNormal, DistHalfNormal, DistLogNormal, DistPareto, DistPareto0, DistUniform, and DistWeibull.

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Member Data Documentation

Zahl Distribution::param [protected]

int Distribution::paramnr [protected]

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

• Distributions.h

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