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DistNormal Class Reference

This class describes the Normal (Gauss) distribution. More...

#include <Distributions.h>

Inheritance diagram for DistNormal:

[legend]Collaboration diagram for DistNormal:

[legend]List of all members.

Public Methods
	DistNormal (Zahl mm=0, Zahl ss=1)
virtual	~DistNormal ()
virtual string	DistributionName ()
virtual Zahl	pdf (Zahl y, Zahl para, Zahl para1)
virtual Zahl	Transform (Zahl y, Zahl mm, Zahl ss)
virtual Zahl	cdf (Zahl y, Zahl para, Zahl para1)
virtual Zahl	cdfc (Zahl y, Zahl para, Zahl para1)
virtual int	Range ()
virtual int	ParameterRange (int paranr)
virtual Zahl	mgf (Zahl y, Zahl para, Zahl para1)
virtual Zahl	Moment (int k, Zahl para, Zahl para1)
virtual Zahl	Mean (Zahl para, Zahl para1)
virtual Zahl	Variance (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)
virtual Zahl	CharacteristicFunction (Zahl y, Zahl para, Zahl para1)
virtual Zahl	Median (Zahl para, Zahl para1)
virtual Zahl	Q1 (Zahl para, Zahl para1)
virtual Zahl	Q3 (Zahl para, Zahl para1)
virtual Zahl	Mode (Zahl para, Zahl para1)
virtual Zahl	qMean (Zahl para, Zahl para1)
virtual Zahl	qMode (Zahl para, Zahl para1)

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Detailed Description

This class describes the Normal (Gauss) distribution.

Author(s):

Reinhold Kainhofer

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Constructor & Destructor Documentation

DistNormal::DistNormal ( Zahl mm = 0, Zahl ss = 1 )

DistNormal::~DistNormal ( ) [virtual]

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Member Function Documentation

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

string DistNormal::DistributionName ( ) [virtual]

Returns a string specifying the name of this distribution. Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

Zahl DistNormal::Median ( Zahl para, Zahl para1 ) [virtual]

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

Zahl DistNormal::Mode ( Zahl para, Zahl para1 ) [virtual]

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

int DistNormal::ParameterRange ( int paranr ) [virtual]

Reimplemented from Distribution. Reimplemented in DistFoldedNormal.

Zahl DistNormal::Q1 ( Zahl para, Zahl para1 ) [virtual]

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

Zahl DistNormal::Q3 ( Zahl para, Zahl para1 ) [virtual]

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

int DistNormal::Range ( ) [virtual]

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

Transform the number y \in [0,1) to a normal distributed variable with N(mm, ss) by first transforming it to N(0,1) The quantile function is approximated by a broken rational function. folr 0.5<=y<1 use Hasting's approximation Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

The distribution function needs to be calculated numerically. Not implemented... Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, and DistHalfNormal.

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

Zahl DistNormal::qMean ( Zahl para, Zahl para1 ) [virtual]

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

Zahl DistNormal::qMode ( Zahl para, Zahl para1 ) [virtual]

Reimplemented from Distribution. Reimplemented in DistFoldedNormal, DistHalfNormal, and DistLogNormal.

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

• Distributions.h
• Distributions.cpp

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