plLogNormal Class Reference

A {plLogNormal} is a one-dimensional probability distribution on a single variable of {plRealType} type. More...

#include <plLogNormal.h>

Inheritance diagram for plLogNormal:

[legend]Collaboration diagram for plLogNormal:

[legend]List of all members.

Public Member Functions
	plLogNormal (const plVariablesConjunction &V, plFloat sigma, plFloat theta=PL_ZERO, plFloat m=PL_ONE)
	Constructs a {plLogNormal} on the Variable {V}, where {sigma} is the shape parameter,{theta} the location parameter and {m} is the scale parameter.
virtual	~plLogNormal ()
	Destructor.

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Detailed Description

A {plLogNormal} is a one-dimensional probability distribution on a single variable of {plRealType} type.

A variable X is said to be lognormally distributed if Y = LN(X) is normally distributed with "LN" denoting the natural logarithm. The general formula for the probability density function of the lognormal distribution is:

p(x) = exp (- (ln( (x-theta)/m) )^2/(2*sigma^2)) / ( (x - theta)*sigma*(2*pi)^(1/2) )

where 'sigma' is the shape parameter,'theta' is the location parameter and 'm' is the scale parameter. The case where theta = 0 and m = 1 is called the standard lognormal distribution. The case where theta equals zero is called the 2-parameter lognormal distribution.

Definition at line 39 of file plLogNormal.h.

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Constructor & Destructor Documentation

plLogNormal::plLogNormal (  const plVariablesConjunction &  V, plFloat  sigma, plFloat  theta = PL_ZERO, plFloat  m = PL_ONE )

Constructs a {plLogNormal} on the Variable {V}, where {sigma} is the shape parameter,{theta} the location parameter and {m} is the scale parameter. The case where theta = 0 and m = 1 is called the standard lognormal distribution. The case where theta equals zero is called the 2-parameter lognormal distribution.

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

• plLogNormal.h

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