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34 lines
1.1 KiB
C++
34 lines
1.1 KiB
C++
#ifndef _EXTREME_VAL_DISTRIBUTION
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#define _EXTREME_VAL_DISTRIBUTION
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#include "definitions.h"
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#define EULER_CONSTANT 0.5772156649015328606065120900824024310421593359399235
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/*
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The extreme value distribution is used to model the largest
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value from a large collection of random observations from the
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same distribution.
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1. The distribution has two parameters:
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a location parameter alpha and a scale parameter beta.
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2. The cumulative distribution function (CDF) is:
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exp(-exp(-(x-alpha)/beta))
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3. Mean: E(x) = alpha + beta*EULER_CONSTANT
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STD(x) = beta * pi / sqrt(6)
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*/
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class extremeValDistribution
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{
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public:
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extremeValDistribution();
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extremeValDistribution(const extremeValDistribution& other);
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extremeValDistribution& operator=(const extremeValDistribution& other);
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virtual ~extremeValDistribution();
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//fit the alpha and beta parameters from a population mean and std
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void fitParametersFromMoments(MDOUBLE exp, MDOUBLE std);
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MDOUBLE getCDF(MDOUBLE score) const;
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MDOUBLE getInverseCDF(MDOUBLE pVal) const;
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private:
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MDOUBLE _alpha;
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MDOUBLE _beta;
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};
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#endif //_EXTREME_VAL_DISTRIBUTION
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