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/**
* @file ZipfMandelbrot.hxx
* @brief The ZipfMandelbrot distribution
*
* Copyright 2005-2015 Airbus-EDF-IMACS-Phimeca
*
* This library is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* along with this library. If not, see <http://www.gnu.org/licenses/>.
*
* @author dutka
* @date 2010-07-12 15:45:44 +0200 (lun. 12 juil. 2010)
*/
#ifndef OPENTURNS_ZIPFMANDELBROT_HXX
#define OPENTURNS_ZIPFMANDELBROT_HXX
#include "OTprivate.hxx"
#include "DiscreteDistribution.hxx"
BEGIN_NAMESPACE_OPENTURNS
/**
* @class ZipfMandelbrot
*
* The ZipfMandelbrot distribution.
*/
class OT_API ZipfMandelbrot
: public DiscreteDistribution
{
CLASSNAME;
public:
typedef Collection<NumericalScalar> NumericalScalarCollection;
/** Default constructor */
ZipfMandelbrot();
/** Parameters constructor */
ZipfMandelbrot(const UnsignedInteger n,
const NumericalScalar q,
const NumericalScalar s);
/** Comparison operator */
Bool operator ==(const ZipfMandelbrot & other) const;
/** String converter */
String __repr__() const;
String __str__(const String & offset = "") const;
/* Interface inherited from Distribution */
/** Virtual constructor */
virtual ZipfMandelbrot * clone() const;
/** Get one realization of the distribution */
NumericalPoint getRealization() const;
/** Get the PDF of the distribution */
using DiscreteDistribution::computePDF;
NumericalScalar computePDF(const NumericalPoint & point) const;
/** Get the CDF of the distribution */
using DiscreteDistribution::computeCDF;
NumericalScalar computeCDF(const NumericalPoint & point) const;
/** Get the standard deviation of the distribution */
NumericalPoint getStandardDeviation() const;
/** Get the skewness of the distribution */
NumericalPoint getSkewness() const;
/** Get the kurtosis of the distribution */
NumericalPoint getKurtosis() const;
/* Interface specific to ZipfMandelbrot */
/** Q accessor */
void setQ(const NumericalScalar q);
NumericalScalar getQ() const;
/** S accessor */
void setS(const NumericalScalar s);
NumericalScalar getS() const;
/** N accessor */
void setN(const UnsignedInteger n);
UnsignedInteger getN() const;
/** Get the support of a discrete distribution that intersect a given interval */
using DistributionImplementation::getSupport;
NumericalSample getSupport(const Interval & interval) const;
/** Parameters value and description accessor */
NumericalPointWithDescriptionCollection getParametersCollection() const;
using DiscreteDistribution::setParametersCollection;
void setParametersCollection(const NumericalPointCollection & parametersCollection);
/** Method save() stores the object through the StorageManager */
void save(Advocate & adv) const;
/** Method load() reloads the object from the StorageManager */
void load(Advocate & adv);
protected:
/* Compute generalized harmonic numbers */
NumericalScalar getHarmonicNumbers(UnsignedInteger const) const;
void computeHarmonicNumbers();
NumericalScalarCollection harmonicNumbers_;
private:
/** Get the quantile of the distribution */
NumericalScalar computeScalarQuantile(const NumericalScalar prob,
const Bool tail = false) const;
/** Compute the mean of the distribution */
void computeMean() const;
/** Compute the covariance of the distribution */
void computeCovariance() const;
/** Compute the numerical range of the distribution given the parameters values */
void computeRange();
/** The maximum value of the ZipfMandelbrot distribution */
UnsignedInteger n_;
/** The q probability parameter of the ZipfMandelbrot distribution */
NumericalScalar q_;
/** The s probability parameter of the ZipfMandelbrot distribution */
NumericalScalar s_;
}; /* class ZipfMandelbrot */
END_NAMESPACE_OPENTURNS
#endif /* OPENTURNS_ZIPFMANDELBROT_HXX */
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