/usr/include/openturns/Beta.hxx is in libopenturns-dev 0.15-2.
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/**
* @file Beta.hxx
* @brief The Beta distribution
*
* (C) Copyright 2005-2011 EDF-EADS-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 2.1 of the License.
*
* 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
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
* @author: $LastChangedBy: souchaud $
* @date: $LastChangedDate: 2011-07-01 10:34:36 +0200 (Fri, 01 Jul 2011) $
* Id: $Id: Beta.hxx 1981 2011-07-01 08:34:36Z souchaud $
*/
#ifndef OPENTURNS_BETA_HXX
#define OPENTURNS_BETA_HXX
#include "NonEllipticalDistribution.hxx"
namespace OpenTURNS {
namespace Uncertainty {
namespace Distribution {
/**
* @class Beta
*
* The Beta distribution.
*/
class Beta
: public Model::NonEllipticalDistribution
{
CLASSNAME;
public:
typedef Base::Common::InvalidArgumentException InvalidArgumentException;
typedef Model::NonEllipticalDistribution NonEllipticalDistribution; // required by SWIG
typedef NonEllipticalDistribution::NumericalPoint NumericalPoint;
typedef NonEllipticalDistribution::NumericalSample NumericalSample;
typedef NonEllipticalDistribution::CovarianceMatrix CovarianceMatrix;
typedef NonEllipticalDistribution::NumericalPointWithDescriptionCollection NumericalPointWithDescriptionCollection;
typedef NonEllipticalDistribution::NotDefinedException NotDefinedException;
typedef NonEllipticalDistribution::StorageManager StorageManager;
enum ParameterSet { RT, MUSIGMA };
/** Default constructor */
Beta();
/** Parameters constructor */
Beta(const NumericalScalar arg1,
const NumericalScalar arg2,
const NumericalScalar a,
const NumericalScalar b,
const ParameterSet set = RT)
/* throw (InvalidArgumentException) */;
/** Comparison operator */
Bool operator ==(const Beta & other) const;
/** String converter */
String __repr__() const;
String __str__(const String & offset = "") const;
/* Interface inherited from Distribution */
/** Virtual constructor */
Beta * clone() const;
/** Get one realization of the distribution */
NumericalPoint getRealization() const;
/** Get the DDF of the distribution */
using NonEllipticalDistribution::computeDDF;
NumericalPoint computeDDF(const NumericalPoint & point) const;
/** Get the PDF of the distribution */
using NonEllipticalDistribution::computePDF;
NumericalScalar computePDF(const NumericalPoint & point) const;
/** Get the CDF of the distribution */
using NonEllipticalDistribution::computeCDF;
NumericalScalar computeCDF(const NumericalPoint & point, const Bool tail = false) const;
/** Get the PDFGradient of the distribution */
NumericalPoint computePDFGradient(const NumericalPoint & point) const;
/** Get the CDFGradient of the distribution */
NumericalPoint computeCDFGradient(const NumericalPoint & point) const;
/** Get the characteristic function of the distribution, i.e. phi(u) = E(exp(I*u*X)) */
NumericalComplex computeCharacteristicFunction(const NumericalScalar x,
const Bool logScale = false) const;
/** Get the roughness, i.e. the L2-norm of the PDF */
NumericalScalar getRoughness() const;
/** Get the standard deviation of the distribution */
NumericalPoint getStandardDeviation() const /* throw(NotDefinedException) */;
/** Get the skewness of the distribution */
NumericalPoint getSkewness() const /* throw(NotDefinedException) */;
/** Get the kurtosis of the distribution */
NumericalPoint getKurtosis() const /* throw(NotDefinedException) */;
/** Get the raw moments of the standardized distribution */
NumericalPoint getStandardMoment(const UnsignedLong n) const;
/** Parameters value and description accessor */
NumericalPointWithDescriptionCollection getParametersCollection() const;
using NonEllipticalDistribution::setParametersCollection;
void setParametersCollection(const NumericalPointCollection & parametersCollection);
/** Check if the distribution is elliptical */
Bool isElliptical() const;
/* Interface specific to Beta */
/** R accessor */
void setR(const NumericalScalar r)
/* throw(InvalidArgumentException) */;
NumericalScalar getR() const;
/** T accessor */
void setT(const NumericalScalar t)
/* throw(InvalidArgumentException) */;
NumericalScalar getT() const;
/** Mu accessor */
void setMuSigma(const NumericalScalar mu,
const NumericalScalar sigma);
NumericalScalar getMu() const;
/** Sigma accessor */
NumericalScalar getSigma() const;
/** A accessor */
void setA(const NumericalScalar a);
NumericalScalar getA() const;
/** B accessor */
void setB(const NumericalScalar b);
NumericalScalar getB() const;
/** Method save() stores the object through the StorageManager */
void save(StorageManager::Advocate & adv) const;
/** Method load() reloads the object from the StorageManager */
void load(StorageManager::Advocate & adv);
protected:
private:
/** Compute the mean of the distribution */
void computeMean() const;
/** Compute the covariance of the distribution */
void computeCovariance() const;
/** Get the quantile of the distribution */
NumericalScalar computeScalarQuantile(const NumericalScalar prob,
const Bool tail = false,
const NumericalScalar precision = DefaultQuantileEpsilon) const;
/** RT accessor that avoid a check between the setting of r and the setting of t */
void setRT(const NumericalScalar r,
const NumericalScalar t)
/* throw(InvalidArgumentException) */;
/** Compute the numerical range of the distribution given the parameters values */
void computeRange();
/** Update the derivative attributes */
void update();
/** The main parameter set of the distribution */
NumericalScalar r_;
NumericalScalar t_;
NumericalScalar a_;
NumericalScalar b_;
NumericalScalar normalizationFactor_;
}; /* class Beta */
} /* namespace Distribution */
} /* namespace Uncertainty */
} /* namespace OpenTURNS */
#endif /* OPENTURNS_BETA_HXX */
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