/usr/include/openturns/Beta.hxx is in libopenturns-dev 1.9-5.
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/**
* @brief The Beta distribution
*
* Copyright 2005-2017 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/>.
*
*/
#ifndef OPENTURNS_BETA_HXX
#define OPENTURNS_BETA_HXX
#include "openturns/ContinuousDistribution.hxx"
BEGIN_NAMESPACE_OPENTURNS
/**
* @class Beta
*
* The Beta distribution.
*/
class OT_API Beta
: public ContinuousDistribution
{
CLASSNAME;
public:
typedef Pointer<DistributionImplementation> Implementation;
/** Default constructor */
Beta();
/** Parameters constructor */
Beta(const Scalar r,
const Scalar t,
const Scalar a,
const Scalar b);
/** Comparison operator */
Bool operator ==(const Beta & other) const;
protected:
Bool equals(const DistributionImplementation & other) const;
public:
/** String converter */
String __repr__() const;
String __str__(const String & offset = "") const;
/* Interface inherited from Distribution */
/** Virtual constructor */
virtual Beta * clone() const;
/** Get one realization of the distribution */
Point getRealization() const;
/** Get the DDF of the distribution */
using ContinuousDistribution::computeDDF;
Point computeDDF(const Point & point) const;
/** Get the PDF of the distribution */
using ContinuousDistribution::computePDF;
Scalar computePDF(const Point & point) const;
using ContinuousDistribution::computeLogPDF;
Scalar computeLogPDF(const Point & point) const;
/** Get the CDF of the distribution */
using ContinuousDistribution::computeCDF;
Scalar computeCDF(const Point & point) const;
/** Get the PDFGradient of the distribution */
using ContinuousDistribution::computePDFGradient;
Point computePDFGradient(const Point & point) const;
/** Get the CDFGradient of the distribution */
using ContinuousDistribution::computeCDFGradient;
Point computeCDFGradient(const Point & point) const;
/** Get the characteristic function of the distribution, i.e. phi(u) = E(exp(I*u*X)) */
Complex computeCharacteristicFunction(const Scalar x) const;
/** Get the roughness, i.e. the L2-norm of the PDF */
Scalar getRoughness() const;
/** Get the standard deviation of the distribution */
Point getStandardDeviation() const;
/** Get the skewness of the distribution */
Point getSkewness() const;
/** Get the kurtosis of the distribution */
Point getKurtosis() const;
/** Get the raw moments of the standardized distribution */
Point getStandardMoment(const UnsignedInteger n) const;
/** Get the standard representative in the parametric family, associated with the standard moments */
Implementation getStandardRepresentative() const;
/** Parameters value accessors */
void setParameter(const Point & parameter);
Point getParameter() const;
/** Parameters description accessor */
Description getParameterDescription() const;
/** Check if the distribution is elliptical */
Bool isElliptical() const;
/* Interface specific to Beta */
/** R accessor */
void setR(const Scalar r);
Scalar getR() const;
/** T accessor */
void setT(const Scalar t);
Scalar getT() const;
/** A accessor */
void setA(const Scalar a);
Scalar getA() const;
/** B accessor */
void setB(const Scalar b);
Scalar getB() const;
/** 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:
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 */
Scalar computeScalarQuantile(const Scalar prob,
const Bool tail = false) const;
/** RT accessor that avoid a check between the setting of r and the setting of t */
void setRT(const Scalar r,
const Scalar t);
/** 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 */
Scalar r_;
Scalar t_;
Scalar a_;
Scalar b_;
Scalar normalizationFactor_;
}; /* class Beta */
END_NAMESPACE_OPENTURNS
#endif /* OPENTURNS_BETA_HXX */
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