npstat::ComparisonDistribution1D Class Reference

Inheritance diagram for npstat::ComparisonDistribution1D:

Public Member Functions
	ComparisonDistribution1D (const AbsDistribution1D &compared, const AbsDistribution1D &baseline)
	ComparisonDistribution1D (const ComparisonDistribution1D &)
ComparisonDistribution1D &	operator= (const ComparisonDistribution1D &)
double	density (const double u) const
double	legendreCoeff (unsigned degree) const
void	legendreSeriesCoeffs (double *coeffs, unsigned maxDeg) const
double	trigCoeff (unsigned k, bool isCosine, unsigned nInteg) const
double	cosCoeff (unsigned k, unsigned nInteg) const
double	cdf (const double u) const
double	exceedance (const double u) const
double	quantile (const double x) const
virtual ComparisonDistribution1D *	clone () const
const AbsDistribution1D &	compared () const
const AbsDistribution1D &	baseline () const
virtual gs::ClassId	classId () const
virtual bool	write (std::ostream &os) const
Public Member Functions inherited from npstat::AbsDistribution1D
bool	operator== (const AbsDistribution1D &r) const
bool	operator!= (const AbsDistribution1D &r) const
virtual unsigned	random (AbsRandomGenerator &g, double *generatedRandom) const
long double	empiricalMoment (long double center, unsigned order, unsigned nIntegrationPoints=1024U, bool useFejerQuadrature=false) const
template<class Functor >
double	expectation (const Functor &fcn, unsigned nIntegrationPoints=1024U, bool useFejerQuadrature=false) const

Static Public Member Functions
static const char *	classname ()
static unsigned	version ()
static ComparisonDistribution1D *	read (const gs::ClassId &id, std::istream &in)
Static Public Member Functions inherited from npstat::AbsDistribution1D
static const char *	classname ()
static unsigned	version ()
static AbsDistribution1D *	read (const gs::ClassId &id, std::istream &)

Protected Member Functions
virtual bool	isEqual (const AbsDistribution1D &) const

Protected Attributes
const AbsDistribution1D *	pF_
const AbsDistribution1D *	pH_

Member Function Documentation

baseline()

const AbsDistribution1D& npstat::ComparisonDistribution1D::baseline ( ) const

inline

Fetch the base line distribution

cdf()

double npstat::ComparisonDistribution1D::cdf ( const double  u ) const

inlinevirtual

Cumulative distribution function

Implements npstat::AbsDistribution1D.

classId()

virtual gs::ClassId npstat::ComparisonDistribution1D::classId ( ) const

inlinevirtual

Method needed for "geners" I/O

Implements npstat::AbsDistribution1D.

clone()

virtual ComparisonDistribution1D* npstat::ComparisonDistribution1D::clone ( ) const

inlinevirtual

"Virtual copy constructor"

Implements npstat::AbsDistribution1D.

compared()

const AbsDistribution1D& npstat::ComparisonDistribution1D::compared ( ) const

inline

Fetch the compared distribution

cosCoeff()

double npstat::ComparisonDistribution1D::cosCoeff	(	unsigned	k,
		unsigned	nInteg
	)		const

Coefficient of expansion of this function into cosine basis, that is, sqrt(2)*cos(k Pi x). The integration is performed using the rectangle integration rule, with nInteg intervals. nInteg should be substantially larger than k, something like 16*k should work reasonably well.

density()

double npstat::ComparisonDistribution1D::density ( const double  u ) const

virtual

Probability density

Implements npstat::AbsDistribution1D.

exceedance()

double npstat::ComparisonDistribution1D::exceedance ( const double  u ) const

inlinevirtual

Exceedance (i.e., 1 - cdf)

Implements npstat::AbsDistribution1D.

isEqual()

virtual bool npstat::ComparisonDistribution1D::isEqual ( const AbsDistribution1D &  ) const

protectedvirtual

Comparison for equality. To be implemented by derived classes.

Implements npstat::AbsDistribution1D.

legendreCoeff()

double npstat::ComparisonDistribution1D::legendreCoeff

(

unsigned

degree

)

const

Coefficient of expansion of the density into shifted Legendre polynomials (that is, Legendre polynomials orthonormal on [0, 1]).

legendreSeriesCoeffs()

void npstat::ComparisonDistribution1D::legendreSeriesCoeffs	(	double *	coeffs,
		unsigned	maxDeg
	)		const

All coefficients of the Legendre polynomial expansion of the density, up to the degree requested. The array "coeffs" should have at least maxDeg+1 elements.

quantile()

double npstat::ComparisonDistribution1D::quantile ( const double  x ) const

inlinevirtual

Quantile function

Implements npstat::AbsDistribution1D.

trigCoeff()

double npstat::ComparisonDistribution1D::trigCoeff	(	unsigned	k,
		bool	isCosine,
		unsigned	nInteg
	)		const

Coefficient of expansion of this function into trigonometric functions, that is, sqrt(2)*sin(2 k Pi x) and sqrt(2)*cos(2 k Pi x). The integration is performed using the rectangle integration rule, with nInteg intervals. nInteg should be substantially larger than k, something like 32*k should work reasonably well.

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

• stat/ComparisonDistribution1D.hh