BivariateNormalDistribution Class Reference

Class for Bivariate Normal Distribution. More...

#include <bivariate_normal_distribution.h>

Public Member Functions
	BivariateNormalDistribution ()
	Default constructor.
	BivariateNormalDistribution (Point2 const &mean, double const &sigma, double const scale=1)
	Constructor for standard distribution.
	BivariateNormalDistribution (Point2 const &mean, Point2 const &sigma, double const rho, double const scale=1)
	Constructor for general distribution.
Point2	GetMean () const
	Returns the mean of the distribution.
Point2	GetSigma () const
	Returns the standard deviation of the distribution.
double	GetRho () const
	Returns the correlation coefficient of the distribution.
double	GetScale () const
	Returns the scale of the distribution.
Point2	TransformPoint (Point2 const &in_point) const
	Transforms a point from general distribution to standard distribution.
Point2f	TransformPoint (Point2f const &in_point_f) const
double	IntegrateQuarterPlane (Point2 const &point) const
	Integrates the distribution over a quarter plane The function integrates the distribution over a quarter plane, i.e. \(x > point.x()\) and \(y > point.y()\).
float	IntegrateQuarterPlane (Point2f const &point) const

Detailed Description

Class for Bivariate Normal Distribution.

The class is used to represent a bivariate normal distribution. The distribution can be in its general form or a standard form. The standard form is \(\mathcal N\sim ((0,0), 1)\) and the general form is \(\mathcal N\sim ((\mu_x, \mu_y), (\sigma_x, \sigma_y), \rho)\). The class can be used to transform points from standard distribution to general distribution and vice versa. The class can also be used to integrate the distribution over a quarter plane.

Definition at line 55 of file bivariate_normal_distribution.h.

Constructor & Destructor Documentation

BivariateNormalDistribution() [1/3]

BivariateNormalDistribution ( )

inline

Default constructor.

The default constructor initializes the distribution to standard form.

Definition at line 70 of file bivariate_normal_distribution.h.

BivariateNormalDistribution() [2/3]

BivariateNormalDistribution ( Point2 const & mean, double const & sigma, double const scale = 1 )

inline

Constructor for standard distribution.

The constructor initializes the distribution to standard form.

Parameters

mean	Mean of the distribution
sigma	Standard deviation of the distribution
scale	Scale of the distribution

Definition at line 86 of file bivariate_normal_distribution.h.

BivariateNormalDistribution() [3/3]

BivariateNormalDistribution ( Point2 const & mean, Point2 const & sigma, double const rho, double const scale = 1 )

inline

Constructor for general distribution.

The constructor initializes the distribution to general form.

Parameters

mean	Mean of the distribution
sigma	Standard deviation of the distribution
rho	Correlation coefficient of the distribution
scale	Scale of the distribution

Definition at line 105 of file bivariate_normal_distribution.h.

Member Function Documentation

GetMean()

Point2 GetMean ( ) const

inline

Returns the mean of the distribution.

Definition at line 121 of file bivariate_normal_distribution.h.

GetRho()

double GetRho ( ) const

inline

Returns the correlation coefficient of the distribution.

Definition at line 125 of file bivariate_normal_distribution.h.

GetScale()

double GetScale ( ) const

inline

Returns the scale of the distribution.

Definition at line 127 of file bivariate_normal_distribution.h.

GetSigma()

Point2 GetSigma ( ) const

inline

Returns the standard deviation of the distribution.

Definition at line 123 of file bivariate_normal_distribution.h.

IntegrateQuarterPlane() [1/2]

double IntegrateQuarterPlane ( Point2 const & point ) const

inline

Integrates the distribution over a quarter plane The function integrates the distribution over a quarter plane, i.e. \(x > point.x()\) and \(y > point.y()\).

Parameters

point

Point in standard distribution

Returns

Value of the integral

Definition at line 173 of file bivariate_normal_distribution.h.

IntegrateQuarterPlane() [2/2]

float IntegrateQuarterPlane ( Point2f const & point ) const

inline

Definition at line 179 of file bivariate_normal_distribution.h.

TransformPoint() [1/2]

Point2 TransformPoint ( Point2 const & in_point ) const

inline

Transforms a point from general distribution to standard distribution.

The function takes a point in general distribution and transforms it to standard distribution.

Parameters

in_point

Point in general distribution

Returns

Point in standard distribution

Definition at line 139 of file bivariate_normal_distribution.h.

TransformPoint() [2/2]

Point2f TransformPoint ( Point2f const & in_point_f ) const

inline

Definition at line 150 of file bivariate_normal_distribution.h.