Generates random samples from an Epanechnikov kernel estimate. More...

#include <pdf1d_epanech_kernel_pdf_sampler.h>

Inheritance diagram for pdf1d_epanech_kernel_pdf_sampler:

Public Member Functions
	pdf1d_epanech_kernel_pdf_sampler ()
	Dflt ctor.
virtual	~pdf1d_epanech_kernel_pdf_sampler ()
	Destructor.
const pdf1d_epanech_kernel_pdf &	epanech_kernel_pdf () const
virtual double	sample ()
	Draw random sample from distribution.
virtual void	regular_samples (vnl_vector< double > &x)
	Fill x with samples possibly chosen so as to represent the distribution.
virtual void	reseed (unsigned long)
	Reseeds the static random number generator (one per derived class).
short	version_no () const
	Version number for I/O.
virtual vcl_string	is_a () const
	Name of the class.
virtual bool	is_class (vcl_string const &s) const
	Does the name of the class match the argument?.
virtual pdf1d_sampler *	clone () const
	Create a copy on the heap and return base class pointer.
const pdf1d_pdf &	model () const
	PDF of which this is an instance.
virtual void	set_model (const pdf1d_pdf &)
	Set model for which this is an instance.
virtual void	get_samples (vnl_vector< double > &x)
	Fill x with samples drawn from distribution.
virtual void	regular_samples_and_prob (vnl_vector< double > &x, vnl_vector< double > &p)
	Fill x with samples possibly chosen so as to represent the distribution.
virtual void	print_summary (vcl_ostream &os) const
	Print class to os.
Static Public Member Functions
static double	epan_transform (double x)
	Transform a unit uniform distribution x into an Epanech distribution y.
Protected Attributes
vnl_random	rng_
	The random number generator.
const pdf1d_pdf *	pdf_model_

Detailed Description

Generates random samples from an Epanechnikov kernel estimate.

Definition at line 15 of file pdf1d_epanech_kernel_pdf_sampler.h.

Constructor & Destructor Documentation

pdf1d_epanech_kernel_pdf_sampler::pdf1d_epanech_kernel_pdf_sampler ( )

Dflt ctor.

Definition at line 17 of file pdf1d_epanech_kernel_pdf_sampler.cxx.

pdf1d_epanech_kernel_pdf_sampler::~pdf1d_epanech_kernel_pdf_sampler ( ) [virtual]

Destructor.

Definition at line 22 of file pdf1d_epanech_kernel_pdf_sampler.cxx.

Member Function Documentation

pdf1d_sampler * pdf1d_epanech_kernel_pdf_sampler::clone ( ) const [virtual]

Create a copy on the heap and return base class pointer.

Implements pdf1d_sampler.

Definition at line 148 of file pdf1d_epanech_kernel_pdf_sampler.cxx.

double pdf1d_epanech_kernel_pdf_sampler::epan_transform ( double x ) [static]

Transform a unit uniform distribution x into an Epanech distribution y.

$0 <= x <= 1 => -sqrt(5) <= y <= sqrt(5)$ Matlab found 6 solutions to ${\frac {3}{20}}\,\left |{\it Dy}\right |\sqrt {5}\left (1-1/5\,{y}^{2}\right )=1$ The 6th, which has the correct properties is $-1/2\, [3]{-10\, {5}x+5\, {-5+20\,{x}^{2}}}-5/2\, { {1}{ [3]{-10\, {5}x+5\, {-5+20\,{x}^{2}}}}}-1/2\, {-1} {3} ( [3]{-10\, {5}x+5\, {-5+20\, {x}^{2}}}-5\,{ {1}{ [3]{-10\, {5}x+5\, {-5+20\, {x}^{2}}}}} )$