Kernel Density Estimation class.

The three main references are:

"Scott DW, Multivariate Density Estimation. Theory, Practice and Visualization. New York: Wiley",
"Jann Ben - ETH Zurich, Switzerland -, Univariate kernel density estimation document for KDENS: Stata module for univariate kernel density estimation."
"Hardle W, Muller M, Sperlich S, Werwatz A, Nonparametric and Semiparametric Models. Springer."
"Cranmer KS, Kernel Estimation in High-Energy Physics. Computer Physics Communications 136:198-207,2001" - e-Print Archive: hep ex/0011057.

The algorithm is briefly described in (4). A binned version is also implemented to address the performance issue due to its data size dependance.

Definition at line 37 of file TKDE.h.

Public Types
enum	EKernelType { kGaussian, kEpanechnikov, kBiweight, kCosineArch, kUserDefined, kTotalKernels }

enum	EIteration { kAdaptive, kFixed }

enum	EMirror { kNoMirror, kMirrorLeft, kMirrorRight, kMirrorBoth, kMirrorAsymLeft, kMirrorAsymLeftRight, kMirrorAsymRight, kMirrorLeftAsymRight, kMirrorAsymBoth }

enum	EBinning { kUnbinned, kRelaxedBinning, kForcedBinning }

Public Types inherited from TObject
enum	EStatusBits { kCanDelete = BIT(0), kMustCleanup = BIT(3), kObjInCanvas = BIT(3), kIsReferenced = BIT(4), kHasUUID = BIT(5), kCannotPick = BIT(6), kNoContextMenu = BIT(8), kInvalidObject = BIT(13) }

enum	{ kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kBitMask = 0x00ffffff }

enum	{ kSingleKey = BIT(0), kOverwrite = BIT(1), kWriteDelete = BIT(2) }

Public Member Functions
	TKDE (UInt_t events=0, const Double_t data=0, Double_t xMin=0.0, Double_t xMax=0.0, const Option_t option="KernelType:Gaussian;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning", Double_t rho=1.0)

	TKDE (UInt_t events, const Double_t data, const Double_t dataWeight, Double_t xMin=0.0, Double_t xMax=0.0, const Option_t *option="KernelType:Gaussian;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning", Double_t rho=1.0)

template<class KernelFunction >
	TKDE (const Char_t , const KernelFunction &kernfunc, UInt_t events, const Double_t data, Double_t xMin=0.0, Double_t xMax=0.0, const Option_t *option="KernelType:UserDefined;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning", Double_t rho=1.0)

template<class KernelFunction >
	TKDE (const Char_t , const KernelFunction &kernfunc, UInt_t events, const Double_t data, const Double_t dataWeight, Double_t xMin=0.0, Double_t xMax=0.0, const Option_t option="KernelType:UserDefined;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning", Double_t rho=1.0)

virtual	~TKDE ()

void	Fill (Double_t data)

void	Fill (Double_t data, Double_t weight)

void	SetKernelType (EKernelType kern)

void	SetIteration (EIteration iter)

void	SetMirror (EMirror mir)

void	SetBinning (EBinning)

void	SetNBins (UInt_t nbins)

void	SetUseBinsNEvents (UInt_t nEvents)

void	SetTuneFactor (Double_t rho)

void	SetRange (Double_t xMin, Double_t xMax)

virtual void	Draw (const Option_t *option="")

Double_t	operator() (Double_t x) const

Double_t	operator() (const Double_t x, const Double_t p=0) const

Double_t	GetValue (Double_t x) const

Double_t	GetError (Double_t x) const

Double_t	GetBias (Double_t x) const

Double_t	GetMean () const

Double_t	GetSigma () const

Double_t	GetRAMISE () const

Double_t	GetFixedWeight () const

TF1 *	GetFunction (UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0)

TF1 *	GetUpperFunction (Double_t confidenceLevel=0.95, UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0)

TF1 *	GetLowerFunction (Double_t confidenceLevel=0.95, UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0)

TF1 *	GetApproximateBias (UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0)

TGraphErrors *	GetGraphWithErrors (UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0)

TF1 *	GetDrawnFunction ()

TF1 *	GetDrawnUpperFunction ()

TF1 *	GetDrawnLowerFunction ()

TGraphErrors *	GetDrawnGraph ()

const Double_t *	GetAdaptiveWeights () const

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TString &name, const TString &title)

	TNamed (const TNamed &named)

TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator. More...

virtual	~TNamed ()

virtual void	Clear (Option_t *option="")
	Set name and title to empty strings (""). More...

virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility. More...

virtual Int_t	Compare (const TObject *obj) const
	Compare two TNamed objects. More...

virtual void	Copy (TObject &named) const
	Copy this to obj. More...

virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer. More...

virtual const char *	GetName () const
	Returns name of object. More...

virtual const char *	GetTitle () const
	Returns title of object. More...

virtual ULong_t	Hash () const
	Return hash value for this object. More...

virtual Bool_t	IsSortable () const

virtual void	SetName (const char *name)
	Change (i.e. More...

virtual void	SetNameTitle (const char name, const char title)
	Change (i.e. set) all the TNamed parameters (name and title). More...

virtual void	SetTitle (const char *title="")
	Change (i.e. set) the title of the TNamed. More...

virtual void	ls (Option_t *option="") const
	List TNamed name and title. More...

virtual void	Print (Option_t *option="") const
	Print TNamed name and title. More...

virtual Int_t	Sizeof () const
	Return size of the TNamed part of the TObject. More...

Public Member Functions inherited from TObject
	TObject ()

	TObject (const TObject &object)
	TObject copy ctor. More...

TObject &	operator= (const TObject &rhs)
	TObject assignment operator. More...

virtual	~TObject ()
	TObject destructor. More...

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad. More...

virtual void	Browse (TBrowser *b)
	Browse object. May be overridden for another default action. More...

virtual const char *	ClassName () const
	Returns name of class to which the object belongs. More...

virtual void	Delete (Option_t *option="")
	Delete this object. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Computes distance from point (px,py) to the object. More...

virtual void	Draw (Option_t *option="")
	Default Draw method for all objects. More...

virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs. More...

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current pad. More...

virtual void	Dump () const
	Dump contents of object on stdout. More...

virtual void	Execute (const char method, const char params, Int_t *error=0)
	Execute method on this object with the given parameter string, e.g. More...

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=0)
	Execute method on this object with parameters stored in the TObjArray. More...

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to an event at (px,py). More...

virtual TObject *	FindObject (const char *name) const
	Must be redefined in derived classes. More...

virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes. More...

virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object. More...

virtual UInt_t	GetUniqueID () const
	Return the unique object id. More...

virtual const char *	GetIconName () const
	Returns mime type name of object. More...

virtual Option_t *	GetOption () const

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Returns string containing info about the object at position (px,py). More...

virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out. More...

virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname". More...

virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl. More...

virtual void	Inspect () const
	Dump contents of this object in a graphics canvas. More...

virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More...

virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory). More...

Bool_t	IsOnHeap () const

Bool_t	IsZombie () const

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification. More...

virtual void	Paint (Option_t *option="")
	This method must be overridden if a class wants to paint itself. More...

virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list. More...

virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory. More...

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list. More...

virtual void	SaveAs (const char filename="", Option_t option="") const
	Save this object in the file specified by filename. More...

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out". More...

virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object. More...

virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id. More...

virtual void	UseCurrentStyle ()
	Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory. More...

void *	operator new (size_t sz)

void *	operator new[] (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz, void *vp)

void	operator delete (void *ptr)
	Operator delete. More...

void	operator delete[] (void *ptr)
	Operator delete []. More...

void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f. More...

void	SetBit (UInt_t f)

void	ResetBit (UInt_t f)

Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

void	InvertBit (UInt_t f)

virtual void	Info (const char method, const char msgfmt,...) const
	Issue info message. More...

virtual void	Warning (const char method, const char msgfmt,...) const
	Issue warning message. More...

virtual void	Error (const char method, const char msgfmt,...) const
	Issue error message. More...

virtual void	SysError (const char method, const char msgfmt,...) const
	Issue system error message. More...

virtual void	Fatal (const char method, const char msgfmt,...) const
	Issue fatal error message. More...

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract. More...

void	MayNotUse (const char *method) const
	Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary). More...

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete. More...

Private Types
typedef ROOT::Math::IBaseFunctionOneDim *	KernelFunction_Ptr

Private Member Functions
	TKDE (TKDE &kde)

TKDE	operator= (TKDE &kde)

void	Instantiate (KernelFunction_Ptr kernfunc, UInt_t events, const Double_t data, const Double_t weight, Double_t xMin, Double_t xMax, const Option_t *option, Double_t rho)

Double_t	GaussianKernel (Double_t x) const

Double_t	EpanechnikovKernel (Double_t x) const

Double_t	BiweightKernel (Double_t x) const

Double_t	CosineArchKernel (Double_t x) const

Double_t	UpperConfidenceInterval (const Double_t x, const Double_t p) const

Double_t	LowerConfidenceInterval (const Double_t x, const Double_t p) const

Double_t	ApproximateBias (const Double_t x, const Double_t ) const

Double_t	ComputeKernelL2Norm () const

Double_t	ComputeKernelSigma2 () const

Double_t	ComputeKernelMu () const

Double_t	ComputeKernelIntegral () const

Double_t	ComputeMidspread ()

void	ComputeDataStats ()

UInt_t	Index (Double_t x) const

void	SetBinCentreData (Double_t xmin, Double_t xmax)

void	SetBinCountData ()

void	CheckKernelValidity ()

void	SetUserCanonicalBandwidth ()

void	SetUserKernelSigma2 ()

void	SetCanonicalBandwidths ()

void	SetKernelSigmas2 ()

void	SetHistogram ()

void	SetUseBins ()

void	SetMirror ()

void	SetMean ()

void	SetSigma (Double_t R)

void	SetKernel ()

void	SetKernelFunction (KernelFunction_Ptr kernfunc=0)

void	SetOptions (const Option_t *option, Double_t rho)

void	CheckOptions (Bool_t isUserDefinedKernel=kFALSE)

void	GetOptions (std::string optionType, std::string option)

void	AssureOptions ()

void	SetData (const Double_t data, const Double_t weights)

void	InitFromNewData ()

void	SetMirroredEvents ()

void	SetDrawOptions (const Option_t *option, TString &plotOpt, TString &drawOpt)

void	DrawErrors (TString &drawOpt)

void	DrawConfidenceInterval (TString &drawOpt, double cl=0.95)

TF1 *	GetKDEFunction (UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0)

TF1 *	GetKDEApproximateBias (UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0)

TF1 *	GetPDFUpperConfidenceInterval (Double_t confidenceLevel=0.95, UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0)

TF1 *	GetPDFLowerConfidenceInterval (Double_t confidenceLevel=0.95, UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0)

Private Attributes
KernelFunction_Ptr	fKernelFunction

TKernel *	fKernel

std::vector< Double_t >	fData

std::vector< Double_t >	fEvents

std::vector< Double_t >	fEventWeights

TF1 *	fPDF

TF1 *	fUpperPDF

TF1 *	fLowerPDF

TF1 *	fApproximateBias

TGraphErrors *	fGraph

EKernelType	fKernelType

EIteration	fIteration

EMirror	fMirror

EBinning	fBinning

Bool_t	fUseMirroring

Bool_t	fMirrorLeft

Bool_t	fMirrorRight

Bool_t	fAsymLeft

Bool_t	fAsymRight

Bool_t	fUseBins

Bool_t	fNewData

Bool_t	fUseMinMaxFromData

UInt_t	fNBins

UInt_t	fNEvents

Double_t	fSumOfCounts

UInt_t	fUseBinsNEvents

Double_t	fMean

Double_t	fSigma

Double_t	fSigmaRob

Double_t	fXMin

Double_t	fXMax

Double_t	fRho

Double_t	fAdaptiveBandwidthFactor

Double_t	fWeightSize

std::vector< Double_t >	fCanonicalBandwidths

std::vector< Double_t >	fKernelSigmas2

std::vector< Double_t >	fBinCount

std::vector< Bool_t >	fSettedOptions

Friends
class	TKernel

struct	KernelIntegrand

Additional Inherited Members
Static Public Member Functions inherited from TObject
static Long_t	GetDtorOnly ()
	Return destructor only flag. More...

static void	SetDtorOnly (void *obj)
	Set destructor only flag. More...

static Bool_t	GetObjectStat ()
	Get status of object stat flag. More...

static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable. More...

Protected Member Functions inherited from TObject
void	MakeZombie ()

virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected). More...

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

#include <TKDE.h>

Inheritance diagram for TKDE:

Collaboration diagram for TKDE:

Member Typedef Documentation

typedef ROOT::Math::IBaseFunctionOneDim* TKDE::KernelFunction_Ptr

private

Definition at line 140 of file TKDE.h.

Member Enumeration Documentation

enum TKDE::EBinning

Enumerator
kUnbinned
kRelaxedBinning
kForcedBinning

Definition at line 66 of file TKDE.h.

enum TKDE::EIteration

Enumerator
kAdaptive
kFixed

Definition at line 49 of file TKDE.h.

enum TKDE::EKernelType

Enumerator
kGaussian
kEpanechnikov
kBiweight
kCosineArch
kUserDefined
kTotalKernels

Definition at line 40 of file TKDE.h.

enum TKDE::EMirror

Enumerator
kNoMirror
kMirrorLeft
kMirrorRight
kMirrorBoth
kMirrorAsymLeft
kMirrorAsymLeftRight
kMirrorAsymRight
kMirrorLeftAsymRight
kMirrorAsymBoth

Definition at line 54 of file TKDE.h.

Constructor & Destructor Documentation

TKDE::TKDE	(	UInt_t	events = `0`,
		const Double_t *	data = `0`,
		Double_t	xMin = `0.0`,
		Double_t	xMax = `0.0`,
		const Option_t *	option = `"KernelType:Gaussian;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning"`,
		Double_t	rho = `1.0`
	)

inlineexplicit

Definition at line 72 of file TKDE.h.

TKDE::TKDE	(	UInt_t	events,
		const Double_t *	data,
		const Double_t *	dataWeight,
		Double_t	xMin = `0.0`,
		Double_t	xMax = `0.0`,
		const Option_t *	option = `"KernelType:Gaussian;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning"`,
		Double_t	rho = `1.0`
	)

inline

Definition at line 77 of file TKDE.h.

template<class KernelFunction >

TKDE::TKDE	(	const Char_t *	,
		const KernelFunction &	kernfunc,
		UInt_t	events,
		const Double_t *	data,
		Double_t	xMin = `0.0`,
		Double_t	xMax = `0.0`,
		const Option_t *	option = `"KernelType:UserDefined;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning"`,
		Double_t	rho = `1.0`
	)

inline

Definition at line 83 of file TKDE.h.

template<class KernelFunction >

TKDE::TKDE	(	const Char_t *	,
		const KernelFunction &	kernfunc,
		UInt_t	events,
		const Double_t *	data,
		const Double_t *	dataWeight,
		Double_t	xMin = `0.0`,
		Double_t	xMax = `0.0`,
		const Option_t *	option = `"KernelType:UserDefined;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning"`,
		Double_t	rho = `1.0`
	)

inline

Definition at line 87 of file TKDE.h.

TKDE::~TKDE ( )

virtual

Definition at line 105 of file TKDE.cxx.

TKDE::TKDE ( TKDE & kde )

private

Member Function Documentation

Double_t TKDE::ApproximateBias	(	const Double_t *	x,
		const Double_t *
	)		const

inlineprivate

Definition at line 214 of file TKDE.h.

Referenced by GetKDEApproximateBias().

void TKDE::AssureOptions ( )

private

Definition at line 290 of file TKDE.cxx.

Referenced by SetOptions().

Double_t TKDE::BiweightKernel ( Double_t x ) const

inlineprivate

Definition at line 204 of file TKDE.h.

Referenced by SetKernelFunction().

void TKDE::CheckKernelValidity ( )

private

Definition at line 996 of file TKDE.cxx.

Referenced by SetKernelFunction().

void TKDE::CheckOptions ( Bool_t isUserDefinedKernel = kFALSE )

private

Definition at line 306 of file TKDE.cxx.

Referenced by Instantiate(), SetBinning(), SetIteration(), SetKernelType(), SetMirror(), and SetTuneFactor().

void TKDE::ComputeDataStats ( )

private

Definition at line 1056 of file TKDE.cxx.

Referenced by InitFromNewData(), and SetData().

Double_t TKDE::ComputeKernelIntegral ( ) const

private

Definition at line 1047 of file TKDE.cxx.

Referenced by CheckKernelValidity().

Double_t TKDE::ComputeKernelL2Norm ( ) const

private

Definition at line 1020 of file TKDE.cxx.

Referenced by GetError(), and SetUserCanonicalBandwidth().

Double_t TKDE::ComputeKernelMu ( ) const

private

Definition at line 1038 of file TKDE.cxx.

Referenced by CheckKernelValidity().

Double_t TKDE::ComputeKernelSigma2 ( ) const

private

Definition at line 1029 of file TKDE.cxx.

Referenced by CheckKernelValidity(), SetUserCanonicalBandwidth(), and SetUserKernelSigma2().

Double_t TKDE::ComputeMidspread ( )

private

Definition at line 1085 of file TKDE.cxx.

Referenced by ComputeDataStats().

Double_t TKDE::CosineArchKernel ( Double_t x ) const

inlineprivate

Definition at line 208 of file TKDE.h.

Referenced by SetKernelFunction().

void TKDE::Draw ( const Option_t * option = "" )

virtual

Definition at line 777 of file TKDE.cxx.

void TKDE::DrawConfidenceInterval	(	TString &	drawOpt,
		double	cl = `0.95`
	)

private

Definition at line 859 of file TKDE.cxx.

Referenced by Draw().

void TKDE::DrawErrors ( TString & drawOpt )

private

Definition at line 828 of file TKDE.cxx.

Referenced by Draw().

Double_t TKDE::EpanechnikovKernel ( Double_t x ) const

inlineprivate

Definition at line 201 of file TKDE.h.

Referenced by SetKernelFunction().

void TKDE::Fill ( Double_t data )

Definition at line 641 of file TKDE.cxx.

void TKDE::Fill	(	Double_t	data,
		Double_t	weight
	)

Definition at line 652 of file TKDE.cxx.

Double_t TKDE::GaussianKernel ( Double_t x ) const

inlineprivate

Definition at line 196 of file TKDE.h.

Referenced by SetKernelFunction().

const Double_t * TKDE::GetAdaptiveWeights ( ) const

Definition at line 885 of file TKDE.cxx.

TF1 * TKDE::GetApproximateBias	(	UInt_t	npx = `100`,
		Double_t	xMin = `1.0`,
		Double_t	xMax = `0.0`
	)

Definition at line 636 of file TKDE.cxx.

Double_t TKDE::GetBias ( Double_t x ) const

Definition at line 978 of file TKDE.cxx.

Referenced by ApproximateBias().

TF1* TKDE::GetDrawnFunction ( )

inline

Definition at line 127 of file TKDE.h.

TGraphErrors* TKDE::GetDrawnGraph ( )

inline

Definition at line 130 of file TKDE.h.

TF1* TKDE::GetDrawnLowerFunction ( )

inline

Definition at line 129 of file TKDE.h.

TF1* TKDE::GetDrawnUpperFunction ( )

inline

Definition at line 128 of file TKDE.h.

Double_t TKDE::GetError ( Double_t x ) const

Definition at line 987 of file TKDE.cxx.

Referenced by GetGraphWithErrors(), LowerConfidenceInterval(), and UpperConfidenceInterval().

Double_t TKDE::GetFixedWeight ( ) const

Definition at line 874 of file TKDE.cxx.

TF1 * TKDE::GetFunction	(	UInt_t	npx = `100`,
		Double_t	xMin = `1.0`,
		Double_t	xMax = `0.0`
	)

Definition at line 617 of file TKDE.cxx.

TGraphErrors * TKDE::GetGraphWithErrors	(	UInt_t	npx = `100`,
		Double_t	xMin = `1.0`,
		Double_t	xMax = `0.0`
	)

Definition at line 835 of file TKDE.cxx.

Referenced by DrawErrors().

TF1 * TKDE::GetKDEApproximateBias	(	UInt_t	npx = `100`,
		Double_t	xMin = `1.0`,
		Double_t	xMax = `0.0`
	)

private

Definition at line 1164 of file TKDE.cxx.

Referenced by GetApproximateBias().

TF1 * TKDE::GetKDEFunction	(	UInt_t	npx = `100`,
		Double_t	xMin = `1.0`,
		Double_t	xMax = `0.0`
	)

private

Definition at line 1125 of file TKDE.cxx.

Referenced by Draw(), DrawConfidenceInterval(), and GetFunction().

TF1 * TKDE::GetLowerFunction	(	Double_t	confidenceLevel = `0.95`,
		UInt_t	npx = `100`,
		Double_t	xMin = `1.0`,
		Double_t	xMax = `0.0`
	)

Definition at line 631 of file TKDE.cxx.

Double_t TKDE::GetMean ( ) const

Definition at line 675 of file TKDE.cxx.

void TKDE::GetOptions	(	std::string	optionType,
		std::string	option
	)

private

Definition at line 223 of file TKDE.cxx.

Referenced by SetOptions().

TF1 * TKDE::GetPDFLowerConfidenceInterval	(	Double_t	confidenceLevel = `0.95`,
		UInt_t	npx = `100`,
		Double_t	xMin = `1.0`,
		Double_t	xMax = `0.0`
	)

private

Definition at line 1151 of file TKDE.cxx.

Referenced by DrawConfidenceInterval(), and GetLowerFunction().

TF1 * TKDE::GetPDFUpperConfidenceInterval	(	Double_t	confidenceLevel = `0.95`,
		UInt_t	npx = `100`,
		Double_t	xMin = `1.0`,
		Double_t	xMax = `0.0`
	)

private

Definition at line 1138 of file TKDE.cxx.

Referenced by DrawConfidenceInterval(), and GetUpperFunction().

Double_t TKDE::GetRAMISE ( ) const

Definition at line 687 of file TKDE.cxx.

Double_t TKDE::GetSigma ( ) const

Definition at line 681 of file TKDE.cxx.

TF1 * TKDE::GetUpperFunction	(	Double_t	confidenceLevel = `0.95`,
		UInt_t	npx = `100`,
		Double_t	xMin = `1.0`,
		Double_t	xMax = `0.0`
	)

Definition at line 626 of file TKDE.cxx.

Double_t TKDE::GetValue ( Double_t x ) const

inline

Definition at line 109 of file TKDE.h.

UInt_t TKDE::Index ( Double_t x ) const

private

Definition at line 944 of file TKDE.cxx.

Referenced by SetBinCountData().

void TKDE::InitFromNewData ( )

private

Definition at line 480 of file TKDE.cxx.

void TKDE::Instantiate	(	KernelFunction_Ptr	kernfunc,
		UInt_t	events,
		const Double_t *	data,
		const Double_t *	weight,
		Double_t	xMin,
		Double_t	xMax,
		const Option_t *	option,
		Double_t	rho
	)