Probabilities::ExpCDF Function

Overload List

#	Signature	Description
1	double ExpCDF(double x, double Mu);	Exponential cumulative distribution function (CDF).
2	void ExpCDF(TDenseMtxVec X, double* Mu, TDenseMtxVec *Res);	Exponential CDF (vectorized).

Overload 1: double ExpCDF(double x, double Mu);

Exponential cumulative distribution function (CDF).

#	Name	Type	Description
1	x	double	Function domain, real value >= 0.
2	Mu	double	Scale parameter (= the distribution mean), real value > 0.

Returns: the exponential cumulative distribution function (CDF) at x for scale (mean) Mu. Returns 0 when Mu <= 0 (NOT NAN).

Remarks:

Computes the exponential CDF

CDF(x|mu)=1/mu integral _0 ^x exp (-t/mu) dt = 1-exp (-x/mu)

The result is the probability that an observation falls in $[0,x]$ , lies in $[0,1]$ and is monotone non-decreasing. Domain: x >= 0, mu > 0. For mu <= 0 the result is 0 (not NAN).

See Also: Probabilities::ExpPDF, Probabilities::ExpCDFInv

Declared in Dew::Math::Units::Probabilities · Dew.Math/Units.Probabilities.h · Cross-compiler

Overload 2: void ExpCDF(TDenseMtxVec X, double Mu, TDenseMtxVec Res);

Exponential CDF (vectorized).

#	Name	Type	Description
1	X	TDenseMtxVec *	Defines distribution domain, real vector or matrix with positive values or zero.
2	Mu	double	Defines distribution rate parameter. Mu must be a positive scalar.
3	Res	TDenseMtxVec *	After calculation stores the CDF calculated from X and Mu. Length and Complex properties of Res are adjusted automatically to match Length and Complex properties of X.

Declared in Dew::Math::Units::Probabilities · Dew.Math/Units.Probabilities.h · Cross-compiler

Overload List

Overload 1: double ExpCDF(double x, double Mu);

Overload 2: void ExpCDF(TDenseMtxVec *X, double Mu, TDenseMtxVec *Res);

Overload 2: void ExpCDF(TDenseMtxVec X, double Mu, TDenseMtxVec Res);