Probabilities.GeometricCDF Method

Overload List

#SignatureDescription
1procedure GeometricCDF(const X: TMtxVecInt; p: Double; const Res: TDenseMtxVec);Geometric distribution CDF (vectorized).
2function GeometricCDF(x: Integer; p: Double): Double;Geometric cumulative distribution function (CDF).

Overload 1: procedure GeometricCDF(const X: TMtxVecInt; p: Double; const Res: TDenseMtxVec);

Geometric distribution CDF (vectorized).

#NameDescription
1XDefines distribution domain, real vector or matrix with positive integers.
2pDefines success probability. p must lie on the [0,1] closed interval.
3ResAfter calculation stores the CDF calculated from X and p. Length and Complex properties of Res are adjusted automatically to match Length and Complex properties of X.

Result: stored in self (calling object)

Overload 2: function GeometricCDF(x: Integer; p: Double): Double;

Geometric cumulative distribution function (CDF).

#NameDescription
1xFunction domain, non-negative integer.
2pSuccess probability
3valid on the half-open interval (0,1].

Returns: Double - the geometric cumulative distribution function (CDF) for value x using parameter p. Returns NAN when x<0 or p is outside (0,1].

Remarks:

Computes the geometric CDF P(X <= x) in the failures parameterization:

CDF(x| p)=1-(1-p)^( x+1), x=0,1,2,...

Domain: x >= 0, p in (0,1]. For x<0, p <= 0 or p>1 the result is NaN.

See Also: Probabilities.GeometricPDF, Probabilities.GeometricCDFInv