Probabilities.RayleighCDF Method

Overload List

#SignatureDescription
1procedure RayleighCDF(const X: TDenseMtxVec; b: Double; const Res: TDenseMtxVec);Rayleigh distribution CDF (vectorized).
2function RayleighCDF(x: Double; b: Double): Double;Rayleigh cumulative distribution function (CDF).

Overload 1: procedure RayleighCDF(const X: TDenseMtxVec; b: Double; const Res: TDenseMtxVec);

Rayleigh distribution CDF (vectorized).

#NameDescription
1XDistribution domain, positive real values or zeros.
2bDistribution parameter, positive real value.
3ResAfter calculation stores the CDF calculated from X and b. 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 RayleighCDF(x: Double; b: Double): Double;

Rayleigh cumulative distribution function (CDF).

#NameDescription
1xFunction domain, positive real value or zero.
2bDistribution scale parameter, positive real value.

Returns: Double - the Rayleigh cumulative distribution function (CDF) for value x using the parameter b. x >= 0 and b > 0 are required, otherwise the result is NAN.

Remarks:

The Rayleigh cumulative distribution function is

CDF(x| b)=1-exp(-x^2/2b^2), x >= 0

Domain: x >= 0 and scale b > 0; the result rises monotonically from 0 (at x = 0) to 1. For b <= 0 or x < 0 the result is NAN.

See Also: Probabilities.RayleighPDF, Probabilities.RayleighCDFInv