Probabilities::WeibullCDF Function

Overload List

#SignatureDescription
1double WeibullCDF(double x, double a, double b);Weibull cumulative distribution function (CDF).
2void WeibullCDF(TDenseMtxVec *X, double A, double B, TDenseMtxVec *Res);Weibull distribution CDF (vectorized).

Overload 1: double WeibullCDF(double x, double a, double b);

Weibull cumulative distribution function (CDF).

#NameTypeDescription
1xdoubleFunction domain, zero or real positive value.
2adoubleDistribution scale parameter, real positive value (rate-like).
3bdoubleDistribution shape parameter, real positive value.

Returns: the Weibull cumulative distribution function for value x using the parameters a and b. x must be >= 0 and parameters a and b must be positive, otherwise the result is NAN.

Remarks:

The Weibull cumulative distribution function is

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

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

See Also: Probabilities::WeibullPDF, Probabilities::WeibullCDFInv
Declared in Dew::Math::Units::Probabilities · Dew.Math/Units.Probabilities.h · Cross-compiler

Overload 2: void WeibullCDF(TDenseMtxVec *X, double A, double B, TDenseMtxVec *Res);

Weibull distribution CDF (vectorized).

#NameTypeDescription
1XTDenseMtxVec *Defines distribution domain, real vector or matrix with positive real values.
2AdoubleDistribution scale parameter, real positive value.
3BdoubleDistribution shape parameter, real positive value.
4ResTDenseMtxVec *After calculation stores the CDF calculated from X, a and b. 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