Probabilities::LogWeibullCDF Function

Overload List

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

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

Log-Weibull cumulative distribution function (CDF).

#NameTypeDescription
1xdoubleFunction domain, real value.
2adoubleDistribution location parameter, real value.
3bdoubleDistribution scale parameter, real positive value.

Returns: the log-Weibull cumulative distribution function (CDF) for value x using the parameters a and b. For b = 0 the result is NAN.

Remarks:

The log-Weibull cumulative distribution function is

CDF(x| a,b)=exp[-exp((a-x)/b)]

This equals the maximum Gumbel CDF with location a and scale b. Domain: x any real value, a any real value, scale b > 0; the result rises monotonically from 0 to 1. For b = 0 the result is NAN.

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

Overload 2: void LogWeibullCDF(TDenseMtxVec *X, double a, double b, TDenseMtxVec *Res);

Log-Weibull CDF (vectorized).

#NameTypeDescription
1XTDenseMtxVec *Defines distribution domain, real vector or matrix with real values.
2adoubleDistribution location parameter, real positive value.
3bdoubleDistribution scale 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