Probabilities::LogisticCDF Function

Overload List

#SignatureDescription
1double LogisticCDF(double x, double m, double b);Logistic cumulative distribution function (CDF).
2void LogisticCDF(TDenseMtxVec *X, double m, double b, TDenseMtxVec *Res);Logistic CDF (vectorized).

Overload 1: double LogisticCDF(double x, double m, double b);

Logistic cumulative distribution function (CDF).

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

Returns: the logistic cumulative distribution function (CDF) for value x using the parameters m and b. For b <= 0 the result is NAN.

Remarks:

The result of LogisticCDF is the probability that a single observation from a logistic distribution with parameters m and b falls in the interval (-infinity, x]:

CDF(x| m,b)=1/(1+exp(-(x-m)/b))

Domain: x any real value, m any real value, scale b > 0; the result rises monotonically from 0 to 1. For b <= 0 the result is NAN.

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

Overload 2: void LogisticCDF(TDenseMtxVec *X, double m, double b, TDenseMtxVec *Res);

Logistic CDF (vectorized).

#NameTypeDescription
1XTDenseMtxVec *Defines distribution domain, real vector or matrix.
2mdoubleDistribution location parameter, real value.
3bdoubleDistribution scale parameter, real positive value.
4ResTDenseMtxVec *After calculation stores the CDF calculated from X, m 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