Probabilities.LogisticCDF Method

Overload List

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

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

Logistic CDF (vectorized).

#NameDescription
1XDefines distribution domain, real vector or matrix.
2mDistribution location parameter, real value.
3bDistribution scale parameter, real positive value.
4ResAfter 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.

Result: stored in self (calling object)

Overload 2: function LogisticCDF(x: Double; m: Double; b: Double): Double;

Logistic cumulative distribution function (CDF).

#NameDescription
1xFunction domain, real value.
2mDistribution location parameter, real value.
3bDistribution scale parameter, real positive value.

Returns: Double - 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