Probabilities.LogisticCDFInv Method

Overload List

#SignatureDescription
1procedure LogisticCDFInv(const P: TDenseMtxVec; m: Double; b: Double; const Res: TDenseMtxVec);Logistic distribution PPF (vectorized).
2function LogisticCDFInv(p: Double; m: Double; b: Double): Double;Logistic distribution point percent function (PPF).

Overload 1: procedure LogisticCDFInv(const P: TDenseMtxVec; m: Double; b: Double; const Res: TDenseMtxVec);

Logistic distribution PPF (vectorized).

#NameDescription
1PDefines distribution probabilities, real vector or matrix with values within closed interval [0,1].
2mDistribution location parameter, real value.
3bDistribution scale parameter, real positive value.
4ResAfter calculation stores the PPF calculated from P, m and b. Length and Complex properties of Res are adjusted automatically to match Length and Complex properties of P.

Result: stored in self (calling object)

Overload 2: function LogisticCDFInv(p: Double; m: Double; b: Double): Double;

Logistic distribution point percent function (PPF).

#NameDescription
1pProbability, real value on closed interval [0,1].
2mDistribution location parameter, real value.
3bDistribution scale parameter, real positive value.

Returns: Double - the Logistic distribution point percent function (PPF) for probability p using the parameters m and b. For b <= 0 the result is NAN; for p = 0 the result is -INF and for p = 1 the result is +INF.

Remarks:

The inverse logistic cumulative distribution function (quantile) is

CDF^(-1)(p| m,b)=m-b ln(1/p-1)

Domain: probability p in [0,1], m any real value, scale b > 0. The boundary cases return p = 0 -> -INF and p = 1 -> +INF. For b <= 0 the result is NAN.

See Also: Probabilities.LogisticPDF, Probabilities.LogisticCDF