Probabilities.WeibullCDFInv Method

Overload List

#SignatureDescription
1procedure WeibullCDFInv(const P: TDenseMtxVec; A: Double; B: Double; const Res: TDenseMtxVec);Weibull distribution PPF (vectorized).
2function WeibullCDFInv(p: Double; a: Double; b: Double): Double;Weibull distribution point percent function (PPF).

Overload 1: procedure WeibullCDFInv(const P: TDenseMtxVec; A: Double; B: Double; const Res: TDenseMtxVec);

Weibull distribution PPF (vectorized).

#NameDescription
1PDefines distribution probabilities, real vector or matrix with values within closed interval [0,1].
2ADistribution scale parameter, real positive value.
3BDistribution shape parameter, real positive value.
4ResAfter calculation stores the PPF calculated from P, a 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 WeibullCDFInv(p: Double; a: Double; b: Double): Double;

Weibull distribution point percent function (PPF).

#NameDescription
1pProbability, real value on closed interval [0,1].
2aDistribution scale parameter, real positive value (rate-like).
3bDistribution shape parameter, real positive value.

Returns: Double - the Weibull distribution point percent function (PPF) for probability p using the parameters a and b. p must lie in [0,1] and a, b must be positive, otherwise the result is NAN.

Remarks:

The inverse Weibull cumulative distribution function (quantile) is

CDF^(-1)(p| a,b)=[1/aln1/(1-p)]^(1/b), 0 <= p lt; 1

Domain: probability p in [0,1], a > 0, b > 0. At p = 1 the result is +INF. For p < 0, p > 1, a <= 0, or b <= 0 the result is NAN.

See Also: Probabilities.WeibullPDF, Probabilities.WeibullCDF