Probabilities.MaxwellCDFInv Method

Overload List

#SignatureDescription
1void MaxwellCDFInv(TDenseMtxVec P, Double a, TDenseMtxVec Res)Negative binomial distribution PPF (vectorized).
2Double MaxwellCDFInv(Double p, Double a)Maxwell distribution point percent function (PPF).

Overload 1: void MaxwellCDFInv(TDenseMtxVec P, Double a, TDenseMtxVec Res)

Negative binomial distribution PPF (vectorized).

#NameDescription
1PDefines distribution probabilities, real vector or matrix with values within closed interval [0,1].
2aDistribution parameter, positive real value.
3ResAfter calculation stores the PPF calculated from P and a. 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: Double MaxwellCDFInv(Double p, Double a)

Maxwell distribution point percent function (PPF).

#NameDescription
1pProbability, real value on closed interval [0,1].
2aDistribution parameter, positive real value.

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

Remarks:

The inverse Maxwell cumulative distribution function (quantile, standard scale a) is

CDF^(-1)(p| a)=a sqrt(2 G^(-1)(p;3/2))

where G^{-1}(p; 3/2) is the inverse of the lower regularized gamma function with shape 3/2. It is the solution x of MaxwellCDF(x | a) = p. Domain: probability p in [0,1], scale a > 0. For p < 0, p > 1, or a <= 0 the result is NAN.

See Also: Probabilities.MaxwellPDF, Probabilities.MaxwellCDF