Probabilities::ParetoCDFInv Function

Overload List

#SignatureDescription
1double ParetoCDFInv(double p, double a, double b);Pareto distribution point percent function (PPF).
2void ParetoCDFInv(TDenseMtxVec *P, double a, double b, TDenseMtxVec *Res);Pareto distribution PPF (vectorized).

Overload 1: double ParetoCDFInv(double p, double a, double b);

Pareto distribution point percent function (PPF).

#NameTypeDescription
1pdoubleProbability, real value on closed interval [0,1].
2adoubleDistribution shape parameter, real positive value.
3bdoubleDistribution scale parameter (lower bound of the support), real positive value.

Returns: the Pareto distribution point percent function (PPF) for probability p using the parameters a and b. p must lie in [0,1], otherwise the result is NAN; at p = 1 the result is +INF.

Remarks:

The inverse Pareto cumulative distribution function (quantile) is

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

It is the solution x of CDF(x | a,b) = p. Domain: probability p in [0,1], a > 0, b > 0. At p = 1 the result is +INF. For p < 0 or p > 1 the result is NAN.

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

Overload 2: void ParetoCDFInv(TDenseMtxVec *P, double a, double b, TDenseMtxVec *Res);

Pareto distribution PPF (vectorized).

#NameTypeDescription
1PTDenseMtxVec *Defines distribution probabilities, real vector or matrix with values within closed interval [0,1].
2adoubleDistribution scale parameter, real positive value.
3bdoubleDistribution shape parameter, real positive value, smaller than x.
4ResTDenseMtxVec *After 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.
Declared in Dew::Math::Units::Probabilities · Dew.Math/Units.Probabilities.h · Cross-compiler