Probabilities::ParetoCDF Function

Probabilities Namespace

Overload List

#SignatureDescription
1double ParetoCDF(double x, double a, double b);Pareto cumulative distribution function (CDF).
2void ParetoCDF(TDenseMtxVec *X, double a, double b, TDenseMtxVec *Res);Pareto distribution CDF (vectorized).

Overload 1: double ParetoCDF(double x, double a, double b);

Pareto cumulative distribution function (CDF).

#NameTypeDescription
1xdoubleFunction domain, real value >= b.
2adoubleDistribution shape parameter, real positive value.
3bdoubleDistribution scale parameter (lower bound of the support), real positive value.

Returns: the Pareto cumulative distribution function (CDF) for value x using the parameters a and b. x must be >= b, otherwise the result is NAN.

Remarks:

The Pareto cumulative distribution function is

CDF(x| a,b)=1-(b/x)^a, x >= b

Domain: x >= b, a > 0, b > 0; the result rises monotonically from 0 (at x = b) to 1. For x < b the result is NAN.

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

Overload 2: void ParetoCDF(TDenseMtxVec *X, double a, double b, TDenseMtxVec *Res);

Pareto distribution CDF (vectorized).

#NameTypeDescription
1XTDenseMtxVec *Defines distribution domain, real vector or matrix.
2adoubleDistribution scale parameter, real positive value.
3bdoubleDistribution shape parameter, real positive value, smaller than x.
4ResTDenseMtxVec *After calculation stores the CDF calculated from X, a and b. Length and Complex properties of Res are adjusted automatically to match Length and Complex properties of X.
Declared in Dew::Math::Units::Probabilities · Dew.Math/Units.Probabilities.h · Cross-compiler