Probabilities::PowerCDF Function

Overload List

#SignatureDescription
1double PowerCDF(double x, double alpha, double beta);Power distribution cumulative distribution function (CDF).
2void PowerCDF(TDenseMtxVec *X, double alpha, double beta, TDenseMtxVec *Res);Power distribution CDF (vectorized).

Overload 1: double PowerCDF(double x, double alpha, double beta);

Power distribution cumulative distribution function (CDF).

#NameTypeDescription
1xdoubleFunction domain, real value on closed interval [0, 1/beta].
2alphadoubleDistribution shape parameter, real positive value.
3betadoubleDistribution scale parameter, positive real value.

Returns: Power distribution CDF, evaluated at x using parameters alpha and beta. alpha and beta must be positive and 0 <= x <= 1/beta, otherwise the result is NAN.

Remarks:

The power-function distribution cumulative distribution function is

CDF(x| alpha,beta)=(beta x)^(alpha), 0 <= x <= 1/beta

Domain: 0 <= x <= 1/beta, alpha > 0, beta > 0; the result rises monotonically from 0 (at x = 0) to 1 (at x = 1/beta). Outside this range (or for non-positive alpha or beta) the result is NAN.

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

Overload 2: void PowerCDF(TDenseMtxVec *X, double alpha, double beta, TDenseMtxVec *Res);

Power distribution CDF (vectorized).

#NameTypeDescription
1XTDenseMtxVec *Distribution domain, positive real values on closed interval [0,1/beta].
2alphadoubleDistribution shape parameter, real positive value..
3betadoubleDistribution scale parameter, positive real number.
4ResTDenseMtxVec *After calculation stores the CDF calculated from X, alpha and beta. 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