Probabilities.PowerCDF Method

Overload List

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

Overload 1: void PowerCDF(TDenseMtxVec X, Double alpha, Double beta, TDenseMtxVec Res)

Power distribution CDF (vectorized).

#NameDescription
1XDistribution domain, positive real values on closed interval [0,1/beta].
2alphaDistribution shape parameter, real positive value..
3betaDistribution scale parameter, positive real number.
4ResAfter 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.

Result: stored in self (calling object)

Overload 2: Double PowerCDF(Double x, Double alpha, Double beta)

Power distribution cumulative distribution function (CDF).

#NameDescription
1xFunction domain, real value on closed interval [0, 1/beta].
2alphaDistribution shape parameter, real positive value.
3betaDistribution scale parameter, positive real value.

Returns: Double - 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