Overload List
| # | Signature | Description |
|---|---|---|
| 1 | procedure PowerCDF(const X: TDenseMtxVec; alpha: Double; beta: Double; const Res: TDenseMtxVec); | Power distribution CDF (vectorized). |
| 2 | function PowerCDF(x: Double; alpha: Double; beta: Double): Double; | Power distribution cumulative distribution function (CDF). |
Overload 1: procedure PowerCDF(const X: TDenseMtxVec; alpha: Double; beta: Double; const Res: TDenseMtxVec);
Power distribution CDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Distribution domain, positive real values on closed interval [0,1/beta]. |
| 2 | alpha | Distribution shape parameter, real positive value.. |
| 3 | beta | Distribution scale parameter, positive real number. |
| 4 | Res | 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. |
Result: stored in self (calling object)
Overload 2: function PowerCDF(x: Double; alpha: Double; beta: Double): Double;
Power distribution cumulative distribution function (CDF).
| # | Name | Description |
|---|---|---|
| 1 | x | Function domain, real value on closed interval [0, 1/beta]. |
| 2 | alpha | Distribution shape parameter, real positive value. |
| 3 | beta | Distribution 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