Overload List
| # | Signature | Description |
|---|---|---|
| 1 | procedure ErlangPDF(const X: TDenseMtxVec; k: Integer; Lambda: Double; const Res: TDenseMtxVec); | Erlang PDF (vectorized). |
| 2 | function ErlangPDF(x: Double; k: Integer; Lambda: Double): Double; | Erlang probability density function (PDF). |
Overload 1: procedure ErlangPDF(const X: TDenseMtxVec; k: Integer; Lambda: Double; const Res: TDenseMtxVec);
Erlang PDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Defines distribution domain, real vector or matrix with positive values or zero. |
| 2 | k | Defines distribution shape parameter. k must be a positive integer. |
| 3 | Lambda | Defines distribution rate parameter. Lambda must be a positive value. |
| 4 | Res | After calculation stores the PDF calculated from X, k and Lambda. 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 ErlangPDF(x: Double; k: Integer; Lambda: Double): Double;
Erlang probability density function (PDF).
| # | Name | Description |
|---|---|---|
| 1 | x | Function domain, real value >= 0. |
| 2 | k | Shape parameter, integer > 0. |
| 3 | Lambda | Rate parameter, real value > 0. |
Returns: Double - the Erlang probability density function (PDF) at x for integer shape k and rate Lambda. Returns NAN when k <= 0 or Lambda <= 0.
Remarks:
Computes the Erlang PDF
PDF(x| k,lambda )= (lambda ^k x^(k-1))/((k-1)!)* e^(-lambda x)
where k is an integer shape and lambda (Lambda) the rate. The Erlang distribution is the special case of the Probabilities.GammaPDF distribution with integer shape k and scale 1/lambda; for k=1 it reduces to the Probabilities.ExpPDF distribution. Domain: x >= 0, integer k > 0, lambda > 0. If k <= 0 or lambda <= 0 the result is NAN. A scalar form (this one) and a vectorized TDenseMtxVec overload are provided.