Overload List
| # | Signature | Description |
|---|---|---|
| 1 | procedure TriangularPDF(const X: TDenseMtxVec; a: Double; b: Double; c: Double; const Res: TDenseMtxVec); | Triangular distribution PDF (vectorized). |
| 2 | function TriangularPDF(x: Double; a: Double; b: Double; c: Double): Double; | Triangular probability density function (PDF). |
Overload 1: procedure TriangularPDF(const X: TDenseMtxVec; a: Double; b: Double; c: Double; const Res: TDenseMtxVec);
Triangular distribution PDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Distribution domain, real value on closed interval [a,b]. |
| 2 | a | Distribution locagtion parameter, real value, smaller than parameter b. |
| 3 | b | Distribution scale parameter, real value, greater than parameter a. |
| 4 | c | Distribution shape parameter, real value on closed interval [a,b]. |
| 5 | Res | After calculation stores the PDF calculated from X, a, b and c. 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 TriangularPDF(x: Double; a: Double; b: Double; c: Double): Double;
Triangular probability density function (PDF).
| # | Name | Description |
|---|---|---|
| 1 | x | Distribution domain, real value on closed interval [a,b]. |
| 2 | a | Lower bound, real value, smaller than b. |
| 3 | b | Upper bound, real value, greater than a. |
| 4 | c | Mode (peak), real value on closed interval [a,b]. |
Returns: Double - the Triangular probability density function for value x using parameters a, b and c. Requires b > a and a <= c <= b and a <= x <= b, otherwise the result is NAN.
Remarks:
The triangular probability density function is
PDF(x| a,b,c)={ (2(x-a))/((b-a)(c-a)), if amp; a <= x <= c
{ [6pt] (2(b-x))/((b-a)(b-c)), if amp; c
where a is the lower bound, b the upper bound and c the mode (peak). Domain: b > a, a <= c <= b, and a <= x <= b. Outside the support, or when the parameter ordering is violated, the result is NAN.