Overload List
| # | Signature | Description |
|---|---|---|
| 1 | procedure ChiSquarePDF(const X: TDenseMtxVec; Nu: Integer; const Res: TDenseMtxVec); | Chi-Squared PDF (vectorized). |
| 2 | function ChiSquarePDF(x: Double; Nu: Integer): Double; | Chi-squared probability density function (PDF). |
Overload 1: procedure ChiSquarePDF(const X: TDenseMtxVec; Nu: Integer; const Res: TDenseMtxVec);
Chi-Squared PDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Defines distribution domain, real vector or matrix with positive values. |
| 2 | Nu | Defines distribution degrees of freedom. Nu must be a positive integer value. |
| 3 | Res | After calculation stores the PDF calculated from X, m and b. 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 ChiSquarePDF(x: Double; Nu: Integer): Double;
Chi-squared probability density function (PDF).
| # | Name | Description |
|---|---|---|
| 1 | x | Function domain, real value >= 0. |
| 2 | Nu | Degrees of freedom, integer > 0. |
Returns: Double - the chi-squared probability density function (PDF) at x with Nu degrees of freedom. Returns NAN when Nu <= 0.
Remarks:
Computes the chi-squared PDF
PDF(x|nu)=(x^((nu-2)/2)* exp(-x/2))/(2^(nu/2)*Gamma (nu /2))
where nu (Nu) is the degrees of freedom and Gamma is the Math387.Gamma function. The chi-squared distribution is the special case of the Probabilities.GammaPDF distribution with shape nu/2 and scale 2 (the implementation computes it as GammaPDF(x, Nu/2, 2)). Domain: x >= 0, integer nu > 0. If nu <= 0 the result is NAN. A scalar form (this one) and a vectorized TDenseMtxVec overload are provided.