Overload List
| # | Signature | Description |
|---|---|---|
| 1 | procedure FCDF(const X: TDenseMtxVec; Nu1: Integer; Nu2: Integer; const Res: TDenseMtxVec); | Fisher(F) CDF (vectorized). |
| 2 | function FCDF(x: Double; Nu1: Integer; Nu2: Integer): Double; | F (Fisher-Snedecor) cumulative distribution function (CDF). |
Overload 1: procedure FCDF(const X: TDenseMtxVec; Nu1: Integer; Nu2: Integer; const Res: TDenseMtxVec);
Fisher(F) CDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Defines distribution domain, real vector or matrix with positive real values or zeros. |
| 2 | Nu1 | Defines distribution degrees of freedom. Nu1 must be a positive integer. |
| 3 | Nu2 | Defines distribution degrees of freedom. Nu2 must be a positive integer. |
| 4 | Res | After calculation stores the CDF calculated from X, Nu1 and Nu2. 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 FCDF(x: Double; Nu1: Integer; Nu2: Integer): Double;
F (Fisher-Snedecor) cumulative distribution function (CDF).
| # | Name | Description |
|---|---|---|
| 1 | x | Distribution domain, real value >= 0. |
| 2 | Nu1 | Numerator degrees of freedom, integer > 0. |
| 3 | Nu2 | Denominator degrees of freedom, integer > 0. |
Returns: Double - the F cumulative distribution function (CDF) at x for degrees of freedom Nu1 and Nu2. Returns NAN when Nu1 <= 0, Nu2 <= 0 or x < 0.
Remarks:
Computes the F CDF via the regularized incomplete beta function. The implementation uses the identity
CDF(x|nu _1 , nu _2 )= 1 - I_(nu_2/(nu_2+nu_1 x))(nu_2/2,nu_1/2)
where I_z(a,b) is the regularized incomplete beta function. The result is the probability that an observation falls in , lies in and is monotone non-decreasing. Domain: x >= 0, integer nu_1,nu_2 > 0. If either parameter is <= 0 or x < 0 the result is NAN.
See Also: Probabilities.FPDF, Probabilities.FCDFInv