Overload List
| # | Signature | Description |
|---|---|---|
| 1 | procedure CauchyCDF(const X: TDenseMtxVec; m: Double; b: Double; const Res: TDenseMtxVec); | Cauchy CDF (vectorized). |
| 2 | function CauchyCDF(x: Double; m: Double; b: Double): Double; | Cauchy cumulative distribution function (CDF). |
Overload 1: procedure CauchyCDF(const X: TDenseMtxVec; m: Double; b: Double; const Res: TDenseMtxVec);
Cauchy CDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Defines distribution domain, real vector or matrix. |
| 2 | m | Location parameter, real value. |
| 3 | b | Shape parameter, real positive value. |
| 4 | Res | After calculation stores the CDF 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 CauchyCDF(x: Double; m: Double; b: Double): Double;
Cauchy cumulative distribution function (CDF).
| # | Name | Description |
|---|---|---|
| 1 | x | Function domain, real value. |
| 2 | m | Location parameter, real value. |
| 3 | b | Shape (scale) parameter, real positive value. |
Returns: Double - the Cauchy cumulative distribution function (CDF). Parameter b must be positive, otherwise the result is NAN.
Remarks:
The Cauchy cumulative distribution function is
CDF(x| m,b)=1/2+1/piarctan((x-m)/b)
Domain: x is any real value, m any real value, scale b > 0. The result lies in the open interval (0,1) and increases monotonically. For b <= 0 the result is NAN.