Overload List
| # | Signature | Description |
|---|---|---|
| 1 | void StudentPDF(TDenseMtxVec X, Int32 Nu, TDenseMtxVec Res) | Student(T) distribution PDF (vectorized). |
| 2 | Double StudentPDF(Double x, Int32 Nu) | Student's t probability density function (PDF). |
Overload 1: void StudentPDF(TDenseMtxVec X, Int32 Nu, TDenseMtxVec Res)
Student(T) distribution PDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Distribution domain, real values. |
| 2 | Nu | Defines distribution degrees of freedom, positive integer. |
| 3 | Res | After calculation stores the PDF calculated from X and Nu. 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: Double StudentPDF(Double x, Int32 Nu)
Student's t probability density function (PDF).
| # | Name | Description |
|---|---|---|
| 1 | x | Function domain, any real value. |
| 2 | Nu | Degrees of freedom, integer >= 1. |
Returns: Double - the Student's t probability density function (PDF) at x with Nu degrees of freedom. Returns NAN when Nu < 1.
Remarks:
Computes the Student's t PDF
PDF(x|nu)= (Gamma ( (nu +1)/2))/(Gamma (nu/2)) 1/(sqrt(nu pi)) 1/((1+x^2/nu)^((nu +1)/2))
where nu (Nu) is the degrees of freedom and Gamma is the Dew.Math.Units.Math387.Gamma function. The density is symmetric about 0; as nu -> inf it approaches the standard normal density. Domain: x in R, integer nu >= 1. If nu < 1 the result is NAN. A scalar form (this one) and a vectorized Dew.Math.TDenseMtxVec overload are provided.