Overload List
| # | Signature | Description |
|---|---|---|
| 1 | void ParetoCDF(TDenseMtxVec X, Double a, Double b, TDenseMtxVec Res) | Pareto distribution CDF (vectorized). |
| 2 | Double ParetoCDF(Double x, Double a, Double b) | Pareto cumulative distribution function (CDF). |
Overload 1: void ParetoCDF(TDenseMtxVec X, Double a, Double b, TDenseMtxVec Res)
Pareto distribution CDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Defines distribution domain, real vector or matrix. |
| 2 | a | Distribution scale parameter, real positive value. |
| 3 | b | Distribution shape parameter, real positive value, smaller than x. |
| 4 | Res | After calculation stores the CDF calculated from X, a 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: Double ParetoCDF(Double x, Double a, Double b)
Pareto cumulative distribution function (CDF).
| # | Name | Description |
|---|---|---|
| 1 | x | Function domain, real value >= b. |
| 2 | a | Distribution shape parameter, real positive value. |
| 3 | b | Distribution scale parameter (lower bound of the support), real positive value. |
Returns: Double - the Pareto cumulative distribution function (CDF) for value x using the parameters a and b. x must be >= b, otherwise the result is NAN.
Remarks:
The Pareto cumulative distribution function is
CDF(x| a,b)=1-(b/x)^a, x >= b
Domain: x >= b, a > 0, b > 0; the result rises monotonically from 0 (at x = b) to 1. For x < b the result is NAN.