aoi_lst_erlang.h File Reference

Laplace-Stieltjes transform of an Erlang-k distribution. More...

#include "line/api/aoi/aoi_types.h"
#include "line/num/number.h"
#include "line/util/error.h"

Include dependency graph for aoi_lst_erlang.h:

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Namespaces
namespace	line
namespace	line::aoi

Functions
template<class T>
Lst< T >	line::aoi::aoi_lst_erlang (unsigned k, const T &mu)
	Laplace-Stieltjes transform of an Erlang-k distribution.

Detailed Description

Laplace-Stieltjes transform of an Erlang-k distribution.

Templated port of matlab/src/api/aoi/aoi_lst_erlang.m, cross-checked against Aoi_lst.erlang in jar/src/main/java/jline/api/aoi/Aoi_lst.java (identical).

H*(s) = (mu / (mu + s))^k, mean k/mu

The exponent is an integer, so this stays a rational function of s and is exact in the field.

Definition in file aoi_lst_erlang.h.