Incomplete Gamma functions for evaluating Erlang process probabilities
Incomplete Gamma functions for evaluating Erlang process probabilities
复制标题
用于评估 Erlang 过程概率的不完整 Gamma 函数
DOI：
10.1090/s0025-5718-63-99188-9
复制
发表时间：
1963
影响因子：
2
通讯作者：
J. Whittlesey
中科院分区：
文献类型：
--
作者：
J. Whittlesey
当a为整数时。现在已经编写了单精度和双精度FORTRAN子例程来计算等于或大于零[3]、[4]的参数的所有实值的Ga(X)和Ha(X)。本文的目的是给出这些子程序的简要细节，并展示它们如何用于计算运筹学中两个重要分布的概率：即广义Poisson[5]，[61]和Morse-Jewell分布[7]，[8]，它们分别是Erlang过程的同步和异步计数分布，[9]。
when a is an integer. Single and double precision FORTRAN subroutines have now been written to evaluate Ga(x) and Ha(x) for all real values of the parameters equal to, or greater than zero [3], [4]. The purpose of this paper is to give brief details of these subroutines and to show how they can be used for evaluating the probabilities from two distributions of importance in Operations Research: namely, the generalized Poisson [5], [61, and the Morse-Jewell distribution [7], [8], which are respectively the synchronous and asynchronous counting distributions for an Erlang process, [9].