Expectation values for integer powers of a Poisson-distributed random number

被引：1

作者：

Henn, Julian ^{[1
]}

机构：

[1] Univ Bayreuth, Crystallog Lab, D-95440 Bayreuth, Germany

来源：

ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES | 2012年 / 68卷

关键词：

expectation values; hypergeometric function; negative integer powers; Poisson distribution;

D O I：

10.1107/S010876731203200X

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

It is shown that expectation values of Poisson-distributed random numbers exist not only for the well known positive integer powers but also for negative integer powers. A recursion formula for the calculation of expectation values of powers differing by one is given. This recursion formula helps to find an analytical representation for both positive and negative integer powers in terms of the hypergeometric function.

引用

页码：703 / 704

页数：2