Moment Characteristics of the Compound Poisson Law Generalized by the Poisson Distribution

被引：0

作者：

A. G. Belov

V. Ya. Galkin

机构：

来源：

Computational Mathematics and Modeling | 2004年 / 15卷 / 4期

关键词：

Mathematical Modeling; Inverse Problem; Computational Mathematic; Industrial Mathematic; Poisson Distribution;

D O I：

10.1023/B:COMI.0000047349.51934.53

中图分类号：

学科分类号：

摘要：

For a compound Poisson law generalized by a Poisson distribution we give explicit representations of the moment characteristics (ordinary and factorial cumulants, initial, factorial, binomial, and central moments), prove various recurrences in finite-difference and differential forms. It is applied for numerical construction of moment characteristics in direct and inverse problems solved by moment methods.

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页码：393 / 410

页数：17

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