Limit Distributions of Random Sums of Z plus -Valued Random Variables

被引：2

作者：

Satheesh, S. ^{[1
]}

Sandhya, E. ^{[2
]}

Abraham, T. Lovely ^{[3
]}

机构：

[1] NEELOLPALAM, Trichur 680004, India

[2] Prajyoti Niketan Coll, Dept Stat, Trichur, India

[3] Erumalayil, Palakkad, India

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2010年 / 39卷 / 11期

关键词：

Geometric distribution; Geometric infinite divisibility; Harris distribution; Infinite divisibility; Laplace transform; Limit distributions; Probability generating function; Random infinite divisibility; Random-sum; Transfer theorem;

D O I：

10.1080/03610920902944086

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this article, we formulate a transfer theorem in terms of probability generating functions and discuss two approaches to limit distributions of random sums of Z+-valued random variables. We then develop Z+-valued N-ID and phi-ID laws.

引用

页码：1979 / 1984

页数：6

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