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On the Difference between the Distribution Functions of Two Random Sums of Independent Random Variables

✍ Scribed by A. Krajka; Z. Rychlik

Publisher: John Wiley and Sons
Year: 1987
Tongue: English
Weight: 207 KB
Volume: 134
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19871340123

No coin nor oath required. For personal study only.

✦ Synopsis

I. fntFoduction

Let {X,,, n 2 1) be a sequence of independent random variables, P, and f, the distribution function and the characteristic fundion of the X,, respectively. Let us put SN = 2 X,, where N is a pasitive integer-valued random variable independent of X,, ?t 2 1. Furthermore, let { P,,, w 2 1) be mother sequence of independent random variables independent of N and {X,, n 2 1). Assume M is a positive integer-valued

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