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On the distribution of integer random variables related by two linear inequalities: I

✍ Scribed by V. P. Maslov; V. E. Nazaikinskii

Book ID: 110149318
Publisher: SP MAIK Nauka/Interperiodica
Year: 2008
Tongue: English
Weight: 725 KB
Volume: 83
Category: Article
ISSN: 0001-4346
DOI: 10.1134/s0001434608030255

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## 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,