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1997 A CLASS OF SMALL DEVIATION THEOREMS FOR THE SEQUENCES OF NONNEGATIVE INTEGER-VALUED RANDOM VARIABLES
Liu Wen
Taiwanese J. Math. 1(3): 291-302 (1997). DOI: 10.11650/twjm/1500405685

Abstract

In virtue of the notion of likelihood ratio the limit properties of the sequences of dependent nonnegative integer-valued random variables are studied, and a class of small deviation theorems are obtained. In the proof an approach of applying the tool of generating function together with the method of splitting intervals to the study of the strong laws is proposed.

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Liu Wen. "A CLASS OF SMALL DEVIATION THEOREMS FOR THE SEQUENCES OF NONNEGATIVE INTEGER-VALUED RANDOM VARIABLES." Taiwanese J. Math. 1 (3) 291 - 302, 1997. https://doi.org/10.11650/twjm/1500405685

Information

Published: 1997
First available in Project Euclid: 18 July 2017

zbMATH: 0891.60040
MathSciNet: MR1465931
Digital Object Identifier: 10.11650/twjm/1500405685

Subjects:
Primary: 60F15 , 60F99

Keywords: generating function , likelihood ratio , nonnegative integer-valued random variable , small deviation theorem , strong limit theorem

Rights: Copyright © 1997 The Mathematical Society of the Republic of China

Vol.1 • No. 3 • 1997
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