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A Limit Theorem for Random Sums of Dependent Indicators and Its Applications in the Theory of Branching Processes

โœ Scribed by Rakhimov, I.

Book ID
118221493
Publisher
Society for Industrial and Applied Mathematics
Year
1988
Tongue
English
Weight
702 KB
Volume
32
Category
Article
ISSN
0040-585X

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A limit theorem for partial sums of rand
A limit theorem for partial sums of random variables and its applications
โœ Wen Liu; Jia-an Yan; Weiguo Yang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 131 KB

In this paper, we establish a new limit theorem for partial sums of random variables. As corollaries, we generalize the extended Borel-Cantelli lemma, and obtain some strong laws of large numbers for Markov chains as well as a generalized strong ergodic theorem for irreducible and positive recurrent