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General limit theorems for sums of controlled random variables with arbitrary state space of the controlling sequence

โœ Scribed by E. Kaplan; D. Silvestrov


Publisher
Springer
Year
1981
Tongue
English
Weight
441 KB
Volume
20
Category
Article
ISSN
0363-1672

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โœ Wen Liu; Weiguo Yang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 241 KB

In this paper, the strong limit theorems for arbitrary stochastic sequences are studied. Some convergence theorems for martingale di erence sequence and a class of strong limit theorem for countable nonhomogeneous Markov chains are the particular cases of the results of this paper. Finally, the stro