Some limit theorems of delayed sums for rowwise conditionally independent stochastic arrays |
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Authors: | Z.-Z. Wang |
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Affiliation: | 1. School of Mathematics &2. Physics, AnHui University of Technology, Ma’anshan, People’s Republic of China |
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Abstract: | This paper is concerned with the asymptotic property of delayed sums for rowwise conditionally independent stochastic arrays. The main technique of the proofing is to construct non negative random variables with one parameter and to apply the Borel–Cantelli lemma to obtaining almost everywhere convergence. The relevant results for non homogeneous Markov chains indexed by a tree are extended. |
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Keywords: | Delayed sum rowwise conditionally independent strong limit theorem. |
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