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Some limit theorems of delayed sums for rowwise conditionally independent stochastic arrays

Z.-Z. Wang

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 11, 5265-5272

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.

Date: 2017
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DOI: 10.1080/03610926.2015.1099674

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