Some strong deviation theorems for arrays of arbitrarily dependent stochastic sequence

Fang-qing Ding, Jing Song and Zhong-zhi Wang

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 20, 4692-4702

Abstract: In this article, the notion of sample divergence rate of array of stochastic sequences, as a measure of dissimilarity between their joint distributions and the product of their marginals, is introduced. By means of truncation method, under some suitable restrict Chung-Teicher type conditions, some strong deviation theorems for array of arbitrarily dependent stochastic sequence are obtained.

Date: 2021
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DOI: 10.1080/03610926.2020.1722843

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