On the use of the Borel-Cantelli lemma in Markov chains

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• 作者：Alexei Stepanov ^{alexeistep45@mail.ru" class="auth_mail}
• 关键词：60F99 ; 60F15
• 刊名：Statistics and Probability Letters
• 出版年：July 2014
• 年：2014
• 卷：90
• 期：Complete
• 页码：149-154
• 全文大小：356 K

文摘

In the present paper, we propose technical generalizations of the Borel–Cantelli lemma. These generalizations can be further used to derive strong limit results for Markov chains. In our work, we obtain some strong limit results.