On conditional Borel-Cantelli lemmas for sequences of random variables
type: Item
instance of: scholarly article
title: On conditional Borel-Cantelli lemmas for sequences of random variables
zbMATH Open document ID: 1263.60030
author: Jicheng Liu
author: B. L. S. Prakasa Rao
published in: Journal of Mathematical Analysis and Applications
publication date: 2013-01-14T00:00:00Z
review text: Conditional Borel-Cantelli lemmas were proved by \textit{D. Majerak, W. Nowak} and \textit{W. Zięba} [Int. J. Pure Appl. Math. 20, No. 2, 143--157 (2005; Zbl 1073.60034)] and \textit{B. L. S. Prakasa Rao} [Ann. Inst. Stat. Math. 61, No. 2, 441--460 (2009; Zbl 1314.60054)]. More general versions of the conditional Borel-Cantelli lemmas were given here extending the work of \textit{C. Feng, L. Li} and \textit{J. Shen} [C. R., Math., Acad. Sci. Paris 347, No. 21--22, 1313--1316 (2009; Zbl 1178.60005)] on the weighted Borel-Cantelli lemma and the bilateral inequality of \textit{E. Pancheva, I. K. Mitov} and \textit{K. V. Mitov} [Stat. Probab. Lett. 79, No. 3, 390--395 (2009; Zbl 1158.60019)].
Mathematics Subject Classification ID: 60F99
zbMATH DE Number: 6125374
zbMATH Keywords: conditional Borel-Cantelli lemma
zbMATH Keywords: weighted Borel-Cantelli lemma
reviewed by: B. L. S. Prakasa Rao
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.10.001
OpenAlex ID: W2067677716
Wikidata QID: Q124851469
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DOI: 10.1016/J.JMAA.2012.10.001
description: scientific article; zbMATH DE number 6125374