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:: Volume 23, Issue 1 (9-2018) ::
Andishe 2018, 23(1): 65-77 Back to browse issues page
Generalizations of Borel-Cantelli Lemma
Mohsen Khosravi , Maryam Khajehhassani *
Abstract:   (2731 Views)
The Borel-Cantelli Lemma is very important in the probability theory‎. ‎In this paper‎, ‎we first describe the general case of the Borel-Cantelli Lemma‎. ‎The first part of this lemma‎, ‎assuming convergence and the second part includes divergence and independence assumptions‎. ‎In the following‎, ‎we have brought generalizations of the first and second part of this lemma‎. ‎In most generalizations of part $amalg$‎, ‎the condition of independence‎, ‎pairwise independence‎, ‎weakening and elimination of the condition of independence have been investigated‎.
Keywords: Convergence‎, Independence‎, Pairwaise Independence‎.
Full-Text [PDF 276 kb]   (1688 Downloads)    
Type of Study: Research | Subject: Special
Received: 2017/08/2 | Accepted: 2018/12/14 | Published: 2018/12/25
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Khosravi M, Khajehhassani M. Generalizations of Borel-Cantelli Lemma. Andishe 2018; 23 (1) :65-77
URL: http://andisheyeamari.irstat.ir/article-1-493-en.html


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Volume 23, Issue 1 (9-2018) Back to browse issues page
مجله اندیشه آماری Andishe _ye Amari
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