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The Borel-Cantelli Lemma

Part of the SpringerBriefs in Statistics Book Series (volume 2)

DOI: 10.1007/978-81-322-0677-4

ISBN: 978-81-322-0676-7

Publisher: Springer India - Springer Journals

Jul 4, 2012

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Chapter 1Introductory Chapter

Chandra, Tapas Kumar

Pages: 1 –49

[Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Omega $$\end{document} be...
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Chapter 2Extensions of the First BCL

Chandra, Tapas Kumar

Pages: 51 –62

[The first Borel–Cantelli lemma is simple and almost trivial. Yet, it is necessary to weaken its sufficient condition to tackle some problems of probability theory.]
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Chapter 3Variants of the Second BCL

Chandra, Tapas Kumar

Pages: 63 –84

[We shall show here that the second Borel–Cantelli lemma holds for a sequence of events which are pairwise independent. Actually, weaker conditions will suffice.]
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Chapter 4A Strengthend form of BCL

Chandra, Tapas Kumar

Pages: 85 –93

[Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{A_n\}_{n \ge...
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Chapter 5The Conditional BCL

Chandra, Tapas Kumar

Pages: 95 –102

[The assumption of ‘independence of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}...

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