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Catalogue Information
Field name	Details
Dewey Class	519.5
Title	The Borel-Cantelli Lemma ([Ebook]) / by Tapas Kumar Chandra.
Author	Chandra, Tapas Kumar
Other name(s)	SpringerLink (Online service)
Publication	India : Springer India
Publication	, 2012.
Physical Details	XII, 106 pages : online resource.
Series	SpringerBriefs in Statistics 2191-544X ; ; 2
ISBN	9788132206774
Summary Note	This monograph provides an extensive treatment of the theory and applications of the celebrated Borel-Cantelli Lemma. Starting from some of the basic facts of the axiomatic probability theory, it embodies the classical versions of these lemma, together with the well known as well as the most recent extensions of them due to Barndorff-Nielsen, Balakrishnan and Stepanov, Erdos and Renyi, Kochen and Stone, Petrov and the present author. The versions of the second Borel-Cantelli Lemma for pair wise negative quadrant dependent sequences, weakly *-mixing sequences, mixing sequences (due to Renyi) and for many other dependent sequences are all included. The special feature of the book is a detailed discussion of a strengthened form of the second Borel-Cantelli Lemma and the conditional form of the Borel-Cantelli Lemmas due to Levy, Chen and Serfling. All these results are well illustrated by means of many interesting examples. All the proofs are rigorous, complete and lucid. An extensive list of research papers, some of which are forthcoming, is provided. The book can be used for a self study and as an invaluable research reference on the present topic.:
Contents note	1. Introductory Chapter -- 2. Extensions of the First Borel-Cantelli Lemma -- 3. Variants of the Second Borel-Cantelli Lemma -- 4. A Strengthened Form of the Second Borel-Cantelli Lemma -- 5. Conditional Borel-Cantelli Lemmas -- 6. Miscellaneous Results.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-81-322-0677-4
Links to Related Works	Subject References: Distribution (Probability theory) . Mathematical Statistics . Probability theory and stochastic processes . Statistical Theory and Methods . Statistics . Authors: Chandra, Tapas Kumar . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Statistics . Classification: 519.5 . 519.5 (DDC 23) .

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The Borel-Cantelli Lemma

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