The Borel-Cantelli Lemma

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book The Borel-Cantelli Lemma by Tapas Kumar Chandra, Springer India
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Tapas Kumar Chandra ISBN: 9788132206774
Publisher: Springer India Publication: July 4, 2012
Imprint: Springer Language: English
Author: Tapas Kumar Chandra
ISBN: 9788132206774
Publisher: Springer India
Publication: July 4, 2012
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer India

Cover of the book Convergence Methods for Double Sequences and Applications by Tapas Kumar Chandra
Cover of the book Stem Cell Therapy for Organ Failure by Tapas Kumar Chandra
Cover of the book Osmolytes and Plants Acclimation to Changing Environment: Emerging Omics Technologies by Tapas Kumar Chandra
Cover of the book Enabling Environment by Tapas Kumar Chandra
Cover of the book Arsenic and Fluoride Contamination by Tapas Kumar Chandra
Cover of the book Perspectives on Violence and Othering in India by Tapas Kumar Chandra
Cover of the book Mantras for Managers by Tapas Kumar Chandra
Cover of the book Lasers Based Manufacturing by Tapas Kumar Chandra
Cover of the book Minimal Stimulation and Natural Cycle In Vitro Fertilization by Tapas Kumar Chandra
Cover of the book ECG Acquisition and Automated Remote Processing by Tapas Kumar Chandra
Cover of the book Globalization and Standards by Tapas Kumar Chandra
Cover of the book Novel Bismuth-Oxyhalide-Based Materials and their Applications by Tapas Kumar Chandra
Cover of the book Research Methodology: A Guide for Researchers In Agricultural Science, Social Science and Other Related Fields by Tapas Kumar Chandra
Cover of the book Digital Speech Processing Using Matlab by Tapas Kumar Chandra
Cover of the book Applied Computation and Security Systems by Tapas Kumar Chandra
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy