Authors:
- Elegant and detailed treatment of the topic
- Self-contained discussion
- Includes numerous examples and applications.
- Includes supplementary material: sn.pub/extras
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
“This book is devoted to the famous Borel-Cantelli lemmas, which play a very important role in probability theory, in particular in limit theorems. … The monograph is very well written, full of illustrating examples and problems … . At the end of each chapter there is a complete … list of references. It is a real pleasure to read this book. This monograph may be recommended not only for researchers but also for intermediate and graduate students.” (Przemysław Matuła, Mathematical Reviews, April, 2013)Authors and Affiliations
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, Applied Statistics Division, Indian Statistical Institute, Kolkata, India
Tapas Kumar Chandra
About the author
Tapas Kumar Chandra is a Professor of Statistics at the Indian Statistical Institute, Kolkata, India, since 1991. He is the author of the text books A First Course in Asymptotic Theory of Statistics and A First Course in Probability Theory. Among the problems solved by him, mention must be made of the age-old problems of finding valid Edgeworth expansions of the Likelihood Ratio Statistic and other perturbed Chi-square variables under very general conditions, and of comparing Bahadur-optimal test statistics, settling the conjecture of C. R. Rao on the optimality of score test for local alternatives and obtaining very general extensions of the Kolmogorov-Etemadi SLLN, the Marcinkiewicz-Zygmund SLLN, the well known results on the L1 and Lp convergence of the normalized sample sum and an inequality of Kolmogorov. His work is co-authored with J. K. Ghosh, R. R. Bahadur, S. Ghosal, R. Mukherjee, and others.
Bibliographic Information
Book Title: The Borel-Cantelli Lemma
Authors: Tapas Kumar Chandra
Series Title: SpringerBriefs in Statistics
DOI: https://doi.org/10.1007/978-81-322-0677-4
Publisher: Springer New Delhi
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2012
Softcover ISBN: 978-81-322-0676-7Published: 04 July 2012
eBook ISBN: 978-81-322-0677-4Published: 04 July 2012
Series ISSN: 2191-544X
Series E-ISSN: 2191-5458
Edition Number: 1
Number of Pages: XII, 106
Topics: Statistical Theory and Methods, Probability Theory and Stochastic Processes