The Borel-Cantelli Lemma

• Main Author: Chandra, Tapas Kumar (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: India : Springer India : Imprint: Springer, 2012.
• Series: SpringerBriefs in Statistics, 2
• Subjects: Statistics.; Probabilities.; Statistical Theory and Methods.; Probability Theory and Stochastic Processes.

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...

Table of Contents:

• 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.