Book description
Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology and fundamental results of probability theory. Exercises are included throughout the text, not just at the end, to teach each concept fully as it is explained, including presentations of interesting extensions of the theory. The complete and detailed nature of the book makes it ideal as a reference book or for selfstudy in probability and related fields.
 Covers a wide range of subjects including fexpansions, FukNagaev inequalities and Markov triples.
 Provides multiple clearly worked exercises with complete proofs.
 Guides readers through examples so they can understand and write research papers independently.
Table of contents
 Cover image
 Title page
 Table of Contents
 Copyright
 Preface
 PART 1: ANALYSIS

PART 2: PROBABILITY
 Chapter 6. Elementary Notions in Probability Theory
 Chapter 7. Distribution Functions and Characteristic Functions
 Chapter 8. Probabilities on Metric Spaces
 Chapter 9. Central Limit Problem
 Chapter 10. Sums of Independent Random Variables
 Chapter 11. Conditioning
 Chapter 12. Ergodicity, Mixing, and Stationarity
 List of Symbols
Product information
 Title: Analysis and Probability
 Author(s):
 Release date: January 2013
 Publisher(s): Elsevier
 ISBN: 9780124017276
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