Modern Discrete Probability - An Essential Toolkit

"This largely self-contained text introduces discrete probability and its applications, at a level suitable for beginning graduate students in mathematics, computer science, statistics and engineering. Each chapter includes exercises and pointers to the wider literature, covering a wide spectrum of essential techniques and key examples"--

List of contents

Preface; Notation; 1. Introduction; 2. Moments and tails; 3. Martingales and potentials; 4. Coupling; 5. Spectral methods; 6. Branching processes; A. Useful combinatorial formulas; B. Measure-theoretic foundations; Bibliography; Index.

About the author

Sébastien Roch is Professor of Mathematics at the University of Wisconsin, Madison. He has been awarded an NSF CAREER award, an Alfred P. Sloan Fellowship, and a Simons Fellowship in Mathematics, and is a Fellow of the Institute for Mathematical Statistics.

Product details

• Authors: Sebastien Roch, Sébastien Roch, Sebastien (University of Wisconsin Roch
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 01.12.2023
• EAN: 9781009305112
• ISBN: 978-1-0-0930511-2
• No. of pages: 452
• Series: Cambridge Series in Statistical and Probabilistic Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; MATHEMATICS / Probability & Statistics / General, algorithms and data structures, Discrete Mathematics, Probability & statistics, Algorithms & data structures, Applied mathematics, Probability and statistics