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Discrete Stochastic Processes and Applications by Jean-Francois Collet
Discrete Stochastic Processes and Applications by Jean-Francois Collet
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Discrete Stochastic Processes and Applications

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Description

This unique text for beginning graduate students gives a self-contained introduction to the mathematical properties of stochastics and presents their applications to Markov processes, coding theory, population dynamics, and search engine design. The book is ideal for a newly designed course in an introduction to probability and information theory. Prerequisites include working knowledge of linear algebra, calculus, and probability theory. The first part of the text focuses on the rigorous theory of Markov processes on countable spaces (Markov chains) and provides the basis to developing solid probabilistic intuition without the need for a course in measure theory. The approach taken is gradual beginning with the case of discrete time and moving on to that of continuous time. The second part of this text is more applied; its core introduces various uses of convexity in probability and presents a nice treatment of entropy.

Author Biography:

Jean-François Collet received his PhD from the University of Bloomington in 1992 and has been Maître de Conférences at the Laboratoire J.A. Dieudonné, Université de Nice Sophia-Antipolis since 1993. Professor Collet’s research interests include Partial Differential Equations and Information theory.
Release date Australia
April 13th, 2018
Audience
  • Professional & Vocational
Edition
1st ed. 2018
Illustrations
3 Illustrations, black and white; XVII, 220 p. 3 illus.
Pages
220
ISBN-13
9783319740171
Product ID
27518440

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