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A Course in Applied Stochastic Processes
A. Goswami and B. V. Rao, Indian Statistical Institute, Kolkata, India
A publication of Hindustan Book Agency.
cover
Hindustan Book Agency
2006; 226 pp; hardcover
ISBN-10: 81-85931-69-0
ISBN-13: 978-81-85931-69-2
List Price: US$36
Member Price: US$28.80
Order Code: HIN/31
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This book is an introduction to applications of the theory of stochastic processes--more specifically Markov chain theory--in population dynamics, genetics, and epidemics. A prior exposure to basic probability theory should be helpful, but by no means essential. The book includes a quick review of probability that starts from elementary combinatorial probability and ends with some basic properties of diffusions, including a fairly extensive account of martingales and Markov chains, mostly with proofs. This is done fairly rigorously without using measure theoretic tools. In continuation of the effort to keep the prerequisites at the bare minimum, all the basic genetics the reader needs to know is included. Yet sophisticated material on Wright-Fisher and Moran models of genetics, including diffusion approximations, is presented. The material on epidemic models includes several important threshold theorems with carefully presented interpretation and complete proofs.

Although this book is primarily intended for use as a textbook for a course on applied stochastic processes, it can also be used by researchers in the fields of genetics or epidemics for learning about applications of probability in their respective areas.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Graduate students and research mathematicians interested in applied stochastic processes.

Table of Contents

  • Probability tools and techniques
  • Branching processes
  • Basic mathematical genetics
  • Markov models in genetics
  • Models in epidemics
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