A First Look at Stochastic Processes (Hardcover)

A First Look at Stochastic Processes By Jeffrey S. Rosenthal Cover Image

A First Look at Stochastic Processes (Hardcover)


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This textbook introduces the theory of stochastic processes, that is, randomness which proceeds in time. Using concrete examples like repeated gambling and jumping frogs, it presents fundamental mathematical results through simple, clear, logical theorems and examples. It covers in detail such essential material as Markov chain recurrence criteria, the Markov chain convergence theorem, and optional stopping theorems for martingales. The final chapter provides a brief introduction to Brownian motion, Markov processes in continuous time and space, Poisson processes, and renewal theory.

Interspersed throughout are applications to such topics as gambler's ruin probabilities, random walks on graphs, sequence waiting times, branching processes, stock option pricing, and Markov Chain Monte Carlo (MCMC) algorithms.

The focus is always on making the theory as well-motivated and accessible as possible, to allow students and readers to learn this fascinating subject as easily and painlessly as possible.

Product Details ISBN: 9789811207907
ISBN-10: 9811207909
Publisher: World Scientific Publishing Company
Publication Date: September 23rd, 2019
Pages: 212
Language: English