Stochastic Processes with Applications (Classics in Applied Mathematics) by Rabi N. Bhattacharya (PDF)

Description

This book develops systematically and rigorously, yet in an expository and lively manner, the evolution of general random processes and their large time properties such as transience, recurrence, and convergence to steady states. The emphasis is on the most important classes of these processes from the viewpoint of theory as well as applications, namely, Markov processes. The book features very broad coverage of the most applicable aspects of stochastic processes, including sufficient material for self-contained courses on random walks in one and multiple dimensions; Markov chains in discrete and continuous times, including birth-death processes; Brownian motion and diffusions; stochastic optimization; and stochastic differential equations. This book is for graduate students in mathematics, statistics, science and engineering, and it may also be used as a reference by professionals in diverse fields whose work involves the application of probability.

User’s Reviews

Editorial Reviews: Review ‘This may be the best all-around treatment [of stochastic processes] for use by graduate students with varied backgrounds but with some mathematical ambitions.’ William G. Faris, University of Arizona’The book is remarkably comprehensive. The additional notes at the end of the chapters contain a fund of information.’ Richard F. Gundy, Rutgers University Book Description A very broad coverage of the most applicable aspects of stochastic processes. Book Description A very broad coverage of the most applicable aspects of stochastic processes. The emphasis is on the most important classes of these processes from the viewpoint of theory as well as applications, namely, Markov processes. It is for graduate students, but will also be useful to professionals as a reference. About the Author Rabi N. Bhattacharya is a Professor of Mathematics at the University of Arizona. He is an IMS Fellow, a member of the AMS, and a recipient of the Humboldt Prize and a Guggenheim Fellowship.Edward C. Waymire is a Professor of Mathematics and Statistics at Oregon State University. He is a member of the AMS and SIAM, a Fellow of the IMS, and past Editor in Chief for the Annals of Applied Probability. Read more

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