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.
A very broad coverage of the most applicable aspects of stochastic processes.
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.
Reviews
'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 Information
ISBN 9780898716894
Author Rabi N. Bhattacharya
Format Paperback
Page Count 184
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 940g
Dimensions(mm) 227mm * 151mm * 32mm
A very broad coverage of the most applicable aspects of stochastic processes.
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.
Reviews
'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 Information
ISBN 9780898716894
Author Rabi N. Bhattacharya
Format Paperback
Page Count 184
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 940g
Dimensions(mm) 227mm * 151mm * 32mm
