Elements of Applied Stochastic Processes

U. NARAYAN BHAT, PhD, is Professor of Statistical Science and Operations Research as well as the Dean of Research and Graduate Studies at Southern Methodist University. GREGORY K. MILLER, PhD, is Associate Professor of Statistics at Stephen F. Austin State University.

"…provides excellent coverage of the basic topics…Bhat and Miller have provided an excellent text and reference book.” (Interfaces, July/ August 2004) "...an extended and well-written introduction to the theory...of stochastic processes and their applications..." (Zentralblatt Math, Vol. 1024, 2004)"...besides conveying the concepts of stochastic processes, this book succeeds in providing insight into the reasons why for a particular topic certain lines of investigation are pursued and why certain variables/functions are introduced." (Technometrics, Vol. 45, No. 3, August 2003)

• Preface. Stochastic Processes: Description and Definition. Markov chains. Irreducible Markov Chains with Ergodic States. Branching Processes and Other Special Topics. Statistical Inference for Markov Chains. Applied Markov Chains. Simple Markov Processes. Statistical Inference for Simple Markov Processes. Applied Markov Processes. Renewal Processes. Stationary Processes and Time Series Analysis. Simulation and Markov Chain Monte Carlo. Answers to Selected Exercises. Appendix. Author Index. Subject Index.