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Synopsis
A vigorous response to the challenges of incorporating computer use into the teaching and learning of stochastic processes, this book takes an applications- and computer-oriented approach rather than the standard formal and mathematically rigorous approach. It is suitable for advanced undergraduates and beginning graduate students in operations research, management science, finance, engineering, statistics, computer science, and applied mathematics. Prerequisites are intermediate-level calculus, elementary linear algebra, and an introductory course in probability with an emphasis in operational skills on conditioning.
The first chapter reviews some preliminary materials, including transform methods and basic concepts in mathematical analysis. Subsequent chapters explore variants of Poisson processes, renewal processes, discrete-time and continuous-time Markov chains, Markov renewal and semi-regenerative processes, and Brownian motion and other diffusion processes. Each chapter concludes with problems, bibliographic notes, references, and an Appendix. A Solutions Manual is available to instructors upon request.
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About the Author
Edward P. C. Kao is Professor of Mathematics at the University of Houston.
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- PublisherDover Publications
- Publication date2019
- ISBN 10 0486837920
- ISBN 13 9780486837925
- BindingPaperback
- LanguageEnglish
- Number of pages448
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An Introduction to Stochastic Processes (Dover Books on Mathematics)
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Dover Publications (edition ), 2019
ISBN 10: 0486837920
ISBN 13: 9780486837925
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