Introduction to Stochastic Processes - Brossura

Cinlar, Erhan

Brossura

ISBN 10: 0486497976 ISBN 13: 9780486497976

Casa editrice: Dover Publications, Inc, 2013

Riassunto

This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. The text emphasizes the modern viewpoint, in which the primary concern is the behavior of sample paths. By employing matrix algebra and recursive methods, rather than transform methods, it provides techniques readily adaptable to computing with machines.
Topics include probability spaces and random variables, expectations and independence, Bernoulli processes and sums of independent random variables, Poisson processes, Markov chains and processes, and renewal theory. Assuming some background in calculus but none in measure theory, the complete, detailed, and well-written treatment is suitable for engineering students in applied mathematics and operations research courses as well as those in a wide variety of other scientific fields. Many numerical examples, worked out in detail, appear throughout the text, in addition to numerous end-of-chapter exercises and answers to selected exercises.

Su questo libro

Recensione

This clear presentation of the
most fundamental models of
random phenomena employs
methods that recognize computerrelated
aspects of theory. Topics
include probability spaces and
random variables, expectations
and independence, Bernoulli
processes and sums of independent
random variables, Poisson processes, Markov chains
and processes, and renewal theory. Assuming only a background
in calculus, this outstanding text includes an introduction
to basic stochastic processes.
Reprint of the Prentice-Hall Publishers, Englewood Cliffs,
New Jersey, 1975 edition.

Contenuti

Preface 1. Probability Spaces and Random Variables 2. Expectations and Independence 3. Bernoulli Processes and Sums of Independent Random Variables 4. Poisson Processes 5. Markov Chains 6. Limiting Behavior and Applications of Markov Chains 7. Potentials, Excessive Functions, and Optimal Stopping of Markov Chains 8. Markov Processes 9. Renewal Theory 10. Markov Renewal Theory Afterword Appendix. Non-Negative Matrices References Answers to Selected Exercises Index of Notations Subject Index

Dettagli dell?edizione

• Editore: Dover Publications, Inc
• Data di pubblicazione: 2013
• ISBN 10: 0486497976
• ISBN 13: 9780486497976
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 416
• Contatto del produttore: non disponibile