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Essentials of Stochastic Processes (Paperback, 2nd ed. 2012)
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Essentials of Stochastic Processes (Paperback, 2nd ed. 2012)
Series: Springer Texts in Statistics
Expected to ship within 10 - 15 working days
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This book is for a first course in stochastic processes taken by
undergraduates or master's students who have had a course in
probability theory. It covers Markov chains in discrete and
continuous time, Poisson processes, renewal processes, martingales,
and mathematical finance. One can only learn a subject by seeing it
in action, so there are a large number of examples and more than
300 carefully chosen exercises to deepen the reader's understanding
The book has undergone a thorough revision since the first edition.
There are many new examples and problems with solutions that use
the TI-83 to eliminate the tedious details of solving linear
equations by hand. Some material that was too advanced for the
level has been eliminated while the treatment of other topics
useful for applications has been expanded. In addition, the
ordering of topics has been improved. For example, the difficult
subject of martingales is delayed until its usefulness can be seen
in the treatment of mathematical finance. Richard Durrett received
his Ph.D. in Operations Research from Stanford in 1976. He taught
at the UCLA math department for nine years and at Cornell for
twenty-five before moving to Duke in 2010. He is the author of 8
books and almost 200 journal articles, and has supervised more that
40 Ph.D. students. Most of his current research concerns the
applications of probability to biology: ecology, genetics, and most
recently cancer.
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