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＜E-Book＞
Essentials of Stochastic Processes / by Richard Durrett
(Springer Texts in Statistics. ISSN:21974136)

Edition	2nd ed. 2012.
Publisher	New York, NY : Springer New York : Imprint: Springer
Year	2012
Language	English
Size	X, 266 p : online resource
Authors	*Durrett, Richard author SpringerLink (Online service)
Subjects	LCSH:Statistics  LCSH:Probabilities LCSH:Operations research LCSH:Management science FREE:Statistical Theory and Methods FREE:Probability Theory FREE:Operations Research, Management Science
Notes	Markov Chains -- Poisson Processes -- Renewal Processes -- Continuous Time Markov Chains -- Martingales -- Mathematical Finance -- A Review of Probability 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 HTTP:URL=https://doi.org/10.1007/978-1-4614-3615-7

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