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Essentials of Stochastic Processes

Richard Durrett

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English
Springer-Verlag New York Inc.
11 June 2014
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.

By:  
Imprint:   Springer-Verlag New York Inc.
Country of Publication:   United States
Edition:   2nd ed. 2012
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 15mm
Weight:   427g
ISBN:   9781489989673
ISBN 10:   1489989676
Series:   Springer Texts in Statistics
Pages:   266
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

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.

Reviews for Essentials of Stochastic Processes

From the reviews of the second edition: “The book consists of six chapters and 265 pages. … Each chapter has a chapter summary before the exercises. The chapter summary restates the theorems of each section and adds short new commentary. … With its many examples and applications, chosen from the broad experience of the author, this book is an excellent text for a course in applied probability.” (Myron Hlynka, Mathematical Reviews, February, 2014) “This is the second edition of introductory text book on stochastic processes by Richard Durrett. … The new edition contains many new examples and problems. The chapters have been reorganized to facilitate the learning process. … The new edition makes the topic of stochastic processes even more accessible for undergraduate students and people coming from fields of applications.” (H. M. Mai, Zentralblatt MATH, Vol. 1244, 2012)


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