Springer Texts in Statistics

Essentials of Stochastic Processes

Authors: Durrett, Richard

  • More than 300 exercises for effective learning
  • Includes problems with solutions and new examples
  • Significant revision to the successful first edition
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  • ISBN 978-1-4614-3615-7
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  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-1-4899-8967-3
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About this Textbook

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.

About the authors

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

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)


Table of contents (6 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-3615-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-1-4899-8967-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Essentials of Stochastic Processes
Authors
Series Title
Springer Texts in Statistics
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-3615-7
DOI
10.1007/978-1-4614-3615-7
Softcover ISBN
978-1-4899-8967-3
Series ISSN
1431-875X
Edition Number
2
Number of Pages
X, 266
Topics