Essentials of stochastic processes

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...

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Päätekijä: Durrett, Richard, 1951-...., mathématicien
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: New York, NY : Springer New York [20..].
Cham : Springer Nature
Painos:2nd ed. 2012.
Sarja:Springer Texts in Statistics
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Edition sous un autre format:• Essentials of stochastic processes, Richard Durrett, 2nd edition, New York, Springer, 2012, 1 vol. (X-265 p.), Springer texts in statistics, 978-1-4614-3614-0
• Essentials of stochastic processes, Richard Durrett, 2nd edition, New York, Springer, 2012, 1 vol. (X-265 p.), Springer texts in statistics, 978-1-4614-3614-0
• Essentials of Stochastic Processes, Texte imprimé, 9781461436164
• Essentials of stochastic processes, Richard Durrett, 2nd edition, [New York], Springer, 2012, 1 vol. (X-265 p.), Springer texts in statistics, 978-1-4899-8967-3
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245 1 0 |a Essentials of stochastic processes   |c Richard Durrett. 
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505 1 |a Markov Chains Poisson Processes Renewal Processes Continuous Time Markov Chains Martingales Mathematical Finance A Review of Probability 
505 0 |a Markov Chains -- Poisson Processes -- Renewal Processes -- Continuous Time Markov Chains -- Martingales -- Mathematical Finance -- A Review of Probability 
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520 |a 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 
650 |a Markov, processus de 
650 |a Processus stochastiques 
650 |a Processus de poisson 
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