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Essentials of Stochastic Processes. 3rd ed. R.デュレット著『確率過程の基礎』第3版
・ISBN 978-3-319-45613-3 hard EUR 129.99
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| 著者・編者 | Durrett, Richard, |
|---|---|
| シリーズ | Springer Texts in Statistics |
| 出版社 | (Springer, GW) |
| 出版年月 | 2016 |
| ページ数 | 282 pp. |
| 言語 | ENG |
| ニュース番号 | ＜636-377 636-P840＞ |
解説
Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. 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.
Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while 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 applied in the treatment of mathematical finance.