Description
Lévy Processes and Infinitely Divisible Distributions (2nd Ed., Revised edition)
Cambridge Studies in Advanced Mathematics Series
Author: Sato Ken-iti
A corrected edition of a highly successful introductory text for graduate students. Assumes no prior knowledge of stochastic processes.
Language: EnglishSubject for Lévy Processes and Infinitely Divisible Distributions:
Approximative price 80.97 €
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Publication date: 12-2013
536 p. · 15.2x22.6 cm · Paperback
536 p. · 15.2x22.6 cm · Paperback
Description
/li>Contents
/li>Biography
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Lévy processes are rich mathematical objects and constitute perhaps the most basic class of stochastic processes with a continuous time parameter. This book is intended to provide the reader with comprehensive basic knowledge of Lévy processes, and at the same time serve as an introduction to stochastic processes in general. No specialist knowledge is assumed and proofs are given in detail. Systematic study is made of stable and semi-stable processes, and the author gives special emphasis to the correspondence between Lévy processes and infinitely divisible distributions. All serious students of random phenomena will find that this book has much to offer. Now in paperback, this corrected edition contains a brand new supplement discussing relevant developments in the area since the book's initial publication.
Preface to the revised edition; Remarks on notation; 1. Basic examples; 2. Characterization and existence; 3. Stable processes and their extensions; 4. The Lévy–Itô decomposition of sample functions; 5. Distributional properties of Lévy processes; 6. Subordination and density transformation; 7. Recurrence and transience; 8. Potential theory for Lévy processes; 9. Wiener–Hopf factorizations; 10. More distributional properties; Supplement; Solutions to exercises; References and author index; Subject index.
Ken-iti Sato is Professor Emeritus at Nagoya University, Japan.
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