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Limit Theorems of Probability Theory : Sequences of Independent Random Variables.
・ISBN 978-0-19-853499-0 hard GB£ 267.50
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-383-02563-7
| 著者・編者 | Petrov, Valentin V., |
|---|---|
| シリーズ | Oxford Studies in Probability |
| 出版社 | (Oxford University Press, UK) |
| 出版年月 | 1995 |
| ページ数 | 304 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7771＞ |
解説
This book is devoted to limit theorems and probability inequalities for sums of independent random variables. It includes limit theorems on convergence to infinitely divisible distributions, the central limit theorem with rates of convergence, the weak and strong law of large numbers, the law of the iterated logarithm, and also many inequalities for sums of an arbitrary number of random variables. The aim of the book is two-fold. First, the book can be a basis for a course in probability for graduate or advanced undergraduate students. Second, the book can serve as a reference formulations of many (mostly recent) results which are usually inaccessible in book form. These supplements border on the basic text and make it possible for the reader to look at the frontier of modern investigations.