| 书目名称 | Probability-1 | | 编辑 | Albert N. Shiryaev | | 视频video | | | 概述 | Successfully synthesizes the most important classical ideas and results with many of the major achievements of modern probability theory.Author provides clear and comprehensive introduction to probabi | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | .This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, the measure-theoretic foundations of probability theory, weak convergence of probability measures, and the central limit theorem. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text for independent study..To accommodate the greatly expanded material in the third edition of .Probability., the book is now divided into two volumes. This first volume contains updated references and substantial revisions of the first three chapters of the second edition. In particular, new material has been added on generating functions, the inclusion-exclusion principle, theorems on monotonic classes (relying on a detailed treatment of “π-λ” systems), and the fundamental theorems of mathematical statistics.. | | 出版日期 | Textbook 2016Latest edition | | 关键词 | Ergodic theory; Markov chain; Martingale; Probability theory; Random variable; Random walk; Stochastic pro | | 版次 | 3 | | doi | https://doi.org/10.1007/978-0-387-72206-1 | | isbn_softcover | 978-1-4939-7905-9 | | isbn_ebook | 978-0-387-72206-1Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 2016 |
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发表于 2025-3-21 17:20:38
