| 书目名称 | Selected Works of C.C. Heyde |
| 编辑 | Ross Maller,Ishwar Basawa,Eugene Seneta |
| 视频video | |
| 概述 | Provides convient access to significant papers from a highly regarded author working at a time when many of the foundational building blocks of probability and statistics were being put in place.Inclu |
| 丛书名称 | Selected Works in Probability and Statistics |
| 图书封面 |  |
| 描述 | In 1945, very early in the history of the development of a rigorous analytical theory of probability, Feller (1945) wrote a paper called “The fundamental limit theorems in probability” in which he set out what he considered to be “the two most important limit theorems in the modern theory of probability: the central limit theorem and the recently discovered … ‘Kolmogoroff’s cel ebrated law of the iterated logarithm’ ”. A little later in the article he added to these, via a charming description, the “little brother (of the central limit theo rem), the weak law of large numbers”, and also the strong law of large num bers, which he considers as a close relative of the law of the iterated logarithm. Feller might well have added to these also the beautiful and highly applicable results of renewal theory, which at the time he himself together with eminent colleagues were vigorously producing. Feller’s introductory remarks include the visionary: “The history of probability shows that our problems must be treated in their greatest generality: only in this way can we hope to discover the most natural tools and to open channels for new progress. This remark leads naturally to that charact |
| 出版日期 | Book 2010 |
| 关键词 | Branching process; Equivalence; Galton-Watson process; History of Mathematics; Likelihood; Martingale; Nor |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4419-5823-5 |
| isbn_softcover | 978-1-4939-4059-2 |
| isbn_ebook | 978-1-4419-5823-5Series ISSN 2197-5825 Series E-ISSN 2197-5833 |
| issn_series | 2197-5825 |
| copyright | Springer Science+Business Media, LLC 2010 |
发表于 2025-3-21 17:53:24
