书目名称 | Probability for Statisticians |
编辑 | Galen R. Shorack |
视频video | |
概述 | Still up front and central in the book, Chapters 1-5 provide the "measure theory" necessary for the rest of the textbook and Chapters 6-7 adapt that measure-theoretic background to the special needs o |
丛书名称 | Springer Texts in Statistics |
图书封面 |  |
描述 | .This 2nd edition textbook. .offers a rigorous introduction to measure theoretic probability with particular attention to topics of interest to mathematical statisticians—a textbook for courses in probability for students in mathematical statistics. It is recommended to anyone interested in the probability underlying modern statistics, providing a solid grounding in the probabilistic tools and techniques necessary to do theoretical research in statistics. For the teaching of probability theory to post graduate statistics students, this is one of the most attractive books available...Of particular interest is a presentation of the major central limit theorems via Stein‘s method either prior to or alternative to a characteristic function presentation. Additionally, there is considerable emphasis placed on the quantile function as well as the distribution function. The bootstrap and trimming are both presented. Martingale coverage includes coverage of censored data martingales. The text includes measure theoretic preliminaries, from which the authors own course typically includes selected coverage. ..This is a heavily reworked and considerably shortened version of the first edition of |
出版日期 | Textbook 2017Latest edition |
关键词 | Brownian Motion; law of large numbers; martingale; probability theory; distribution; central limit theore |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-319-52207-4 |
isbn_softcover | 978-3-319-52206-7 |
isbn_ebook | 978-3-319-52207-4Series ISSN 1431-875X Series E-ISSN 2197-4136 |
issn_series | 1431-875X |
copyright | Springer International Publishing AG 2017 |