| 书目名称 | Limit Theorems for Multi-Indexed Sums of Random Variables | | 编辑 | Oleg Klesov | | 视频video | | | 概述 | First unified treatment of the subject of limit theorems for multiple sums of independent random variables.Presents new results even for the classical setting.Offers a modern approach.Includes supplem | | 丛书名称 | Probability Theory and Stochastic Modelling | | 图书封面 |  | | 描述 | .Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the field. Several new results are introduced, even in the classical setting, as well as some new approaches that are simpler than those already established in the literature. In particular, new proofs of the strong law of large numbers and the Hajek-Renyi inequality are detailed. Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes..Limit theorems form the backbone of probability theory and statistical theory alike. The theory of multiple sums of random variables is a direct generalization of the classical study of limit theorems, whose importance and wide application in science is unquestionable. However, to date, the subject of multiple sums has only been treated in journals..The results described in this book will be of interest to advanced undergraduates, graduate students and researchers who work on limit theorems in probability theory, the statistical analysis of random fields, as well as in the field of random sets or stochastic geometry. The central topic is al | | 出版日期 | Book 2014 | | 关键词 | 60F15, 60F05, 60F10, 60E15, 60E07, 60E10, 60F20; almost sure convergence; law of the iterated logarith | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-44388-0 | | isbn_softcover | 978-3-662-51150-3 | | isbn_ebook | 978-3-662-44388-0Series ISSN 2199-3130 Series E-ISSN 2199-3149 | | issn_series | 2199-3130 | | copyright | Springer-Verlag Berlin Heidelberg 2014 |
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发表于 2025-3-21 17:19:52
