书目名称 | Extreme Values In Random Sequences | 编辑 | Pavle Mladenović | 视频video | | 概述 | Examples, exercises & supplements are included.Highlights the extremal properties of combinatorial configurations obtained by using probabilistic methods.Presents results related to extreme values in | 丛书名称 | Springer Series in Operations Research and Financial Engineering | 图书封面 |  | 描述 | .The main subject is the probabilistic extreme value theory. The purpose is to present recent results related to limiting distributions of maxima in incomplete samples from stationary sequences, and results related to extremal properties of different combinatorial configurations. The necessary contents related to regularly varying functions and basic results of extreme value theory are included in the first two chapters with examples, exercises and supplements. The motivation for consideration maxima in incomplete samples arises from the fact that real data are often incomplete. A sequence of observed random variables from a stationary sequence is also stationary only in very special cases. Hence, the results provided in the third chapter are also related to non-stationary sequences. The proof of theorems related to joint limiting distribution of maxima in complete and incomplete samples requires a non-trivial combination of combinatorics and point process theory. Chapter four provides results on the asymptotic behavior of the extremal characteristics of random permutations, the coupon collector‘s problem, the polynomial scheme, random trees and random forests, random partitions of | 出版日期 | Book 2024 | 关键词 | Extreme values; Stationary sequences; Regular variation; Missing observations; Probabilistic methods in | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-57412-2 | isbn_softcover | 978-3-031-57414-6 | isbn_ebook | 978-3-031-57412-2Series ISSN 1431-8598 Series E-ISSN 2197-1773 | issn_series | 1431-8598 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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