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Titlebook: Extreme Values In Random Sequences; Pavle Mladenović Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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发表于 2025-3-21 18:36:59 | 显示全部楼层 |阅读模式
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Titlebook: Extreme Values In Random Sequences;  Pavle Mladenović Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to
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
doihttps://doi.org/10.1007/978-3-031-57412-2
isbn_softcover978-3-031-57414-6
isbn_ebook978-3-031-57412-2Series ISSN 1431-8598 Series E-ISSN 2197-1773
issn_series 1431-8598
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 23:56:43 | 显示全部楼层
Basic Results of Extreme Value Theory,pet obtained three possible forms of the limiting distributions of maxima, called extreme value distributions, in the sequences of independent and identically distributed random variables. Von Mises obtained the sufficient conditions for an absolutely continuous distribution function to belong to an
发表于 2025-3-22 04:12:55 | 显示全部楼层
Time Series and Missing Observations,ly given that real data are often incomplete, and therefore the theoretical results used in statistical inference should take this fact into account. The problem was first considered by Mittal 1978, who investigated the asymptotic behavior of maxima in complete and incomplete samples from Gaussian s
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1431-8598 istic methods.Presents results related to extreme values in .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
发表于 2025-3-22 14:45:59 | 显示全部楼层
Book 2024ncomplete 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 a
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Institutions and International Business,onary sequences, extremes in random fields, and other topics have also attracted considerable attention. Although the statistical inference of extreme values is not in the focus of this book, let us mention here that a great deal of research has been devoted to the statistics of extreme values.
发表于 2025-3-23 08:07:50 | 显示全部楼层
Inertia: Resistance and Enduranceribution of a random vector whose components are the maximum in a complete sample and the maximum of observed random variables is uniquely determined by the asymptotic relative frequency of observed random variables. This is not the case unless the conditions of weak dependence are satisfied. The as
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