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Titlebook: Extreme Value Theory for Time Series; Models with Power-La Thomas Mikosch,Olivier Wintenberger Book 2024 The Editor(s) (if applicable) and

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书目名称Extreme Value Theory for Time Series
副标题Models with Power-La
编辑Thomas Mikosch,Olivier Wintenberger
视频video
概述Can easily be used for a semester course on extremes for time series at the Master or PhD level.Provides‘a gentle introduction to extreme value theory for heavy-tailed time series.Contains a rich tool
丛书名称Springer Series in Operations Research and Financial Engineering
图书封面Titlebook: Extreme Value Theory for Time Series; Models with Power-La Thomas Mikosch,Olivier Wintenberger Book 2024 The Editor(s) (if applicable) and
描述.This book deals with extreme value theory for univariate and multivariate time series models characterized by power-law tails. These include the classical ARMA models with heavy-tailed noise and financial econometrics models such as the GARCH and stochastic volatility models...Rigorous descriptions of power-law tails are provided through the concept of regular variation. Several chapters are devoted to the exploration of regularly varying structures...The remaining chapters focus on the impact of heavy tails on time series, including the study of extremal cluster phenomena through point process techniques...A major part of the book investigates how extremal dependence alters the limit structure of sample means, maxima, order statistics, sample autocorrelations. ..This text illuminates the theory through hundreds of examples and as many graphs showcasing its applications to real-life financial and simulated data...The book can serve as a text for PhD and Master courses on applied probability, extreme value theory, and time series analysis...It is a unique reference source for the heavy-tail modeler. Its reference quality is enhanced by an exhaustive bibliography, annotated by notes
出版日期Book 2024
关键词heavy-tail phenomena; Modeling extremal events; time series; cluster phenomena; big jump principle
版次1
doihttps://doi.org/10.1007/978-3-031-59156-3
isbn_softcover978-3-031-59158-7
isbn_ebook978-3-031-59156-3Series 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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https://doi.org/10.1007/978-981-10-8285-6to use this knowledge and to create the framework of a . of random variables or random vectors. A natural approach to this task is to assume that all marginal and finite-dimensional distributions of this sequence are regularly varying in the sense of Chap. ..
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GKSS School of Environmental Researchthe reciprocal of the expected cluster length. We discovered that the existence of a . smaller extremal index than 1 means that the limit distribution of the maxima in a dependent sample is downscaled when compared with an iid sample of the same size, and the distribution of . for high thresholds . essentially reduces to ..
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Introduction,h and nineteenth centuries, for example the law or large numbers, the central limit theorem with Gaussian limit distribution, and Poisson’s limit theorem. The limit law in the latter result was considered of little practical value, very much in contrast to the Gaussian law.
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Regularly Varying Time Seriesto use this knowledge and to create the framework of a . of random variables or random vectors. A natural approach to this task is to assume that all marginal and finite-dimensional distributions of this sequence are regularly varying in the sense of Chap. ..
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978-3-031-59158-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Extreme Value Theory for Time Series978-3-031-59156-3Series ISSN 1431-8598 Series E-ISSN 2197-1773
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