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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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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