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Fluctuations of Upper Order Statistics

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Modelling Extremal Events

Part of the book series: Applications of Mathematics ((SMAP,volume 33))

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Abstract

After having investigated in Chapter 3 the behaviour of the maximum, i.e. the largest value of a sample, we now consider the joint behaviour of several upper order statistics. They provide information on the right tail of a df.

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Notes and Comments

  1. Leadbetter, M.R., Lindgren, G. and Rootzén, H. (1983) Extremes and Related Properties of Random Sequences and Processes. Springer, Berlin. [117–120, 151, 211–218, 235–247, 263, 282, 417–418]

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  2. Leadbetter, M.R. and Rootzén, H. (1988) Extremal theory for stochastic processes. Ann. Probab. 16, 431–478. [218, 282, 425]

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© 1997 Springer-Verlag Berlin Heidelberg

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Emberchts, P., Klüppelberg, C., Mikosch, T. (1997). Fluctuations of Upper Order Statistics. In: Modelling Extremal Events. Applications of Mathematics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33483-2_5

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  • DOI: https://doi.org/10.1007/978-3-642-33483-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08242-9

  • Online ISBN: 978-3-642-33483-2

  • eBook Packages: Springer Book Archive

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