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An Approach to Extremes via Point Processes

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Modelling Extremal Events

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

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Abstract

Point process techniques give insight into the structure of limit variables and limit processes which occur in the theory of summation (see Chapter 2), in extreme value theory (see Chapters 3 and 4) and in time series analysis (see Chapter 7).

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Notes and Comments

  1. Resnick, S.I. (1987) Extreme Values, Regular Variation, and Point Processes. Springer, New York. [119–122, 132–151, 220, 232–236, 249–265, 281, 310, 441, 554–584]

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  6. Davis, R.A. and Resnick, S.I. (1988) Extremes of moving averages of random variables from the domain of attraction of the double exponential distribution. Stoch. Proc. Appl. 30, 41–68. [278–282, 585–586]

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© 1997 Springer-Verlag Berlin Heidelberg

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Emberchts, P., Klüppelberg, C., Mikosch, T. (1997). An Approach to Extremes via Point Processes. In: Modelling Extremal Events. Applications of Mathematics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33483-2_6

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  • DOI: https://doi.org/10.1007/978-3-642-33483-2_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08242-9

  • Online ISBN: 978-3-642-33483-2

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