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The Use of Slepian Model Processes in Crossing and Extreme Value Theory

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Probabilistic Methods in the Mechanics of Solids and Structures
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Abstract

At the Brown Symposium on Time Series Analysis 1962, David Slepian introduced a certain type of stochastic process to describe in explicit form the behaviour of Gaussian noise near or between its zero crossings. This process, now often termed a Slepian model, has since then proved to be a probabilistic tool of wide applicability in engineering statistics. The object of this paper is to present the simple Slepian model, and to give some examples of possible extensions and of their use in different engineering problems. Mathematical details can be found in Leadbetter et al. (1983), Ch. 10.

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References

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© 1985 Springer-Verlag, Berlin, Heidelberg

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Lindgren, G. (1985). The Use of Slepian Model Processes in Crossing and Extreme Value Theory. In: Eggwertz, S., Lind, N.C. (eds) Probabilistic Methods in the Mechanics of Solids and Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82419-7_6

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  • DOI: https://doi.org/10.1007/978-3-642-82419-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82421-0

  • Online ISBN: 978-3-642-82419-7

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