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1983 | OriginalPaper | Buchkapitel

Maxima of Mean Square Differentiable Normal Processes

verfasst von : M. R. Leadbetter, Georg Lindgren, Holger Rootzén

Erschienen in: Extremes and Related Properties of Random Sequences and Processes

Verlag: Springer New York

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In this chapter the theory of maxima of mean square differentiable stationary normal processes will be developed under simple conditions—giving analogous results to those of Chapter 4. This will be approached using the properties of upcrossings developed in the previous chapter and will result in the limiting double exponential distribution for the maximum, with the appropriate scale and location normalization similar to that in Chapter 4.

Metadaten
Titel
Maxima of Mean Square Differentiable Normal Processes
verfasst von
M. R. Leadbetter
Georg Lindgren
Holger Rootzén
Copyright-Jahr
1983
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-5449-2_8