Titlebook: Extremes and Related Properties of Random Sequences and Processes; M. R. Leadbetter,Georg Lindgren,Holger Rootzén Book 1983 Springer-Verla

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https://doi.org/10.1007/978-3-322-90824-7ng a continuous parameter analogue of the dependence restriction D(u.). Limits for probabilities P{M(T) ≤ u.} are then considered for arbitrary families of constants {u.}, leading, in particular, to a determination of domains of attraction.

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Andrey G. Kostianoy,Olga Yu. Lavrovare normal. Their importance is enhanced by the fact that their joint normal distributions are determined by the mean and the covariance structure of the sequence. In this chapter we investigate the extremal properties of stationary normal sequences. In particular covariance conditions will be obtain

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Synthesis Lectures on Mechanical Engineeringous 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.