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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Raman Processes and their Applicational stationary sequence {ξ.} exceeds some given level . These times of exceed-ance are stochastic in nature and may be viewed as a point process. Since exceedances of very high levels will be rare, one may suspect that this point process will take on a Poisson character at such levels. An explicit th

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Analytical instruments for process control,ent chapters but begin with a discussion of some basic properties which are relevant, whether or not the process is normal, and which will be useful in the discussion of extremal behaviour in later chapters.

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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.