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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/10.1007/978-1-4612-5449-2Extremum; Maxima; Properties; Random variable; Stochastischer Prozess; Zufallsfolge; statistics
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Springer Series in Statisticshttp://image.papertrans.cn/f/image/320076.jpg
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Asymptotic Distributions of Extremesforms for the limiting distribution of maxima in sequences of i.i.d. random variables. In the derivation, the possible limiting distributions are identified with a class having a certain stability property—the so-called . distributions. It is further shown that this class consists precisely of the t
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Exceedances of Levels and ,th Largest Maximatain limiting distributional results for the kth largest value among ξ.,…, ξ.. In particular, when the familiar assumption . holds (Equation (1.5.1)), it will be shown that the exceedances take on a Poisson character as . becomes large. This leads to the limiting distributions for the kth largest va
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Normal Sequencesre 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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