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Titlebook: Extreme Values, Regular Variation and Point Processes; Sidney I. Resnick Book 1987 Springer Science+Business Media New York 1987 Karamata‘

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Quality of Convergence,The previous chapters contain information characterizing possible limit distributions for extremes and also discuss domain of attraction criteria.
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Multivariate Extremes,We now consider extremes of multivariate data. Let {X., . ≥ 1} be iid random vectors in ℝ.. When . = 1, concepts such as extreme values, order statistics and record values have natural definitions but when . > 1 this is no longer the case as several different concepts of ordering are possible.
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Records and Extremal Processes,e maximum means a record was observed, a record being a value larger than previous values. So the previous question is equivalent to asking how often records occur. Also, at what indices do records occur and do the actual record values have any pattern?
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Social Development Experiences in Chinam variables. Section 0.4 treats the basic facts in the theory of regular variation and some important extensions. Regular variation is the basic analytical theory underpinning extreme value theory, and its importance cannot be overemphasized.
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