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On the limiting joint distribution of the extreme order statistics

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  • P. A. Scarf

Abstract

The connection between extreme values and record‐low values is exploited to derive simply the limiting joint distribution of the r largest order statistics. The use of this distribution in the modelling of corrosion phenomena is considered, and the extrapolation of maxima in space and time is described in this context. There has been recent emphasis on movement away from classical extreme value theory to more efficient estimation procedures. This shift is continued with the illustration of the extra precision of predicted maxima obtained from a model based on extreme order statistics over the classical extreme value approach.

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  • P. A. Scarf, 1993. "On the limiting joint distribution of the extreme order statistics," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 9(3), pages 267-278, September.
    • Handle: RePEc:wly:apsmda:v:9:y:1993:i:3:p:267-278
    DOI: 10.1002/asm.3150090307
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