Geodesic
Tauberian Theorems and Limit Distributions for Upper Order Statistics
Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 41 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Starting with the Tauberian theorems of Karamata for regular variation we prove a slight extension of a Tauberian theorem by Trautner and the second author and use this to characterize limit relations for upper order statistics if we are in the domain of attraction of a max-stable distribution. Furthermore, we discuss the speed of convergence therein.
DOI : 10.2298/PIM0271041L
Classification : 44A05 60F99 60G70
Keywords: integral transforms, regular variation 
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     title = {Tauberian {Theorems} and {Limit} {Distributions} for {Upper} {Order} {Statistics}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {41 },
     year = {2002},
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     number = {85},
     doi = {10.2298/PIM0271041L},
     zbl = {1033.40002},
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H. Lanzinger; U. Stadtmuller. Tauberian Theorems and Limit Distributions for Upper Order Statistics. Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 41 . doi: 10.2298/PIM0271041L

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