Publications de l'Institut Mathematique 2002 Volume 71, Issue 85, Pages: 113-122
https://doi.org/10.2298/PIM0271113T
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Convergence of ratios and differences of two order statistics
Teugels Jef L. (Katholieke Universiteit Leuven Belgium)
Vanroelen Giovanni (Katholieke Universiteit Leuven Belgium)
We study some direct and converse results for functions involving ratios or differences of two ascending order statistics. In our proofs, we rely heavily on techniques from the theory of regular variation and its adaptations.
Keywords: order statistics, regular variation, selection principle.