Limit results for concomitants of order statistics

N. Balakrishnan () and Alexei Stepanov ()

Metrika: International Journal for Theoretical and Applied Statistics, 2015, vol. 78, issue 4, 385-397

Abstract: In this paper, we discuss the concomitants of order statistics. We study asymptotic properties of the concomitants of largest order statistics and we pay special attention to strong limit results. The strong limit results of this work are derived by applying the Borel–Cantelli lemma and some of its recent generalizations. The theoretical results of this paper are illustrated with examples. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Bivariate distributions; Order statistics; Concomitants; Borel–Cantelli lemma; Strong limit laws (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s00184-014-0508-6

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