On the dependence between the extreme order statistics in the proportional hazards model

Authors:
Ali Dolati;Christian Genest;Subhash C. Kochar
Affiliations:
Department of Mathematics, Faculty of Science, Yazd University, Yazd 89195--741, Iran;Département de mathématiques et de statistique, Université Laval, Québec, Canada G1K 7P4;Department of Mathematics and Statistics, Portland State University, Portland, OR 97207--0751, USA
Venue:
Journal of Multivariate Analysis
Year:
2008

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Abstract

Let X"1,...,X"n be a random sample from an absolutely continuous distribution with non-negative support, and let Y"1,...,Y"n be mutually independent lifetimes with proportional hazard rates. Let also X"("1")