Multivariate order statistics via multivariate concomitants

Barry C. Arnold, Enrique Castillo and José María Sarabia ()

Journal of Multivariate Analysis, 2009, vol. 100, issue 5, 946-951

Abstract: Let denote a set of n independent identically distributed k-dimensional absolutely continuous random variables. A general class of complete orderings of such random vectors is supplied by viewing them as concomitants of an auxiliary random variable. The resulting definitions of multivariate order statistics subsume and extend orderings that have been previously proposed such as norm ordering and N-conditional ordering. Analogous concepts of multivariate record values and multivariate generalized order statistics are also described.

Keywords: 60E05; 60G30; Norm; ordering; N-conditional; ordering; Generalized; order; statistics; Progressive; censoring; Jones; constructions (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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