On the preservation of some pure-tail orderings by reliability operations

Javier Rojo

Statistics & Probability Letters, 1993, vol. 17, issue 3, 189-198

Abstract: The concept of tail-heaviness of a distribution function is prominent in both the theory and applications of statistics. Recently Rojo (1992), considered the q-ordering and D-ordering, whose attention is focused in making comparisons on the tails of the distributions. Here, the preservation of q- and D-ordering are investigated under convolution, formation of coherent systems (hence also order statistics), finite mixtures, and monotone transformations.

Keywords: Tail-orderings; quantile; functions; density-quantile; functions; coherent; systems; mixtures; convolutions; q-ordering; D-ordering (search for similar items in EconPapers)
Date: 1993
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Citations: View citations in EconPapers (2)

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