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

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  • Rojo, Javier

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.

Suggested Citation

  • Rojo, Javier, 1993. "On the preservation of some pure-tail orderings by reliability operations," Statistics & Probability Letters, Elsevier, vol. 17(3), pages 189-198, June.
    • Handle: RePEc:eee:stapro:v:17:y:1993:i:3:p:189-198
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    Cited by:

    1. Maín, P. & Navarro, H., 1997. "On tail behavior in Bayesian location inference," Statistics & Probability Letters, Elsevier, vol. 35(4), pages 363-370, November.
    2. Javier Rojo, 1996. "Relationships between pure tail orderings of lifetime distributions and some concepts of residual life," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(2), pages 247-255, June.

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