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Characterization of bathtub distributions via percentile residual life functions

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  • Alba M. Franco-Pereira

    ()

  • Rosa E. Lillo
  • Juan Romo
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    Abstract

    In reliability theory and survival analysis, many set of data are generated by distributions with bathtub shaped hazard rate functions. Launer (1993) established several relations between the behaviour of the hazard rate function and the percentile residual life function. In particular, necessary conditions were given for a special type of bathtub distributions in terms of percentile residual life functions. The purpose of this paper is to complete the study initiated by Launer (1993) and to characterize (necessary and sufficient conditions) all types of bathtub distributions.

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    File URL: http://e-archivo.uc3m.es/bitstream/10016/8397/1/ws102612.pdf
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    Bibliographic Info

    Paper provided by Universidad Carlos III, Departamento de Estadística y Econometría in its series Statistics and Econometrics Working Papers with number ws102612.

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    Date of creation: May 2010
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    Handle: RePEc:cte:wsrepe:ws102612

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    Related research

    Keywords: Percentile residual life; Bathtub hazard rate; Aging notions;

    This paper has been announced in the following NEP Reports:

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