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Characterization of bathtub distributions via percentile residual life functions

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  • Franco Pereira, Alba María
  • Lillo Rodríguez, Rosa Elvira
  • Romo, Juan

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.

Suggested Citation

  • Franco Pereira, Alba María & Lillo Rodríguez, Rosa Elvira & Romo, Juan, 2010. "Characterization of bathtub distributions via percentile residual life functions," DES - Working Papers. Statistics and Econometrics. WS ws102612, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:ws102612
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    References listed on IDEAS

    as
    1. Harry Joe & Frank Proschan, 1984. "Percentile Residual Life Functions," Operations Research, INFORMS, vol. 32(3), pages 668-678, June.
    2. Franco Pereira, Alba María & Lillo Rodríguez, Rosa Elvira & Shaked, Moshe, 2010. "The decreasing percentile residual life aging notion," DES - Working Papers. Statistics and Econometrics. WS ws101807, Universidad Carlos III de Madrid. Departamento de Estadística.
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    Keywords

    Percentile residual life;

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