Characterization of bathtub distributions via percentile residual life functions

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

DES - Working Papers. Statistics and Econometrics. WS from Universidad Carlos III de Madrid. Departamento de Estadística

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.

Keywords: Percentile; residual; life; Bathtub; hazard; rate; Aging; notions (search for similar items in EconPapers)
Date: 2010-05
New Economics Papers: this item is included in nep-hea
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