Publication: Characterization of bathtub distributions via percentile residual life functions
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2010-05
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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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Percentile residual life, Bathtub hazard rate, Aging notions