Sunoj, S M; Asok, Nanda K; Sankaran, P G(Elsevier, October 4, 2012)
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Abstract:
Di Crescenzo and Longobardi (2002) introduced a measure of uncertainty in past lifetime
distributions and studied its relationship with residual entropy function. In the present
paper, we introduce a quantile version of the entropy function in past lifetime and study
its properties. Unlike the measure of uncertainty given in Di Crescenzo and Longobardi
(2002) the proposed measure uniquely determines the underlying probability distribution.
The measure is used to study two nonparametric classes of distributions. We prove
characterizations theorems for some well known quantile lifetime distributions
Description:
Statistics and Probability Letters 83 (2013) 366–372