Quantile based entropy function in past lifetime
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.
Volume (Year): 83 (2013)
Issue (Month): 1 ()
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References listed on IDEAS
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- Bartoszewicz, Jaroslaw, 2009. "On a representation of weighted distributions," Statistics & Probability Letters, Elsevier, vol. 79(15), pages 1690-1694, August.
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- Asok Nanda & Prasanta Paul, 2006. "Some Properties of Past Entropy and their Applications," Metrika, Springer, vol. 64(1), pages 47-61, August.
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