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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 |
| URI: | http://dyuthi.cusat.ac.in/purl/4284 |
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| Quantile based ... ction in past lifetime.pdf | (227.4Kb) |
| Abstract: | In the present paper, we introduce a quantile based Rényi’s entropy function and its residual version. We study certain properties and applications of the measure. Unlike the residual Rényi’s entropy function, the quantile version uniquely determines the distribution |
| Description: | Statistics and Probability Letters 85 (2014) 114–121 |
| URI: | http://dyuthi.cusat.ac.in/purl/4288 |
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| Rényi’s residual entropy A quantile approach.pdf | (378.5Kb) |
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