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Measure of uncertainty about predictability of failure time of a system at the interval of time has been introduced in [13]. In this paper, a measure of discrepancy between two lifetime distributions at the interval of time is proposed on the basis of Kullback-Leibler discrimination information. We study the Kullback-Leibler measure for two-sided truncated random variables. We study various properties...
Measures of cumulative residual entropy (CRE) and cumulative entropy (CE) about predictability of failure time of a system have been introduced in [8, 4] respectively. In this paper, we propose the weighted forms of CRE and CE. These information-theoretic uncertainty measures are shift-dependent. We study various properties of these measures, including their connections with CRE and CE and weighted...
Measures of uncertainty in past and residual lifetime distributions have been proposed in the information-theoretic literature. Recently, Di Crescenzo and Longobardi (2006) introduced weighted differential entropy and its dynamic versions. These information-theoretic uncertainty measures are shift-dependent. In this paper, we study the weighted differential information measure for two-sided truncated...
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