On Weighted Generalized Cumulative Residual Entropy of Order n

Suchandan Kayal ()
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Suchandan Kayal: National Institute of Technology Rourkela

Methodology and Computing in Applied Probability, 2018, vol. 20, issue 2, 487-503

Abstract: Abstract The present paper considers a shift-dependent measure of uncertainty and its dynamic (residual) version. Various properties have been discussed. Two classes of lifetime distributions are proposed. Further, when m independent and identically distributed observations are available, an estimator of the measure under study is presented using empirical approach. In addition, large sample properties of the estimator are studied. Finally, an application of the proposed measure to the problem related to right-tail risk measure is presented.

Keywords: WGCRE; Increasing convex order; Decreasing failure rate; Combination mean residual waiting time; Proportional hazard models; Empirical WGCRE; Risk measure; 94A17; 62N05; 60E15 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11009-017-9569-0

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