Quantile-based reliability aspects of cumulative Tsallis entropy in past lifetime

Aswathy S. Krishnan (), S. M. Sunoj () and P. G. Sankaran ()
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Aswathy S. Krishnan: Cochin University of Science and Technology
S. M. Sunoj: Cochin University of Science and Technology
P. G. Sankaran: Cochin University of Science and Technology

Metrika: International Journal for Theoretical and Applied Statistics, 2019, vol. 82, issue 1, No 2, 17-38

Abstract: Abstract Measure of uncertainty in past lifetime plays an important role in different areas such as information theory, reliability theory, survival analysis, economics, business, forensic science and other related fields. In this paper, we propose a cumulative Tsallis entropy in past lifetime based on quantile function. We obtain different characterizations based on the proposed measure and quantile-based reliability measures. We also study the quantile-based cumulative Tsallis entropy of order statistics in past lifetime.

Keywords: Order statistics; Quantile function; Incomplete beta; Past entropy; Reversed Hazard quantile function; Mean inactivity time; 94A17; 62N05 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-018-0678-8

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