Quantile-based reliability aspects of cumulative Tsallis entropy in past lifetime
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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.
KeywordsOrder statistics Quantile function Incomplete beta Past entropy Reversed Hazard quantile function Mean inactivity time
Mathematics Subject Classification94A17 62N05
First author is thankful to the Kerala State Council for Science, Technology and Environment (KSCSTE), India (Order No: 1127/2017/KSCSTE/Thiruvananthapuram) for the financial support. The second and third authors would like to thank the support of the University Grants Commission, India, under the Special Assistance Programme.
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