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

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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.

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Acknowledgements

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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Authors and Affiliations

  1. Department of Statistics, Cochin University of Science and Technology, Cochin, Kerala, 682022, India

    Aswathy S. Krishnan, S. M. Sunoj & P. G. Sankaran

Authors
  1. Aswathy S. Krishnan
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  2. S. M. Sunoj
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  3. P. G. Sankaran
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Correspondence to S. M. Sunoj.

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Krishnan, A.S., Sunoj, S.M. & Sankaran, P.G. Quantile-based reliability aspects of cumulative Tsallis entropy in past lifetime. Metrika 82, 17–38 (2019). https://doi.org/10.1007/s00184-018-0678-8

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  • DOI: https://doi.org/10.1007/s00184-018-0678-8

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