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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Aswathy S. Krishnan & S. M. Sunoj & P. G. Sankaran, 2019. "Quantile-based reliability aspects of cumulative Tsallis entropy in past lifetime," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(1), pages 17-38, January.
    • Handle: RePEc:spr:metrik:v:82:y:2019:i:1:d:10.1007_s00184-018-0678-8
    DOI: 10.1007/s00184-018-0678-8
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    References listed on IDEAS

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    1. Calì, Camilla & Longobardi, Maria & Ahmadi, Jafar, 2017. "Some properties of cumulative Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 1012-1021.
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    5. Sunoj, S.M. & Krishnan, Aswathy S. & Sankaran, P.G., 2018. "A quantile-based study of cumulative residual Tsallis entropy measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 410-421.
    6. Sunoj, S.M. & Sankaran, P.G., 2012. "Quantile based entropy function," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1049-1053.
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    8. Mathai, A.M. & Haubold, H.J., 2007. "Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 110-122.
    9. P. G. Sankaran & S. M. Sunoj, 2017. "Quantile-based cumulative entropies," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(2), pages 805-814, January.
    10. Khammar, A.H. & Jahanshahi, S.M.A., 2018. "Quantile based Tsallis entropy in residual lifetime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 994-1006.
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    Cited by:

    1. Jafar Ahmadi, 2021. "Characterization of continuous symmetric distributions using information measures of records," Statistical Papers, Springer, vol. 62(6), pages 2603-2626, December.

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