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Bivariate Dynamic Weighted Survival Entropy of Order 𝛼

Author

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  • Nair Rohini S.

    (Department of Statistics, University of Kerala, Thiruvananthapuram – 695 581, India)

  • Abdul Sathar E. I.

    (Department of Statistics, University of Kerala, Thiruvananthapuram – 695 581, India)

Abstract

Recently, G. Rajesh, E. I. Abdul-Sathar and S. Nair Rohini [G. Rajesh, E. I. Abdul-Sathar and S. Nair Rohini, On dynamic weighted survival entropy of order α, Comm. Statist. Theory Methods 46 2017, 5, 2139–2150] proposed a measure of uncertainty based on the survival function called weighted survival entropy of order α. They have also introduced the dynamic form of a measure called dynamic weighted survival entropy of order α and studied various properties in the context of reliability modeling. In this paper, we extend these measures into the bivariate setup and study its properties. We also look into the problem of extending the same measure for conditionally specified models. Empirical and non-parametric estimators are suggested for the proposed measure using the conditionally specified model, and the effect of the proposed estimators is illustrated using simulated and real data sets.

Suggested Citation

  • Nair Rohini S. & Abdul Sathar E. I., 2019. "Bivariate Dynamic Weighted Survival Entropy of Order 𝛼," Stochastics and Quality Control, De Gruyter, vol. 34(2), pages 67-85, December.
    • Handle: RePEc:bpj:ecqcon:v:34:y:2019:i:2:p:67-85:n:3
    DOI: 10.1515/eqc-2018-0032
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    References listed on IDEAS

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    1. G. Rajesh & E. I. Abdul-Sathar & S. Nair Rohini, 2017. "On dynamic weighted survival entropy of order α," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(5), pages 2139-2150, March.
    2. S.S. & S.M., 2008. "Some Dynamic Generalized Information Measures In The Context Of Weighted Models," Statistica, Department of Statistics, University of Bologna, vol. 68(1), pages 71-84.
    3. J. Navarro & Y. Aguila & J. Ruiz, 2001. "Characterizations through reliability measures from weighted distributions," Statistical Papers, Springer, vol. 42(3), pages 395-402, July.
    4. J. Navarro & S. M. Sunoj & M. N. Linu, 2014. "Characterizations of Bivariate Models Using Some Dynamic Conditional Information Divergence Measures," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(9), pages 1939-1948, May.
    5. Ebrahimi, Nader & Kirmani, S.N.U.A. & Soofi, Ehsan S., 2007. "Multivariate dynamic information," Journal of Multivariate Analysis, Elsevier, vol. 98(2), pages 328-349, February.
    6. Amarjit Kundu & Chanchal Kundu, 2017. "Bivariate extension of (dynamic) cumulative past entropy," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(9), pages 4163-4180, May.
    7. Abbasnejad, M. & Arghami, N.R. & Morgenthaler, S. & Mohtashami Borzadaran, G.R., 2010. "On the dynamic survival entropy," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1962-1971, December.
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