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Cumulative residual Kullback–Leibler information with the progressively Type-II censored data

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  • Park, Sangun
  • Pakyari, Reza

Abstract

We propose an extension of Kullback–Leibler information to the survival function, and generalize it to the censored case. We evaluate its performance as a goodness-of-fit test statistic with the progressively Type-II censored data. The new test is evaluated through Monte Carlo Simulations.

Suggested Citation

  • Park, Sangun & Pakyari, Reza, 2015. "Cumulative residual Kullback–Leibler information with the progressively Type-II censored data," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 287-294.
    • Handle: RePEc:eee:stapro:v:106:y:2015:i:c:p:287-294
    DOI: 10.1016/j.spl.2015.07.029
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    References listed on IDEAS

    as
    1. Sangun Park & Johan Lim, 2015. "On censored cumulative residual Kullback–Leibler information and goodness-of-fit test with type II censored data," Statistical Papers, Springer, vol. 56(1), pages 247-256, February.
    2. Navarro, J. & Sunoj, S.M. & Linu, M.N., 2011. "Characterizations of bivariate models using dynamic Kullback-Leibler discrimination measures," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1594-1598, November.
    3. Park, Sangun & Rao, Murali & Shin, Dong Wan, 2012. "On cumulative residual Kullback–Leibler information," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 2025-2032.
    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.
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    Cited by:

    1. Reza Pakyari & Ayman Baklizi, 2022. "On goodness-of-fit testing for Burr type X distribution under progressively type-II censoring," Computational Statistics, Springer, vol. 37(5), pages 2249-2265, November.
    2. Sankaran, P.G. & Sunoj, S.M. & Nair, N. Unnikrishnan, 2016. "Kullback–Leibler divergence: A quantile approach," Statistics & Probability Letters, Elsevier, vol. 111(C), pages 72-79.

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