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On cumulative residual entropy of progressively censored order statistics

Author

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  • Abo-Eleneen, Z.A.
  • Almohaimeed, B.
  • Ng, H.K.T.

Abstract

The joint cumulative residual entropy (CRE), a measure of information, based on progressively Type-II censored order statistics is discussed. Some useful representations, recurrence relations, a characterization result and two nonparametric estimation methods for the CRE are developed.

Suggested Citation

  • Abo-Eleneen, Z.A. & Almohaimeed, B. & Ng, H.K.T., 2018. "On cumulative residual entropy of progressively censored order statistics," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 47-52.
    • Handle: RePEc:eee:stapro:v:139:y:2018:i:c:p:47-52
    DOI: 10.1016/j.spl.2018.03.008
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    References listed on IDEAS

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    1. Kumar, Vikas & Taneja, H.C., 2011. "Some characterization results on generalized cumulative residual entropy measure," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1072-1077, August.
    2. N. Balakrishnan, 2007. "Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 211-259, August.
    3. Park, Sangun & Kim, Ilmun, 2014. "On cumulative residual entropy of order statistics," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 170-175.
    4. N. Balakrishnan, 2007. "Rejoinder on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 290-296, August.
    5. Theil, Henri, 1980. "The entropy of the maximum entropy distribution," Economics Letters, Elsevier, vol. 5(2), pages 145-148.
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