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On cumulative residual entropy of order statistics

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  • Park, Sangun
  • Kim, Ilmun

Abstract

Cumulative residual entropy has been proposed by Rao et al. (2004). In this paper, we first show a representation of the cumulative residual entropy of the first r order statistics as a single integral. Then we provide some related results including recurrence relations, identity and characterization property.

Suggested Citation

  • Park, Sangun & Kim, Ilmun, 2014. "On cumulative residual entropy of order statistics," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 170-175.
    • Handle: RePEc:eee:stapro:v:94:y:2014:i:c:p:170-175
    DOI: 10.1016/j.spl.2014.07.020
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    References listed on IDEAS

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    1. Theil, Henri, 1980. "The entropy of the maximum entropy distribution," Economics Letters, Elsevier, vol. 5(2), pages 145-148.
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    Cited by:

    1. 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.
    2. Mao, Xuegeng & Shang, Pengjian & Wang, Jianing & Yin, Yi, 2020. "Fractional cumulative residual Kullback-Leibler information based on Tsallis entropy," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

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