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On Cumulative Entropies in Terms of Moments of Order Statistics

Author

Listed:
  • Narayanaswamy Balakrishnan

    (McMaster University)

  • Francesco Buono

    (Università degli Studi di Napoli Federico II)

  • Maria Longobardi

    (Università degli Studi di Napoli Federico II)

Abstract

In this paper, relations between some kinds of cumulative entropies and moments of order statistics are established. By using some characterizations and the symmetry of a non-negative and absolutely continuous random variable X, lower and upper bounds for entropies are obtained and illustrative examples are given. By the relations with the moments of order statistics, a method is shown to compute an estimate of cumulative entropies and an application to testing whether data are exponentially distributed is outlined.

Suggested Citation

  • Narayanaswamy Balakrishnan & Francesco Buono & Maria Longobardi, 2022. "On Cumulative Entropies in Terms of Moments of Order Statistics," Methodology and Computing in Applied Probability, Springer, vol. 24(1), pages 345-359, March.
    • Handle: RePEc:spr:metcap:v:24:y:2022:i:1:d:10.1007_s11009-021-09850-0
    DOI: 10.1007/s11009-021-09850-0
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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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    Cited by:

    1. Yu, Zihan & Deng, Yong, 2022. "Derive power law distribution with maximum Deng entropy," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Jorge Navarro & Francesco Buono & Jorge M. Arevalillo, 2023. "A New Separation Index and Classification Techniques Based on Shannon Entropy," Methodology and Computing in Applied Probability, Springer, vol. 25(4), pages 1-24, December.
    3. Fatimah E. Almuhayfith & Mahfooz Alam & Hassan S. Bakouch & Sudeep R. Bapat & Olayan Albalawi, 2024. "Linear Combination of Order Statistics Moments from Log-Extended Exponential Geometric Distribution with Applications to Entropy," Mathematics, MDPI, vol. 12(11), pages 1-15, June.

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