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The residual extropy of order statistics

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  • Qiu, Guoxin
  • Jia, Kai

Abstract

Residual extropy was proposed to measure residual uncertainty of a random variable. Monotone properties and characterization results of this measure were studied. Similar properties of the proposed measure of order statistics were also discussed.

Suggested Citation

  • Qiu, Guoxin & Jia, Kai, 2018. "The residual extropy of order statistics," Statistics & Probability Letters, Elsevier, vol. 133(C), pages 15-22.
    • Handle: RePEc:eee:stapro:v:133:y:2018:i:c:p:15-22
    DOI: 10.1016/j.spl.2017.09.014
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    References listed on IDEAS

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    1. Furuichi, Shigeru & Mitroi, Flavia-Corina, 2012. "Mathematical inequalities for some divergences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 388-400.
    2. Qiu, Guoxin, 2017. "The extropy of order statistics and record values," Statistics & Probability Letters, Elsevier, vol. 120(C), pages 52-60.
    3. Gneiting, Tilmann & Raftery, Adrian E., 2007. "Strictly Proper Scoring Rules, Prediction, and Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 359-378, March.
    4. Park, Sangun, 1999. "A goodness-of-fit test for normality based on the sample entropy of order statistics," Statistics & Probability Letters, Elsevier, vol. 44(4), pages 359-363, October.
    5. Asadi, Majid & Ebrahimi, Nader, 2000. "Residual entropy and its characterizations in terms of hazard function and mean residual life function," Statistics & Probability Letters, Elsevier, vol. 49(3), pages 263-269, September.
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    Cited by:

    1. Kayid, Mohamed, 2024. "Further results involving residual and past extropy with their applications," Statistics & Probability Letters, Elsevier, vol. 214(C).
    2. Nair, R. Dhanya & Sathar, E.I. Abdul, 2023. "Some useful results related to various measures of extropy and their interrelationship," Statistics & Probability Letters, Elsevier, vol. 193(C).
    3. Islam A. Husseiny & Metwally A. Alawady & Salem A. Alyami & Mohamed A. Abd Elgawad, 2023. "Measures of Extropy Based on Concomitants of Generalized Order Statistics under a General Framework from Iterated Morgenstern Family," Mathematics, MDPI, vol. 11(6), pages 1-17, March.
    4. Hadi Alizadeh Noughabi & Reza Alizadeh Noughabi, 2025. "On the Estimation of Relative Extropy and its Application in Goodness of Fit Tests," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 87(2), pages 650-685, November.
    5. Jose, Jitto & Abdul Sathar, E.I., 2019. "Residual extropy of k-record values," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 1-6.
    6. Mohamed A. Abd Elgawad & Haroon M. Barakat & Metwally A. Alawady & Doaa A. Abd El-Rahman & Islam A. Husseiny & Atef F. Hashem & Naif Alotaibi, 2023. "Extropy and Some of Its More Recent Related Measures for Concomitants of K -Record Values in an Extended FGM Family," Mathematics, MDPI, vol. 11(24), pages 1-25, December.
    7. Kattumannil, Sudheesh K. & E.P., Sreedevi, 2022. "Non-parametric estimation of cumulative (residual) extropy," Statistics & Probability Letters, Elsevier, vol. 185(C).
    8. Radhakumari Maya & Archana Krishnakumar & Muhammed Rasheed Irshad & Christophe Chesneau, 2025. "Estimation of Weighted Extropy Under the α -Mixing Dependence Condition," Stats, MDPI, vol. 8(2), pages 1-18, May.
    9. M. Hashempour & M. Mohammadi & S. M. A. Jahanshahi & A. H. Khammar, 2024. "Modified Cumulative Extropies of Doubly Truncated Random Variables," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(2), pages 558-585, November.
    10. Morteza Mohammadi & Majid Hashempour, 2024. "On weighted version of dynamic cumulative residual inaccuracy measure based on extropy," Statistical Papers, Springer, vol. 65(7), pages 4599-4629, September.
    11. E. I. Abdul Sathar & Veena L. Vijayan, 2026. "Quantile-Based Cumulative Past Extropy of Record Values," Methodology and Computing in Applied Probability, Springer, vol. 28(1), pages 1-33, March.
    12. Majid Hashempour & Morteza Mohammadi & Osman Kamari, 2025. "On weighted version of dynamic residual inaccuracy measure using extropy in order statistics with applications in model selection," Statistical Papers, Springer, vol. 66(4), pages 1-28, June.

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