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On the estimation of extropy

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  • Hadi Alizadeh Noughabi
  • Jalil Jarrahiferiz

Abstract

Recently, Lad, Sanfilippo, and Agro [(2015), ‘Extropy: Complementary Dual of Entropy’, Statistical Science, 30, 40–58.] showed the measure of entropy has a complementary dual, which is termed extropy. The present article introduces some estimators of the extropy of a continuous random variable. Properties of the proposed estimators are stated, and comparisons are made with Qiu and Jia’s estimators [(2018a), ‘Extropy Estimators with Applications in Testing uniformity’, Journal of Nonparametric Statistics, 30, 182–196]. The results indicate that the proposed estimators have a smaller mean squared error than competing estimators. A real example is presented and analysed.

Suggested Citation

  • Hadi Alizadeh Noughabi & Jalil Jarrahiferiz, 2019. "On the estimation of extropy," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 31(1), pages 88-99, January.
    • Handle: RePEc:taf:gnstxx:v:31:y:2019:i:1:p:88-99
    DOI: 10.1080/10485252.2018.1533133
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    Cited by:

    1. Rajesh, Richu & G., Rajesh & Sunoj, S.M., 2022. "Kernel estimation of extropy function under length-biased sampling," Statistics & Probability Letters, Elsevier, vol. 181(C).

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