On the estimation of extropy

Hadi Alizadeh Noughabi and Jalil Jarrahiferiz

Journal of Nonparametric Statistics, 2019, vol. 31, issue 1, 88-99

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.

Date: 2019
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DOI: 10.1080/10485252.2018.1533133

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