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Kernel estimation of extropy function under length-biased sampling

Richu Rajesh, Rajesh G. and S.M. Sunoj

Statistics & Probability Letters, 2022, vol. 181, issue C

Abstract: In this article, we address the problem of nonparametric kernel estimators of extropy function under length-biased sampling. The large sample properties of the proposed estimators namely, the consistency and asymptotic normality are verified under suitable regularity conditions. In addition, the finite sample behaviour of the proposed estimators is investigated via a simulation study. Application to real data is also reported.

Keywords: Extropy; Length-biased sample; Kernel estimation; Root mean squared error (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2021.109290

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