Kernel estimation of entropy function under length-biased sampling

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

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 24, 8684-8693

Abstract: In this paper, we propose nonparametric kernel estimators for Shannon differential entropy function under length-biased sampling. Asymptotic properties of the estimators are established under suitable regularity conditions. A simulation study is accomplished to compare the performance of proposed estimators. The usefulness of the estimators are also examined using a real data.

Date: 2022
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DOI: 10.1080/03610926.2021.1904987

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