A note on the strong consistency of nonparametric estimation of Shannon entropy in length-biased sampling

Farzaneh Oliazadeh, Anis Iranmanesh and Vahid Fakoor

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 24, 5779-5791

Abstract: In this article, we propose an estimator of Shannon entropy based on kernel estimators of density function in length-biased setting. The strong consistency of the proposed estimators is established. In addition, some simulations are conducted to evaluate the performance of the proposed estimator.

Date: 2021
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DOI: 10.1080/03610926.2020.1737123

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