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

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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.… Click to show full abstract

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.

Keywords: strong consistency; shannon entropy; length biased

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2020

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