Berry-Esseen bound for smooth estimator of distribution function under length-biased data

R. Zamini, M. Ajami and V. Fakoor

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 5, 1800-1809

Abstract: In this paper, by using a sampling procedure, subjected to length-bias, the distribution function F is estimated by the kernel-type estimator Fns, and also a Berry-Esseen type bound for the smoothed estimator is established in this setting. Further, it is shown that the rate of the normal approximation is O(n−1/6) under some appropriate conditions.

Date: 2024
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DOI: 10.1080/03610926.2022.2112695

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