In this paper, we establish the asymptotic normality of the kernel estimator for negatively dependent random variables. The kernel estimator has been widely applied for independent data. However, in practice, the data are most often dependent.

density, negatively dependent, weighted sums, asymptotic normality, kernel estimator

Received: August 23, 2024; Revised: October 3, 2024; Accepted: October 10, 2024; Published: October 17, 2024

How to cite this article: Aminata GNING, Mouhamed Mar and Saliou DIOUF, On asymptotic normality of the kernel estimator for negatively dependent random variables, Far East Journal of Theoretical Statistics 68(3) (2024), 373-383. https://doi.org/10.17654/0972086324020

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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