On Consistency of the Nearest Neighbor Estimator of the Density Function for <i>m</i>-AANA Samples

On Consistency of the Nearest Neighbor Estimator of the Density Function for <i>m</i>-AANA Samples

In this paper, by establishing a Bernstein inequality for <i>m</i>-asymptotically almost negatively associated random variables, some results on consistency for the nearest neighbor estimator of the density function are further established. The results generalize some existing ones in th...

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Bibliographic Details
Main Authors: Xin Liu, Yi Wu, Wei Wang, Yong Zhu
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Mathematics
Subjects:
nearest neighbor estimator
weak consistency
<i>m</i>-asymptotically almost negatively associated samples
strong consistency
uniform consistency
Online Access:https://www.mdpi.com/2227-7390/11/20/4391

Internet

https://www.mdpi.com/2227-7390/11/20/4391

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