Abstract
In this paper, we mainly study the consistency of the nearest neighbor estimator of the density function based on m-extended negatively dependent samples. The weak consistency, strong consistency, uniformly strong consistency and the convergence rate are established under some mild conditions. The results obtained in this paper extend and improve some existing ones in the literature.
Funding Statement
The research is supported by the Natural Science Foundation of Anhui Province (2108085QA15), the Key Research Project of Chizhou University (CZ2019ZRZ003), the PhD Research Initiation Fund Project of Chizhou University (2020YJRC003).
Acknowledgments
The authors are most grateful to the Editor-in-Chief and anonymous referees for carefully reading the manuscript and valuable suggestions which helped in improving an earlier version of this paper.
Citation
Wei Wang. Yi Wu. "Consistency of nearest neighbor estimator of density function for m-END samples." Braz. J. Probab. Stat. 36 (2) 369 - 384, June 2022. https://doi.org/10.1214/22-BJPS530
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