Next Article in Journal
Path Planning Algorithm for Dual-Arm Robot Based on Depth Deterministic Gradient Strategy Algorithm
Previous Article in Journal
An Improved Multi-Objective Particle Swarm Optimization-Based Hybrid Intelligent Algorithm for Index Screening of Underwater Manned/Unmanned Cooperative System of Systems Architecture Evaluation
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Mathematics
Volume 11
Issue 20
10.3390/math11204391
mathematics-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

On Consistency of the Nearest Neighbor Estimator of the Density Function for m-AANA Samples

by
Xin Liu
,
Yi Wu
,
Wei Wang
and
Yong Zhu
*
Center of Applied Mathematics, School of Big Data and Artificial Intelligence, Chizhou University, Chizhou 247000, China
*
Author to whom correspondence should be addressed.
Mathematics 2023, 11(20), 4391; https://doi.org/10.3390/math11204391
Submission received: 19 September 2023 / Revised: 13 October 2023 / Accepted: 19 October 2023 / Published: 23 October 2023
Browse Figures
Versions Notes

Abstract

In this paper, by establishing a Bernstein inequality for m-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 the literature. Some numerical simulations are also provided to support the results.
Keywords: nearest neighbor estimator; weak consistency; m-asymptotically almost negatively associated samples; strong consistency; uniform consistency nearest neighbor estimator; weak consistency; m-asymptotically almost negatively associated samples; strong consistency; uniform consistency

Share and Cite

MDPI and ACS Style

Liu, X.; Wu, Y.; Wang, W.; Zhu, Y. On Consistency of the Nearest Neighbor Estimator of the Density Function for m-AANA Samples. Mathematics 2023, 11, 4391. https://doi.org/10.3390/math11204391

AMA Style

Liu X, Wu Y, Wang W, Zhu Y. On Consistency of the Nearest Neighbor Estimator of the Density Function for m-AANA Samples. Mathematics. 2023; 11(20):4391. https://doi.org/10.3390/math11204391

Chicago/Turabian Style

Liu, Xin, Yi Wu, Wei Wang, and Yong Zhu. 2023. "On Consistency of the Nearest Neighbor Estimator of the Density Function for m-AANA Samples" Mathematics 11, no. 20: 4391. https://doi.org/10.3390/math11204391

APA Style

Liu, X., Wu, Y., Wang, W., & Zhu, Y. (2023). On Consistency of the Nearest Neighbor Estimator of the Density Function for m-AANA Samples. Mathematics, 11(20), 4391. https://doi.org/10.3390/math11204391

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop