The consistency of the nearest neighbor estimator of the density function based on WOD samples

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:429

Article

Wang, Xuejun^1,2  Hu, Shuhe¹ 

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

[2] Namang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore

关键词: Nearest neighbor estimator;    WOD random variables;    Strong consistency;    Complete consistency;    Uniform consistency;   

DOI  :  10.1016/j.jmaa.2015.04.016

来源: Elsevier

【 摘 要 】

In this paper, the consistency of the nearest neighbor estimator of the density function based on widely orthant dependent (WOD, in short) samples is investigated. The convergence rate of strong consistency, the complete consistency, the uniformly complete consistency and uniformly strong consistency of the nearest neighbor estimator of the density function based on WOD samples are established. Our results established in the paper generalize or improve the corresponding ones for independent samples and some negatively dependent samples. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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