Consistency of the Priestley–Chao estimator in nonparametric regression model with widely orthant dependent errors

Journal of Inequalities and Applications

Qihui He¹ 

[1] Department of Foundational Teaching, Anhui Institute of Economic Management;

关键词: Strong consistency;    Complete consistency;    Rate;    Nonparametric regression model;    Widely orthant dependent;   

DOI  :  10.1186/s13660-019-2016-8

来源: DOAJ

【 摘 要 】

Abstract In this paper, we establish the strong consistency and complete consistency of the Priestley–Chao estimator in nonparametric regression model with widely orthant dependent errors under some general conditions. We also obtain the rates of strong consistency and complete consistency. We show that the rates can approximate to O(n−1/3) $O(n^{-1/3})$ under appropriate conditions. The results obtained in the paper improve or extend the corresponding ones to widely orthant dependent assumptions.

【 授权许可】

Unknown