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

Autor:	Qihui He
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Strong consistency Complete consistency Rate Nonparametric regression model Widely orthant dependent Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-13 (2019)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-019-2016-8
Popis:	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.
Databáze:	Directory of Open Access Journals
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