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- Title
MOMENT CONVERGENCE RATE OF ESTIMATORS IN PARTIALLY LINEAR MODELS UNDER AANA ERRORS.
- Authors
LINGLING HE; XIAOQIN LI; YAN SHEN; QIUYUE WU
- Abstract
In this paper, we investigate the partially linear regression model based on asymptotically almost negatively associated (AANA) random variables. Under some weak conditions, some results of moment convergence and complete convergence are obtained for the parametric least squares estimator and nonparametric weighted estimator. Our results extend the corresponding ones for negatively associated (NA) errors to AANA errors. In addition, we discuss the selection of design points and weight functions. Last, some simulations are illustrated to show the performance of our results.
- Subjects
RANDOM variables; STOCHASTIC convergence; LEAST squares; REGRESSION analysis; MATHEMATICAL models
- Publication
Journal of Mathematical Inequalities, 2023, Vol 17, Issue 3, p969
- ISSN
1846-579X
- Publication type
Article
- DOI
10.7153/jmi-2023-17-62