https://orcid.org/0000-0001-6710-2798
![Sample our Computer Science journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5928/TOC-Subject-Sample-2021-Computer-Science.jpg"})
ABSTRACT
In this paper, based on the properties of slowly varying functions and the de Bruijn conjugates, we establish general results on complete moment convergence for randomly weighted sums of m-asymptotic negatively associated random variables. These results are applied to the bootstrap sample means and nonparametric regression models with random design. Simulations to study the numerical performance of the consistency for the nearest neighbour weight function estimator in non parametric regression model with random design and bootstrap sample means are given.
Acknowledgments
The authors would like to express their deep thanks to anonymous referees for their useful comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This work was supported by the Vietnam Ministry of Education and Training (MOET) [grant number B2020-DNA-9].