摘要
In this paper,we study the complete f-moment convergence for widely orthant dependent(WOD,for short)random variables.A general result on complete f-moment convergence for arrays of rowwise WOD random variables is obtained.As applications,we present some new results on complete f-moment convergence for WOD random variables.We also give an application to nonparametric regression models based onWOD errors by using the complete convergence that we established.Finally,the choice of the fixed design points and the weight functions for the nearest neighbor estimator are proposed,and a numerical simulation is provided to verify the validity of the theoretical result.
In this paper, we study the complete f-moment convergence for widely orthant dependent(WOD, for short) random variables. A general result on complete f-moment convergence for arrays of rowwise WOD random variables is obtained. As applications, we present some new results on complete f-moment convergence for WOD random variables. We also give an application to nonparametric regression models based on WOD errors by using the complete convergence that we established. Finally,the choice of the fixed design points and the weight functions for the nearest neighbor estimator are proposed, and a numerical simulation is provided to verify the validity of the theoretical result.
基金
Supported by the National Natural Science Foundation of China(Grant Nos.11671012,11871072,11701004 and11701005)
the Natural Science Foundation of Anhui Province(Grant Nos.1808085QA03,1908085QA01 and1908085QA07)
the Provincial Natural Science Research Project of Anhui Colleges(Grant No.KJ2019A0003)
the Project on Reserve Candidates for Academic and Technical Leaders of Anhui Province(Grant No.2017H123)
