Title
Optimal model averaging for multivariate regression models
Abstract
In this paper, frequentist model averaging is considered in the context of a multivariate multiple regression model. We propose a weight choice criterion based on a plug-in counterpart of the quadratic risk of the model average estimator that involves an approximation of the distribution of a ratio of quadratic forms by an F distribution. We establish an asymptotic theory for the resultant model average estimator for both the general and restricted weight sets, and derive the convergence rate of the model weights to the quadratic risk-based optimal weights. The merits of our approach are illustrated by a simulation study and an application based on from the Sixth National Population Census of China.
Year
DOI
Venue
2022
10.1016/j.jmva.2021.104858
Journal of Multivariate Analysis
Keywords
DocType
Volume
62H12,62F12
Journal
189
ISSN
Citations 
PageRank 
0047-259X
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Jun Liao101.69
Alan T.K. Wan200.34
Shuyuan He300.34
Guohua Zou4125.72