文澜学术系列讲座 第 241期 山东大学经济研究院 洪少新 博士:“Optimal Local Model Averaging for Divergent-Dimensional Functional-Coefficient Regressions”

发布者:陈丹妮发布时间:2023-10-12浏览次数:444

主题|TopicOptimal Local Model Averaging for Divergent-Dimensional Functional-Coefficient Regressions

时间|Time1013(周五)10: 00-11: 30

地点|Venue:文澴楼711教室|Class Room 711WENHUAN

主讲|Speaker

洪少新,山东大学经济研究院助理研究员,主要从事计量经济学和统计学的理论和应用研究工作,具体研究方向包括非平稳时间序列分析、模型平均和高维数据统计推断等。主要工作发表于 The Econometrics Journal 和 Economics Letters 等,主持自科基金青年项目。

摘要|Abstract

This paper proposes a novel local model averaging estimator for divergent-dimensional functional-coefficient regressions, which selects optimal functional combination weights by minimizing a local leave-h-out forward-validation criterion. It is shown that the proposed leave-h-out forward-validation model averaging (FVMA) estimator is asymptotically optimal in the sense of achieving the lowest possible local squared error loss in a class of functional model averaging estimators, which is also extended to the ultra-high dimensional framework. When correctly specified models are included in the candidate model set, the proposed FVMA asymptotically assigns all varying-weights to the correctly specified models. Furthermore, a simulation study and an empirical application highlight the merits of the proposed FVMA estimator relative to a variety of popular estimators with constant model averaging weights and model selection.