文章基本信息

标题：Nonparametric Homogeneity Pursuit in Functional-Coefficient Models
本地全文：下载
作者：Jia Chen ; Degui Li ; Lingling Wei 等
期刊名称：Discussion Papers in Economics / Department of Economics, University of York
出版年度：2019
卷号：2019
页码：1-44
出版社：University of York
摘要：This paper explores the homogeneity of coefficient functions in nonlinear models with functional coefficients and identifies the underlying semiparametric modelling structure. With initial kernel estimates of coefficient functions, we combine the classic hierarchical clustering method with a generalised version of the information criterion to estimate the number of clusters, each of which has a common functional coefficient, and determine the membership of each cluster. To identify a possible semi-varying coefficient modelling framework, we further introduce a penalised local least squares method to determine zero coefficients, non-zero constant coefficients and functional coefficients which vary with an index variable. Through the nonparametric kernel-based cluster analysis and the penalised approach, we can substantially reduce the number of unknown parametric and nonparametric components in the models, thereby achieving the aim of dimension reduction. Under some regularity conditions, we establish the asymptotic properties for the proposed methods including the consistency of the homogeneity pursuit. Numerical studies, including Monte-Carlo experiments and an empirical application, are given to demonstrate the finite-sample performance of our methods.
关键词：Functional-coefficient models; Hierarchical agglomerative clustering; Homogeneity; Information criterion; Nonparametric estimation; Penalised method