Estimation for Varying Coefficient Models with Hierarchical Structure

Efficient Estimation in Heteroscedastic Varying Coefficient Models

This paper considers statistical inference for the heteroscedastic varying coefficient model. We propose an efficient estimator for coefficient functions that is more efficient than the conventional local-linear estimator. We establish asymptotic normality for the proposed estimator and conduct some simulation to illustrate the performance of the proposed method.

Efficient estimation and inferences for varying-coefficient models

Generalized Varying-Coefficient Models

This paper deals with statistical inferences based on the generalized varying-coeÆcient models proposed by Hastie and Tibshirani (1993). Local polynomial regression techniques are used to estimate coeÆcient functions and the asymptotic normality of the resulting estimators is established. The standard error formulas for estimated coeÆcients are derived and are empirically tested. A goodness-oft...

Varying Index Coefficient Models

It has been a long history of using interactions in regression analysis to investigate alterations in covariate-effects on response variables. In this article, we aim to address two kinds of new challenges arising from the inclusion of such high-order effects in the regression model for complex data. The first kind concerns a situation where interaction effects of individual covariates are weak...

Nonparametric estimation of fixed effects panel data varying coefficient models

JEL classification: C14 C23 AMS subject classifications: 62G08 62G20 62P20 Keywords: Varying coefficient models Fixed effects Panel data Local linear regression Oracle efficient estimator Within estimator Profile least squares estimator a b s t r a c t In this paper, we consider the nonparametric estimation of a varying coefficient fixed effect panel data model. The estimator is based in a with...