Statistical estimation in varying coefficient models

J Fan, W Zhang - The annals of Statistics, 1999 - projecteuclid.org
Varying coefficient models are a useful extension of classical linear models. They arise
naturally when one wishes to examine how regression coefficients change over different …

Efficient estimation and inferences for varying-coefficient models

Z Cai, J Fan, R Li - Journal of the American Statistical Association, 2000 - Taylor & Francis
This article deals with statistical inferences based on the varying-coefficient models
proposed by Hastie and Tibshirani. Local polynomial regression techniques are used to …

Varying‐coefficient models and basis function approximations for the analysis of repeated measurements

JZ Huang, CO Wu, L Zhou - Biometrika, 2002 - academic.oup.com
A global smoothing procedure is developed using basis function approximations for
estimating the parameters of a varying‐coefficient model with repeated measurements …

Adaptive varying-coefficient linear models

J Fan, Q Yao, Z Cai - Journal of the Royal Statistical Society …, 2003 - academic.oup.com
Varying-coefficient linear models arise from multivariate nonparametric regression, non-
linear time series modelling and forecasting, functional data analysis, longitudinal data …

Varying coefficient regression models: a review and new developments

BU Park, E Mammen, YK Lee… - International Statistical …, 2015 - Wiley Online Library
Varying coefficient regression models are known to be very useful tools for analysing the
relation between a response and a group of covariates. Their structure and interpretability …

The effect of covariance structure on variance estimation in balanced growth-curve models with random parameters

N Lange, NM Laird - Journal of the American Statistical Association, 1989 - Taylor & Francis
Intuition suggests that altering the covariance structure of a parametric model for repeated-
measures data alters the variances of the model's estimated mean parameters. The purpose …

[HTML][HTML] Statistical methods with varying coefficient models

J Fan, W Zhang - Statistics and its Interface, 2008 - ncbi.nlm.nih.gov
The varying coefficient models are very important tool to explore the dynamic pattern in
many scientific areas, such as economics, finance, politics, epidemiology, medical science …

Variable selection in nonparametric varying-coefficient models for analysis of repeated measurements

L Wang, H Li, JZ Huang - Journal of the American Statistical …, 2008 - Taylor & Francis
Nonparametric varying-coefficient models are commonly used for analyzing data measured
repeatedly over time, including longitudinal and functional response data. Although many …

16 Varying coefficient regression

DF Nicholls, AR Pagan - Handbook of statistics, 1985 - Elsevier
Very early on in the development of methods for the analysis of time series and the
relationships between time series, it was recognized that techniques based upon constant …

Quantile regression in varying coefficient models

T Honda - Journal of statistical planning and inference, 2004 - Elsevier
This paper deals with the estimation of conditional quantiles in varying coefficient models by
estimating the coefficients. Varying coefficient models are among popular models that have …