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Activity Number: 347 - Nonparametric Hybrid Methods
Type: Contributed
Date/Time: Wednesday, August 5, 2020 : 10:00 AM to 2:00 PM
Sponsor: Section on Nonparametric Statistics
Abstract #313107
Title: Quantile Regression for Asynchronous Longitudinal Data
Author(s): Xuerui Li* and Yuanshan Wu and Yanyan Liu
Companies: University of Michigan, Ann Arbor; Wuhan University, China and Zhongnan University of Economics and Law, China and Wuhan University, China
Keywords: Quantile regression; Asynchronous longitudinal data; Kernel-smoothing; Local polynomial
Abstract:

Emergence of sparse asynchronous longitudinal data with mismatched time-dependent responses and covariates accompanying with typically skewed response in many medical re- searches has driven the recent interest in statistical regression and inference. Estimating equation works in principle, but may suffer from an efficiency loss. Considering the quan- tile regression is a powerful complement to the usual mean regression and allows skewed distribution and error heteroscedasticity, this paper proposes a kernel weighting method for explicating the mismatch under time-invariant and time-dependent coefficients quantile re- gression models. Furthermore, the asymptotic behaviors of the estimators are examined. A simulation study is carried out to illustrate the performance of the proposed. An empirical application of the model to real data further demonstrates the potential of the proposed modeling procedures.


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