CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2014, 30(2) 151-168 DOI:      ISSN: 1001-4268 CN: 31-1256

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Quadratic Inference Function Estimation in Partially Linear Measurement Error Models with Longitudinal Data

Li Haibin, Tian Ruiqin, Li Gaorong

College of Applied Sciences, Beijing University of Technology

Abstract��

In this paper, we focus on the estimation
for the marginal semiparametric partially linear models with longitudinal
data when some covariates are measured with additive errors. We first
approximate the nonparametric part of the model based on the B-splines
and a new bias-corrected estimation procedure is proposed based on the
quadratic inference functions (QIF). Under some regularity conditions,
we show that the QIF estimator is consistent and asymptotically normal.
Extensive simulation studies and an application are conducted to examine
the finite sample performance of the proposed estimation procedure.

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