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引用本文:�ž���,Ѧ����. �������ݹ��岿������ģ�͵Ķ����ƶ��ƶϺ�������[J]. 应用概率统计, 2017, 33(4): 409-416. DOI: 10.3969/j.issn.1001-4268.2017.04.007
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Quadratic Inference Functions for Generalized Partially Linear Models with Longitudinal Data
ZHANG JingHua,XUE LiuGen. Quadratic Inference Functions for Generalized Partially Linear Models with Longitudinal Data[J]. Chinese Journal of Applied Probability and Statisties, 2017, 33(4): 409-416. DOI: 10.3969/j.issn.1001-4268.2017.04.007
Authors:ZHANG JingHua  XUE LiuGen
Affiliation:College of Applied Sciences, Beijing University of Technology; School of Information and Engineering, Jingdezhen Ceramic Institute
Abstract:In this paper, the semiparametric generalized partiallylinear models (GPLMs) for longitudinal data is studied. We approximate thenonparametric function in the GPLMs by a regression spline, and use quadraticinference functions (QIF) to take the within-cluster correlation into accountwithout involving direct estimation of nuisance parameters in the correlationmatrix. We establish the asymptotic normality of the resulting estimators.The finite sample performance of the proposed methods is evaluated throughsimulation studies and a real data analysis.
Keywords:longitudinal data  quadratic inference functions  B-spline  generalized partially linear models  
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