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- Title
Efficient Estimation in Marginal Partially Linear Models for Longitudinal/Clustered Data Using Splines.
- Authors
Jianhua Z. Huang; Liangyue Zhang; Lan Zhou
- Abstract
We consider marginal semiparametric partially linear models for longitudinal/clustered data and propose an estimation procedure based on a spline approximation of the non-parametric part of the model and an extension of the parametric marginal generalized estimating equations (GEE). Our estimates of both parametric part and non-parametric part of the model have properties parallel to those of parametric GEE, that is, the estimates are efficient if the covariance structure is correctly specified and they are still consistent and asymptotically normal even if the covariance structure is misspecified. By showing that our estimate achieves the semiparametric information bound, we actually establish the efficiency of estimating the parametric part of the model in a stronger sense than what is typically considered for GEE. The semiparametric efficiency of our estimate is obtained by assuming only conditional moment restrictions instead of the strict multivariate Gaussian error assumption.
- Subjects
GENERALIZED estimating equations; SPLINES; LINEAR statistical models; STATISTICAL correlation; MECHANICAL movements; ESTIMATION theory; ANALYSIS of covariance; GAUSSIAN processes; STOCHASTIC processes
- Publication
Scandinavian Journal of Statistics, 2007, Vol 34, Issue 3, p451
- ISSN
0303-6898
- Publication type
Article
- DOI
10.1111/j.1467-9469.2006.00550.x