应数学与统计学院邀请,美国加州大学河滨分校(University of California, Riverside)副教授Shujie Ma博士将于近期来我校进行学术访问,并做学术报告。
时间:7月23日下午4:00
地点:理科楼202
题目:Two-step spline estimation equations for generalized additive partially linear models with large cluster sizes
报告摘要:In this talk, I will introduce a two-step estimating procedure for generalized additive partially linear models with clustered data using estimating equations. Our proposed method applies to the case that the number of observations per cluster is allowed to increase with the number of independent subjects. We establish oracle properties for the two-step estimator of each function component such that it performs as well as the univariate function estimator by assuming that the parametric vector and all other function components are known. Asymptotic distributions and consistency properties of the estimators are obtained. Finite-sample experiments with both simulated continuous and binary response variables confirm the asymptotic results. We illustrate the methods with an application to a U.S. unemployment data set.
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