Generalized Partially Linear Measurement Error Models
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چکیده
We consider generalized partially linear measurement error models when the linear covariate is measured with additive errors. Estimators of parameter and nonparametric function obtained by local liner regression with kernel weight, the SIMEX technique, and generalized estimating equation are proposed. The asymptotic normality of the estimate of the parameter and the asymptotics of the estimate of the nonparametric component are derived. In addition, the generalization to clustered measurements is discussed. The methods are applied to the analysis of data from the Framingham Heart Study, and the ACTG 315 AIDS Study and to a simulation experiment.
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