Estimation in partial linear EV models with replicated observations |
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Authors: | Email author" target="_blank">Hengjian?CuiEmail author |
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Institution: | Department of Mathematics, Statistical Data Analysis Laboratory, Beijing Normal University, Beijing 100875,China |
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Abstract: | The aim of this work is to construct the parameter estimators in the partial linear errors-in-variables (EV) models and explore their asymptotic properties. Unlike other related references, the assumption of known error covariance matrix is removed when the sample can be repeatedly drawn at each designed point from the model. The estimators of interested regression parameters, and the model error variance, as well as the non-parametric function, are constructed. Under some regular conditions, all of the estimators prove strongly consistent. Meanwhile, the asymptotic normality for the estimator of regression parameter is also presented. A simulation study is reported to illustrate our asymptotic results. |
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Keywords: | partial linear EV model strong consistency replicated observations |
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