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http://hdl.handle.net/2183/863

Asymptotic properties of Local Polynomial regression with missing data and correlated errors

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Pérez González, A.
González Manteiga, Wenceslao

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Aparecerá en Annals of the Institute of Statistical Mathematics

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The main objective of this work is the nonparametric estimation of the regression function with correlated errors when observations are missing in the response variable. Two nonparametric estimators of the regression function are proposed. The asymptotic properties of these estimators are studied; expresions for the bias and the variance are obtained and the joint asymptotic normality is established. A simulation study is also included.

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