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Weighted least squares estimation with missing responses: an empirical likelihood approach. (English) Zbl 1336.62092
Summary: A heteroscedastic linear regression model is considered where responses are allowed to be missing at random. An estimator is constructed that matches the performance of the weighted least squares estimator without the knowledge of the conditional variance function. This is usually done by constructing an estimator of the variance function. Our estimator is a maximum empirical likelihood estimator based on an increasing number of estimated constraints and avoids estimating the variance function.

62F12 Asymptotic properties of parametric estimators
62G05 Nonparametric estimation
62J05 Linear regression; mixed models
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