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The Heteroscedastic Linear Model: Exact Finite Sample Results
William E. Taylor
Abstract
For the two sample linear heteroscedastic regression model, moments of a popular two stage Aitken estimator are derived analytically. Even for small samples and/or near homoscedastic errors, the two stage procedure is surprisingly efficient relative to both unweighted least squares and the Gauss-Markov estimator. These exact results are compared with the author's previous calculations derived from Nagar approximations.
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