Constrained Minimax Estimation of the Mean of the Normal Distribution with Known Variance

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No. 2002-77 ESTIMATION OF THE MEAN OF A UNIVARIATE NORMAL DISTRIBUTION WHEN THE VARIANCE IS NOT KNOWN

Summary: We consider the problem of estimating the first k coefficients in a regression equation with k + 1 variables. For this problem with known variance of innovations, the neutral Laplace weighted-average least-squares estimator was introduced in Magnus (2002). We investigate properties of this estimator in the case where the unknown variance is estimated by least squares. We find that the ...

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ژورنال

عنوان ژورنال: The Annals of Statistics

سال: 1991

ISSN: 0090-5364

DOI: 10.1214/aos/1176348398