Estimation of the mean of a univariate normal distribution when the variance is not known

被引:10
作者
Danilov, D [1 ]
机构
[1] Tech Univ Eindhoven, EURANDOM, NL-5600 MB Eindhoven, Netherlands
关键词
regression; pretest; laplace estimator;
D O I
10.1111/j.1368-423X.2005.00164.x
中图分类号
F [经济];
学科分类号
02 ;
摘要
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 generalize this estimator to the case where the unknown variance is estimated by least squares and find that main properties of the Laplace estimator only change marginally. Therefore we recommend the neutral Laplace estimator to be used in practice.
引用
收藏
页码:277 / 291
页数:15
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