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On Confidence Bands for Quantiles of a Normal Population

正态总体分位数的置信带

Given the general linear regression model , where y is N X 1, X of full rank is N X (q + 1), is (q + 1) X 1, and e is N(0, σ2I), Steinhorst and Bowden [5], using the theory of Roy's maximum root test statistics, set confidence bands for , of the normal population with mean and variance σ2, k being the pth quantile of the standard normal distribution, I fixed or specified but unknown and p known. However, narrower bands may be obtained using the exact test statistic,…

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On the Exact Distributions of the Gcl Estimators in a Leading Three-Equation Case

典型三方程情形中GCL估计量的精确分布

Basmann [4] has recently obtained some results of the exact sampling distributions of the generalized classical linear (GCL) estimators of the parameters of a system of three simultaneous structural linear equations These results appear as generalizations of earlier results given by Basmann [5] for a system of two equations. Kabe [9] used the known properties of the noncentral Wishart distribution to give an alternative derivation of Basmann's results for the two-equation…

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On the Exact Distributions of the GCL Estimators in a Leading Three-Equation Case

典型三方程情形下 GCL 估计量的精确分布

Basmann [4] has recently obtained some results of the exact sampling distributions of the generalized classical linear (GCL) estimators of the parameters of a system of three simultaneous structural linear equations These results appear as generalizations of earlier results given by Basmann [5] for a system of two equations. Kabe [9] used the known properties of the noncentral Wishart distribution to give an alternative derivation of Basmann's results for the two-equation…

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A Note on the Exact Distributions of the Gcl Estimators in Two Leading over Identified Cases

两个主要过度识别情形下GCL估计量精确分布的说明

Basmann [3] has recently given the exact sampling distributions of the generalized classical linear (GCL) estimators of the parameters of a system of two simultaneous structural equations. In view of the importance of the GCL estimators in econometric statistics, a less intricate derivation by using formulae that might be more widely known to statisticians and econometricians, might be useful.

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A Note on the Exact Distributions of the GCL Estimators in Two Leading Over Identified Cases

两类典型过度识别情形中 GCL 估计量精确分布的注记

Basmann [3] has recently given the exact sampling distributions of the generalized classical linear (GCL) estimators of the parameters of a system of two simultaneous structural equations. In view of the importance of the GCL estimators in econometric statistics, a less intricate derivation by using formulae that might be more widely known to statisticians and econometricians, might be useful.

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