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STRONG CONSISTENCY OF M-ESTIMATES OF MULTIPLE REGRESSION COEFFICIENTS
Linear regression M-estimate strong co
2007/12/17
In the case where ρ is convex we give a set of sufficient conditions for the strong consistency of M-estimate of multiple regression coefficients.
EXISTENCE OF CONSISTENT ESTIMATES OF LINEAR REGRESSION COEFFICIENTS WHEN THE ERROR VARIANCES ARE UNEQUAL
Linear regression model consistency
2007/12/10
摘要 Consider the linear regression model Y_i=x_i′β+σ_ie_i,i=1,…,n,…, where E(e_i)=0, E(e_ie_j)=δ_(ij), 00. This paper shows that (i) if σ_i~2,i=1,2…, are known, then the necessary and sufficient condit...
For the general fixed effects linear model: Y=Xτ+ε,ε～N(0,V)(or N(0,σ~2V)), V≥0, we obtain the necessary and sufficient condition for LY+α to be admissible for Sτ in the class of all estimators under m...
ALL ADMISSIBLE LINEAR ESTIMATES OF REGRESSION COEFFICIENTS UNDER MATRIX LOSS
Admissibility matrix loss function lin
2007/8/7
The necessary and sufficient conditions for a linear estimator of a linear estimable function of regression coefficients in a general fixed effects linear model with the assumptions of normality to be...