Shrinkage estimation of the regression parameters with multivariate normal errors
نویسندگان
1 Department of Statistics, Ferdowsi University of Mashhad, Mashhad
2 Department of Statistics, Ferdowsi University of Mashhad, Mashhad
doi
10.22067/ijnao.v1i1.622چکیده
In the linear model y=XB+e with the errors distributed as normal, we obtain generalized least square (GLS), restricted GLS (RGLS), preliminary test (PT), Stein-type shrinkage (S) and positive-rule shrinkage (PRS) estimators for regression vector parameter \beta when the covariance structure in known. We compare the quadratic risks of the underlying estimators and propose the dominance orders of the five estimators.
