Stein-Rule Estimation under an Extended Balanced Loss Function

---, Shalabh; Toutenburg, Helge and Heumann, Christian (10. December 2007): Stein-Rule Estimation under an Extended Balanced Loss Function. Department of Statistics: Technical Reports, No.7

Abstract

This paper extends the balanced loss function to a more general set up. The ordinary least squares and Stein-rule estimators are exposed to this general loss function with quadratic loss structure in a linear regression model. Their risks are derived when the disturbances in the linear regression model are not necessarily normally distributed. The dominance of ordinary least squares and Stein-rule estimators over each other and the effect of departure from normality assumption of disturbances on the risk property is studied.

• Item Type: Paper
• Form of publication: Submitted Version
• Keywords: Linear regression model, Stein-rule estimator, ordinary least squares estimator, balanced loss function, non-normal disturbances
• Faculties: Mathematics, Computer Science and Statistics > Statistics > Technical Reports
• Language: English