On the use of the Stein variance estimator in the double k-class estimator when each individual regression coefficient is estimated

摘要

In this paper we consider the double k-class estimator which incorporates the Stein variance estimator. This estimator is called the SVKK estimator. We derive the explicit formula for the mean squared error (MSE) of the SVKK estimator for each individual regression coefficient. It is shown analytically that the MSB performance of the Stein-rule estimator for each individual regression coefficient can be improved by utilizing the Stein variance estimator. Also, MSR's of several estimators included in a family of the SVKK estimators are compared by numerical evaluations.