Preliminary test estimation of the mean vector under balanced loss function
M. Arashi (2009). Preliminary test estimation of the mean vector under balanced loss function. Journal of Statistical Research, Vol. 43, No. 2, pp. 55-65.
Abstract
In this paper we consider the so-called preliminary test approach under Bayesian setup. A class of shrinkage Bayes estimators is constructed and its performance is investigated under balanced loss function for some special members, with focus on preliminary test estimator. Risk analysis is then added to compare the performance of unrestricted and restricted Bayes estimators with the preliminary test estimator under balanced loss function.