Admissible linear estimators with respect to inequality constraints

作者:Lu Chang Yu*; Wu Jian Hong; Zhang Bin Yan
来源:Communications in Statistics - Theory and Methods, 2007, 36(5): 961-966.
DOI:10.1080/03610920601041689

摘要

Admissibility of linear estimators is characterized in linear models E(Y) = X beta, D(Y) = V, with an unknown multidimensional parameter (beta, V) varying in the Cartesian product C x nu, where C is a subset of space and nu is a given set of non negative definite symmetric matrices. The relation between admissibility of inhomogeneous and homogeneous linear estimators is discussed, and some sufficient and necessary conditions for admissibility of an inhomogeneous linear estimator are given.