学术论文
Wu Liucang,Li Huiqiong,Wu Xiaokun, Jiang Shaoping
CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST.
2007, 23(3):
254-264.
Consider the variance component model $\ep Y=X\beta,\;\cov(Y)=\tsm_{i=1}^m\theta_iV_i$, where $X$: $n\times p$ and $V_i\geq0\;(i=1,2,\cdots,m)$ are known, $\beta\in R^p$, $\theta_i\geq0$ or $\theta_i>0$ $(i=1,2,\cdots,m)$ are parameters. In this paper, when $\mu(X)\subset\mu(V)$, the sufficient and necessary conditions for a linear estimable estimator of $S\beta$ to be admissible in the class of all linear estimators are given under quadratic loss function.