ESTIMATION OF A COMMON MULTIVARIATE NORMAL-MEAN VECTOR

被引:2
|
作者
KRISHNAMOORTHY, K [1 ]
机构
[1] TEMPLE UNIV,DEPT STAT,PHILADELPHIA,PA 19122
关键词
COMMON MEAN VECTOR; UNBIASED ESTIMATOR; WISHART AND NONCENTRAL WISHART DISTRIBUTIONS;
D O I
10.1007/BF00121653
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Let X1,...,X(N) be independent observations from N(p)(mu,SIGMA-1) and Y1,...,Y(N) be independent observations from N(p) (mu,SIGMA-2). Assume that X(i)'s and Y(i)'s are independent. An unbiased estimator of mu-which dominates the sample mean XBAR for p greater-than-or-equal-to 1 under the loss function L(mu,mu) = (mu - mu)'SIGMA(1)-1(mu - mu) is suggested. The exact risk (under L) of the new estimator is also evaluated.
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页码:761 / 771
页数:11
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