On certain A-optimal chemical balance weighing designs

被引：6
|
作者：
Ceranka, B.
Graczyk, M.
Katulska, K.
机构：
[1] Acad Agr Poznan, Dept Math & Stat Methods, PL-60637 Poznan, Poland
[2] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2007年 / 51卷 / 12期
关键词：
A-optimal chemical balance weighing design;
D O I：
10.1016/j.csda.2006.10.021
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The estimation problem of individual weights of objects in the chemical balance weighing design using the criterion of A-optimality is studied. It is assumed that errors are correlated and have the same variances. The lower bound of the trace of the variance matrix of estimators is obtained and the necessary and sufficient conditions for this lower bound to be attained are proved. Some construction methods are given. (C) 2006 Elsevier B.V. All rights reserved.
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页码：5821 / 5827
页数：7
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