Robustness of Optimal Chemical Balance Weighing Designs for Estimation of Total Weight

被引：2

作者：

Ceranka, Bronislaw ^{[1
]}

Graczyk, Malgorzata ^{[1
]}

机构：

[1] Poznan Univ Life Sci, Dept Math & Stat Methods, PL-60637 Poznan, Poland

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2012年 / 41卷 / 13-14期

关键词：

Balanced incomplete block design; Chemical balance weighing design; Robustness; Total weight;

D O I：

10.1080/03610926.2011.645986

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：

The subject of our study is the chemical balance weighing design in which the errors are correlated and have equal variances. A lower bound for the variance of estimated total weight is obtained and the necessary and sufficient conditions for the attainability of this lower bound are given. Some designs for which the lower bound is attainable are considered.

引用

页码：2297 / 2304

页数：8

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