OPTIMUM BIASED SPRING BALANCE WEIGHING DESIGNS WITH NONHOMOGENEITY OF THE VARIANCES OF ERRORS

被引：2
|
作者：
CERANKA, B
KATULSKA, K
机构：
[1] ACAD AGR POZNAN,DEPT MATH & STAT METHODS,PL-60637 POZNAN,POLAND
[2] ADAM MICKIEWICZ UNIV,INST MATH,PL-60769 POZNAN,POLAND
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1992年 / 30卷 / 02期
关键词：
BALANCED INCOMPLETE BLOCK DESIGN; OPTIMUM BIASED SPRING BALANCE WEIGHING DESIGN;
D O I：
10.1016/0378-3758(92)90080-C
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 paper deals with the problem of estimating the individual weights of objects by using a biased spring balance weighing design with non-homogeneity of the variances of errors in the model. The lower bound for the variance of each of the estimated weights from this biased spring balance weighing design is obtained and a necessity and sufficient condition for attaining this lower bound is given. Also some optimum biased spring balance weighing designs are found.
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页码：185 / 193
页数：9
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