Regular D-optimal spring balance weighing designs with correlated errors

被引:0
|
作者
Graczyk, Malgorzata [1 ]
Ceranka, Bronislaw [1 ]
机构
[1] Poznan Univ Life Sci, Dept Math & Stat Methods, Poznan, Poland
关键词
Criterion of D-optimality; optimal design; spring balance weighing design; J-SIMPLICES;
D O I
10.1080/03610926.2022.2154128
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 problems linked with D-optimal spring balance weighing designs under assumption the measurements errors are correlated are discussed. The upper bound of the determinant of the information matrix of estimators is given and the conditions for this upper bound to be attained are proved. The examples of the regular D-optimal spring balance weighing designs are presented.
引用
收藏
页码:3425 / 3433
页数:9
相关论文
共 50 条
  • [21] A-optimal chemical balance weighing design with correlated errors
    Ceranka B.
    Graczyk M.
    Journal of Applied Mathematics and Computing, 2004, 16 (1-2) : 143 - 150
  • [22] Marginally restricted D-optimal designs for correlated observations
    Lopez-Fidalgo, J.
    Martin-Martin, R.
    Stehlik, M.
    JOURNAL OF APPLIED STATISTICS, 2008, 35 (06) : 617 - 632
  • [23] Pseudo-Bayesian D-optimal designs for longitudinal Poisson mixed models with correlated errors
    Jiang, Hong-Yan
    Yue, Rong-Xian
    COMPUTATIONAL STATISTICS, 2019, 34 (01) : 71 - 87
  • [24] Pseudo-Bayesian D-optimal designs for longitudinal Poisson mixed models with correlated errors
    Hong-Yan Jiang
    Rong-Xian Yue
    Computational Statistics, 2019, 34 : 71 - 87
  • [25] D-optimal (0,1)-weighing designs for eight objects
    Neubauer, Michael G.
    Pace, Richard G.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (10) : 2634 - 2657
  • [26] ON THE OPTIMALITY OF SPRING BALANCE WEIGHING DESIGNS
    JACROUX, M
    NOTZ, W
    ANNALS OF STATISTICS, 1983, 11 (03): : 970 - 978
  • [27] A-Optimal Spring Balance Weighing Designs Under Some Conditions
    Graczyk, Malgorzata
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (13-14) : 2386 - 2393
  • [28] ROBUSTNESS OPTIMAL SPRING BALANCE WEIGHING DESIGNS FOR ESTIMATION TOTAL WEIGHT
    Ceranka, Bronislaw
    Graczyk, Malgorzata
    KYBERNETIKA, 2011, 47 (06) : 902 - 908
  • [29] D-optimal (0,1)-weighing designs for 10 objects
    Lopez, Eloy A.
    Neubauer, Michael G.
    LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (02): : 151 - 171
  • [30] OPTIMUM BIASED SPRING BALANCE WEIGHING DESIGNS UNDER EQUAL CORRELATIONS OF ERRORS
    CERANKA, B
    KATULSKA, K
    BIOMETRICAL JOURNAL, 1990, 32 (08) : 931 - 942