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 23 条
  • [1] Banerjee K., 1975, WEIGHING DESIGNS CHE
  • [2] Beckman R.J., 1973, COMMUN STAT, V1, P561, DOI [10.1080/03610927308827049, DOI 10.1080/03610927308827049]
  • [3] Recent developments in D-optimal designs
    Ceranka, B.
    Graczyk, M.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (06) : 1470 - 1480
  • [4] APPLICATION OF THE BIASED SPRING BALANCE WEIGHING DESIGN THEORY TO ESTIMATION OF DIFFERENCES OF LINE EFFECTS FOR LEGUME CONTENT
    CERANKA, B
    KATULSKA, K
    [J]. BIOMETRICAL JOURNAL, 1989, 31 (01) : 103 - 110
  • [5] Ceranka B., 2014, ACTA U LODZIENSIS FO, V302, P111
  • [6] Ceranka B., 2009, BIOMETRICAL LETT, P103, DOI DOI 10.1515/bile-2017-0008
  • [7] Graczyk M., 2021, BIOMETRICAL LETT, V58, P159, DOI [10.2478/bile-2021-0012, DOI 10.2478/BILE-2021-0012]
  • [8] Recent accomplishments in weighing designs
    Graczyk, Malgorzata
    Ceranka, Bronislaw
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (21) : 5013 - 5021
  • [9] A-Optimal Spring Balance Weighing Designs Under Some Conditions
    Graczyk, Malgorzata
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (13-14) : 2386 - 2393
  • [10] Hudelson M, 1996, LINEAR ALGEBRA APPL, V243, P519