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
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 09期
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
  • [31] Filling and D-optimal Designs for the Correlated Generalized Exponential Model
    Rodriguez-Diaz, Juan M.
    Santos-Martin, Teresa
    Stehlik, Milan
    Waldl, Helmut
    MODA 9 - ADVANCES IN MODEL-ORIENTED DESIGN AND ANALYSIS, 2010, : 173 - 180
  • [32] Filling and D-optimal designs for the correlated generalized exponential models
    Rodriguez-Diaz, J. M.
    Santos-Martin, M. T.
    Waldl, H.
    Stehlik, M.
    CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 2012, 114 : 10 - 18
  • [33] D-Optimal Designs for Hierarchical Linear Models with Heteroscedastic Errors
    Liu, Xin
    Yue, Rong-Xian
    Chatterjee, Kashinath
    COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2022, 10 (04) : 669 - 679
  • [34] D-optimal designs
    deAguiar, PF
    Bourguignon, B
    Khots, MS
    Massart, DL
    PhanThanLuu, R
    CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1995, 30 (02) : 199 - 210
  • [35] D-Optimal Designs for Hierarchical Linear Models with Heteroscedastic Errors
    Xin Liu
    Rong-Xian Yue
    Kashinath Chatterjee
    Communications in Mathematics and Statistics, 2022, 10 : 669 - 679
  • [36] D-optimal weighing designs with circular string property under SLS estimation
    Al-Sudani, Abrar Z.
    M'Hallah, Rym
    Huda, Shahariar
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2025, 54 (03) : 652 - 667
  • [37] A-optimal chemical balance weighing designs with diagonal covariance matrix of errors
    Ceranka, B
    Katulska, K
    MODA6 ADVANCES IN MODEL-ORIENTED DESIGN AND ANALYSIS, 2001, : 29 - 36
  • [38] OPTIMUM BIASED SPRING BALANCE WEIGHING DESIGNS
    KATULSKA, K
    STATISTICS & PROBABILITY LETTERS, 1989, 8 (03) : 267 - 271
  • [39] ON EXACT D-OPTIMAL DESIGNS FOR REGRESSION-MODELS WITH CORRELATED OBSERVATIONS
    BISCHOFF, W
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1992, 44 (02) : 229 - 238
  • [40] Notes on D-optimal designs
    Neubauer, MG
    Watkins, W
    Zeitlin, J
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 280 (2-3) : 109 - 127
12345