A-optimal biased spring balance weighing design
Kybernetika (2011)
- Volume: 47, Issue: 6, page 893-901
- ISSN: 0023-5954
Access Full Article
top
Abstract
topHow to cite
topGraczyk, Małgorzata. "A-optimal biased spring balance weighing design." Kybernetika 47.6 (2011): 893-901. <http://eudml.org/doc/196910>.
@article{Graczyk2011,
abstract = {In this paper we study the problem of estimation of individual measurements of objects in a biased spring balance weighing design under assumption that the errors are uncorrelated and they have different variances. The lower bound for the variance of each of the estimated measurements for this design and the necessary and sufficient conditions for this lower bound to be attained are given. The incidence matrices of the balanced incomplete block designs are used for construction of the A-optimal biased spring balance weighing design.},
author = {Graczyk, Małgorzata},
journal = {Kybernetika},
keywords = {A-optimal design; biased design; spring balance weighing design; A-optimal design; biased design; spring balance weighing design},
language = {eng},
number = {6},
pages = {893-901},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A-optimal biased spring balance weighing design},
url = {http://eudml.org/doc/196910},
volume = {47},
year = {2011},
}
TY - JOUR
AU - Graczyk, Małgorzata
TI - A-optimal biased spring balance weighing design
JO - Kybernetika
PY - 2011
PB - Institute of Information Theory and Automation AS CR
VL - 47
IS - 6
SP - 893
EP - 901
AB - In this paper we study the problem of estimation of individual measurements of objects in a biased spring balance weighing design under assumption that the errors are uncorrelated and they have different variances. The lower bound for the variance of each of the estimated measurements for this design and the necessary and sufficient conditions for this lower bound to be attained are given. The incidence matrices of the balanced incomplete block designs are used for construction of the A-optimal biased spring balance weighing design.
LA - eng
KW - A-optimal design; biased design; spring balance weighing design; A-optimal design; biased design; spring balance weighing design
UR - http://eudml.org/doc/196910
ER -
References
top- Banerjee, K. S., Weighing Designs for Chemistry, Medicine, Economics, Operations Research, Statistics, Marcel Dekker Inc., New York 1975. (1975) Zbl0334.62030MR0458751
- Ceranka, B., Katulska, K., 10.1016/0378-3758(92)90080-C, J. Statist. Plann. Inference 30 (1992), 185–193. (1992) MR1157759DOI10.1016/0378-3758(92)90080-C
- Ceranka, B., Katulska, K., A-optimal chemical balance weighing designs with diagonal covariance matrix of errors, In: MODA 6 (A. C. Atkinson, P. Hackl, W. G. Muller, eds.), Physica, Heidelberg 2001, pp. 29–36. (2001) MR1865143
- Ceranka, B., Graczyk, M., Katulska, K., 10.1016/j.spl.2005.09.012, Statist. Probab. Lett. 76 (2006), 653–665. (2006) Zbl1090.62074MR2234783DOI10.1016/j.spl.2005.09.012
- Pukelsheim, F., Optimal Design of Experiment, John Wiley and Sons, New York 1993. (1993) MR1211416
- Raghavarao, D., Constructions and Combinatorial Problems in Designs of Experiments, John Wiley Inc., New York 1971. (1971) MR0365935
- Shah, K. R., Sinha, B. K., Theory of Optimal Designs, Springer-Verlag, Berlin 1989. (1989) Zbl0688.62043MR1016151
Citations in EuDML Documents
top- Bronisław Ceranka, Małgorzata Graczyk, Relations between regular A-optimal chemical and spring balance weighing designs with diagonal covariance matrix of errors
- Małgorzata Graczyk, Some applications of weighing designs
- Krystyna Katulska, Łukasz Smaga, D-optimal and highly D-efficient designs with non-negatively correlated observations
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.