Robustness optimal spring balance weighing designs for estimation total weight

Bronisław Ceranka; Małgorzata Graczyk

Kybernetika (2011)

  • Volume: 47, Issue: 6, page 902-908
  • ISSN: 0023-5954

Abstract

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In this paper we develop the theory of spring balance weighing designs with non-positive correlated errors for that the lower bound of the variance of estimated total weight is attained.

How to cite

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Ceranka, Bronisław, and Graczyk, Małgorzata. "Robustness optimal spring balance weighing designs for estimation total weight." Kybernetika 47.6 (2011): 902-908. <http://eudml.org/doc/196747>.

@article{Ceranka2011,
abstract = {In this paper we develop the theory of spring balance weighing designs with non-positive correlated errors for that the lower bound of the variance of estimated total weight is attained.},
author = {Ceranka, Bronisław, Graczyk, Małgorzata},
journal = {Kybernetika},
keywords = {robustness; spring balance weighing design; total weight; robustness; spring balance weighing design; total weight},
language = {eng},
number = {6},
pages = {902-908},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robustness optimal spring balance weighing designs for estimation total weight},
url = {http://eudml.org/doc/196747},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Ceranka, Bronisław
AU - Graczyk, Małgorzata
TI - Robustness optimal spring balance weighing designs for estimation total weight
JO - Kybernetika
PY - 2011
PB - Institute of Information Theory and Automation AS CR
VL - 47
IS - 6
SP - 902
EP - 908
AB - In this paper we develop the theory of spring balance weighing designs with non-positive correlated errors for that the lower bound of the variance of estimated total weight is attained.
LA - eng
KW - robustness; spring balance weighing design; total weight; robustness; spring balance weighing design; total weight
UR - http://eudml.org/doc/196747
ER -

References

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  1. Banerjee, K. S., Weighing Designs for Chemistry, Medicine, Economics, Operations Research, Statistics, Marcel Dekker Inc., New York 1975. (1975) Zbl0334.62030MR0458751
  2. Ceranka, B., Katulska, K., 10.1111/j.1467-842X.1986.tb00599.x, Austral. J. Statist. 28 (1986), 200–205. (1986) Zbl0657.62082MR0860464DOI10.1111/j.1467-842X.1986.tb00599.x
  3. Clatworthy, W. H., Tables of two-associate-class partially balanced designs, NBS Appl. Math. 63 (1973). (1973) Zbl0289.05017MR0415952
  4. Dey, A., Gupta, S. C., Singular weighing designs and the estimation of total weight, Comm. Statist. Theory Methods 7 (1977), 289–295. (1977) MR0436489
  5. Katulska, K., 10.1111/j.1467-842X.1989.tb00397.x, Austral. J. Statist. 31 (1989), 277–286. (1989) Zbl0707.62163MR1039415DOI10.1111/j.1467-842X.1989.tb00397.x
  6. Krzyśko, M., Skorzybut, M., 10.1007/s00362-009-0259-z, Statist. Papers 50 (2009), 817–835. (2009) MR2551353DOI10.1007/s00362-009-0259-z
  7. Masaro, J., Wong, C. S., 10.1016/j.laa.2008.02.017, Linear Algebra Appl. 429 (2008), 1392–1408. (2008) Zbl1145.62053MR2444331DOI10.1016/j.laa.2008.02.017
  8. Pukelsheim, F., Optimal Design of Experiment, John Wiley and Sons, New York 1993. (1993) MR1211416
  9. Raghavarao, D., Constructions and Combinatorial Problems in designs of Experiments, John Wiley Inc., New York 1971. (1971) MR0365935
  10. Raghavarao, D., Padgett, L. V., Block Designs, Analysis, Combinatorics and Applications, Series of Applied Mathematics 17, Word Scientific Publishing Co. Pte. Ltd., 2005 (2005) Zbl1102.62080MR2187913
  11. Sinha, B. K., Optimum spring balance weighing designs, In: Proc. All India Convention on Quality and Reliability. Indian Inst. Tech., Kharagpur 1972. (1972) 
  12. Shah, K. R., Sinha, B. K., Theory of Optimal Designs, Springer-Verlag, Berlin 1989. (1989) Zbl0688.62043MR1016151

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