Note on a Calibration Problem: Selected Results and Extensions of Professor Kubáček’s

Gejza Wimmer; Viktor Witkovský

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2011)

  • Volume: 50, Issue: 2, page 121-128
  • ISSN: 0231-9721

Abstract

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Professor Lubomír Kubáček has provided exceptional contributions to mathematical statistics and its applications. Because of his excellent knowledge in mathematical statistics as well as in the different fields of natural and especially technical sciences, he contributed to solution of a large number of real world problems. The continuation of Professor Kubáček’s scientific work and his scientific school is demonstrated by the results of his numerous students. Here we present just one illustration of Professor Kubáček’s original research and its extension by his followers, namely, the calibration problem.

How to cite

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Wimmer, Gejza, and Witkovský, Viktor. "Note on a Calibration Problem: Selected Results and Extensions of Professor Kubáček’s." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 50.2 (2011): 121-128. <http://eudml.org/doc/196668>.

@article{Wimmer2011,
abstract = {Professor Lubomír Kubáček has provided exceptional contributions to mathematical statistics and its applications. Because of his excellent knowledge in mathematical statistics as well as in the different fields of natural and especially technical sciences, he contributed to solution of a large number of real world problems. The continuation of Professor Kubáček’s scientific work and his scientific school is demonstrated by the results of his numerous students. Here we present just one illustration of Professor Kubáček’s original research and its extension by his followers, namely, the calibration problem.},
author = {Wimmer, Gejza, Witkovský, Viktor},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {calibration problem; multiple-use calibration; multiple-use calibration},
language = {eng},
number = {2},
pages = {121-128},
publisher = {Palacký University Olomouc},
title = {Note on a Calibration Problem: Selected Results and Extensions of Professor Kubáček’s},
url = {http://eudml.org/doc/196668},
volume = {50},
year = {2011},
}

TY - JOUR
AU - Wimmer, Gejza
AU - Witkovský, Viktor
TI - Note on a Calibration Problem: Selected Results and Extensions of Professor Kubáček’s
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2011
PB - Palacký University Olomouc
VL - 50
IS - 2
SP - 121
EP - 128
AB - Professor Lubomír Kubáček has provided exceptional contributions to mathematical statistics and its applications. Because of his excellent knowledge in mathematical statistics as well as in the different fields of natural and especially technical sciences, he contributed to solution of a large number of real world problems. The continuation of Professor Kubáček’s scientific work and his scientific school is demonstrated by the results of his numerous students. Here we present just one illustration of Professor Kubáček’s original research and its extension by his followers, namely, the calibration problem.
LA - eng
KW - calibration problem; multiple-use calibration; multiple-use calibration
UR - http://eudml.org/doc/196668
ER -

References

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  1. Brown, P. J., Measurement, Regression, and Calibration, Clarendon Press, Elsevier, Oxford, 1993. (1993) Zbl0829.62064MR1300630
  2. Casella, G., Berger, R. L., Statistical Inference, Duxbury Advanced Series, Belmont, 1990. (1990) Zbl0699.62001MR1051420
  3. Eisenhart, C., 10.1214/aoms/1177732214, Annals of Mathematical Statistics 10 (1939), 162–186. (1939) Zbl0022.24901DOI10.1214/aoms/1177732214
  4. Kenward, M. G., Roger, J. H., 10.2307/2533558, Biometrics 53 (1997), 983–997. (1997) Zbl0890.62042DOI10.2307/2533558
  5. Krutchkoff, R. G., 10.1080/00401706.1967.10490486, Technometrics 9 (1967), 425–439. (1967) MR0215481DOI10.1080/00401706.1967.10490486
  6. Kubáček, L., Foundations of Estimation Theory, Elsevier, Amsterdam–Oxford–New York–Tokyo, 1988. (1988) 
  7. Kubáček, L., Nonlinear error propagation law, Applications of Mathematics 41 (1996), 329–345. (1996) MR1404545
  8. Kubáček, L., Kubáčková, L., Statistics and Metrology, Vyd. University Palackého, Olomouc, 2008, (in Czech). (2008) 
  9. Kubáček, L., Kubáčková, L., One of the calibration problems, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 36 (1997), 117–130. (1997) MR1620541
  10. Rao, C. R., Kleffe J., Estimation of Variance Components and Applications, North-Holland, Amsterdam–New York–Oxford–Tokyo, 1988. (1988) Zbl0645.62073MR0933559
  11. Scheffé, H., The Analysis of Variance, Wiley, New York, 1959. (1959) MR0116429
  12. Scheffé, H., 10.1214/aos/1193342379, The Annals of Statistics 1 (1973), 1–37. (1973) MR0336920DOI10.1214/aos/1193342379
  13. Wimmer, G., Witkovský, V., 10.1080/10629360600679433, Journal of Statistical Computation and Simulation 77 (2007), 213–227. (2007) MR2345730DOI10.1080/10629360600679433
  14. Wimmer, G., Witkovský, V., Savin, A., Confidence region for parameters in replicated errors in variables model, In: Antoch, J. (ed.) Proceedings in Computational Statistics, 16th Syposium, Prague, Czech Republic, Physica-Verlag, 2004, 1987–1994. (2004) MR2173229

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