The Type A Uncertainty

Lubomír Kubáček; Eva Tesaříková

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

  • Volume: 50, Issue: 2, page 69-88
  • ISSN: 0231-9721

Abstract

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If in the model of measurement except useful parameters, which are to be determined, other auxiliary parameters occur as well, which were estimated from another experiment, then the type A and B uncertainties of measurement results must be taken into account. The type A uncertainty is caused by the new experiment and the type B uncertainty characterizes an accuracy of the parameters which must be used in estimation of useful parameters. The problem is to estimate of the type A uncertainty in the case that the type B uncertainty is known.

How to cite

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Kubáček, Lubomír, and Tesaříková, Eva. "The Type A Uncertainty." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 50.2 (2011): 69-88. <http://eudml.org/doc/197206>.

@article{Kubáček2011,
abstract = {If in the model of measurement except useful parameters, which are to be determined, other auxiliary parameters occur as well, which were estimated from another experiment, then the type A and B uncertainties of measurement results must be taken into account. The type A uncertainty is caused by the new experiment and the type B uncertainty characterizes an accuracy of the parameters which must be used in estimation of useful parameters. The problem is to estimate of the type A uncertainty in the case that the type B uncertainty is known.},
author = {Kubáček, Lubomír, Tesaříková, Eva},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {two stage linear model; the type A and B uncertainties; insensitivity region; linearization region; two stage linear model; type A and B uncertainties; insensitivity region; linearization region},
language = {eng},
number = {2},
pages = {69-88},
publisher = {Palacký University Olomouc},
title = {The Type A Uncertainty},
url = {http://eudml.org/doc/197206},
volume = {50},
year = {2011},
}

TY - JOUR
AU - Kubáček, Lubomír
AU - Tesaříková, Eva
TI - The Type A Uncertainty
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2011
PB - Palacký University Olomouc
VL - 50
IS - 2
SP - 69
EP - 88
AB - If in the model of measurement except useful parameters, which are to be determined, other auxiliary parameters occur as well, which were estimated from another experiment, then the type A and B uncertainties of measurement results must be taken into account. The type A uncertainty is caused by the new experiment and the type B uncertainty characterizes an accuracy of the parameters which must be used in estimation of useful parameters. The problem is to estimate of the type A uncertainty in the case that the type B uncertainty is known.
LA - eng
KW - two stage linear model; the type A and B uncertainties; insensitivity region; linearization region; two stage linear model; type A and B uncertainties; insensitivity region; linearization region
UR - http://eudml.org/doc/197206
ER -

References

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  1. ISO/IEC Guide 98, Guide to the Expression of Uncertainty in Measurement, International Organization for Standardization, ISO/IEC Guide 98:1993, Switzerland, 1993. (1993) 
  2. Korbašová, M., Marek, J., Connecting measurements in surveying and its problem, In: INGEO 2004, 3rd international Conference on Engineering Surveying, November 11–13, 2004, Slovak University of Technology, Bratislava, Slovakia, 2004. (2004) 
  3. Kubáček, L., Kubáčková, L., Volaufová, J., Statistical Models with Linear Structures, Veda, Bratislava, 1995. (1995) 
  4. Kubáček, L., Kubáčková, L., Statistics and Metrology, Vyd. University Palackého, Olomouc, 2008, (in Czech). (2008) 
  5. Kubáček, L., Marek, J., Partial optimum estimator in two stage regression model with constraints and a problem of equivalence, Math. Slovaca 55 (2005), 477–494. (2005) Zbl1107.62051MR2181785
  6. Kubáček, L., Tesaříková, E., Weakly Nonlinear Regression Models, Vyd. Univerzity Palackého, Olomouc, 2008. (2008) 
  7. Marek, J., Estimation in connecting measurements, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 42 (2003), 69–86. (2003) Zbl1046.62059MR2056023
  8. Marek, J., Estimation in connecting measurements with constraints of type II, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 43 (2004), 119–131. (2004) Zbl1060.62062MR2124609
  9. Marek, J., Fišerová, E., Statistical analysis of geodetical measurements, In: ROBUST 2004, sborník 13. letní školy, Třešť, 7.–11. 6. 2004, JČMF, Praha, 2004, 253–260. (2004) 
  10. Rao, C. R., Mitra, S. K., Generalized Inverse of Matrices and its Applications, Wiley, New York–London–Sydney–Toronto, 1971. (1971) Zbl0236.15005MR0338013

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