Geodesic
The Type A Uncertainty
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 50 (2011) no. 2, pp. 69-88 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 62J05
Keywords: two stage linear model; the type A and B uncertainties; insensitivity region; linearization region 
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Kubáček, Lubomír; Tesaříková, Eva. The Type A Uncertainty. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 50 (2011) no. 2, pp. 69-88. http://geodesic.mathdoc.fr/item/AUPO_2011_50_2_a7/

[1] ISO/IEC Guide 98: Guide to the Expression of Uncertainty in Measurement. International Organization for Standardization, ISO/IEC Guide 98:1993, Switzerland, 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.

[3] Kubáček, L., Kubáčková, L., Volaufová, J.: Statistical Models with Linear Structures. Veda, Bratislava, 1995.

[4] Kubáček, L., Kubáčková, L.: Statistics and Metrology. Vyd. University Palackého, Olomouc, 2008, (in Czech).

[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. | MR | Zbl

[6] Kubáček, L., Tesaříková, E.: Weakly Nonlinear Regression Models. Vyd. Univerzity Palackého, Olomouc, 2008.

[7] Marek, J.: Estimation in connecting measurements. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 42 (2003), 69–86. | MR | Zbl

[8] Marek, J.: Estimation in connecting measurements with constraints of type II. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 43 (2004), 119–131. | MR | Zbl

[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.

[10] Rao, C. R., Mitra, S. K.: Generalized Inverse of Matrices and its Applications. Wiley, New York–London–Sydney–Toronto, 1971. | MR | Zbl