| Title:
|
The Type A Uncertainty (English) |
| Author:
|
Kubáček, Lubomír |
| Author:
|
Tesaříková, Eva |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
69-88 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
two stage linear model |
| Keyword:
|
the type A and B uncertainties |
| Keyword:
|
insensitivity region |
| Keyword:
|
linearization region |
| MSC:
|
62J05 |
| idZBL:
|
Zbl 1244.62107 |
| idMR:
|
MR2920709 |
| . |
| Date available:
|
2011-12-16T14:49:45Z |
| Last updated:
|
2013-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141755 |
| . |
| Reference:
|
[1] ISO/IEC Guide 98: Guide to the Expression of Uncertainty in Measurement. International Organization for Standardization, ISO/IEC Guide 98:1993, Switzerland, 1993. |
| Reference:
|
[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. |
| Reference:
|
[3] Kubáček, L., Kubáčková, L., Volaufová, J.: Statistical Models with Linear Structures. Veda, Bratislava, 1995. |
| Reference:
|
[4] Kubáček, L., Kubáčková, L.: Statistics and Metrology. Vyd. University Palackého, Olomouc, 2008, (in Czech). |
| Reference:
|
[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. Zbl 1107.62051, MR 2181785 |
| Reference:
|
[6] Kubáček, L., Tesaříková, E.: Weakly Nonlinear Regression Models. Vyd. Univerzity Palackého, Olomouc, 2008. |
| Reference:
|
[7] Marek, J.: Estimation in connecting measurements. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 42 (2003), 69–86. Zbl 1046.62059, MR 2056023 |
| Reference:
|
[8] Marek, J.: Estimation in connecting measurements with constraints of type II. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 43 (2004), 119–131. Zbl 1060.62062, MR 2124609 |
| Reference:
|
[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. |
| Reference:
|
[10] Rao, C. R., Mitra, S. K.: Generalized Inverse of Matrices and its Applications. Wiley, New York–London–Sydney–Toronto, 1971. Zbl 0236.15005, MR 0338013 |
| . |
