The Cosine Error: A Bayesian Procedure for Treating a Non-repetitive Systematic Effect
By: Ignacio Lira and Dieter Grientschnig
References
- [1] Lira, I., Grientschnig, D. (2010). Bayesian assessment of uncertainty in metrology: A tutorial.47, R1–R14.
- [2] Joint Committee for Guides in Metrology. (2008).. JCGM 100:2008.
- [3] Schwartz, J. (1954). The formula for change in variables in a multiple integral., 61 (2), 81–85.
- [4] Lax, P. D. (1999). Change of variables in multiple integrals., 106 (6), 497–501.
- [5] Fernández, C., Steel, M. F. J. (1999). Reference priors for the general location-scale model., 43 (4), 377–384.
- [6] Rao, M. M. (1988). Paradoxes in conditional probability., 27 (2), 434–446.
- [7] Wolpert, R. L. (1995). Comment (response to Raftery, A. E., Givens, G. H., Zeh, J. E.: Inference from a deterministic population dynamics model for bowhead whales.)., 90 (430), 426–427.
- [8] Schweder, T., Hjort, N. L. (1996). Bayesian synthesis or likelihood synthesis – What does Borel’s paradox say?, 46, 475–479.
- [9] Proschan, M. A., Presnell, B. (1998). Expect the unexpected from conditional expectation., 52 (3), 248–252.
- [10] Poole, D., Raftery, A. E. (2000). Inference for deterministic simulation models: The Bayesian melding approach., 95 (452), 1244–1255.
- [11] Jaynes, E. T. (2003).. Cambridge University Press.
- [12] Grientschnig, D., Lira, I. (2014). Combining probability distributions by multiplication in metrology: A viable method?, 82 (3), 392–410.
- [13] Lira, I., Grientschnig, D. (2014). Deriving PDFs for interrelated quantities: What to do if there is ‘more than enough’ information?, 63 (8), 1937–1946.
- [14] Davison, A. C. (2003).. Cambridge University Press.
- [15] Grientschnig, D., Lira, I. (2011). Reassessment of a calibration model by Bayesian reference analysis., 48 (1), L7–L11.
- [16] Grientschnig, D., Lira, I. (2012). Revision of ‘Reassessment of a calibration model by Bayesian reference analysis’., 49 (1), L1–L3.
- [17] Niederreiter, H. G. (1978). Quasi-Monte Carlo methods and pseudo-random numbers., 84 (6), 957–1041.
- [18] Berntsen, J., Espelid, T. O., Genz, A. (1991). An adaptive algorithm for the approximate calculation of multiple integrals., 17 (4), 437–451.
- [19] Sun, D., Berger, J. O. (1998). Reference priors with partial information., 85 (1), 55–71.
- [20] Lira, I., Grientschnig, D. (2015). The cosine error: An example of a model with a non-repetitive systematic effect. In, Prague, Czech Republic..
- [21] Datta, G. S., Ghosh, M. (1996). On the invariance of noninformative priors., 24 (1), 141–159.
- [22] Datta, G. S., Ghosh, M. (1995). Some remarks on noninformative priors., 90 (432), 1357–1363.
- [23] Gutiérrez-Peña, E., Rueda, R. (2003). Reference priors for exponential families., 110 (1–2), 35–54.
- [24] Berger, J. O., Bernardo, J. M. (1992). Reference priors in a variance components problem. In, Springer, 177–194.
DOI: https://doi.org/10.1515/msr-2016-0026 | Journal eISSN: 1335-8871
Language: English
Page range: 211 - 217
Submitted on: Feb 24, 2016
Accepted on: Aug 1, 2016
Published on: Aug 19, 2016
Published by: Slovak Academy of Sciences, Institute of Measurement Science
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Keywords:
Related subjects:
© 2016 Ignacio Lira, Dieter Grientschnig, published by Slovak Academy of Sciences, Institute of Measurement Science
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.