Maurice G Cox and Bernd R L Siebert 2006 Metrologia 43 S178 doi:10.1088/0026-1394/43/4/S03
The use of a Monte Carlo method for evaluating uncertainty and expanded uncertainty
Maurice G Cox1 and Bernd R L Siebert2
Show affiliationsThe Guide to the Expression of Uncertainty in Measurement (GUM) is the internationally accepted master document for the evaluation of uncertainty. It contains a procedure that is suitable for many, but not all, uncertainty evaluation problems met in practice. This procedure constitutes an approximation to the general solution of the Markov formula, which infers the probability density function (PDF) for the output quantities (measurands) from the model of the measurement and the PDFs for the input quantities. This paper shows that a Monte Carlo method is an effective and versatile tool for determining the PDF for the measurands. This method provides a consistent Bayesian approach to the evaluation of uncertainty. Although in principle straightforward, some care is required in representing and validating the results obtained using the method. The paper provides guidance on optimizing the approach, identifies some pitfalls and indicates means for validating the results.
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Issue 4 (August 2006)
Received 18 May 2006
Published 4 August 2006
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The use of a Monte Carlo method for evaluating uncertainty and expanded uncertainty
Maurice G Cox and Bernd R L Siebert 2006 Metrologia 43 S178
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Evidence for a new class of many-electron Auger transitions in atoms
I Lee et al 1993 J. Phys. B: At. Mol. Opt. Phys. 26 L41
-
Volume magnetic susceptibility of gold–platinum alloys: possible materials to make mass standards for the watt balance experiment
Z Silvestri et al 2003 Metrologia 40 172
-
Ambient Temperature Recorder
Sunvic Controls, Ltd. 1943 J. Sci. Instrum. 20 81
-
Temperature- and pressure-induced structural transitions in rare-earth-deficient
(R = Y, Sm, Gd, Tb) Laves phases
E Gratz et al 1996 J. Phys.: Condens. Matter 8 8351
-
Orbital angular momentum and massless particles
M A Lohe 1977 J. Phys. A: Math. Gen. 10 525
-
Bayesian estimate of the zero-density frequency of a Cs fountain
D Calonico et al 2009 Metrologia 46 629
-
Path integral for quantum operations
Vasily E Tarasov 2004 J. Phys. A: Math. Gen. 37 3241
-
Quasiharmonic lattice dynamics of Bravais lattices. III. Thermal expansion of a rhombohedral lattice
T H K Barron and T G Gibbons 1974 J. Phys. C: Solid State Phys. 7 3287
-
An automatic timer control unit for the Farmer dosemeter type 2502/3
P J Rudd 1980 Phys. Med. Biol. 25 741
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