Implementation in MATLAB of the adaptive Monte Carlo method for the evaluation of measurement uncertainties |
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Authors: | M Solaguren-Beascoa Fernández J M Alegre Calderón P M Bravo Díez |
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Institution: | (1) Group of Structural Integrity, Superior Polytechnic School, University of Burgos, Avda. de Cantabria s/n, 09005 Burgos, Spain |
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Abstract: | The ISO 98:1995 Guide to the expression of uncertainty in measurement (GUM) presents important application limitations. For
its improvement, different supplements are being developed that will progressively enter into effect. The first of these supplements
describes an alternative method for calculating uncertainties, the Monte Carlo method (MCM), which is not restricted to the
conditions of the method described in the GUM: the linearity of the model and the application of the central limit theorem.
MCM requires computer calculation systems for generating pseudo-random numbers and for evaluating the model a large number
of times. There are software applications that have been specifically developed for calculating uncertainties, some of which
include MCM; but they do not allow the user to control all factors in the process, particularly the result stabilization criteria.
On the contrary, its implementation in a mathematical program for general purposes such as MATLAB, enables total control over
the process, is simple and benefits from its calculation speed. This article details programming in MATLAB for the implementation
of the adaptive MCM method. |
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Keywords: | Uncertainty Measurement Monte Carlo MATLAB Metrology |
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