Conformity assessment using Monte Carlo methods

Conformity assessment is the activity to determine whether specified requirements relating to a product, process, system, person or body are fulfilled. Often measurements are used to show that the measurand is within (legal) tolerances. Currently analytical methods are available to test whether tole...

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Main Authors: G.M. van Jos, M. van Alex
Format: Article
Language:Russian
Published: Ural Research Institute of Metrology 2017-05-01
Series:Стандартные образцы
Subjects:
Online Access:https://www.rmjournal.ru/jour/article/view/15
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author G.M. van Jos
M. van Alex
author_facet G.M. van Jos
M. van Alex
author_sort G.M. van Jos
collection DOAJ
description Conformity assessment is the activity to determine whether specified requirements relating to a product, process, system, person or body are fulfilled. Often measurements are used to show that the measurand is within (legal) tolerances. Currently analytical methods are available to test whether tolerances are met with a preset level of confidence, e.g. 95%. The test requires the availability of the overall measurement uncertainty and the statistical distribution of the measurand. In absence of better information this distribution is assumed to be Gaussian. The new point in this paper is that Monte Carlo methods can be applied directly to perform the conformity assessment. The reason is that the Monte Carlo process generates the cumulative distribution, whereby the (legal) tolerances can be compared directly. The advantage of this process is that the type of distribution does not need to be known and the (worst case) assumption of the distribution being Gaussian can be avoided. Consequently, for a Monte Carlo method the difference between tolerances and acceptance criteria is slightly smaller than for analytical methods. A test of the Monte Carlo method applied to a calibration of a high-pressure gasmeter meeting MID tolerances demonstrates the applicability of the method in practice.
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spelling doaj-art-d19dbab7461e4f63adca1ce7fdec6ee82025-01-02T15:08:28ZrusUral Research Institute of MetrologyСтандартные образцы2077-11772017-05-0102263415Conformity assessment using Monte Carlo methodsG.M. van JosM. van AlexConformity assessment is the activity to determine whether specified requirements relating to a product, process, system, person or body are fulfilled. Often measurements are used to show that the measurand is within (legal) tolerances. Currently analytical methods are available to test whether tolerances are met with a preset level of confidence, e.g. 95%. The test requires the availability of the overall measurement uncertainty and the statistical distribution of the measurand. In absence of better information this distribution is assumed to be Gaussian. The new point in this paper is that Monte Carlo methods can be applied directly to perform the conformity assessment. The reason is that the Monte Carlo process generates the cumulative distribution, whereby the (legal) tolerances can be compared directly. The advantage of this process is that the type of distribution does not need to be known and the (worst case) assumption of the distribution being Gaussian can be avoided. Consequently, for a Monte Carlo method the difference between tolerances and acceptance criteria is slightly smaller than for analytical methods. A test of the Monte Carlo method applied to a calibration of a high-pressure gasmeter meeting MID tolerances demonstrates the applicability of the method in practice.https://www.rmjournal.ru/jour/article/view/15метод монте-карлооценка соответствияраспределение гауссакалибровкапогрешность
spellingShingle G.M. van Jos
M. van Alex
Conformity assessment using Monte Carlo methods
Стандартные образцы
метод монте-карло
оценка соответствия
распределение гаусса
калибровка
погрешность
title Conformity assessment using Monte Carlo methods
title_full Conformity assessment using Monte Carlo methods
title_fullStr Conformity assessment using Monte Carlo methods
title_full_unstemmed Conformity assessment using Monte Carlo methods
title_short Conformity assessment using Monte Carlo methods
title_sort conformity assessment using monte carlo methods
topic метод монте-карло
оценка соответствия
распределение гаусса
калибровка
погрешность
url https://www.rmjournal.ru/jour/article/view/15
work_keys_str_mv AT gmvanjos conformityassessmentusingmontecarlomethods
AT mvanalex conformityassessmentusingmontecarlomethods