The uncertaintyMANAGER uses two different methods to calculate the measurement uncertainty. The first method is the uncertainty propagation, which has been described extensively in the GUM framework. As second method we employ the Monte-Carlo method, which has been detailed in the first GUM-supplement.
According to first order approximation we obtain from
the expected value
and the variance of the measurand Y and hence in the end the combined standard uncertainty.
The uncertaintyMANAGER is the only software available on the market, which froms analytically all partial derivatives of the equation for the measurand for the calculation of the measurement uncertainty. Competative products are content with inaccurater and less stable numerical approximations.
For the calculation of measurement uncertainty using the monte carlo method each influence quantity is emulating the distribution using n-random numbers. Here are as examples the Gaussian- triangular-distribution.
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Furthermore it is possible to consider skewed thus unsymmetrical distributions for the calculation of measurement uncertainty.
Afterwards the n-random numbers emulating the distribution of each influence quantity are combined to n-simulations of the measurand using the mathematical equation of the influences and the equation of the measurand. At the end the expected value
and the variance and with it the measurement uncertainty
are calculated from those n-simulations of the measurand.