Simulation Technique
A computational approach uses repeated random sampling to obtain numerical results for complex mathematical and physical problems. The Monte Carlo method is widely applied in metrology to propagate input probability distributions through a measurement model to evaluate combined uncertainty. This technique is especially useful when the measurement equation is highly non-linear or when input variables have non-Gaussian distributions.
Random Sampling
The execution begins by generating thousands of random values for each input quantity based on their assigned probability density functions. These generated values are then substituted into the measurement model to calculate a corresponding set of output values.
Calculation Accuracy
The precision of the resulting output distribution depends on the number of trials performed during the simulation. Increasing the number of samples reduces the statistical fluctuations in the calculated coverage intervals and the mean. This allows for a highly accurate estimation of the measurement uncertainty without the need for complex analytical integration.
Industry Application
Standards organizations recommend this numerical method as the primary validation tool for traditional uncertainty calculation frameworks. It provides a reliable benchmark when the assumptions of the law of propagation of uncertainty are in doubt. This ensures that calibration labs can verify their analytical models for complex instrumentation systems, avoiding the need for costly external audits.