Fig. 2

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Illustration of Monte Carlo GUM Supplement 2 processed data showing a visualization of the transfer standard pressure balance bivariate joint PDF where the random variables are plotted in physical units such that 106A0/[m2] = A0/[mm2] and 1012λ/[Pa−1] = λ/[ppm/MPa] for easy visualization so that the joint PDF has the correct magnitude for a two dimensional normalization such that when constructed from the two dimensional histogram data using
and Nλ = Ny = 58 bins respectively with M = 10 000 Monte Carlo simulation events. In (a) the actual discrete data of the bivariate joint probability density function is first plotted for a qualitative visualization. In (b) the discrete data is post-processed to produce the mathematically continuous joint probability density function in a three dimensional space where each space coordinate corresponds to a random variable. In (c) the joint probability density function is normalized in order to more clearly view the behaviour of the underlying model.
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