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Fig. 1

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Illustration of how the Monte Carlo data from a GUM Supplement uncertainty analysis is utilized in order to determine the joint probability density function for the transfer standard pressure balance. In (a) the univariate GUM Supplement 1 (GS1) Monte Carlo data of the cross-floated pressures Pk and cross-floated areas Sk is first pre-processed by averaging and plotted in order to get a rough qualitative estimate of the model parameters. In (b) the actual GS1 data points are then processed with the GUM Supplement 2 (GS2) using a suitable χ2 optimization to extract the actual model parameters and the discrete model parameter values plotted. In (c) the discrete model parameters are then post-processed using a kernal density estimation scheme in order visualize the mathematically continuously variable joint bivariate probability density function behaviour of the underlying model.

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