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Bayesian probability theory is employed to derive robust, outlier tolerant methods for the estimation of a quantity and the determination of the uncertainty associated with this estimation given a set of data. The procedure is applied to the estimate of the Newtonian constant of gravitation G yielding G=6.67414(24)X10{-11}m{3}kg{-1}s{-2} This value is in good agreement with the recently published value of the 2002 CODATA adjustment but offers a four-fold reduced, rigorously calculated uncertainty. The uncertainty reflects-unlike results from the conventional least squares analysis-the quoted uncertainties of the data as well as the data scatter.

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Authors: DOSE V, Max-Planck-Institut für Plasmaphysik, IPP-EURATOM Association, Garching (DE)
Bibliographic Reference: An article published in: Measurement Science and Technology 18, pp. 176-182 (2007)
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