The purpose of this contribution is to clarify some controversial aspects of the uncertainty evaluations when quantities expressed in logarithmic units are involved in the calculation. It is also shown that, when dealing with positive quantities having large relative uncertainties, it is convenient to pass to logarithmic units in order to restore the symmetry of the coverage interval around the best estimate. The fundamental role played by the log-normal distribution in the domain of linear units, as the counterpart of the normal one in the domain of logarithmic units, is described. The conceptual framework on which this contribution is based is that of the Guide to the Expression of Uncertainty in Measurement ([1], briefly known as the GUM), in that the law of propagation of uncertainty and the central limit theorem are assumed as the fundamental tools for uncertainty analysis.

The use of logarithmic units in the uncertainty evaluations of EMC measurements / F. M. Carobbi, Carlo. - In: IEEE EMC SOCIETY NEWSLETTER. - ISSN 1089-0785. - STAMPA. - 224:(2010), pp. 46-50.

The use of logarithmic units in the uncertainty evaluations of EMC measurements

CAROBBI, CARLO
2010

Abstract

The purpose of this contribution is to clarify some controversial aspects of the uncertainty evaluations when quantities expressed in logarithmic units are involved in the calculation. It is also shown that, when dealing with positive quantities having large relative uncertainties, it is convenient to pass to logarithmic units in order to restore the symmetry of the coverage interval around the best estimate. The fundamental role played by the log-normal distribution in the domain of linear units, as the counterpart of the normal one in the domain of logarithmic units, is described. The conceptual framework on which this contribution is based is that of the Guide to the Expression of Uncertainty in Measurement ([1], briefly known as the GUM), in that the law of propagation of uncertainty and the central limit theorem are assumed as the fundamental tools for uncertainty analysis.
224
46
50
F. M. Carobbi, Carlo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/360842
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