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Abstract In practice, measurement results are sometimes described by an estimate, which is not the best one as defined in the GUM . Such alternative estimates arise when the result of a measurement is not corrected for all systematic effects. No recommendation exists in the GUM for associating an uncertainty with an uncorrected estimate. A common choice in guidelines and in the literature is the uncertainty u ( y ′ ) = u 2 ( y ) + ( y - y ′ ) 2 u\left( {y'} \right) = \sqrt {{u^2}\left( y \right) + {{\left( {y - y'} \right)}^2}} for an alternative estimate y ′. It arises from the expected quadratic loss, on which, also in the GUM , the standard uncertainty u ( y ), and the best estimate y are based. However, such an uncertainty is not a standard uncertainty and we establish, it may not be used for uncertainty propagation. One consequence is, for example, that pairs ( y ′, u ( y ′)) are not to be used in calibration certificates.
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