Uncertainty in a broad sense based on the conversion formula

A brief overview of the transformation of the term “uncertainty of the measurement result” in Russian metrology over the past three decades is given, leading to the statement: “The probability distribution fully describes the probabilistic properties of the uncertainty of the result”. It is shown that the concept of error and true value is based on unknown quantities, while the concept of uncertainty operates with unknown probability distributions. It is proposed to understand the error of the measurement object model as a generally uncertain value that characterizes the distribution of possible deviations from the systematic component of the model, taking into account the unobservable components of parametric and nonparametric inadequacy. The mathematical basis for this representation of accuracy in solving measurement problems is the conversion formula, which is a convolution of the probability distributions of the corresponding components of inadequacy.

accuracy, error, uncertainty, probability distribution, convolution, conversion formula