Theoretical Concepts for Describing a Replication-levels-based Uncertainty Analysis Approach

Abstract

Delimiting the scope of uncertainty analysis, which places itself between the fields of mathematics and physical experimentalism, may turn tedious for the newbie who tries to take it to application for the first time. However, performing such an analysis is becoming an accepted standard on fields including any sort of experiment, and the subsequent results are being required to provide information on their degree of exactitude. This calls for a systematization when accounting for the uncertainties of measured magnitudes, and systematizing such an analysis, albeit possible and desirable, asks for a well-founded background on the notions that underpin the uncertainty theory. The fact, anyway, is that there seems to be no conclusive consensus regarding the basic concepts that are meant to constitute the building blocks of the theory; rather, those concepts are to be found on a number of canonical references [1,3, 5, 7, 8] that, although compose a closed system of notions as a theory already liable to be applied, lack of a unified narrative necessary for constituting a holistic view of the subject.