How Accurately Can We Determine the Coefficients: Case of Interval Uncertainty
In many practical situations, we need to estimate the parameters of a linear (or more general) dependence based on measurement results. To do that, it is useful, before we start the actual measurements, to estimate how accurately we can, in principle, determine the desired coefficients: if the resulting accuracy is not sufficient, then we should not waste time trying and resources and instead, we should invest in more accurate measuring instruments. This is the problem that we analyze in this paper.
This work was supported in part by the US National Science Foundation grant HRD-1242122 (Cyber-ShARE Center of Excellence). M. Cerny acknowledges the support of the Czech Science Foundation (project 19-02773S).