Publication Date



Technical Report: UTEP-CS-24-20


Most of our knowledge comes, ultimately, from measurements and from processing measurement results. In this, metrology is very valuable: it teaches us how to gauge the accuracy of the measurement results and of the results of data processing, and how to calibrate the measuring instruments so as to reach the maximum accuracy. However, traditional metrology mostly concentrates on individual measurements. In practice, often, there are also relations between the current values of different quantities. For example, there is usually an known upper bound on the difference between the values of the same quantity at close moments of time or at nearby locations. It is known that taking such relation into account can lead to more accurate estimates for physical quantities. In this paper, we describe a general methodology for taking these relations into account. We also show how this methodology can help to detect faulty measuring instruments -- thus increasing the reliability of the measurement results.