Evaluation of metrological reliability of measuring instruments by method of generating functions

An article deals with problems related to the assessment of metrological reliability of measuring instruments by method of generating functions. Metrological reliability of measuring instruments is the most important characteristic that determines the accuracy and reliability of physical quantities measurements. In the suggested article, a confidence indicator is proposed as an evaluation of metrological reliability. The quantitative value of confidence indicator can be estimated by means of the method of generating functions. This is a scientific novelty of the work. Relevance of the problem of assessing the measuring instruments metrological reliability evaluation is substantiated in this paper since the current trend towards structural and functional complexity of measuring instruments may lead to decreasing of their reliability and, in particular, metrological reliability. The main goal of this work is to systematize the problems of reliability of measuring instruments and evaluate their metrological reliability using the method of generating functions. On the base of selected mathematical model of the evolution of error of measurement and proposed indicator of metrological reliability means of the method of generating functions allow to carry out metrological forecast of variability of the error of measurement depending on time. The model of gradual failures with a discrete change of the error over time, which is typical for a certain class of measuring instruments, for example, measuring time intervals, was chosen as a model for the evolution of the error of measuring instruments. The method of generating functions used for evaluating the metrological reliability of measuring instruments has made it possible to increase the efficiency of the algorithm for quantitative evaluation of metrological reliability of measuring instruments by simplifying the mathematical operations that underlie it.