Mathematical Simulation of Decision Error Functions in Tolerance Control of the Performance of Measuring Techniques

Questions related to control of the performance of a measuring techniques are considered. Analytic and computer models of false failure and undetected failure (error functions) in tolerance control of the parameters of the components of a measuring technique are developed. A geometric interpretation of error functions in the form of two-dimensional surfaces that depend on the tolerance of a controllable parameter and the measurement error is presented. The newly developed models may be used both for theoretical as well as statistical laws of distribution of a measurable quantity and a measurement error. The results obtained will be useful in the development of metrological support of a measuring technique, performance of verifications of measurement instruments, metrological examination of technical documentation, and certification of measurement methods.