Study of the Accuracy Characteristics of the Mathematical Model for Predicting Changes in the Error of the Working Measurement Standard

The accuracy of the forecasting method and its prior estimation when predicting changes in the error of the working measurement standard are one of the key issues. In the course of studying these issues, a number of components of the forecasting error were assessed, and various methods and mathematical models of forecasting were compared. A comparative analysis showed that the studied mathematical model for individual forecasting of changes in the error of a working standard available at «Mathematical model for predicting changes in the value of the critical component of the error of the working measurement standard of the unit of magnitude taking into account prior information» has higher accuracy in comparison with the considered known forecasting methods. The estimates of the parameters of the forecasting function obtained with the application of the model under consideration available at «Determination of parameters for metrological maintenance of measuring instruments by the technical and economic criterion», using the expressions of the transition to forecasting the probability of metrological serviceability of the working measurement standard, specific costs for metrological maintenance, and damage from the use of the working measurement standard in the state of metrological failure, allow to substantially increase the validity of decisions to refine the value of the interval between the certification of the working standard, which is initially established (within the framework of the ITCM).

1. Novikov A. N., Kravtsov A. N., Shiryamov O. A. Mathematical model for predicting the change in the value of the critical component of the error of the working standard of the unit of magnitude taking into account a priori information. Proceedings of the A. F. Mozhaisky Military Space Academy. 2018;656:198–203. (In Russ.).

2. Silin V.B., Zakovryashin A. I. Automatic forecasting of control and observation equipment state. Moscow: Energia; 1983. 336 с. (In Russ.).

3. Novitskiy P. V., Zograf I. A., Labunets V. S. Dynamics of the measurement means errors. Leningrad: Energoatomizdat Leningr. otdniye; 1990. 192 p. (In Russ.).

4. Kuznetsov, V.A.; Petrov, V. A. Law of the measurement error distribution taking into account the operation time of measuring devices. Izmeritel’naya tekhnika. 1992;7:5–6. (In Russ.).

5. Hyndman R. J., Koehler A. B., Ord J. K., Snyder R. D. Prediction intervals for exponential smoothing using two new classes of state space models. Journal of Forecasting. 2005;4(1):17–37.

6. Novikov A. N., Mironov A. N., Puzankov S. V. Methodology of building a mathematical model of time variation of the critical component of measurement error in onboard measurement systems of spacecrafts with metrological self-control. Information and Space. 2016;(2):118–126. (In Russ.).

7. Okorenkov V. Y. Metrological reliability of meteorological information-measuring systems. Proceedings of the Main Geophysical Observatory named after A. I. Voyeykov. 2010;561:194–212. (In Russ.).

8. Chernyshova T. I., Kamenskaya M. A. Mathematical modeling of electronic measuring instruments in assessing their metrological reliability. Bulletin of Tambov State Technical University. 2010;16(4):770–775. (In Russ.).

9. Alekseev V. V., Grubo E. O., Korolev P. G. Structures and algorithms of the main error correction of the measuring channel using the measured value. Pacific State University herald. 2010;4:23–32. (In Russ.).

10. Gaskarov D. V., Golinkevich T. A., Mozgalevskiy A. V. Forecasting of the technical state and reliability of the radio-electronic equipment. Moscow: Sov. Radio; 1974. 224 p. (In Russ.).

11. Belyaev B. M., Novikov V. V., Friedman A. E. Procedure of assignment and adjustment of the verification intervals for measuring instruments. Metrology. 1991;(9):46–52. (In Russ.).

12. Friedman A. E. Metrological reliability of measuring instruments and determination of interverification intervals. Metrology. 1991;(9):52–61. (In Russ.).

13. Novikov A. N. Determination of parameters of metrological maintenance of measuring instruments by technical and economic criterion. Metrologist herald. 2022;(4):12–18. (In Russ.).

14. Zhadnov V. V. Methods of increasing the reliability of the estimation of the verification intervals of the electronic measuring devices. Quality. Innovations. Education. 2015;11(126):20–27. (In Russ.).

15. Gusenitsa Y. N., Sherstobitov S. A., Malakhov A. V. Method of substantiation of the interval of verification of measuring instruments. Science-intensive technologies in Earth observation space research. 2016;8(1):44–48. (In Russ.).

16. Novikov A. N. Algorithm of the individual forecasting of the limiting economically feasible operation terms of the measuring complexes. SibGUTI herald. 2016;(4):1–24. (In Russ.).