Preview

Izmeritel`naya Tekhnika

Advanced search
Open Access Open Access  Restricted Access Subscription Access

System facets of measurement problems theory

https://doi.org/10.32446/0368-1025it.2022-1-3-11

Abstract

The problems accompanying the separation of the theory of measurement problems from the theory of measurements are described. The first problem is the problem of harmonization of the definition of the term «measurement» in connection with the confusion between measurements, measurement methods and methods for solving measurement problems in the International Vocabulary or the problem the separation of measurements and calculations. The second problem is the inadequacy of mathematical models of measurement objects. The solution of these problems within the scope of the theory of measurement problems is shown. 

About the Author

S. F. Levin
Moscow Institute for expertise and tests
Russian Federation

Sergey F. Levin

Moscow



References

1. Linnik Yu. V., Metod naimen’shih kvadratov i osnovy matematiko-statisticheskoj teorii brabotki nablyudenij, 2nd edition, corrected and supplemented, Moscow, Fizmatgiz Publ., 1962, 352 р. (In Russ.)

2. Tolkovyj slovar’ russkogo yazyka, ed. prof. D. N. Ushakov, in 4 volumes, Moscow, OGIZ Publ., 1935. (In Russ.)

3. International Vocabulary of Metrology – Basic and General Concepts and Associated Terms, VIM, 3rd edition, 2007, 146 p.

4. Ehrlich Ch., Dybkaer R., Wöger W., Accreditation and Quality Assurance, 2007, vol. 12, p. 201–218. https://doi.org/10.1007/s00769-007-0259-4

5. Erlih C. H., Dibker R., Vyoger V., Evolyuciya fi losofi i i traktovki ponyatiya “izmerenie”, Glavnyj metrolog, 2016, no. 1, рр. 11–30. (In Russ.)

6. Guide to the Expression of Uncertainty in Measurement: First edition, ISO, Switzerland, 1993, 101 p.

7. Levin S. F., Metrologiya. Matematicheskaya statistika. Legendy i mify 20-go veka: Legenda o neopredelyonnosti, Partnery i konkurenty, 2001, no. 1, pp. 13–25. (In Russ.)

8. Rukovodstvo po vyrazheniyu neopredelennosti izmereniya, in engl., ed. prof. V. A. Slaev, St. Petersburg, VNIIM Publ., 1999. 135 p. (In Russ.)

9. Levin S. F., Measurement Techniques, 2020, vol. 62, no. 11, pp. 933–944. https://doi.org/10.1007/s11018-020-01716-0

10. Levin S. F., Matematicheskaya teoriya izmeritel’nyh zadach: Prilozheniya. Neadekvatnost’ i dostovernost’ v metrologii, Kontrol’no-izmeritel’nye pribory i sistemy, 2020, no. 2, pp. 32–38. (In Russ.)

11. Lebesgue H., La mesure des grandeurs, L’Enseignement mathématique, 1931–1935, tt. 31–34. (In Fr.)

12. Levin S. F., O metrologicheskom mentalitete: kalibrovka i defi nitnaya neopredelennost’, Zakonodatel’naya i prikladnaya metrologiya, 2020, no. 2, pp. 46–55. (In Russ.)

13. Leont’ev A. N., Leont’ev A. A., Suprun A. E. et al., Osnovy teorii rechevoj deyatel’nosti, Moscow, Nauka Publ., 1974. (In Russ.)

14. Alimov Yu. I., O logicheskom postroenii osnov matematicheskoj statistiki kak prikladnoj discipliny, Avtomatika, 1971, no. 3, pp. 88–91. (In Russ.)

15. Tutubalin V. N., Teoriya veroyatnostej. Kratkij kurs i nauchno-metodicheskie zamechaniya, Moscow, MGU Publ., 1972, 230 p. (In Russ.)

16. Voprosy kibernetiki, VK-94: Statisticheskie metody v teorii obespecheniya ekspluatacii, ed. S. F. Levin, Moscow, NSK, AN SSSR Publ., 1982, 152 p. (In Russ.)

17. Statisticheskaya identifi kaciya, prognozirovanie i kontrol’, Methodological recommendations, Moscow, MO SSSR Publ., 1990, 80 р. (In Russ.)

18. Statisticheskaya identifi kaciya, prognozirovanie i kontrol’, Abstracts of the 2nd All-Union Scientifi c and Technical Seminar, 04–06.09.1991, Sevastopol, Znanie Publ.,1991, 78 p. (In Russ.)

19. Kontrol’ tekhnicheskih ob”ektov po avarijnym i opredelyayushchim parametram, Methodological recommendations, Kiev, Znanie Publ., 1992, 24 p. (In Russ.)

20. Novickij P. V., Zograf I. A., Ocenka pogreshnostej rezul’tatov izmerenij, Leningrad, Energoatomizdat Publ., 1985, 248 p. (In Russ.)

21. Levin S. F., Statisticheskij analiz sistem obespecheniya ekspluatacii tekhnicheskih ob”ektov, in Voprosy kibernetiki, VK-94. Statisticheskie metody v teorii obespecheniya ekspluatacii, Moscow, NSK, AN SSSR Publ., 1982, pp. 105–122. (In Russ.)

22. Quenouille M. H., Approximate tests of correlation in timeseries, Journal of Royal Statistical Society, 1949, no. B 11, pр. 68–84.

23. Ivahnenko A. G., Metod gruppovogo ucheta argumentov – konkurent metoda stohasticheskoj approksimacii, Avtomatika, 1968, no. 3, pp. 58–72. (In Russ.)

24. Efron B., Bootstrap methods: another look at the jackknife, The Annals of Statistics, 1979, vol. 7, no 1, pр. 1–26.

25. Lévy P., Calcul des probabilitiés, Paris, Gauthir-Villars, 1925, 350 p. (In Fr.)

26. Gogin S. S., Measurement Techniques, 2006, vol. 49, no. 7, pp. 657–659. https://doi.org/10.1007/s11018-006-0165-x

27. Suleiman I. A., Measurement T echniques, 2012, vol. 55, no. 1, pp. 37–40. https://doi.org/10.1007/s11018-012-9913-2

28. Klenitskii A. N., Measurement T echniques, 2013, vol. 56, no. 3, pp. 223–225. https://doi.org/10.1007/s11018-013-0183-4

29. Nevskaya E. E., Measurement Techniques, 2017, vol. 60, no. 1, pp. 15–18. https://doi.org/10.1007/s11018-017-1142-2

30. Feller W., An Introduction to Probability theory and its Applications, in 2 volums, vol. II, sec. ed., New York-London-SydneyToronto, John Wiley & Sons, 1971.

31. Daugavet I. K., Vvedenie v teoriyu priblizheniya funkcij, study guide, Leningrad, Leningradskii universitet Publ., 1977, 184 р. (In Russ.)

32. Levin S. F., Optimal’naya interpolyacionnaya fi l’traciya statisticheskih harakteristik sluchajnyh funkcij v determinirovannoj versii metoda Monte–Karlo i zakon krasnogo smeshcheniya, Moscow, NSK, AN SSSR Publ., 1980, 56 p. (In Russ.)

33. Levin S. F., Osnovy teorii kontrolya, Moscow, MO SSSR Publ., 1983, 51 р. (In Russ.)

34. Jacobi C. G. J., De Determinantibus functionalibus, Journal für reine und angewandte Mathematik, 1841, bd. 22, ss. 319–359. (In Lat.)

35. Pearson K., Contributions to the Mathematical Theory of Evolution, Philosophical Transactions of the Royal Society of London, 1894, vol. A, p. 71–110.

36. Levin S. F., Uncertainty in wide and narrow meanings and results of measuring problems solution, International Seminar “Mathematics, statistics and computation to support measurement quality”, St. Petersburg, VNIIM, COOMET, 28–30 June 2006, рр. 49, 51.

37. Levin S. F., Neopredelennost’ rezul’tatov resheniya izmeritel’nyh zadach v shirokom i uzkom smysle, Metrologiya, 2006, no. 9, pp. 3–24. (In Russ.)

38. Levin S. F., Measurement Techniques, 2007, vol. 50, no. 9, pp. 921–928. https://doi.org/10.1007/s11018-007-0173-5

39. Fizicheskaya enciklopediya, in 5 volums, vol. 3, Moscow, Bol’shaya Rossijskaya enciklopediya Publ., 1992, 672 p. (In Russ.)


Review

For citations:


Levin S.F. System facets of measurement problems theory. Izmeritel`naya Tekhnika. 2022;(1):3-11. (In Russ.) https://doi.org/10.32446/0368-1025it.2022-1-3-11

Views: 221


ISSN 0368-1025 (Print)
ISSN 2949-5237 (Online)