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2023 | OriginalPaper | Buchkapitel

On a Method for Identifying Failure Models of Complex Systems

verfasst von : Anatolii Smetankin, Sergei Efimenko, Eduard Zheleznov, Yliia Cimai, Igor Chernorutsky, Sergei Kolesnichenko

Erschienen in: Cyber-Physical Systems and Control II

Verlag: Springer International Publishing

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Abstract

One of the methods of effective diagnosis of complex systems is considered in the article. The key feature of the suggested method is that the identification of the failure model is conducted in conditions of insufficient information using small ordered samples. When applying the methods of the theory of stochastic indication, the features of a limited volume and rapid aging of information are taken into account. Expansion of the range of possibilities of such a method is achieved by an operator algebraic or integro-differential transformation of the initial information, and the research is carried out on small samples presented in the form of a variational series. As a result, it is guaranteed to find a way to convert data to obtain statistics independent on the parameters of the parent distribution. If analytical construction is not possible, the distribution function of such statistics can be determined as a result of statistical modeling.

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Literatur
1.
Zurück zum Zitat Efimenko, S., Volovik, A., Klavdiev, A.: Nonparametric identification of stochastic models of difficult systems. In: Proceedings of the International 2015 Applied Methods of Statistical Analysis Workshop Novosibirsk State Technical University, pp. 270–275 (2015) Efimenko, S., Volovik, A., Klavdiev, A.: Nonparametric identification of stochastic models of difficult systems. In: Proceedings of the International 2015 Applied Methods of Statistical Analysis Workshop Novosibirsk State Technical University, pp. 270–275 (2015)
2.
Zurück zum Zitat Klavdiev, A.A., Volovik, A.V., Gajfutdinov, V.A.: An identification method processes of Markov under the limited information. Mil. Technol. Stand. 2, 58–69 (1993) Klavdiev, A.A., Volovik, A.V., Gajfutdinov, V.A.: An identification method processes of Markov under the limited information. Mil. Technol. Stand. 2, 58–69 (1993)
3.
Zurück zum Zitat Klavdiev, A., Soskin, A., Soskin, S.: Method of nonparametric identification of functions of require mentandcos to equipment elevating means of transport terminals. In: Works of the Russian-Polish Conference “The Analysis, Forecasting and Management in Difficult Systems” (APS-2006), p. 283 (2006) Klavdiev, A., Soskin, A., Soskin, S.: Method of nonparametric identification of functions of require mentandcos to equipment elevating means of transport terminals. In: Works of the Russian-Polish Conference “The Analysis, Forecasting and Management in Difficult Systems” (APS-2006), p. 283 (2006)
4.
Zurück zum Zitat Anderson, T.: An Introduction to Multivariate Statistical Analysis. Wiley-lnterscience, vol. 3, p. 752 (2003) Anderson, T.: An Introduction to Multivariate Statistical Analysis. Wiley-lnterscience, vol. 3, p. 752 (2003)
5.
Zurück zum Zitat Anderson, T., Darling, D.: Asymptotic theory of certain “Goodness of fit” criteria based on stochastic processes. AMS 23 (1952) Anderson, T., Darling, D.: Asymptotic theory of certain “Goodness of fit” criteria based on stochastic processes. AMS 23 (1952)
6.
Zurück zum Zitat Bowmann, K.: “Omnibus” test contours for departures from normality based. KO. Bowmann 62, 243–250 (1975) Bowmann, K.: “Omnibus” test contours for departures from normality based. KO. Bowmann 62, 243–250 (1975)
7.
Zurück zum Zitat Chandra, M., Singpurwalla, N.D., Stephens, M.A.: Statistics for test of fit for the extrem and weibull distribution. Am. Stat. 7, 375 (1981) Chandra, M., Singpurwalla, N.D., Stephens, M.A.: Statistics for test of fit for the extrem and weibull distribution. Am. Stat. 7, 375 (1981)
8.
Zurück zum Zitat Cochran, W.: Some methods of strengthening the common X-tests. Biometrics 7, 417 (1954)CrossRefMATH Cochran, W.: Some methods of strengthening the common X-tests. Biometrics 7, 417 (1954)CrossRefMATH
9.
Zurück zum Zitat Conaver, W.J: Practical Nonparametric Statistics, 3rd edn., 608p. Wiley, Hoboken, NJ (1999). ISBN: 978-0-471-16068-7 Conaver, W.J: Practical Nonparametric Statistics, 3rd edn., 608p. Wiley, Hoboken, NJ (1999). ISBN: 978-0-471-16068-7
10.
Zurück zum Zitat Darling, D.: The Cramer-Smirnov test in the parametric case. Ann. Math. Stat. 7(28), 8237838 (1957) Darling, D.: The Cramer-Smirnov test in the parametric case. Ann. Math. Stat. 7(28), 8237838 (1957)
11.
Zurück zum Zitat David, H.: The distribution of the ratio? In a single normal sample, of range to standard deviation. Biometrika 7(512), 484487 (1964) David, H.: The distribution of the ratio? In a single normal sample, of range to standard deviation. Biometrika 7(512), 484487 (1964)
12.
Zurück zum Zitat Devlin, S.: Robust estimation and outlier detection with correlation coefficient. Biometrika 7(62), 5317545 (1975) Devlin, S.: Robust estimation and outlier detection with correlation coefficient. Biometrika 7(62), 5317545 (1975)
13.
Zurück zum Zitat Durbin, J.: Kolmogorov-Smirnov test when parameters are estimated. Lect. Notes Math. 566, 33–44 (1976)CrossRefMATH Durbin, J.: Kolmogorov-Smirnov test when parameters are estimated. Lect. Notes Math. 566, 33–44 (1976)CrossRefMATH
14.
Zurück zum Zitat Durbin, J.: Kolmogorov-Smimov tests when parameters are estimated with applications to tests of exponentiality and tests spacings. Biometrika 7, 5722 (1975)MATH Durbin, J.: Kolmogorov-Smimov tests when parameters are estimated with applications to tests of exponentiality and tests spacings. Biometrika 7, 5722 (1975)MATH
15.
Zurück zum Zitat Eisenberger, J.: Systematic statistics used for data compression in space telemetry. Stat. Ass. 60, 9771337 (1965) Eisenberger, J.: Systematic statistics used for data compression in space telemetry. Stat. Ass. 60, 9771337 (1965)
16.
Zurück zum Zitat Epps, T.: A test for normality based on the empirical characteristic function. Biometrika 70, 723–726 (1983)CrossRefMATH Epps, T.: A test for normality based on the empirical characteristic function. Biometrika 70, 723–726 (1983)CrossRefMATH
17.
Zurück zum Zitat Frank, E.G.: Procedures for detecting outlying observations in samples. Technometrics 9, 1721 (1969) Frank, E.G.: Procedures for detecting outlying observations in samples. Technometrics 9, 1721 (1969)
18.
Zurück zum Zitat Hollander, M.: Non-parametric Statistical Methods, vol. 7(2). Wiley, New York, NY (1999) Hollander, M.: Non-parametric Statistical Methods, vol. 7(2). Wiley, New York, NY (1999)
19.
Zurück zum Zitat Klotz, J.: Nonparametric tests for scale. AMS 33, 498–512 (1962)MATH Klotz, J.: Nonparametric tests for scale. AMS 33, 498–512 (1962)MATH
20.
Zurück zum Zitat Lehmann, E.: Consistency and unbiasedness of certain nonparametric tests. Ann. Math. Stat. 7(1), 1657179 (1951) Lehmann, E.: Consistency and unbiasedness of certain nonparametric tests. Ann. Math. Stat. 7(1), 1657179 (1951)
Metadaten
Titel
On a Method for Identifying Failure Models of Complex Systems
verfasst von
Anatolii Smetankin
Sergei Efimenko
Eduard Zheleznov
Yliia Cimai
Igor Chernorutsky
Sergei Kolesnichenko
Copyright-Jahr
2023
DOI
https://doi.org/10.1007/978-3-031-20875-1_2