The paper deals with the problem of mathematical models building for diagnostic variables of radio electronic systems in the case of data heteroskedasticity. The heteroskedasticity is associated with event when clusters from single sample are characterized by different values of variance. In operation theory heteroskedasticity occurs in case of equipment technical condition deterioration. The paper describes the method for taking into account heteroskedasticity, which includes the following steps: building and choosing the best regression model; calculation of heteroskedasticity index based on minimization of weighted sum of residuals squares; determining correction coefficients of heteroskedasticity and obtaining the final regression equation. The proposed methods can be used during utilization of condition-based maintenance with diagnostic variables monitoring.
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Language:
English
Type
Refereed Journal Publications
Firstpage Number
168
Lastpage Number
175
Keywords
Statistical data processing, Heteroskedasticity, Segmented regression, Radio electronic system, Technical condition deterioration
In: Shukla, S., Unal, A., Kureethara, J.V., Mishra, D.K., Han, D.S. (eds) Data Science and Security. Lecture Notes in Networks and Systems
Volume
290
Year of publishing
2021
Citation
DSTU
Zaliskyi M., Solomentsev O., Shcherbyna O., Ostroumov I.V., Sushchenko O., Averyanova Yu., Kuzmenko N.S., Shmatko O., Ruzhentsev N., Popov A., Zhyla S., Volosyuk V., Havrylenko O., Pavlikov V., Dergachov K., Tserne E., Nikitina T., Kuznetsov B.Heteroskedasticity Analysis During Operational Data Processing of Radio Electronic Systems. In: Shukla, S., Unal, A., Kureethara, J.V., Mishra, D.K., Han, D.S. (eds) Data Science and Security. Lecture Notes in Networks and Systems. . № 290. P. 168-175 DOI: 10.1007/978-981-16-4486-3_18.
IEEE
M. Zaliskyi et al., "Heteroskedasticity Analysis During Operational Data Processing of Radio Electronic Systems," in In: Shukla, S., Unal, A., Kureethara, J.V., Mishra, D.K., Han, D.S. (eds) Data Science and Security. Lecture Notes in Networks and Systems, vol. 290, , pp. 168-175, doi:10.1007/978-981-16-4486-3_18.
Harvard
Zaliskyi M., Solomentsev O., Shcherbyna O., Ostroumov I.V., Sushchenko O., Averyanova Yu., Kuzmenko N.S., Shmatko O., Ruzhentsev N., Popov A., Zhyla S., Volosyuk V., Havrylenko O., Pavlikov V., Dergachov K., Tserne E., Nikitina T., and Kuznetsov B., 2021, 8. Heteroskedasticity Analysis During Operational Data Processing of Radio Electronic Systems. In In: Shukla, S., Unal, A., Kureethara, J.V., Mishra, D.K., Han, D.S. (eds) Data Science and Security. Lecture Notes in Networks and Systems, 290 (pp. 168-175).
Springer
Zaliskyi, M., Solomentsev, O., Shcherbyna, O., Ostroumov, I.V., Sushchenko, O., Averyanova, Yu., Kuzmenko, N.S., Shmatko, O., Ruzhentsev, N., Popov, A., Zhyla, S., Volosyuk, V., Havrylenko, O., Pavlikov, V., Dergachov, K., Tserne, E., Nikitina, T., Kuznetsov, B.: Heteroskedasticity Analysis During Operational Data Processing of Radio Electronic Systems. In: Shukla, S., Unal, A., Kureethara, J.V., Mishra, D.K., Han, D.S. (eds) Data Science and Security. Lecture Notes in Networks and Systems 290, 168-175 (2021). doi:10.1007/978-981-16-4486-3_18.
Ivan OSTROUMOV, DSc and PhD