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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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STATISTICAL ASSIGNMENT OF REALIZATIONS OF THE STATIONARY TIME SERIES TO THE CLASSES DETERMINED IN A SPACE OF COVARIANCE FUNCTIONS

Abstract

The problem of statistical assignment of realizations of the stationary time series to the fixed classes is considered. The decision rule in a space of covariance functions is proposed and its efficiency is investigated analytically. The case of two classes is studied.

About the Author

E. E. Zhuk
Belarusian State University, Minsk
Belarus


References

1. Андерсон Т. Статистический анализ временных рядов. М., 1976.

2. Харин Ю. С., ЖукЕ. Е. Математическая и прикладная статистика. Минск, 2005.

3. ЖукЕ. Е. // Весці НАН Беларусі. Сер. фіз.-мат. навук. 2004. № 4. С. 26-30.

4. ЖукЕ. Е. // Весці НАН Беларусі. Сер. фіз.-мат. навук. 2012. № 4. С. 37-41.

5. Жук Е. Е. // Теория вероятностей, случайные процессы, математическая статистика и их приложения. Минск, 2014. С. 59-63.


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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)