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.
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.