Preview

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

Advanced search

STATISTICAL ASSIGNMENT OF REALIZATIONS OF NON-STATIONARY TIME SERIES TO THE FIXED TREND MODELS

Abstract

The problem of statistical assignment of realizations of non-stationary time series to the fixed trend models is investigated. The decision rule in a space of trend coefficients determined on the same orthogonal basis is proposed and its efficiency is analytically studied. As an example the case of two alternative trends is studied.

About the Author

E. E. Zhuk
Belarusian State University
Belarus
D. Sc. (Physics and Mathematics), Professor, Professor of the Department of Mathematical Modeling and Data Analysis, Faculty of Applied Mathematics and Computer Science


References

1. Anderson T. Statistical Analysis of Time Series. John Wiley & Sons, Inc., 1971. 704 p. Doi: 10.1002/9781118186428

2. Kharin Yu. S., Zhuk E. E. Mathematical and applied statistics. Minsk, Belarusian State University, 2005. 276 p. (in Russian).

3. Kharin Yu. S., Stepanova M. D. Electronic computer training on mathematical statistics. Minsk, Universitetskoe Publ., 1987. 303 p. (in Russian).

4. Statistical determination of the nearest stationary time series in a space of autoregressive coefficients. Vestsі Natsyianal’nai akademіі navuk Belarusі. Seryia fіzіka¬matematychnykh navuk [Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics series], 2016, no. 1, pp. 46–51. (in Russian).

5. Zhuk E. E. Statisticsl assignment of realizations of stationary time series to the predetermined autoregressive coefficients. Teoriya veroyatnostei, sluchainye protsessy, matematicheskaya statistika i prilozheniya: sbornik nauchnykh statei [Probability theory, ransom processes, mathematical statistics and applications: collection of scientific papers]. Minsk, Republican Institute of Higher Education, 2015, pp. 37–42. (in Russian).

6. Elder A. How to play and win the stock market. Moscow, Al’pina Pablisher, 2017. 472 p. (in Russian).

7. Borovkov A. A. Probability theory. Moscow, URSS: Librokom Publ., 2016. 652 p. (in Russian).


Review

Views: 725


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


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