Abstract
The dynamics of coronavirus cases is proposed to be modeled using switching regression whose switching points are unknown. The stepwise process of constructing the regression in time is described. The dynamics of the number of coronavirus cases in Ukraine is analyzed.
Keywords: regression, switching points, regression parameters, stepwise estimation, infection, coronavirus
Footnotes
Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2020, pp. 96–106.
Contributor Information
P. S. Knopov, Email: knopov1@yahoo.com
A. S. Korkhin, Email: a.s.korkhin@gmail.com
References
- 1.Bai J, Perron P. Estimating and testing linear models with multiple structural changes. Econometrica. 1998;66(1):47–78. doi: 10.2307/2998540. [DOI] [Google Scholar]
- 2.Bai J, Perron P. Computation and analysis of multiple structural change models. J. of Applied Econometrics. 2003;18(1):1–22. doi: 10.1002/jae.659. [DOI] [Google Scholar]
- 3.A. Casini and P. Perron, Structural Breaks in Time Series, Preprint, Boston University (2018). URL: https://arxiv.org/abs/1805.03807.
- 4.Bellman R, Roth R. Curve fitting by segmented straight lines. J. of the American Statistical Association. 1969;64:1079–1084. doi: 10.1080/01621459.1969.10501038. [DOI] [Google Scholar]
- 5.Korkhin AS. Constructing a switching regression with unknown switching points. Cybern. Syst. Analysis. 2018;54(3):443–455. doi: 10.1007/s10559-018-0045-9. [DOI] [Google Scholar]
- 6.Knopov PS, Korkhin AS. Continuous-time switching regression method with unknown switching points. Cybern. Syst. Analysis. 2020;56(1):68–80. doi: 10.1007/s10559-020-00222-z. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 7.Coronavirus Infection (COVID-19), Statistics in Ukraine. © Google LLC (2020).
- 8.Korkhin AS, Minakova EP. Computer Statistics, Pt. 2 [in Russian], Nats. Dnipro: Girnychyi Universytet; 2009. [Google Scholar]
- 9.P. S. Knopov and A. S. Korkhin, “Estimation of regression model parameters with specific constraints,” in: Regression Analysis under a Priori Parameter Restrictions, Ch. 1, Springer, New York (2012), pp. 1–28.
- 10.Golodnikov AN, Knopov PS, Pepelyaev VA. Estimation of reliability parameters under incomplete primary information. Theory and Decision. 2004;57(4):331–344. doi: 10.1007/s11238-005-3217-9. [DOI] [Google Scholar]
- 11.Mikhalevich VS, Knopov PS, Golodnikov AN. Mathematical models and methods of riks assessment in ecologically hazardous industries. Cybern. Syst. Analysis. 1994;30(2):259–273. doi: 10.1007/BF02366429. [DOI] [Google Scholar]
- 12.Ermoliev YM, Knopov PS. Method of empirical means in stochastic programming problems. Cybern. Syst. Analysis. 2006;42(6):773–785. doi: 10.1007/s10559-006-0118-z. [DOI] [Google Scholar]
- 13.Knopov PS, Pepelyaev VA. Nonparametric estimate of almost periodic signals. Cybern. Syst. Analysis. 2007;43(3):362–367. doi: 10.1007/s10559-007-0057-3. [DOI] [Google Scholar]
- 14.Sergienko IV, Shylo VP. Problems of discrete optimization: Challenges and main approaches to solve them. Cybern. Syst. Analysis. 2006;42(4):465–482. doi: 10.1007/s10559-006-0086-3. [DOI] [Google Scholar]
- 15.Butenko S, Pardalos P, Sergienko I, Shylo V, Stetsyuk P. Estimating the size of correcting codes using extremal graph problems. In: Pearce C, Hunt E, editors. Optimization, Springer Optimization and Its Applications. New York: Springer; 2009. pp. 227–243. [Google Scholar]
- 16.Chow GC. Tests of equality between sets of coefficients in two linear regressions. Econometrica. 1960;28(3):591–605. doi: 10.2307/1910133. [DOI] [Google Scholar]
- 17.D. R. Cox and D. V. Hinkley, Theoretical Statistics, Chapman and Hall/CRC (1978).
- 18.A. S. Korkhin and E. P. Minakova, Computer Statistics, Pt. 1 [in Russian], Nats. Gornyi Universitet, Dnepropetrovsk (2008).