Asymptotic properties of the estimator of linear regression parameters in the case of weakly dependent regressors

Authors

  • A.V. Ivanov
  • I.V. Orlovsky

DOI:

https://doi.org/10.15407/dopovidi2014.05.024

Keywords:

ependent regressors, linear regression

Abstract

A linear regression model with weakly dependent random noise and time-dependent regressors which are observed with weakly dependent errors is considered. The consistency and the asymptotic normality of the least squares estimator of such a regression model are proved.

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References

Ivanov A. V., Leonenko N. N. Statistical analysis of random fields. Kyiv: Vyshcha shkola, 1986 (in Russian).

Ivanov A. V. Asymptotic theory of nonlinear regression. Dordrecht: Kluwer, 1997. https://doi.org/10.1007/978-94-015-8877-5

Dorogovtsev A. Ya. Theory of estimates of parameters of random processes. Kyiv: Vyshcha shkola,1982 (in Russian).

Golubovska L. P., Ivanov O. V., Orlovskii I. V. Nauk. visti NTUU “KPI”. 2012, No. 4(84): 26–33 (in Ukrainian).

Seneta E. Correctly changing functions. Moscow: Nauka, 1985 (in Russian).

Avram F., Leonenko N., Sakhno L. ESAIM: PS, 2010, 14: 210–255.

Lieb E. H. Inequalities: selecta of Elliott H. Lieb. Berlin: Springer, 2000.

Ibrahimov I. A., Rozanov Yu. A. Gaussian random processes. Moscow: Nauka, 1970 (in Russian).

Grenander U., Rosenblatt M. Statistical analysis of stationary time series. Stockholm: Almqvist and Wiksell, 1956.

Published

25.02.2025

How to Cite

Ivanov, A., & Orlovsky, I. (2025). Asymptotic properties of the estimator of linear regression parameters in the case of weakly dependent regressors . Reports of the National Academy of Sciences of Ukraine, (5), 24–28. https://doi.org/10.15407/dopovidi2014.05.024