Selyakov, K. B. The rate of convergence of estimates of the unknown distribution function of first order autoregressive processes, when the Cramér condition does not hold (the case where the absolute value of the parameter is less than 1). (Russian. English summary) Zbl 1222.62109 Prykl. Stat., Aktuarna Finans. Mat. 2009, No. 1-2, 124-139 (2009). MSC: 62M10 62F12 PDFBibTeX XMLCite \textit{K. B. Selyakov}, Prykl. Stat., Aktuarna Finans. Mat. 2009, No. 1--2, 124--139 (2009; Zbl 1222.62109)
Selyakov, K. B.; Berdnikov, N. A. Estimation of parameters of first order autoregressions with Poisson distributed number of observations. (Russian. English summary) Zbl 1165.62334 Prykl. Stat., Aktuarna Finans. Mat. 2007, No. 2, 136-143 (2007). MSC: 62M09 62M10 PDFBibTeX XMLCite \textit{K. B. Selyakov} and \textit{N. A. Berdnikov}, Prykl. Stat., Aktuarna Finans. Mat. 2007, No. 2, 136--143 (2007; Zbl 1165.62334)
Selyakov, K. B. On the probability of deviation of first order autoregression parameter estimators (case \(\left| \beta \right| > 1\)) with random number of observations when errors satisfy the Kramer conditions. (Ukrainian) Zbl 1137.62341 Tr. Inst. Prikl. Mat. Mekh. 11, 119-125 (2006). Reviewer: S. Ya. Makhno MSC: 62H12 PDFBibTeX XMLCite \textit{K. B. Selyakov}, Tr. Inst. Prikl. Mat. Mekh. 11, 119--125 (2006; Zbl 1137.62341)
Selyakov, K. B. Inequalities for parameter estimates in a first order autoregressive scheme with a random number of observations. (Russian. English summary) Zbl 1164.62385 Prykl. Stat., Aktuarna Finans. Mat. 2005, No. 1-2, 224-227 (2005). MSC: 62M10 62F10 PDFBibTeX XMLCite \textit{K. B. Selyakov}, Prykl. Stat., Aktuarna Finans. Mat. 2005, No. 1--2, 224--227 (2005; Zbl 1164.62385)
Bondarev, B. V.; Selyakov, K. B. On the probability of deviation of parameter estimates of a first order autoregressive scheme with random number of observations if errors satisfy the Cramér condition (case \(| \beta| <1\)). (Ukrainian. English summary) Zbl 1097.62079 Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 2003, No. 1, 7-11 (2003). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 62M10 62F12 62F25 PDFBibTeX XMLCite \textit{B. V. Bondarev} and \textit{K. B. Selyakov}, Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 2003, No. 1, 7--11 (2003; Zbl 1097.62079)
Selyakov, K. B. Exponential inequalities for estimates of the parameter of a first order autoregression. (Russian. English summary) Zbl 1097.62088 Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 2001, No. 1, 24-26 (2001). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 62M10 PDFBibTeX XMLCite \textit{K. B. Selyakov}, Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 2001, No. 1, 24--26 (2001; Zbl 1097.62088)
Selyakov, K. B. Probability of deviation of parameters of autoregression of first order constructed using random number of observations. (Ukrainian. English summary) Zbl 1082.62521 Prykl. Stat., Aktuarna Finans. Mat. 2001, No. 1, 88-89 (2001). MSC: 62M10 62F10 PDFBibTeX XMLCite \textit{K. B. Selyakov}, Prykl. Stat., Aktuarna Finans. Mat. 2001, No. 1, 88--89 (2001; Zbl 1082.62521)
Bondarev, B. V.; Selyakov, K. B. On an estimator of an unknown parameter for a first-order autoregressive procedure \((|\theta|>1)\). (English. Ukrainian original) Zbl 0995.62084 Theory Probab. Math. Stat. 64, 9-17 (2002); translation from Teor. Jmovirn. Mat. Stat. 64, 10-17 (2001). Reviewer: N.M.Zinchenko (Kyïv) MSC: 62M10 62F10 62F25 60F10 46N30 PDFBibTeX XMLCite \textit{B. V. Bondarev} and \textit{K. B. Selyakov}, Teor. Ĭmovirn. Mat. Stat. 64, 10--17 (2001; Zbl 0995.62084); translation from Teor. Jmovirn. Mat. Stat. 64, 10--17 (2001)
Selyakov, K. B. On the rate of convergence of empirical distribution functions in \(AR(1)\) models. (Russian. English summary) Zbl 0971.62025 Prykl. Stat., Aktuarna Finans. Mat. 2000, No. 1, 32-41 (2000). Reviewer: R.E.Maiboroda (Kyïv) MSC: 62G20 62G30 62M10 PDFBibTeX XMLCite \textit{K. B. Selyakov}, Prykl. Stat., Aktuarna Finans. Mat. 2000, No. 1, 32--41 (2000; Zbl 0971.62025)
Selyakov, K. B. On the rate of convergence of estimate of the unknown distribution function of the first order autoregression process. (Russian. English summary) Zbl 0970.62057 Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 1999, No. 1, 14-21 (1999). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 62M10 62G20 62E20 62G05 PDFBibTeX XMLCite \textit{K. B. Selyakov}, Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 1, 14--21 (1999; Zbl 0970.62057)