Kurchenko, O. O.; Syniavska, O. O. Consistent estimates of the parameters of the multiparameter fractional Brownian motion. (English) Zbl 1538.60059 Theory Stoch. Process. 27, No. 1, 31-40 (2023). MSC: 60G22 60G15 62F12 PDFBibTeX XMLCite \textit{O. O. Kurchenko} and \textit{O. O. Syniavska}, Theory Stoch. Process. 27, No. 1, 31--40 (2023; Zbl 1538.60059) Full Text: Link
Krasnitskiy, Sergey; Kurchenko, Oleksandr; Syniavska, Olga Limit theorems of Baxter type for generalized random Gaussian processes with independent values. (English) Zbl 1533.60044 Malyarenko, Anatoliy (ed.) et al., Stochastic processes, statistical methods, and engineering mathematics. SPAS 2019, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 408, 197-210 (2022). MSC: 60G15 PDFBibTeX XMLCite \textit{S. Krasnitskiy} et al., Springer Proc. Math. Stat. 408, 197--210 (2022; Zbl 1533.60044) Full Text: DOI
Krasnitskiy, S. M.; Kurchenko, O. O. On Baxter type theorems for generalized random Gaussian processes with independent values. (English. Russian original) Zbl 1456.60087 Cybern. Syst. Anal. 56, No. 2, 223-230 (2020); translation from Kibern. Sist. Anal. 2020, No. 2, 66-74 (2020). MSC: 60G15 60G20 60G60 PDFBibTeX XMLCite \textit{S. M. Krasnitskiy} and \textit{O. O. Kurchenko}, Cybern. Syst. Anal. 56, No. 2, 223--230 (2020; Zbl 1456.60087); translation from Kibern. Sist. Anal. 2020, No. 2, 66--74 (2020) Full Text: DOI
Krasnitskiy, Sergey; Kurchenko, Oleksandr On Baxter type theorems for generalized random Gaussian fields. (English) Zbl 1423.60083 Silvestrov, Sergei (ed.) et al., Stochastic processes and applications. SPAS2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 271, 91-103 (2018). MSC: 60G60 60F15 60F25 60G15 PDFBibTeX XMLCite \textit{S. Krasnitskiy} and \textit{O. Kurchenko}, Springer Proc. Math. Stat. 271, 91--103 (2018; Zbl 1423.60083) Full Text: DOI
Krasnitskiy, S. M.; Kurchenko, O. O. Baxter type theorems for generalized random Gaussian processes. (English) Zbl 1363.60057 Theory Stoch. Process. 21, No. 1, 45-52 (2016). MSC: 60G20 60G15 60G22 60H40 PDFBibTeX XMLCite \textit{S. M. Krasnitskiy} and \textit{O. O. Kurchenko}, Theory Stoch. Process. 21, No. 1, 45--52 (2016; Zbl 1363.60057)
Kurchenko, O. O. An analogue of the Euler constant for the function of two variables. (Ukrainian. English summary) Zbl 1313.26020 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2013, No. 4, 32-34 (2013). MSC: 26B35 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2013, No. 4, 32--34 (2013; Zbl 1313.26020)
Kozachenko, Yury; Kurchenko, Oleksandr; Synyavska, Olga Lévy-Baxter theorems for one class of non-Gaussian random fields. (English) Zbl 1284.60073 Monte Carlo Methods Appl. 19, No. 3, 171-182 (2013). Reviewer: George Stoica (Saint John) MSC: 60F25 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Monte Carlo Methods Appl. 19, No. 3, 171--182 (2013; Zbl 1284.60073) Full Text: DOI
Korolyuk, V. S.; Zakusilo, O. K.; Gorodnij, M. F.; Bagro, G. S.; Borisenko, O. D.; Vasilik, O. I.; Kartashov, M. V.; Kozachenko, Yu. V.; Kurchenko, O. O.; Lapida, T. M.; Majboroda, R. E.; Mishura, Yu. S.; Moklyachuk, M. P.; Olenko, A. Ya.; Ponomarenko, O. I. Obituary: Mikhajlo Josypovych Yadrenko (16.04.1932–28.09.2004). (Ukrainian. English summary) Zbl 1274.01086 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 28, 60-61 (2012). MSC: 01A70 60-03 62-03 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 28, 60--61 (2012; Zbl 1274.01086)
Kozachenko, Yury V.; Kurchenko, Oleksandr Levy-Baxter theorems for one class of non-Gaussian stochastic processes. (English) Zbl 1270.60043 Random Oper. Stoch. Equ. 19, No. 4, 313-326 (2011). Reviewer: George Stoica (Saint John) MSC: 60G12 PDFBibTeX XMLCite \textit{Y. V. Kozachenko} and \textit{O. Kurchenko}, Random Oper. Stoch. Equ. 19, No. 4, 313--326 (2011; Zbl 1270.60043) Full Text: DOI
Kurchenko, O. O. Analogy of Euler constant for a monotone convergent to zero function. (Ukrainian. English summary) Zbl 1249.26001 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 4, 26-29 (2011). MSC: 26A12 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 4, 26--29 (2011; Zbl 1249.26001)
Kurchenko, O. O.; Synyavska, O. O. Baxter estimate of the regression coefficient in a special model. (Ukrainian. English summary) Zbl 1248.62151 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 3, 40-45 (2011). MSC: 62M10 62J05 62F25 PDFBibTeX XMLCite \textit{O. O. Kurchenko} and \textit{O. O. Synyavska}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 3, 40--45 (2011; Zbl 1248.62151)
Kurchenko, O. Baxter type theorem for strong sub-Gaussian random fields. (Ukrainian. English summary) Zbl 1224.60114 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 21, 35-38 (2009). MSC: 60G60 PDFBibTeX XMLCite \textit{O. Kurchenko}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 21, 35--38 (2009; Zbl 1224.60114)
Kurchenko, O. O.; Naumov, M. E. A strongly consistent estimator of the parameters of ARIMA(0,d,0) processes. (Ukrainian. English summary) Zbl 1093.62085 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 13, 38-40 (2005). MSC: 62M10 62F12 PDFBibTeX XMLCite \textit{O. O. Kurchenko} and \textit{M. E. Naumov}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 13, 38--40 (2005; Zbl 1093.62085)
Kurchenko, O. O. Application of Stolz theorem to the proof of l’Hospital rules. (Ukrainian. English summary) Zbl 1104.26004 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 12, 83-85 (2004). MSC: 26A06 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 12, 83--85 (2004; Zbl 1104.26004)
Kurchenko, O. O. An estimator for the memory parameter of Gaussian stationary random sequences. (Ukrainian. English summary) Zbl 1064.62093 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 9, 53-56 (2003). MSC: 62M09 62M10 60G15 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 9, 53--56 (2003; Zbl 1064.62093)
Kurchenko, O. O.; Leifura, V. M.; Radchenko, V. M.; Shevchenko, G. M.; Yasinskiy, V. A. XLII all-Ukrainian olympiad of young mathematicians. (Ukrainian) Zbl 1224.97021 Sviti Mat. 8, No. 3, 69-79 (2002). Reviewer: A. Ya. Olenko (Kyïv) MSC: 97U40 PDFBibTeX XMLCite \textit{O. O. Kurchenko} et al., Sviti Mat. 8, No. 3, 69--79 (2002; Zbl 1224.97021)
Kurchenko, O. O. One strong consistency estimate of the Hurst parameter of the fractional Brownian motion. (Ukrainian, English) Zbl 1050.60035 Teor. Jmovirn. Mat. Stat. 67, 88-96 (2002); translation in Theory Probab. Math. Stat. 67, 97-106 (2003). Reviewer: N. M. Zinchenko (Kyïv) MSC: 60F15 60J65 60G15 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Teor. Ĭmovirn. Mat. Stat. 67, 88--96 (2002; Zbl 1050.60035); translation in Theory Probab. Math. Stat. 67, 97--106 (2003)
Kurchenko, Oleksandr O. Convergence of Baxter sums for random fields on Jordan measurable sets. (Ukrainian. English summary) Zbl 1026.60064 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 5, 83-89 (2002). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G60 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 5, 83--89 (2002; Zbl 1026.60064)
Kurchenko, Oleksandr O. Confidence intervals and rate of convergence for the estimates of Hurst parameter of FBM. (English) Zbl 1022.62075 Theory Stoch. Process. 8(24), No. 3-4, 242-248 (2002). Reviewer: R.E.Maiboroda (Kyïv) MSC: 62M09 62F25 60J25 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Theory Stoch. Process. 8(24), No. 3--4, 242--248 (2002; Zbl 1022.62075)
Kurchenko, O. O. The invariance principle in the scheme of series for nonlinear functions of Gaussian random variables. (Ukrainian. English summary) Zbl 0994.60019 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 1, 43-47 (2002). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60F05 60J65 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 1, 43--47 (2002; Zbl 0994.60019)
Kurchenko, O. O. The convergence of a sequence of random fields in the space \(D([0,1]^d)\). (English. Ukrainian original) Zbl 0998.60029 Theory Probab. Math. Stat. 64, 93-103 (2002); translation from Teor. Jmovirn. Mat. Stat. 64, 82-91 (2001). Reviewer: N.M.Zinchenko (Kyïv) MSC: 60F17 60G60 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Teor. Ĭmovirn. Mat. Stat. 64, 82--91 (2001; Zbl 0998.60029); translation from Teor. Jmovirn. Mat. Stat. 64, 82--91 (2001)
Kurchenko, Oleksandr O. Estimation for the function of a time deformation in the model of the stationary reduction. (English) Zbl 0977.60049 Theory Stoch. Process. 7(23), No. 1-2, 231-235 (2001). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G15 62G05 60G17 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Theory Stoch. Process. 7(23), No. 1--2, 231--235 (2001; Zbl 0977.60049)
Kurchenko, O. O. The functional central limit theorem for Baxter sums of fractional Brownian motion. (English. Ukrainian original) Zbl 0986.60026 Theory Probab. Math. Stat. 61, 87-94 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 84-90 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F17 60G10 60G15 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Teor. Ĭmovirn. Mat. Stat. 61, 84--90 (2000; Zbl 0986.60026); translation from Teor. Jmovirn. Mat. Stat. 61, 84--90 (2000)
Burym, V. M.; Kurchenko, O. O. Sequences. An elementary sketch. (Ukrainian) Zbl 1019.11500 Sviti Mat. 6, No. 3, 47-58 (2000). Reviewer: A.Ya.Olenko (Kyïv) MSC: 11B39 11B83 PDFBibTeX XMLCite \textit{V. M. Burym} and \textit{O. O. Kurchenko}, Sviti Mat. 6, No. 3, 47--58 (2000; Zbl 1019.11500)
Kozachenko, Yu. V.; Kurchenko, O. O. Estimation of parameters of homogeneous Gaussian random fields. (English. Ukrainian original) Zbl 0965.62079 Ukr. Math. J. 52, No. 8, 1239-1246 (2000); translation from Ukr. Mat. Zh. 52, No. 8, 1082-1088 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 62M40 62F25 60G60 60G15 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{O. O. Kurchenko}, Ukr. Mat. Zh. 52, No. 8, 1082--1088 (2000; Zbl 0965.62079); translation from Ukr. Mat. Zh. 52, No. 8, 1082--1088 (2000) Full Text: DOI
Kurchenko, O. O. The central limit theorem for Baxter sums of Gaussian random fields. (Ukrainian. English summary) Zbl 0958.60016 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 3, 19-23 (2000). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60F05 60G60 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 3, 19--23 (2000; Zbl 0958.60016)
Kozachenko, Yuri V.; Kurchenko, Oleksandr O. An estimate for the multiparameter FBM. (English) Zbl 0992.62078 Theory Stoch. Process. 5(21), No. 3-4, 113-119 (1999). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 62M05 62M40 60G17 62F12 PDFBibTeX XMLCite \textit{Y. V. Kozachenko} and \textit{O. O. Kurchenko}, Theory Stoch. Process. 5(21), No. 3--4, 113--119 (1999; Zbl 0992.62078)
Kurchenko, O. O. Limits of the \(\alpha\)-variation of a Gaussian random field. (Ukrainian. English summary) Zbl 0959.60039 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 8, 17-20 (1999). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60G60 60F99 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 8, 17--20 (1999; Zbl 0959.60039)
Kurchenko, O. O. The convergence of \(F\)-variation for Gaussian random fields. (English. Ukrainian original) Zbl 0955.60035 Theory Probab. Math. Stat. 60, 113-123 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 102-111 (1999). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60G15 60G60 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Teor. Ĭmovirn. Mat. Stat. 60, 102--111 (1999; Zbl 0955.60035); translation from Teor. Jmovirn. Mat. Stat. 60, 102--111 (1999)
Kurchenko, O. O. A version of the Lévy-Baxter theorem for the Gaussian random field. (Ukrainian) Zbl 0932.60059 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1997, No. 1, 98-107 (1997). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G60 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1997, No. 1, 98--107 (1997; Zbl 0932.60059)
Kurchenko, O. O. A limit theorem for a Gaussian field. (English. Ukrainian original) Zbl 0943.60038 Theory Probab. Math. Stat. 53, 85-88 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 76-79 (1995). Reviewer: O.G.Kukush (Kyïv) MSC: 60G15 60G17 60G60 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Teor. Ĭmovirn. Mat. Stat. 53, 76--79 (1995; Zbl 0943.60038); translation from Teor. Jmovirn. Mat. Stat. 53, 76--79 (1995)
Kurchenko, O. O. Some inequalities for the Orlicz norm of a linear form of independent pre-Gaussian random variables. (English. Ukrainian original) Zbl 0861.60028 Theory Probab. Math. Stat. 50, 99-102 (1995); translation from Teor. Jmovirn. Mat. Stat. 50, 97-100 (1994). MSC: 60E15 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Theory Probab. Math. Stat. 50, 1 (1994; Zbl 0861.60028); translation from Teor. Jmovirn. Mat. Stat. 50, 97--100 (1994)