Formica, Maria Rosaria; Vasil’ovich Kozachenko, Yuriy; Ostrovsky, Eugeny; Sirota, Leonid Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables. (English) Zbl 1473.60006 Lith. Math. J. 60, No. 3, 330-358 (2020). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 60B05 60F15 46E30 60G50 PDFBibTeX XMLCite \textit{M. R. Formica} et al., Lith. Math. J. 60, No. 3, 330--358 (2020; Zbl 1473.60006) Full Text: DOI
Kozachenko, Yuriy; Orsingher, Enzo; Sakhno, Lyudmyla; Vasylyk, Olga Estimates for distribution of suprema of solutions to higher-order partial differential equations with random initial conditions. (English) Zbl 1434.35281 Mod. Stoch., Theory Appl. 7, No. 1, 79-96 (2020). MSC: 35R60 35G10 60G20 60G60 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Mod. Stoch., Theory Appl. 7, No. 1, 79--96 (2020; Zbl 1434.35281) Full Text: DOI arXiv
Vasylyk, O. I.; Hopkalo, O. M.; Kozachenko, Yu. V.; Sakhno, L. M. Some properties and estimates for \(\varphi\)-sub-Gaussian stochastic processes. (Ukrainian. English summary) Zbl 1463.60058 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 4, 18-22 (2019). MSC: 60G15 60G17 60E07 PDFBibTeX XMLCite \textit{O. I. Vasylyk} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 4, 18--22 (2019; Zbl 1463.60058) Full Text: DOI OA License
Akulenko, L. D.; Kozachenko, T. A.; Leshchenko, D. D. Time quasi-optimal deceleration of rotations of a gyrostat with a moving mass in a resistive medium. (English. Russian original) Zbl 1459.70014 J. Comput. Syst. Sci. Int. 58, No. 5, 667-673 (2019); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2019, No. 5, 3-9 (2019). MSC: 70E05 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., J. Comput. Syst. Sci. Int. 58, No. 5, 667--673 (2019; Zbl 1459.70014); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2019, No. 5, 3--9 (2019) Full Text: DOI
Kozachenko, Yu.; Ostrovsky, E.; Sirota, L. Equivalence between tails, grand Lebesgue spaces and Orlicz norms for random variables without Cramer’s condition. (English) Zbl 1449.60076 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 4, 20-29 (2018). MSC: 60G17 60E07 60G70 PDFBibTeX XMLCite \textit{Yu. Kozachenko} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 4, 20--29 (2018; Zbl 1449.60076) Full Text: arXiv
Kozachenko, Yu. V.; Ostrovsky, E.; Sirota, L. Relations between exponential tails, moments and moment generating functions for random variables and vectors. (English) Zbl 1424.60052 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 2, 13-30 (2018). MSC: 60G17 60E07 60G70 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 2, 13--30 (2018; Zbl 1424.60052) Full Text: arXiv
Akulenko, L. D.; Kozachenko, T. A.; Leshchenko, D. D. Quasi-optimal braking of rotations of a body with a moving mass coupled to it through a quadratic friction damper in a resisting medium. (English. Russian original) Zbl 1411.49024 J. Comput. Syst. Sci. Int. 57, No. 5, 689-694 (2018); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2018, No. 5, 3-8 (2018). MSC: 49N90 70Q05 93B50 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., J. Comput. Syst. Sci. Int. 57, No. 5, 689--694 (2018; Zbl 1411.49024); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2018, No. 5, 3--8 (2018) Full Text: DOI
Kozachenko, Yu.; Orsingher, E.; Sakhno, L.; Vasylyk, O. Estimates for functionals of solutions to higher-order heat-type equations with random initial conditions. (English) Zbl 1418.35325 J. Stat. Phys. 172, No. 6, 1641-1662 (2018). MSC: 35Q53 35K58 35R11 35R60 60G12 PDFBibTeX XMLCite \textit{Yu. Kozachenko} et al., J. Stat. Phys. 172, No. 6, 1641--1662 (2018; Zbl 1418.35325) Full Text: DOI arXiv
Formica, Maria Rosaria; Kozachenko, Yurii Vasilovich; Ostrovsky, Eugeny; Sirota, Leonid Exponential tail estimates in the Law of Ordinary Logarithm (LOL) for arrays of random variables. arXiv:1809.04719 Preprint, arXiv:1809.04719 [math.PR] (2018). BibTeX Cite \textit{M. R. Formica} et al., ``Exponential tail estimates in the Law of Ordinary Logarithm (LOL) for arrays of random variables'', Preprint, arXiv:1809.04719 [math.PR] (2018) Full Text: arXiv OA License
Akulenko, L. D.; Zinkevich, YA. S.; Kozachenko, T. A.; Leshchenko, D. D. The evolution of the motions of a rigid body close to the Lagrange case under the action of an unsteady torque. (English. Russian original) Zbl 1443.70025 J. Appl. Math. Mech. 81, No. 2, 79-84 (2017); translation from Prikl. Mat. Mekh. 81, No. 2, 115-122 (2017). MSC: 70E20 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., J. Appl. Math. Mech. 81, No. 2, 79--84 (2017; Zbl 1443.70025); translation from Prikl. Mat. Mekh. 81, No. 2, 115--122 (2017) Full Text: DOI
Korolyuk, V. (ed.); Kozachenko, Yu. (ed.); Mishura, Yu. (ed.); Sakhno, L. (ed.) Editorial. (English) Zbl 1386.01013 Theory Probab. Math. Stat. 95, 1-2 (2017) and Teor. Jmovirn. Mat. Stat. 95, 1 (2016). MSC: 01A70 PDFBibTeX XMLCite \textit{V. Korolyuk} (ed.) et al., Theory Probab. Math. Stat. 95, 1--2 (2017; Zbl 1386.01013) Full Text: DOI
Korolyuk, V. S.; Zakuzylo, O. K.; Gorodnij, M. F.; Kartashov, M. V.; Kozachenko, Yu. V.; Kulinich, G. L.; Mishura, Yu. S.; Moklyachuk, M. P.; Radchenko, V. M.; Vyshens’kyj, V. A. Anatolij Volodymyrovych Skorokhod (10.09.1930–03.01.2011). (Ukrainian) Zbl 1249.01028 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 26, 62-63 (2011). MSC: 01A70 60-03 62-03 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 26, 62--63 (2011; Zbl 1249.01028)
Samojlenko, A. M.; Vyshens’kyj, V. A.; Kyrychenko, V. V.; Kozachenko, Yu. V.; Kulinich, G. L.; Nagornyj, V. N.; Plakhotnyk, V. V.; Shevchuk, I. O.; Parasyuk, I. O.; Kapudtyan, O. V.; Gorodnij, M. F.; Meleshko, V. V.; Stanzhyts’kyj, O. M.; Samojlenko, V. G. To the 65 anniversary from the date of Mykola Oleksijovych Perestyuk birth. (Ukrainian. English summary) Zbl 1249.01032 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 25, 61 (2011). MSC: 01A70 34-03 PDFBibTeX XMLCite \textit{A. M. Samojlenko} et al., Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 25, 61 (2011; Zbl 1249.01032)
Zinkevich, Ya. S.; Kozachenko, T. A.; Rachinskaya, A. L.; Leshchenko, D. D. Optimal deceleration of rotation of a symmetric gyrostat with a moving mass in a resistive medium. (Russian. English summary) Zbl 1487.70031 Mekh. Tverd. Tela 40, 152-161 (2010). MSC: 70E15 70F99 70Q05 PDFBibTeX XMLCite \textit{Ya. S. Zinkevich} et al., Mekh. Tverd. Tela 40, 152--161 (2010; Zbl 1487.70031) Full Text: Link
Beghin, L.; Kozachenko, Yu.; Orsingher, E.; Sakhno, L. On the solutions of linear odd-order heat-type equations with random initial conditions. (English) Zbl 1147.82328 J. Stat. Phys. 127, No. 4, 721-739 (2007). MSC: 82B30 PDFBibTeX XMLCite \textit{L. Beghin} et al., J. Stat. Phys. 127, No. 4, 721--739 (2007; Zbl 1147.82328) Full Text: DOI
Akulenko, L. D.; Kozachenko, T. A.; Leshchenko, D. D. Perturbed rotational motions of a rigid body under the action of a restoring moment that depends on precession and nutation angles. (Russian) Zbl 1487.70004 Mekh. Tverd. Tela 35, 97-102 (2005). MSC: 70E05 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., Mekh. Tverd. Tela 35, 97--102 (2005; Zbl 1487.70004) Full Text: Link
Akulenko, L. D.; Kozachenko, T. A.; Leshchenko, D. D. Perturbed rotational motions of a rigid body under the action of nonstationary restoring moment. (Russian) Zbl 1055.70002 Mekh. Tverd. Tela 32, 77-84 (2002). Reviewer: Boris Ivanovich Konosevich (Donetsk) MSC: 70E20 70E17 70K65 70K70 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., Mekh. Tverd. Tela 32, 77--84 (2002; Zbl 1055.70002)
Akulenko, L. D.; Kozachenko, T. A.; Leshchenko, D. D. Perturbed rotary motions of the solid body under the action of the non-stationary restoring moment, depending on the nutation angle. (Russian) Zbl 1047.70592 Mekh. Tverd. Tela 31, 57-62 (2001). Reviewer: Boris Ivanovich Konosevich (Donetsk) MSC: 70E20 70E17 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., Mekh. Tverd. Tela 31, 57--62 (2001; Zbl 1047.70592)
Kozachenko, Yu. V.; Kozachenko, L. F. Modeling Gaussian isotropic random fields on a sphere. (English. Ukrainian original) Zbl 0978.60048 J. Math. Sci., New York 107, No. 2, 3751-3757 (2001); translation from Zh. Obchysl. Prykl. Mat. 83, 57-64 (1998). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G60 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{L. F. Kozachenko}, Zh. Obchysl. Prykl. Mat. 83, No. 1, 57--64 (1998; Zbl 0978.60048); translation from Zh. Obchysl. Prykl. Mat. 83, 57--64 (1998)
Kozachenko, Yu. V.; Kozachenko, L. F. A test for a hypothesis on the correlation function of Gaussian random processes. (English. Ukrainian original) Zbl 0839.62082 J. Math. Sci., New York 77, No. 5, 3437-3444 (1995). MSC: 62M07 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{L. F. Kozachenko}, Obchisl. Prikl. Mat. 77, 61--74 (1993; Zbl 0839.62082) Full Text: DOI
Kozachenko, Yu. V.; Kozachenko, L. F. A criterion of hypothesis testing for the covariance function of Gaussian stochastic processes. (Ukrainian) Zbl 0828.62077 Obchisl. Prikl. Mat. 77, 61-74 (1993). MSC: 62M07 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{L. F. Kozachenko}, Obchisl. Prikl. Mat. 77, 61--74 (1993; Zbl 0828.62077)
Kozachenko, Yu. V.; Kozachenko, L. F. On the modelling of Gaussian stationary processes with absolutely continuous spectrum. (English. Russian original) Zbl 0839.60041 Theory Probab. Math. Stat. 47, 49-55 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 47-54 (1992). Reviewer: A.V.Yakimov (Novgorod) MSC: 60G15 60G10 42A10 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{L. F. Kozachenko}, Theory Probab. Math. Stat. 47, 1 (1992; Zbl 0839.60041); translation from Teor. Jmovirn. Mat. Stat. 47, 47--54 (1992)
Vovk, L. B.; Kozachenko, Yu. V. On the rate of convergence in the Lévy-Baxter theorems for certain classes of random processes. (English. Russian original) Zbl 0836.60042 Theory Probab. Math. Stat. 46, 23-32 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 25-36 (1992). MSC: 60G15 60F25 PDFBibTeX XMLCite \textit{L. B. Vovk} and \textit{Yu. V. Kozachenko}, Theory Probab. Math. Stat. 46, 1 (1992; Zbl 0836.60042); translation from Teor. Jmovirn. Mat. Stat. 46, 25--36 (1992)
Kozachenko, Yu. V.; Kozachenko, L. F. On accuracy of modeling of Gaussian stochastic processes in \(L^ 2(0,T)\). (Russian) Zbl 0786.60045 Vychisl. Prikl. Mat. 74, 88-93 (1992). Reviewer: T.Semerdjiev (Sofia) MSC: 60G10 60G15 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{L. F. Kozachenko}, Vychisl. Prikl. Mat. 74, 88--93 (1992; Zbl 0786.60045)
Volkovich, V. L.; Voloshin, A. F.; Kozachenko, T. B.; Mashchenko, S. O. Application of the methods of successive analysis of the variants for approximation of polyhedron sets. (Russian. English summary) Zbl 0753.65052 Kibernetika 1991, No. 2, 116-120 (1991). MSC: 65K05 90C05 52B12 PDFBibTeX XMLCite \textit{V. L. Volkovich} et al., Kibernetika 1991, No. 2, 116--120 (1991; Zbl 0753.65052)
Kozachenko, Yu. V.; Kozachenko, L. F. Simulation accuracy of stationary Gaussian stochastic processes in \(L^ 2(0,T)\). (English. Russian original) Zbl 0836.60037 J. Math. Sci., New York 72, No. 3, 3137-3143 (1994); translation from Vychisl. Prikl. Mat. 75, 108-115 (1991). MSC: 60G10 60G15 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{L. F. Kozachenko}, Vychisl. Prikl. Mat. 75, 108--115 (1991; Zbl 0836.60037); translation from Vychisl. Prikl. Mat. 75, 108--115 (1991)
Kozachenko, Yu. V.; Kozachenko, L. F. Accuracy of modeling stationary Gaussian stochastic processes in \(L^ 2(0,T)\). (Russian) Zbl 0786.60046 Vychisl. Prikl. Mat. 75, 108-115 (1991). Reviewer: T.Semerdjiev (Sofia) MSC: 60G10 60G15 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{L. F. Kozachenko}, Vychisl. Prikl. Mat. 75, 108--115 (1991; Zbl 0786.60046)
Kozachenko, Yu. V.; Kozachenko, L. F. Simulation accuracy of Gaussian stochastic processes in \(L^ 2(0,T)\). (English. Russian original) Zbl 0836.60036 J. Math. Sci., New York 72, No. 2, 3040-3043 (1994); translation from Vychisl. Prikl. Mat. 74, 88-93 (1990). MSC: 60G10 60G15 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{L. F. Kozachenko}, Vychisl. Prikl. Mat. 74, 88--93 (1990; Zbl 0836.60036); translation from Vychisl. Prikl. Mat. 74, 88--93 (1990)
Kozachenko, L. F. Entropy criteria for testing hypotheses on the distribution of random variables. (Russian) Zbl 0925.62077 Issled. Oper. ASU 36, 7-11 (1990). MSC: 62F03 62B10 PDFBibTeX XMLCite \textit{L. F. Kozachenko}, Issled. Oper. ASU 36, 7--11 (1990; Zbl 0925.62077)
Kozachenko, L. F.; Leonenko, N. N. Sample estimate of the entropy of a random vector. (English. Russian original) Zbl 0633.62005 Probl. Inf. Transm. 23, No. 1-2, 95-101 (1987); translation from Probl. Peredachi Inf. 23, No. 2, 9-16 (1987). MSC: 62B10 PDFBibTeX XMLCite \textit{L. F. Kozachenko} and \textit{N. N. Leonenko}, Probl. Inf. Transm. 23, No. 1--2, 95--101 (1987; Zbl 0633.62005); translation from Probl. Peredachi Inf. 23, No. 2, 9--16 (1987)