Koroliuk, V. S.; Koroliouk, D.; Dovgyi, S. O. Diffusion process with evolution and its parameter estimation. (English. Russian original) Zbl 1454.62248 Cybern. Syst. Anal. 56, No. 5, 732-738 (2020); translation from Kibern. Sist. Anal. 2020, No. 5, 55-62 (2020). MSC: 62M05 60J60 62F10 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Cybern. Syst. Anal. 56, No. 5, 732--738 (2020; Zbl 1454.62248); translation from Kibern. Sist. Anal. 2020, No. 5, 55--62 (2020) Full Text: DOI Link
Korolyuk, Volodymyr S.; Koroliouk, Dmytro V. Filtering of stationary Gaussian statistical experiments. (English. Ukrainian original) Zbl 1455.60057 J. Math. Sci., New York 246, No. 1, 51-59 (2020); translation from Ukr. Mat. Visn. 16, No. 3, 372-382 (2019). MSC: 60G10 62M20 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{D. V. Koroliouk}, J. Math. Sci., New York 246, No. 1, 51--59 (2020; Zbl 1455.60057); translation from Ukr. Mat. Visn. 16, No. 3, 372--382 (2019) Full Text: DOI arXiv
Koroliouk, D.; Koroliuk, V. S. Equilibrium in Wright-Fisher models of population genetics. (English. Russian original) Zbl 1420.92077 Cybern. Syst. Anal. 55, No. 2, 253-258 (2019); translation from Kibern. Sist. Anal. 2019, No. 2, 96-101 (2019). MSC: 92D10 92D15 PDFBibTeX XMLCite \textit{D. Koroliouk} and \textit{V. S. Koroliuk}, Cybern. Syst. Anal. 55, No. 2, 253--258 (2019; Zbl 1420.92077); translation from Kibern. Sist. Anal. 2019, No. 2, 96--101 (2019) Full Text: DOI arXiv
Koroliuk, V. S.; Samoilenko, I. V. A bound for the remainder term in the asymptotic expansion of a functional constructed from a semi-Markov random evolution. (English. Ukrainian original) Zbl 1481.60141 Theory Probab. Math. Stat. 98, 217-227 (2019); translation from Teor. Jmovirn. Mat. Stat. 98, 205-214 (2018). MSC: 60J25 35C20 PDFBibTeX XMLCite \textit{V. S. Koroliuk} and \textit{I. V. Samoilenko}, Theory Probab. Math. Stat. 98, 217--227 (2019; Zbl 1481.60141); translation from Teor. Jmovirn. Mat. Stat. 98, 205--214 (2018) Full Text: DOI
Berezans’kyi, Yu. M.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Marchenko, V. O.; Pastur, L. A.; Perestyuk, M. O.; Khruslov, E. Ya.; Sharkovs’kyi, O. M.; Boichuk, O. A.; Hutlyans’kyi, V. Ya.; Kochubei, A. N.; Kushnir, R. M.; Nikitin, A. H.; Portenko, M. I.; Antonyuk, O. V.; Parasyuk, I. O.; Ronto, M. I.; Tkachenko, V. I.; Trofimchuk, S. I. Anatolii Mykhailovych Samoilenko (on his 80th birthday). (English. Ukrainian original) Zbl 1419.01007 Ukr. Math. J. 70, No. 1, 1-4 (2018); translation from Ukr. Mat. Zh. 70, No. 1, 3-6 (2018). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. M. Berezans'kyi} et al., Ukr. Math. J. 70, No. 1, 1--4 (2018; Zbl 1419.01007); translation from Ukr. Mat. Zh. 70, No. 1, 3--6 (2018) Full Text: DOI
Koroliouk, V. S.; Samoĭlenko, I. V. Asymptotic expansion of a functional constructed from a semi-Markov random evolution in the scheme of diffusion approximation. (English. Ukrainian original) Zbl 1402.60096 Theory Probab. Math. Stat. 96, 83-100 (2018); translation from Teor. Jmovirn. Mat. Stat. 96, 84-99 (2016). MSC: 60J25 35C20 35R60 PDFBibTeX XMLCite \textit{V. S. Koroliouk} and \textit{I. V. Samoĭlenko}, Theory Probab. Math. Stat. 96, 83--100 (2018; Zbl 1402.60096); translation from Teor. Jmovirn. Mat. Stat. 96, 84--99 (2016) Full Text: DOI
Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M. Models of perishable queueing-inventory systems with server vacations. (English. Russian original) Zbl 1385.93008 Cybern. Syst. Anal. 54, No. 1, 31-44 (2018); translation from Kibern. Sist. Anal. 2018, No. 1, 35-50 (2018). MSC: 93A30 90B05 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Cybern. Syst. Anal. 54, No. 1, 31--44 (2018; Zbl 1385.93008); translation from Kibern. Sist. Anal. 2018, No. 1, 35--50 (2018) Full Text: DOI
Koroliouk, Dmytro Volodymyrovych; Korolyuk, Volodymyr Semenovych Filtration of stationary Gaussian statistical experiments. (English. Ukrainian original) Zbl 1445.39016 J. Math. Sci., New York 229, No. 1, 30-35 (2018); translation from Ukr. Mat. Visn. 14, No. 2, 192-200 (2017). MSC: 39A50 62B15 62M20 PDFBibTeX XMLCite \textit{D. V. Koroliouk} and \textit{V. S. Korolyuk}, J. Math. Sci., New York 229, No. 1, 30--35 (2018; Zbl 1445.39016); translation from Ukr. Mat. Visn. 14, No. 2, 192--200 (2017) Full Text: DOI
Samoilenko, A. M.; Berezans’kyi, Yu. M.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Perestyuk, M. O.; Sharkovs’kyi, O. M.; Boichuk, O. A.; Nikitin, A. H.; Parasyuk, I. O. Yurii Oleksiiovych Mitropol’skii (03.01.1917–14.06.2008), outstanding mathematician and mechanician (on the 100th anniversary of his birth). (English. Ukrainian original) Zbl 1457.01022 Ukr. Math. J. 69, No. 1, 161-172 (2017); translation from Ukr. Mat. Zh. 69, No. 1, 132-144 (2017). MSC: 01A70 PDFBibTeX XMLCite \textit{A. M. Samoilenko} et al., Ukr. Math. J. 69, No. 1, 161--172 (2017; Zbl 1457.01022); translation from Ukr. Mat. Zh. 69, No. 1, 132--144 (2017) Full Text: DOI
Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M. Asymptotic analysis of the system with server vacation and perishable inventory. (English. Russian original) Zbl 1383.93010 Cybern. Syst. Anal. 53, No. 4, 543-553 (2017); translation from Kibern. Sist. Anal. 2017, No. 4, 59-70 (2017). MSC: 93A30 90B05 60K25 60K20 93E03 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Cybern. Syst. Anal. 53, No. 4, 543--553 (2017; Zbl 1383.93010); translation from Kibern. Sist. Anal. 2017, No. 4, 59--70 (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
Koroliouk, D.; Koroliuk, V. S. Adapted statistical experiments with random change of time. (English) Zbl 1388.62005 Rykov, Vladimir V. (ed.) et al., Analytical and computational methods in probability theory. First international conference, ACMPT 2017, Moscow, Russia, October 23–27, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-71503-2/pbk; 978-3-319-71504-9/ebook). Lecture Notes in Computer Science 10684, 523-537 (2017). MSC: 62B15 60G44 60K05 PDFBibTeX XMLCite \textit{D. Koroliouk} and \textit{V. S. Koroliuk}, Lect. Notes Comput. Sci. 10684, 523--537 (2017; Zbl 1388.62005) Full Text: DOI
Koroliuk, Dmitry V.; Koroliuk, V. S. A difference diffusion model with two equilibrium states. (English. Russian original) Zbl 1380.93229 Cybern. Syst. Anal. 53, No. 6, 914-924 (2017); translation from Kibern. Sist. Anal. 2017, No. 6, 107-117 (2017). MSC: 93E03 93C55 93A30 90C15 PDFBibTeX XMLCite \textit{D. V. Koroliuk} and \textit{V. S. Koroliuk}, Cybern. Syst. Anal. 53, No. 6, 914--924 (2017; Zbl 1380.93229); translation from Kibern. Sist. Anal. 2017, No. 6, 107--117 (2017) Full Text: DOI arXiv
Koroliuk, V. S.; Samoilenko, I. V. Large deviations problem for random evolution processes. (English. Ukrainian original) Zbl 1357.60032 Theory Probab. Math. Stat. 93, 93-101 (2016); translation from Teor. Jmovirn. Mat. Stat. 93, 87-94 (2015). MSC: 60F10 60G51 60J60 60J55 60F17 60G60 60-02 PDFBibTeX XMLCite \textit{V. S. Koroliuk} and \textit{I. V. Samoilenko}, Theory Probab. Math. Stat. 93, 93--101 (2016; Zbl 1357.60032); translation from Teor. Jmovirn. Mat. Stat. 93, 87--94 (2015) Full Text: DOI
Koroliouk, Dmitri V.; Bertotti, Maria Letizia; Koroliuk, V. S. Stochastic behavioral models. Classification. (English. Russian original) Zbl 1354.93143 Cybern. Syst. Anal. 52, No. 6, 884-895 (2016); translation from Kibern. Sist. Anal. 2016, No. 6, 60-72 (2016). MSC: 93E03 93C55 60J10 62H30 PDFBibTeX XMLCite \textit{D. V. Koroliouk} et al., Cybern. Syst. Anal. 52, No. 6, 884--895 (2016; Zbl 1354.93143); translation from Kibern. Sist. Anal. 2016, No. 6, 60--72 (2016) Full Text: DOI Link
Koroliuk, Volodymyr S.; Limnios, Nikolaos; Samoilenko, Igor V. Lévy and Poisson approximations of switched stochastic systems by a semimartingale approach. (Approximations de Lévy et de Poisson des systèmes stochastiques modulés, via une approche basée sur les semi-martingales.) (English. Abridged French version) Zbl 1339.60028 C. R., Math., Acad. Sci. Paris 354, No. 7, 723-728 (2016). MSC: 60F17 60F05 60G51 60G55 60J55 60J75 60G48 60G44 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., C. R., Math., Acad. Sci. Paris 354, No. 7, 723--728 (2016; Zbl 1339.60028) Full Text: DOI OA License
Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M. Methods for analysis of multi-channel queueing system with instantaneous and delayed feedbacks. (English. Russian original) Zbl 1338.90132 Cybern. Syst. Anal. 52, No. 1, 58-70 (2016); translation from Kibern. Sist. Anal. 2016, No. 1, 64-77 (2016). MSC: 90B22 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Cybern. Syst. Anal. 52, No. 1, 58--70 (2016; Zbl 1338.90132); translation from Kibern. Sist. Anal. 2016, No. 1, 64--77 (2016) Full Text: DOI
Korolyuk, D. V. Statistical experiments with persistent linear regression in the Markov random medium. (Ukrainian. English summary) Zbl 1340.62003 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2015, No. 4, 12-17 (2015). MSC: 62B15 62J02 PDFBibTeX XMLCite \textit{D. V. Korolyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2015, No. 4, 12--17 (2015; Zbl 1340.62003) Full Text: DOI OA License
Koroliuk, V. S.; Yurchenko, I. V.; Yasynskyy, V. K. Behavior of the second moment of the solution to the autonomous stochastic linear partial differential equation with random parameters in the right-hand side. (English. Russian original) Zbl 1327.60130 Cybern. Syst. Anal. 51, No. 1, 56-63 (2015); translation from Kibern. Sist. Anal. 2015, No. 1, 65-72 (2015). MSC: 60H15 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Cybern. Syst. Anal. 51, No. 1, 56--63 (2015; Zbl 1327.60130); translation from Kibern. Sist. Anal. 2015, No. 1, 65--72 (2015) Full Text: DOI
Koroliuk, Vladimir S.; Manca, Raimondo; D’Amico, Guglielmo Stochastic impulsive processes on a superposition of two renewal processes. (English. Ukrainian original) Zbl 1322.60188 J. Math. Sci., New York 206, No. 1, 58-68 (2015); translation from Ukr. Mat. Visn. 11, No. 3, 366-379 (2014). MSC: 60K15 60K05 60J60 60F10 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., J. Math. Sci., New York 206, No. 1, 58--68 (2015; Zbl 1322.60188); translation from Ukr. Mat. Visn. 11, No. 3, 366--379 (2014) Full Text: DOI Link
Koroliuk, Volodymyr S. B. V. Gnedenko: classic of limit theorems in the theory of probability. (English) Zbl 1311.01022 Methodol. Comput. Appl. Probab. 17, No. 1, 5-14 (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 01A60 60F05 60-03 PDFBibTeX XMLCite \textit{V. S. Koroliuk}, Methodol. Comput. Appl. Probab. 17, No. 1, 5--14 (2015; Zbl 1311.01022) Full Text: DOI
Koroliouk, D. V.; Koroliuk, V. S.; Rosato, N. Equilibrium processes in biomedical data analysis: the Wright-Fisher model. (English. Russian original) Zbl 1323.93008 Cybern. Syst. Anal. 50, No. 6, 890-897 (2014); translation from Kibern. Sist. Anal. 2014, No. 6, 80-86 (2014). MSC: 93A14 62J05 93E03 92C99 PDFBibTeX XMLCite \textit{D. V. Koroliouk} et al., Cybern. Syst. Anal. 50, No. 6, 890--897 (2014; Zbl 1323.93008); translation from Kibern. Sist. Anal. 2014, No. 6, 80--86 (2014) Full Text: DOI
Korolyuk, Volodymyr S.; Samoilenko, Igor V. Large deviations for random evolutions in the scheme of asymptotically small diffusion. (English) Zbl 1322.60016 Korolyuk, Volodymyr (ed.) et al., Modern stochastics and applications. Selected papers based on the presentations at the international conference “Modern stochastics: theory and applications III”, dedicated to B. V. Gnedenko on the occasion of his 100th birthday and to M. I. Yadrenko on the occasion of his 80th birthday, Kyiv, Ukraine, September 10–14, 2012. Cham: Springer (ISBN 978-3-319-03511-6/hbk; 978-3-319-03512-3/ebook). Springer Optimization and Its Applications 90, 203-219 (2014). MSC: 60F10 60J60 60J25 60J65 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{I. V. Samoilenko}, Springer Optim. Appl. 90, 203--219 (2014; Zbl 1322.60016) Full Text: DOI
Koroliuk, V. S.; Manca, R.; D’Amico, G. Storage impulsive processes on increasing time intervals. (English) Zbl 1329.60267 Theory Probab. Math. Stat. 89, 71-81 (2014); translation from Teor. Jmovirn. Mat. Stat. 89, 64–74 (2013). MSC: 60J25 60J05 60J60 60F10 60K05 60J45 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Theory Probab. Math. Stat. 89, 71--81 (2014; Zbl 1329.60267); translation from Teor. Jmovirn. Mat. Stat. 89, 64--74 (2013) Full Text: DOI
Korolyuk, D. V. Diffusion approximation of statistical experiments with persistent nonlinear regression and equilibrium. (Ukrainian. English summary) Zbl 1313.62004 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 8, 28-34 (2014). MSC: 62B15 62J02 60J60 PDFBibTeX XMLCite \textit{D. V. Korolyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 8, 28--34 (2014; Zbl 1313.62004) Full Text: DOI OA License
Korolyuk, V. S.; Samoĭlenko, I. V. Large deviations for impulsive processes of accumulation in a phase merging scheme. (Ukrainian. English summary) Zbl 1313.60033 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 7, 7-14 (2014). MSC: 60F10 60G07 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{I. V. Samoĭlenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 7, 7--14 (2014; Zbl 1313.60033) Full Text: DOI OA License
Koroliuk, Vladimir S.; Manca, Raimondo; D’Amico, Guglielmo Storage impulsive processes in the merging phase space. (English) Zbl 1304.60054 J. Math. Sci., New York 196, No. 5, 644-651 (2014) and Ukr. Mat. Visn. 10, No. 3, 333-342 (2013). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 60G50 60K05 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., J. Math. Sci., New York 196, No. 5, 644--651 (2014; Zbl 1304.60054) Full Text: DOI
Korolyuk, D. V. Diffusion approximation of statistical experiments with persistent linear regression and equilibrium. (Russian. English summary) Zbl 1313.62003 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 3, 18-24 (2014). MSC: 62B15 62J05 60J60 PDFBibTeX XMLCite \textit{D. V. Korolyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 3, 18--24 (2014; Zbl 1313.62003) Full Text: DOI OA License
Korolyuk, V. S. (ed.); Mishura, Yu. S. (ed.); Sakhno, L. M. (ed.) News of scientific life. (English) Zbl 1298.00310 Theory Probab. Appl. 58, No. 1, 172 (2014); translation from Teor. Veroyatn. Primen. 58, No. 1, 206 (2013). MSC: 00B25 60-06 PDFBibTeX XMLCite \textit{V. S. Korolyuk} (ed.) et al., Theory Probab. Appl. 58, No. 1, 172 (2014; Zbl 1298.00310); translation from Teor. Veroyatn. Primen. 58, No. 1, 206 (2013) Full Text: DOI
Korolyuk, Volodymyr (ed.); Limnios, Nikolaos (ed.); Mishura, Yuliya (ed.); Sakhno, Lyudmyla (ed.); Shevchenko, Georgiy (ed.) Modern stochastics and applications. Selected papers based on the presentations at the international conference “Modern stochastics: theory and applications III”, dedicated to B. V. Gnedenko on the occasion of his 100th birthday and to M. I. Yadrenko on the occasion of his 80th birthday, Kyiv, Ukraine, September 10–14, 2012. (English) Zbl 1283.60008 Springer Optimization and Its Applications 90. Cham: Springer (ISBN 978-3-319-03511-6/hbk; 978-3-319-03512-3/ebook). xvii, 349 p. (2014). MSC: 60-06 60E05 60G07 60Fxx 60Hxx 62G05 62P05 91G70 00B25 PDFBibTeX XMLCite \textit{V. Korolyuk} (ed.) et al., Modern stochastics and applications. Selected papers based on the presentations at the international conference ``Modern stochastics: theory and applications III'', dedicated to B. V. Gnedenko on the occasion of his 100th birthday and to M. I. Yadrenko on the occasion of his 80th birthday, Kyiv, Ukraine, September 10--14, 2012. Cham: Springer (2014; Zbl 1283.60008) Full Text: DOI
Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. Anatolii Mykhailovych Samoilenko (on his 75th birthday). (English. Ukrainian original) Zbl 1275.01007 Ukr. Math. J. 65, No. 1, 1-4 (2013); translation from Ukr. Mat. Zh. 65, No. 1, 3-6 (2013). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. M. Berezans'kyi} et al., Ukr. Math. J. 65, No. 1, 1--4 (2013; Zbl 1275.01007); translation from Ukr. Mat. Zh. 65, No. 1, 3--6 (2013) Full Text: DOI
Korolyuk, V. S.; Samojlenko, I. V. Potential operator of the Ornstein-Uhlenbeck process with applications. (Ukrainian. English summary) Zbl 1289.60061 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 3, 21-27 (2013). MSC: 60G07 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{I. V. Samojlenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 3, 21--27 (2013; Zbl 1289.60061)
Korolyuk, Dmitrii V. Recurrent statistical experiments with persistent linear regression. (English. Russian original) Zbl 1335.62122 J. Math. Sci., New York 190, No. 4, 600-605 (2013); translation from Ukr. Mat. Visn. 9, No. 4, 560-567 (2012). MSC: 62M07 60G42 62E20 PDFBibTeX XMLCite \textit{D. V. Korolyuk}, J. Math. Sci., New York 190, No. 4, 600--605 (2013; Zbl 1335.62122); translation from Ukr. Mat. Visn. 9, No. 4, 560--567 (2012) Full Text: DOI
Koroliuk, V. S. Dynamic random evolutions on increasing time intervals. (English. Ukrainian original) Zbl 1287.60092 Theory Probab. Math. Stat. 85, 83-91 (2012); translation from Teor. Jmovirn. Mat. Stat. 85, 75-83 (2011). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J25 60F17 60F05 PDFBibTeX XMLCite \textit{V. S. Koroliuk}, Theory Probab. Math. Stat. 85, 83--91 (2012; Zbl 1287.60092); translation from Teor. Jmovirn. Mat. Stat. 85, 75--83 (2011) 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)
Korolyuk, Volodymyr; Kozachenko, Yuriy; Mishura, Yuliya; Shevchenko, Georgiy; Syta, Halyna Anatolii Volodymyrovych Skorokhod (1930–2011). (English) Zbl 1236.60003 Stochastic Processes Appl. 122, No. 3, 715-724 (2012). MSC: 60-03 01A70 PDFBibTeX XMLCite \textit{V. Korolyuk} et al., Stochastic Processes Appl. 122, No. 3, 715--724 (2012; Zbl 1236.60003) Full Text: DOI
Koroliuk, V. S.; Yurchenko, I. V.; Yasynskyy, V. K. Asymptotics of the state vector of delayed impulsive diffusion systems with Markov parameters. (English. Russian original) Zbl 1329.60183 Cybern. Syst. Anal. 47, No. 4, 571-585 (2011); translation from Kibern. Sist. Anal. 2011, No. 4, 79-94 (2011). MSC: 60H10 60J05 60J60 34K50 34K45 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Cybern. Syst. Anal. 47, No. 4, 571--585 (2011; Zbl 1329.60183); translation from Kibern. Sist. Anal. 2011, No. 4, 79--94 (2011) Full Text: DOI
Korolyuk, Vladimir Semenovich Random evolutions with locally independent increments on increasing time intervals. (English. Ukrainian original) Zbl 1291.60155 J. Math. Sci., New York 179, No. 2, 273-289 (2011); translation from Ukr. Mat. Visn. 8, No. 2, 220-240 (2011). MSC: 60J25 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, J. Math. Sci., New York 179, No. 2, 273--289 (2011; Zbl 1291.60155); translation from Ukr. Mat. Visn. 8, No. 2, 220--240 (2011) 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)
Korolyuk, V. S. Large deviation principle for random evolutions. (Ukrainian. English summary) Zbl 1249.60037 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 25, 4-6 (2011). MSC: 60F10 60B10 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 25, 4--6 (2011; Zbl 1249.60037)
Koroliuk, Volodymyr S. Large deviation problems for Markov random evolution with independent increments in the scheme of asymptotically small diffusion. (English) Zbl 1315.60036 Commun. Stat., Theory Methods 40, No. 19-20, 3385-3395 (2011). MSC: 60F10 60G51 60G60 60J25 PDFBibTeX XMLCite \textit{V. S. Koroliuk}, Commun. Stat., Theory Methods 40, No. 19--20, 3385--3395 (2011; Zbl 1315.60036) Full Text: DOI
Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. Poisson approximation of impulsive recurrent process with semi-Markov switching. (English) Zbl 1236.60086 Stochastic Anal. Appl. 29, No. 5, 769-778 (2011). Reviewer: Ken-ichi Yoshihara (Yokohama) MSC: 60K15 60K37 60B10 60F17 60H25 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Stochastic Anal. Appl. 29, No. 5, 769--778 (2011; Zbl 1236.60086) Full Text: DOI arXiv
Koroliuk, V. S.; Limnios, N. Reliability of semi-Markov systems with asymptotic merging phase space. (English) Zbl 1404.60133 Rykov, Vladimir V. (ed.) et al., Mathematical and statistical models and methods in reliability. Applications to medicine, finance, and quality control. Invited papers based on the presentation at the 6th international conference (MMR 2009), Moscow, Russia, June 22–26, 2009. Boston, MA: Birkhäuser (ISBN 978-0-8176-4970-8/hbk; 978-0-8176-4971-5/ebook). Statistics for Industry and Technology, 3-18 (2010). MSC: 60K15 60K20 PDFBibTeX XMLCite \textit{V. S. Koroliuk} and \textit{N. Limnios}, in: Mathematical and statistical models and methods in reliability. Applications to medicine, finance, and quality control. Invited papers based on the presentation at the 6th international conference (MMR 2009), Moscow, Russia, June 22--26, 2009. Boston, MA: Birkhäuser. 3--18 (2010; Zbl 1404.60133) Full Text: DOI
Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. Lévy approximation of impulsive recurrent process with semi-Markov switching. (English) Zbl 1249.60171 Theory Stoch. Process. 16, No. 2, 77-85 (2010). MSC: 60J55 60B10 60F17 60K10 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Theory Stoch. Process. 16, No. 2, 77--85 (2010; Zbl 1249.60171)
Korolyuk, V. S. On selected works of I. M. Kovalenko. (Ukrainian) Zbl 1232.01021 Teor. Jmovirn. Mat. Stat. 82, 9-12 (2010). MSC: 01A70 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Teor. Ĭmovirn. Mat. Stat. 82, 9--12 (2010; Zbl 1232.01021)
Korolyuk, V. S. Problem of large deviations for Markov random evolutions with independent increments in the scheme of asymptotically small diffusion. (Ukrainian, English) Zbl 1224.60225 Ukr. Mat. Zh. 62, No. 5, 643-650 (2010); translation in Ukr. Math. J. 62, No. 5, 739-747 (2010). MSC: 60K15 60F10 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Ukr. Mat. Zh. 62, No. 5, 643--650 (2010; Zbl 1224.60225); translation in Ukr. Math. J. 62, No. 5, 739--747 (2010) Full Text: DOI
Korolyuk, V. S. Markov random evolutions with independent increments in the asymptotically small diffusion scheme. (Russian. English summary) Zbl 1224.60039 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 6, 22-26 (2010). MSC: 60F10 60J60 60K99 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 6, 22--26 (2010; Zbl 1224.60039)
Koroliuk, V. S.; Kutoviy, O.; Limnios, N. Occupation measure functionals in merging phase space. (English) Zbl 1200.60075 Stochastics 82, No. 1-3, 149-163 (2010). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60K15 60K37 60J55 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Stochastics 82, No. 1--3, 149--163 (2010; Zbl 1200.60075) Full Text: DOI
Korolyuk, V. S.; Limnios, N.; Samoilenko, I. V. Lévy approximation of an impulse recurrent process with Markov switching. (Ukrainian, English) Zbl 1224.60196 Teor. Jmovirn. Mat. Stat. 80, 15-22 (2009); translation in Theory Probab. Math. Stat. 80, 15-23 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60J55 60B10 60F17 60K10 60G46 60G60 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Teor. Ĭmovirn. Mat. Stat. 80, 15--22 (2009; Zbl 1224.60196); translation in Theory Probab. Math. Stat. 80, 15--23 (2010) Full Text: DOI arXiv
Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. Poisson approximation of processes with locally independent increments with Markov switching. (English) Zbl 1224.60195 Theory Stoch. Process. 15, No. 1, 40-48 (2009). MSC: 60J55 60B10 60F17 60K10 60G46 60G60 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Theory Stoch. Process. 15, No. 1, 40--48 (2009; Zbl 1224.60195) Full Text: arXiv
Albeverio, S.; Koroliuk, V. S.; Samoilenko, I. V. Asymptotic expansion of semi-Markov random evolutions. (English) Zbl 1179.60058 Stochastics 81, No. 5, 477-502 (2009). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60K15 45E99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Stochastics 81, No. 5, 477--502 (2009; Zbl 1179.60058) Full Text: DOI arXiv
Koroliuk, V. S.; Koroliuk, V. V.; Limnios, N. Queuing systems with semi-Markov flow in average and diffusion approximation schemes. (English) Zbl 1175.60081 Methodol. Comput. Appl. Probab. 11, No. 2, 201-209 (2009). Reviewer: Jerzy Martyna (Kraków) MSC: 60K25 60K15 60K20 58J37 PDFBibTeX XMLCite \textit{V. S. Koroliuk} et al., Methodol. Comput. Appl. Probab. 11, No. 2, 201--209 (2009; Zbl 1175.60081) Full Text: DOI
Koroliuk, Volodymyr S. Storage processes in Poisson approximation scheme. (English) Zbl 1224.60097 Theory Stoch. Process. 14, No. 3-4, 67-76 (2008). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G50 60K15 60K37 PDFBibTeX XMLCite \textit{V. S. Koroliuk}, Theory Stoch. Process. 14, No. 3--4, 67--76 (2008; Zbl 1224.60097)
Gaishun, I. V.; Il’in, V. A.; Izobov, N. A.; Korolyuk, V. S.; Koshlyakov, V. N.; Kravchenko, V. F.; Lukovskii, I. A.; Martynyuk, A. A.; Millionshchikov, V. M.; Mishchenko, E. F.; Pokhozhaev, S. I.; Rozov, N. Kh.; Samoilenko, A. M.; Sharkovskii, A. N.; Vasil’ev, A. B. Yurii Alekseevich Mitropol’skii. (English) Zbl 1175.01075 Differ. Equ. 44, No. 12, 1776-1778 (2008). MSC: 01A70 PDFBibTeX XMLCite \textit{I. V. Gaishun} et al., Differ. Equ. 44, No. 12, 1776--1778 (2008; Zbl 1175.01075) Full Text: DOI
Mitropol’skij, Yu. A.; Berezans’kyj, Yu. M.; Gorbachuk, M. L.; Korolyuk, V. S.; Lukovs’kyj, I. O.; Makarov, V. L.; Perestyuk, M. O.; Samojlenko, Yu. S.; Sharko, V. V.; Sharkovs’kyj, O. M.; Dorogovtsev, A. A.; Drozd, Yu. A.; Rebenko, O. L.; Ronto, A. M Fifty years devoted to science (on the 70th birthday of Anatolii Mykhailovych Samoilenko). (Ukrainian, English) Zbl 1155.01334 Ukr. Mat. Zh. 60, No. 1, 3-7 (2008); translation in Ukr. Math. J. 60, No. 1, 1-5 (2008). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. A. Mitropol'skij} et al., Ukr. Mat. Zh. 60, No. 1, 3--7 (2008; Zbl 1155.01334); translation in Ukr. Math. J. 60, No. 1, 1--5 (2008) Full Text: DOI
Korolyuk, V. S. Accumulation processes in the scheme of Poisson approximation. (Ukrainian, English) Zbl 1164.60067 Mat. Metody Fiz.-Mekh. Polya 51, No. 2, 26-33 (2008); translation in J. Math. Sci., New York 162, No. 1, 22-33 (2009). Reviewer: R. K. Azimov (Andizhan) MSC: 60K15 60K20 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Mat. Metody Fiz.-Mekh. Polya 51, No. 2, 26--33 (2008; Zbl 1164.60067); translation in J. Math. Sci., New York 162, No. 1, 22--33 (2009)
Koroliuk, V. S.; Limnios, N. First integrals in the diffusion approximation scheme. (English) Zbl 1153.60369 Appl. Math. Lett. 21, No. 3, 227-231 (2008). MSC: 60H35 60K35 PDFBibTeX XMLCite \textit{V. S. Koroliuk} and \textit{N. Limnios}, Appl. Math. Lett. 21, No. 3, 227--231 (2008; Zbl 1153.60369) Full Text: DOI
Korolyuk, V. S.; Yasinskii, V. K.; Yurchenko, I. V. Stability of diffusion stochastic functional differential equations with Markov parameters. (English. Russian original) Zbl 1153.34049 Cybern. Syst. Anal. 44, No. 1, 56-67 (2008); translation from Kibern. Sist. Anal. 2008, No. 1, 74-88 (2008). MSC: 34K50 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Cybern. Syst. Anal. 44, No. 1, 56--67 (2008; Zbl 1153.34049); translation from Kibern. Sist. Anal. 2008, No. 1, 74--88 (2008) Full Text: DOI
Samoilenko, A. M.; Berezans’kyi, Yu. M.; Koshlyakov, V. M.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Perestyuk, M. O.; Boichuk, O. A.; Lykova, O. B.; Lymarchenko, O. S.; Samoilenko, V. H. On the 90th birthday of Yurii Oleksiiovych Mytropol’s’kyi. (English. Ukrainian original) Zbl 1268.01035 Nonlinear Oscil., N.Y. 10, No. 1, 1-3 (2007); translation from Nelinijni Kolyvannya 10, No. 1, 4-5 (2007). MSC: 01A70 35-03 70-03 PDFBibTeX XMLCite \textit{A. M. Samoilenko} et al., Nonlinear Oscil., N.Y. 10, No. 1, 1--3 (2007; Zbl 1268.01035); translation from Nelinijni Kolyvannya 10, No. 1, 4--5 (2007) Full Text: DOI
Korolyuk, V. S.; Musurivskii, V. I.; Yurchenko, I. V. Stability of dynamic systems with aftereffect under Markov perturbations. (English. Russian original) Zbl 1153.34352 Cybern. Syst. Anal. 43, No. 6, 876-885 (2007); translation from Kibern. Sist. Anal. 2007, No. 6, 134-146 (2007). MSC: 34K50 34K20 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Cybern. Syst. Anal. 43, No. 6, 876--885 (2007; Zbl 1153.34352); translation from Kibern. Sist. Anal. 2007, No. 6, 134--146 (2007) Full Text: DOI
Koroliuk, Vladimir; Limnios, Nikolaos Diffusion approximation algorithms in merging phase space. (English) Zbl 1142.60395 Theory Stoch. Process. 13, No. 29, Part 1-2, 98-102 (2007). Reviewer: A. D. Borisenko (Kyïv) MSC: 60K15 PDFBibTeX XMLCite \textit{V. Koroliuk} and \textit{N. Limnios}, Theory Stoch. Process. 13(29), No. 1--2, 98--102 (2007; Zbl 1142.60395)
Chabaniuk, Yaroslav; Koroliuk, Vladimir S.; Limnios, Nikolaos Fluctuation of stochastic systems with average equilibrium point. (English) Zbl 1141.60015 C. R., Math., Acad. Sci. Paris 345, No. 7, 405-410 (2007). Reviewer: V. S. Borkar (Mumbai) MSC: 60F17 60J60 60H10 PDFBibTeX XMLCite \textit{Y. Chabaniuk} et al., C. R., Math., Acad. Sci. Paris 345, No. 7, 405--410 (2007; Zbl 1141.60015) Full Text: DOI Link
Gaishun, I. V.; Izobov, N. A.; Il’in, V. A.; Korolyuk, V. S.; Koshlyakov, V. N.; et al. Yurii Alekseevich Mitropol’skii (a tribute in honor of his ninetieth birthday). (English. Russian original) Zbl 1139.01312 Differ. Equ. 43, No. 1, 1-9 (2007); translation from Differ. Uravn. 43, No. 1, 3-10 (2007). MSC: 01A70 PDFBibTeX XMLCite \textit{I. V. Gaishun} et al., Differ. Equ. 43, No. 1, 1--9 (2007; Zbl 1139.01312); translation from Differ. Uravn. 43, No. 1, 3--10 (2007) Full Text: DOI
Korolyuk, V.; Carkovs, Je. On stochastic stability of Markov evolution associated with impulse Markov dynamical systems. (English) Zbl 1164.37334 Teor. Jmovirn. Mat. Stat. 75, 57-60 (2006). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 37H10 34D20 PDFBibTeX XMLCite \textit{V. Korolyuk} and \textit{Je. Carkovs}, Teor. Ĭmovirn. Mat. Stat. 75, 57--60 (2006; Zbl 1164.37334) Full Text: Link
Korolyuk, V. S.; Medvedev, Yu. I.; Prokhorov, Yu. V.; Sachkov, V. N.; Sergienko, I. V.; Shiryaev, A. N.; Skorokhod, A. V. About scientific research of Igor Nikolayevich Kovalenko (On the seventieth anniversary of the birth). (English) Zbl 1126.01322 Random Oper. Stoch. Equ. 13, No. 2, 147-152 (2005). MSC: 01A70 60-03 94-03 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Random Oper. Stoch. Equ. 13, No. 2, 147--152 (2005; Zbl 1126.01322)
Korolyuk, V. S. Stochastic systems with averaging in the scheme of diffusion approximation. (Ukrainian, English) Zbl 1093.60056 Ukr. Mat. Zh. 57, No. 9, 1235-1252 (2005); translation in Ukr. Math. J. 57, No. 9, 1442-1465 (2005). MSC: 60J70 60J25 60K15 60J60 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Ukr. Mat. Zh. 57, No. 9, 1235--1252 (2005; Zbl 1093.60056); translation in Ukr. Math. J. 57, No. 9, 1442--1465 (2005) Full Text: DOI
Korolyuk, V. S.; Limnios, N. Diffusion approximation with equilibrium for evolutionary systems switched by semi-Markov processes. (English) Zbl 1093.60057 Ukr. Mat. Zh. 57, No. 9, 1253-1260 (2005) and Ukr. Math. J. 57, No. 9, 1466-1476 (2005). MSC: 60J70 60K15 60J60 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Ukr. Mat. Zh. 57, No. 9, 1253--1260 (2005; Zbl 1093.60057) Full Text: DOI Link
Korolyuk, V. S.; Limnios, N. Poisson approximation of increment processes with Markov switching. (English) Zbl 1090.60073 Theory Probab. Appl. 49, No. 4, 629-644 (2005) and Teor. Veroyatn. Primen. 49, No. 4, 726-742 (2004). MSC: 60J75 60G55 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Theory Probab. Appl. 49, No. 4, 629--644 (2005; Zbl 1090.60073) Full Text: DOI
Koroliuk, Vladimir S.; Limnios, Nikolaos Stochastic systems in merging phase space. (English) Zbl 1101.60003 Hackensack, NJ: World Scientific (ISBN 981-256-591-4/hbk; 978-981-270-312-5/ebook). xv, 331 p. (2005). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60-02 60-01 60B10 60E05 60J25 60J60 60J70 60J80 60K15 60K37 PDFBibTeX XMLCite \textit{V. S. Koroliuk} and \textit{N. Limnios}, Stochastic systems in merging phase space. Hackensack, NJ: World Scientific (2005; Zbl 1101.60003) Full Text: Link
Korolyuk, V. S.; Medvedev, Yu. I.; Prokhorov, Yu. V.; Sachkov, V. N.; Sergienko, I. V.; Skorokhod, A. V.; Shiryaev, A. N. I. N. Kovalenko’s scientific works. (English) Zbl 1085.01513 Cybern. Syst. Anal. 41, No. 1, 39-42 (2005); translation from Kibern. Sist. Anal. 2005, No. 1, 50-53 (2005). MSC: 01A70 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Cybern. Syst. Anal. 41, No. 1, 39--42 (2005; Zbl 1085.01513); translation from Kibern. Sist. Anal. 2005, No. 1, 50--53 (2005) Full Text: DOI
Korolyuk, Vladimir S.; Limnios, Nicolaos Diffusion approximation of evolutionary systems with equilibrium in asymptotic split phase space. (English) Zbl 1075.60099 Teor. Jmovirn. Mat. Stat. 70, 63-73 (2004) and Theory Probab. Math. Stat. 70, 71-82 (2005). MSC: 60J55 60J75 60F17 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Teor. Ĭmovirn. Mat. Stat. 70, 63--73 (2005; Zbl 1075.60099)
Korolyuk, Vladimir S.; Limnios, Nikolaos Compound Poisson approximation with drift for stochastic additive functionals with Markov and semi-Markov switching. (English) Zbl 1069.60033 Baeza-Yates, Ricardo (ed.) et al., Recent advances in applied probability. Papers presented at the second international workshop for Asian public key infrastructures, IWAP 2002, Taipei, Taiwan, October 30 – November 1, 2002. New York, NY: Springer (ISBN 0-387-23378-4/hbk). 279-297 (2005). Reviewer: Ken-ichi Yoshihara (Tokyo) MSC: 60F17 60J27 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, in: Recent advances in applied probability. Papers presented at the international workshop on applied probability, IWAP 2002, Caracas, Venezuela, January 14--17, 2002. New York, NY: Springer. 279--297 (2005; Zbl 1069.60033)
Korolyuk, V. S.; Yasinskiĭ, V. K.; Antonyuk, S. V. Optimal control of stochastic dynamic systems with past history and Poisson switchings. (English. Russian original) Zbl 1091.93044 Cybern. Syst. Anal. 40, No. 6, 883-888 (2004); translation from Kibern. Sist. Anal. 2004, No. 6, 112-118 (2004). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 93E20 60H10 49J55 49L20 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Cybern. Syst. Anal. 40, No. 6, 883--888 (2004; Zbl 1091.93044); translation from Kibern. Sist. Anal. 2004, No. 6, 112--118 (2004) Full Text: DOI
Korolyuk, Vladimir S.; Limnios, Nikolaos Lévy approximation of increment processes with Markov switching. (English) Zbl 1063.60044 Stochastics Stochastics Rep. 76, No. 5, 383-394 (2004). Reviewer: Zdzisław Rychlik (Lublin) MSC: 60F17 60J25 60J75 60K37 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Stochastics Stochastics Rep. 76, No. 5, 383--394 (2004; Zbl 1063.60044) Full Text: DOI
Korolyuk, V. S.; Limnios, N. Semi-Markov random walk in Poisson approximation scheme. (English) Zbl 1114.60322 Commun. Stat., Theory Methods 33, No. 3, 507-516 (2004). MSC: 60K15 60K05 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Commun. Stat., Theory Methods 33, No. 3, 507--516 (2004; Zbl 1114.60322) Full Text: DOI
Korolyuk, Vladimir S.; Limnios, Nikolaos Average and diffusion approximation of stochastic evolutionary systems in an asymptotic split state space. (English) Zbl 1041.60061 Ann. Appl. Probab. 14, No. 1, 489-516 (2004). Reviewer: Dominique Lepingle (Orléans) MSC: 60J55 60B10 60F17 60K10 60G46 60G60 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Ann. Appl. Probab. 14, No. 1, 489--516 (2004; Zbl 1041.60061) Full Text: DOI
Korolyuk, V. S.; Limnios, N. Increment processes and its stochastic exponential with Markov switching in Poisson approximation scheme. (English) Zbl 1045.60097 Comput. Math. Appl. 46, No. 7, 1073-1079 (2003). MSC: 60K15 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Comput. Math. Appl. 46, No. 7, 1073--1079 (2003; Zbl 1045.60097) Full Text: DOI
Korolyuk, V. S.; Mamonova, H. V. The stationary phase merging of two independent processes. (Ukrainian. English summary) Zbl 1020.60080 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 5, 21-25 (2003). MSC: 60K15 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{H. V. Mamonova}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 5, 21--25 (2003; Zbl 1020.60080)
Korolyuk, Vladimir S.; Limnios, Nikolaos Markov additive processes in a phase merging scheme. (English) Zbl 1026.60091 Theory Stoch. Process. 8(24), No. 3-4, 213-225 (2002). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60J25 60F17 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Theory Stoch. Process. 8(24), No. 3--4, 213--225 (2002; Zbl 1026.60091)
Berezans’kyj, Yu. M.; Korolyuk, V. S.; Mytropol’skyj, Yu. A.; Samoilenko, A. M.; Skrypnyk, I. V. Mykola Ivanovych Shkil’ (on his 70th birthday). (Ukrainian. English summary) Zbl 1017.01507 Ukr. Mat. Zh. 54, No. 12, 1589-1591 (2002). MSC: 01A70 34-03 PDFBibTeX XMLCite \textit{Yu. M. Berezans'kyj} et al., Ukr. Mat. Zh. 54, No. 12, 1589--1591 (2002; Zbl 1017.01507)
Mitropol’skyj, Yu. O.; Samoilenko, A. M.; Skorokhod, A. V.; Korolyuk, V. S.; Perestyuk, M. O.; Portenko, M. I.; Kozachenko, Yu. V.; Buldygin, V. V.; Sheremeta, M. M. Mykhajlo Josypovych Yadrenko (on his 70-th birthday). (English. Ukrainian original) Zbl 1029.01525 Ukr. Math. J. 54, No. 4, 533-535 (2002); translation from Ukr. Mat. Zh. 54, No. 4, 435-438 (2002). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. O. Mitropol'skyj} et al., Ukr. Mat. Zh. 54, No. 4, 435--438 (2002; Zbl 1029.01525); translation from Ukr. Mat. Zh. 54, No. 4, 435--438 (2002)
Korolyuk, V. S.; Chabanyuk, Ya. M. Stability of a dynamical system with semi-Markov switchings under conditions of stability of the averaged system. (English. Russian original) Zbl 1006.60090 Ukr. Math. J. 54, No. 2, 239-252 (2002); translation from Ukr. Mat. Zh. 54, No. 2, 195-204 (2002). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60K15 34D20 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{Ya. M. Chabanyuk}, Ukr. Mat. Zh. 54, No. 2, 195--204 (2002; Zbl 1006.60090); translation from Ukr. Mat. Zh. 54, No. 2, 195--204 (2002) Full Text: DOI
Mitropol’skij, Yu. A.; Samoilenko, A. M.; Skorokhod, A. V.; Korolyuk, V. S.; Dorohovtsev, A. A.; Kopytko, B. I.; Syta, H. M. Mykola Ivanovych Portenko (on his 60th birthday). (English. Ukrainian original) Zbl 1002.60500 Ukr. Math. J. 54, No. 2, 177-178 (2002); translation from Ukr. Mat. Zh. 54, No. 2, 147-148 (2002). MSC: 60-03 01A70 PDFBibTeX XMLCite \textit{Yu. A. Mitropol'skij} et al., Ukr. Mat. Zh. 54, No. 2, 147--148 (2002; Zbl 1002.60500); translation from Ukr. Mat. Zh. 54, No. 2, 147--148 (2002)
Korolyuk, V. S.; Limnios, N. Poisson approximation of homogeneous additive stochastic functionals with semi-Markov switchings. (English. Ukrainian original) Zbl 0998.60028 Theory Probab. Math. Stat. 64, 75-84 (2002); translation from Teor. Jmovirn. Mat. Stat. 64, 66-74 (2001). Reviewer: N.M.Zinchenko (Kyïv) MSC: 60F17 60J35 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Teor. Ĭmovirn. Mat. Stat. 64, 66--74 (2001; Zbl 0998.60028); translation from Teor. Jmovirn. Mat. Stat. 64, 66--74 (2001)
Balakrishnan, N.; Limnios, N.; Korolyuk, V. S. V. S. Korolyuk’s scientific career in questions and answers. (English. Ukrainian original) Zbl 0998.01553 Theory Probab. Math. Stat. 64, 1-7 (2002); translation from Teor. Jmovirn. Mat. Stat. 64, 3-9 (2001). Reviewer: N.M.Zinchenko (Kyïv) MSC: 01A70 60-03 62-03 PDFBibTeX XMLCite \textit{N. Balakrishnan} et al., Teor. Ĭmovirn. Mat. Stat. 64, 3--9 (2001; Zbl 0998.01553); translation from Teor. Jmovirn. Mat. Stat. 64, 3--9 (2001)
Chetouani, H.; Korolyuk, V. S. Stationary distribution for repairable systems. (English) Zbl 0978.60102 Appl. Stoch. Models Bus. Ind. 16, No. 3, 179-196 (2000). Reviewer: N.M.Zinchenko (Kyïv) MSC: 60K20 90B25 62P30 PDFBibTeX XMLCite \textit{H. Chetouani} and \textit{V. S. Korolyuk}, Appl. Stoch. Models Bus. Ind. 16, No. 3, 179--196 (2000; Zbl 0978.60102) Full Text: DOI
Kovalenko, I. M.; Korolyuk, V. S.; Portenko, M. I.; Samojlenko, A. M.; Syta, G. M.; Yadrenko, M. I. Anatolij Vladimirovich Skorokhod (on his 70th birthday). (English. Ukrainian original) Zbl 0972.01038 Ukr. Math. J. 52, No. 9, 1321-1323 (2000); translation from Ukr. Mat. Zh. 52, No. 9, 1155-1157 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 01A70 60-03 60H25 60H10 PDFBibTeX XMLCite \textit{I. M. Kovalenko} et al., Ukr. Mat. Zh. 52, No. 9, 1155--1157 (2000; Zbl 0972.01038); translation from Ukr. Mat. Zh. 52, No. 9, 1155--1157 (2000)
Korolyuk, V. S. Some remarks on the article “On the creative contribution of V. S. Korolyuk to the development of probability theory”. (English. Ukrainian original) Zbl 0973.60048 Ukr. Math. J. 52, No. 8, 1179-1181 (2000); translation from Ukr. Mat. Zh. 52, No. 8, 1031-1033 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G50 60J50 60K15 60J45 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Ukr. Mat. Zh. 52, No. 8, 1031--1033 (2000; Zbl 0973.60048); translation from Ukr. Mat. Zh. 52, No. 8, 1031--1033 (2000) Full Text: DOI
Korolyuk, V. S.; Svishchuk, A. V. Evolution stochastic systems. Averaging algorithms and diffusion approximation. (Evolyutsionnye stokhasticheskie sistemy. Algoritmy usredneniya i diffuzionnoj approksimatsii.) (Russian) Zbl 0968.60004 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya. 33. Kyïv: Instytut Matematyky NAN Ukraïny. 344 p. (2000). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60-02 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{A. V. Svishchuk}, Evolyutsionnye stokhasticheskie sistemy. Algoritmy usredneniya i diffuzionnoj approksimatsii (Russian). Kyïv: Instytut Matematyky NAN Ukraïny (2000; Zbl 0968.60004)
Korolyuk, V. (ed.); Portenko, N. (ed.); Syta, H. (ed.) Skorokhod’s ideas in probability theory. (English) Zbl 0956.00022 Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 32. Kyïv: Institute of Mathematics of NAS of Ukraine. 336 p. (2000). MSC: 00B15 60-06 PDFBibTeX XMLCite \textit{V. Korolyuk} (ed.) et al., Skorokhod's ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine (2000; Zbl 0956.00022)
Korolyuk, Vladimir S.; Limnios, Nikolaos Evolutionary systems in an asymptotic split phase space. (English) Zbl 0965.60086 Limnios, N. (ed.) et al., Recent advances in reliability theory. Methodology, practice, and inference. Boston, MA: Birkhäuser. Statistics for Industry and Technology. 145-161 (2000). Reviewer: Anatoly Swishchuk (Kyïv) MSC: 60K15 60J70 60G51 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, in: Recent advances in reliability theory. Methodology, practice, and inference. Boston, MA: Birkhäuser. 145--161 (2000; Zbl 0965.60086)
Korolyuk, V. S.; Limnios, N. Diffusion approximation for integral functionals in the double merging and averaging scheme. (English. Ukrainian original) Zbl 0955.60041 Theory Probab. Math. Stat. 60, 87-94 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 77-84 (1999). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60G25 60F17 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Teor. Ĭmovirn. Mat. Stat. 60, 77--84 (1999; Zbl 0955.60041); translation from Teor. Jmovirn. Mat. Stat. 60, 77--84 (1999)
Korolyuk, V. S.; Korolyuk, V. V. Stochastic models of systems. (English) Zbl 0960.60004 Mathematics and its Applications (Dordrecht). 469. Dordrecht: Kluwer Academic Publishers. xii, 185 p. Dfl 175.00; $ 105.00; £62.00 (1999). Reviewer: W.König (Berlin) MSC: 60-02 60Kxx PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{V. V. Korolyuk}, Stochastic models of systems. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0960.60004)
Korolyuk, Vladimir S. Semi-Markov random walks. (English) Zbl 0970.60099 Janssen, Jacques (ed.) et al., Semi-Markov models and applications. Dordrecht: Kluwer Academic Publishers. 61-75 (1999). Reviewer: J.Preater (Keele) MSC: 60K20 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, in: Semi-Markov models and applications. Dordrecht: Kluwer Academic Publishers. 61--75 (1999; Zbl 0970.60099)
Berezanskij, Yu. M.; Kornijchuk, M. P.; Korolyuk, V. S. Anatolij Mykhajlovych Samojlenko. (English. Ukrainian original) Zbl 0938.01025 Ukr. Math. J. 50, No. 1, 1-2 (1998); translation from Ukr. Mat. Zh. 50, No. 1, 3-4 (1998). Reviewer: Valerie Samoilenko (Kyïv) MSC: 01A70 01A72 PDFBibTeX XMLCite \textit{Yu. M. Berezanskij} et al., Ukr. Mat. Zh. 50, No. 1, 1--2 (1999; Zbl 0938.01025); translation from Ukr. Mat. Zh. 50, No. 1, 3--4 (1998) Full Text: DOI
Korolyuk, V. S.; Limnios, N. Diffusion approximation of integral functionals in merging and averaging scheme. (English. Ukrainian original) Zbl 0958.60038 Theory Probab. Math. Stat. 59, 101-107 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 99-105 (1998). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G25 60J75 60F17 60J25 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Teor. Ĭmovirn. Mat. Stat. 59, 99--105 (1998; Zbl 0958.60038); translation from Teor. Jmorvirn. Mat. Stat. 59, 99--105 (1998)
Korolyuk, Vladimir S. Boundary layer in asymptotic analysis for random walks. (English) Zbl 0942.60025 Theory Stoch. Process. 4(20), No. 1-2, 25-36 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60G50 60J50 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Theory Stoch. Process. 4(20), No. 1--2, 25--36 (1998; Zbl 0942.60025)
Korolyuk, V. S.; Limnios, N. A singular perturbation approach for Liptser’s functional limit theorem and some extensions. (English) Zbl 0941.60089 Theory Probab. Math. Stat. 58, 83-87 (1999) and Teor. Jmovirn. Mat. Stat. 58, 76-80 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60J25 60F17 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Teor. Ĭmovirn. Mat. Stat. 58, 76--80 (1998; Zbl 0941.60089)
Korolyuk, V. S. Stability of stochastic systems in the diffusion-approximation scheme. (English. Russian original) Zbl 0934.93069 Ukr. Math. J. 50, No. 1, 40-54 (1998); translation from Ukr. Mat. Zh. 50, No. 1, 36-47 (1998). MSC: 93E15 93C70 60J60 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Ukr. Mat. Zh. 50, No. 1, 36--47 (1998; Zbl 0934.93069); translation from Ukr. Mat. Zh. 50, No. 1, 36--47 (1998) Full Text: DOI
Korolyuk, Vladimir S.; Derzko, Nicolas A.; Korolyuk, Vladimir V. Markovian repairman problems. Classification and approximation. (English) Zbl 0929.60072 Ionescu, D. C. (ed.) et al., Statistical and probabilistic models in reliability. 1st international conference on mathematical methods in reliability. Bucharest, Romania, September 16–19, 1997. Basel: Birkhäuser. Statistics for Industry and Technology. 143-151 (1998). Reviewer: P.R.Parthasarathy (Madras) MSC: 60K20 60J70 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., in: Statistical and probabilistic models in reliability. 1st international conference on Mathematical methods in reliability. Bucharest, Romania, September 16--19, 1997. Basel: Birkhäuser. 143--151 (1998; Zbl 0929.60072)