Edit Profile (opens in new tab) Korolyuk, Volodymyr Semenovych (b. 1925 d. 2020) Co-Author Distance Author ID: korolyuk.vladimir-semenovich Published as: Korolyuk, V. S.; Koroliuk, V. S.; Korolyuk, Vladimir S.; Koroliuk, Volodymyr S.; Koroliuk, Vladimir S.; Korolyuk, V.; Korolyuk, Vladimir Semenovich; Korolyuk, Volodymyr S.; Korolyuk, Volodymyr; Koroljuk, V. S.; Korolyuk, Volodymyr Semenovych; Koroliuk, Vladimir; Korolyuk, Vladimir; Koroliouk, V. S.; Koroljuk, W. S. more...less Further Spellings: Королюк Володимир Семенович External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 316 Publications since 1951, including 23 Books 25 Contributions as Editor · 2 Further Contributions Biographic References: 9 Publications Co-Authors: 162 Co-Authors with 255 Joint Publications 4,769 Co-Co-Authors all top 5 Co-Authors 83 single-authored 52 Borovskikh, Yuri V. 28 Limnios, Nikolaos 23 Turbin, Anatoly F. 16 Swishchuk, Anatoliy 15 Skorokhod, Anatoliĭ Volodymyrovych 13 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 12 Samoilenko, Igor V. 11 Gusak, Dmytro V. 10 Samoĭlenko, Anatoliĭ Mykhaĭlovych 9 Berezans’kyĭ, Yuriĭ Makarovych 8 Portenko, Mykola Ivanovych 7 Korolyuk, Vladimir V. 6 Lukovsky, Ivan Oleksandrovych 6 Mishura, Yuliya Stepanivna 6 Perestyuk, Mykola Oleksiĭovych 5 Gnedenko, Boris Vladimirovich 5 Kozachenko, Yuriĭ Vasyl’ovych 5 Lykova, Olga B. 5 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 5 Tomusyak, A. A. 4 Bogolyubov, Nikolaĭ Nikolaevich 4 Boĭchuk, Oleksandr Andriĭovych 4 Ezhov, Igor’ Ivanovich 4 Makarov, Volodymyr Leonidovych 4 Shurenkov, V. M. 4 Tkachenko, Eh. P. 4 Yadrenko, Mykhaĭlo Ĭosypovych 4 Yurchenko, I. V. 3 Bratijchuk, N. S. 3 D’Amico, Guglielmo 3 Eĭdel’man, Samuïl Davydovych 3 Gorbachuk, Myroslav L’vovych 3 Kartashov, Mykola Valentynovych 3 Kovalenko, Igor Mykolaĭovych 3 Manca, Raimondo 3 Melikov, Agassi Z. 3 Melyaeva, O. 3 Nikitin, A. H. 3 Penev, I. P. 3 Pletnev, A. I. 3 Ponomarenko, Leonid A. 3 Rustamov, A. M. 3 Sakhno, Lyudmyla Mykhaĭlivna 3 Shiryaev, Al’bert Nikolaevich 3 Syta, Halyna M. 3 Velikii, A. P. 3 Yushchenko, E. L. 2 Brodi, S. M. 2 Danilyuk, Ivan Il’ich 2 Demenin, A. N. 2 Drozd, Yuriĭ Anatoliĭovych 2 Erugin, Nikolaĭ Pavlovich 2 Gaĭshun, Ivan Vasil’evich 2 Glushkov, Viktor Mikhaĭlovich 2 Gorodnii, M. F. 2 Il’in, Vladimir Aleksandrovich 2 Izobov, Nikolaĭ Alekseevich 2 Korneĭchuk, Nikolaĭ Pavlovich 2 Koroliouk, Dmytro Volodymyrovych 2 Koshlyakov, Vladimir Nikolaevich 2 Lebedintseva, E. P. 2 Medvedev, Yuriĭ Ivanovich 2 Mikhalevich, V. S. 2 Moklyachuk, Mykhaĭlo Pavlovych 2 Parasyuk, Igor O. 2 Parasyuk, Ostap Stepanovych 2 Pirliev, B. 2 Prokhorov, Yuriĭ Vasil’evich 2 Sachkov, Vladimir Nikolaevich 2 Samoĭlenko, Yuriĭ Stefanovych 2 Sergiyenko, Ivan Vasyl’ovych 2 Sharko, Volodymyr Vasil’ovych 2 Shevchenko, Georgiy M. 2 Skrypnyk, Igor Volodymyrovych 2 Statland, Eh. S. 2 Yasinskij, V. K. 2 Yasynsky, V. K. 1 Albeverio, Sergio A. 1 Alchekov, A. K. 1 Antonyuk, Oleksandra Viktorivna 1 Antonyuk, Svitlana V. 1 Bagro, G. S. 1 Balakrishnan, Narayanaswamy 1 Belousova, S. V. 1 Bertotti, Maria Letizia 1 Bogolyubov, Alekseĭ Nikolaevich 1 Borovkov, Aleksandr Alekseevich 1 Borysenko, Oleksandr Danylovych 1 Buldygin, Valeriĭ Volodymyrovych 1 Butko, T. K. 1 Carkovs, Jevgenijs 1 Chabaniuk, Yaroslav 1 Chabanyuk, Yaroslav M. 1 Cherenkov, A. P. 1 Chetouani, H. 1 Derzko, Nicolas A. 1 Diesperova, M. M. 1 Dobrovol’skij, V. V. 1 Dorogovtsev, Andriĭ Anatoliĭovych 1 Dorohovtsev, A. A. ...and 80 more Co-Authors all top 5 Serials 43 Ukraïns’kyĭ Matematychnyĭ Zhurnal 31 Ukrainian Mathematical Journal 17 Theory of Probability and its Applications 14 Cybernetics and Systems Analysis 13 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 12 Theory of Probability and Mathematical Statistics 11 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 9 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 8 Teoriya Veroyatnosteĭ i eë Primeneniya 8 Kibernetika 8 Theory of Stochastic Processes 6 Selected Translations in Mathematical Statistics and Probability 6 Soviet Mathematics. Doklady 5 Journal of Mathematical Sciences (New York) 4 Russian Mathematical Surveys 4 Uspekhi Matematicheskikh Nauk [N. S.] 4 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 4 Dopovidi Akademiï Nauk Ukraïns’koï RSR 4 Mathematics and its Applications (Dordrecht) 3 Cybernetics 3 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 2 Computers & Mathematics with Applications 2 Doklady Akademii Nauk SSSR 2 Differentsial’nye Uravneniya 2 Journal of Soviet Mathematics 2 Communications in Statistics. Theory and Methods 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Methodology and Computing in Applied Probability 2 Differential Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics 2 Doklady Akademii Nauk SSSR. Novaya Seriya 1 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Soviet Journal of Computer and Systems Sciences 1 Applied Mathematics Letters 1 The Annals of Applied Probability 1 Soviet Physics. Doklady 1 Stochastic Processes and their Applications 1 Stochastics and Stochastics Reports 1 Dopovidi Akademiï Nauk Ukraïni 1 Random Operators and Stochastic Equations 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Proceedings of A. Razmadze Mathematical Institute 1 Applied Stochastic Models in Business and Industry 1 Nonlinear Oscillations 1 Problemy Kibernetiki 1 Springer Optimization and Its Applications all top 5 Fields 238 Probability theory and stochastic processes (60-XX) 56 Statistics (62-XX) 42 History and biography (01-XX) 24 General and overarching topics; collections (00-XX) 19 Systems theory; control (93-XX) 18 Ordinary differential equations (34-XX) 9 Operations research, mathematical programming (90-XX) 8 Operator theory (47-XX) 7 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Partial differential equations (35-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 1,067 times in 718 Documents Cited by ▼ Year ▼ Theory of \(U\)-statistics. Updated and transl. from the Russian by P. V. Malyshev and D. V. Malyshev. Zbl 0785.60015 Korolyuk, V. S.; Borovskikh, Yu. V. 128 1994 Semi-Markov processes and their applications. (Polumarkovskie processy i ih prilozenija.). Zbl 0371.60106 Korolyuk, V. S.; Turbin, A. F. 82 1976 A manual on probability theory and mathematical statistics. (Spravochnik po teorii veroyatnostej i matematicheskoj statistike). 2nd ed., rev. and compl. Zbl 0608.60001 Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. 74 1985 Stochastic models of systems. Zbl 0960.60004 Korolyuk, V. S.; Korolyuk, V. V. 66 1999 Stochastic systems in merging phase space. Zbl 1101.60003 Koroliuk, Vladimir S.; Limnios, Nikolaos 66 2005 Mathematical foundations of phase extension of complex systems. (Математические основы фазового укрупнения сложных систем.) Zbl 0411.60003 Korolyuk, V. S.; Turbin, A. F. 55 1978 Markov renewal processes in problems of systems reliability. (Protsessy markovskogo vosstanovleniya v zadachakh nadezhnosti sistem). Zbl 0508.60073 Korolyuk, V. S.; Turbin, A. F. 38 1982 On ruin problems for a compound Poisson process. Zbl 0372.60069 Korolyuk, V. S. 22 1975 Diffusion approximation with equilibrium for evolutionary systems switched by semi-Markov processes. Zbl 1093.60057 Korolyuk, V. S.; Limnios, N. 20 2005 Semi-Markov random evolutions. Transl. from the Russian by V. Zayatas. Zbl 0813.60083 Korolyuk, V. S.; Swishchuk, A. V. 19 1994 On the maximum discrepancy between two empirical distributions. (Über die maximale Divergenz zweier empirischer Verteilungen.) Zbl 0044.13602 Gnedenko, B. V.; Korolyuk, V. S. 19 1951 Martingale approximation. Zbl 0912.60063 Borovskikh, Yu. V.; Korolyuk, V. S. 17 1997 Stochastic models of systems. (Stokhasticheskie modeli sistem.) Zbl 0753.60083 Korolyuk, V. S. 15 1989 Mathematical foundations of the state lumping of large systems. Transl. from the Russ. and upd. by V. V. Zayats and Y. A. Atanov. Zbl 0834.60001 Korolyuk, Vladimir S.; Turbin, Anatoly F. 14 1993 Asymptotic analysis of distributions in statistics (Asimptoticheskij analiz raspredelenij statistik). Zbl 0565.62003 Korolyuk, V. S.; Borovskikh, Yu. V. 13 1984 Diffusion approximation of stochastic Markov models with persistent regression. Zbl 0945.60028 Korolyuk, V. S.; Korolyuk, D. V. 11 1995 The theory of \(U\)-statistics. (Teoriya \(U\)-statistik.) Zbl 0744.60024 Korolyuk, V. S.; Borovskikh, Yu. V. 11 1989 On the stability of an autonomous dynamical system with fast Markov switchings. Zbl 0757.60051 Korolyuk, V. S. 11 1991 Semi-Markov processes and their applications. Zbl 0338.60061 Korolyuk, V. S.; Brodi, S. M.; Turbin, A. F. 11 1976 Methods for analysis of multi-channel queueing system with instantaneous and delayed feedbacks. Zbl 1338.90132 Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M. 10 2016 Method of potential in boundary problems for processes with independent increases and jumps of the same sign. Zbl 0368.60086 Korolyuk, V. S.; Suprun, B. I.; Shurenkov, V. M. 9 1976 On the asymptotic behavior of the sojourn time of a semi-Markov process in a subset of states. (Über das asymptotische Verhalten der Zustandszeit eines halb-Markovschen Prozesses in der Untermenge der Zustände.) Zbl 0185.46203 Korolyuk, V. S. 9 1969 Stability of stochastic systems in the diffusion-approximation scheme. Zbl 0934.93069 Korolyuk, V. S. 8 1998 Asymptotic analysis of the system with server vacation and perishable inventory. Zbl 1383.93010 Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M. 8 2017 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.) Zbl 1339.60028 Koroliuk, Volodymyr S.; Limnios, Nikolaos; Samoilenko, Igor V. 8 2016 On the first passage time across a given level for processes with independent increments. Zbl 0177.21304 Gusak, D. V.; Korolyuk, V. S. 8 1968 Diffusion approximation of evolutionary systems with equilibrium in asymptotic split phase space. Zbl 1075.60099 Korolyuk, Vladimir S.; Limnios, Nicolaos 7 2005 Analytic problems of the asymptotic behavior of probability distributions. (Аналитические проблемы асимптотики вероятностных распределений.) Zbl 0541.60017 Korolyuk, V. S.; Borovskikh, Yu. V. 7 1981 Handbook on probability theory and mathematical statistics. (Spravocnik po teorii verojatnostei i matematiceskoi statistike.). Zbl 0412.60001 7 1978 Problem of large deviations for Markov random evolutions with independent increments in the scheme of asymptotically small diffusion. Zbl 1224.60225 Korolyuk, V. S. 7 2010 The asymptotic behaviour of semi-Markov processes with a decomposable set of states. Zbl 0234.60105 Gusak, D. V.; Korolyuk, V. S. 7 1971 Central limit theorem for homogeneous processes with independent increments and semi-Markov commutations. Zbl 0539.60089 Korolyuk, V. S.; Korolyuk, V. V. 6 1983 Queuing systems with semi-Markov flow in average and diffusion approximation schemes. Zbl 1175.60081 Koroliuk, V. S.; Koroliuk, V. V.; Limnios, N. 6 2009 Models of perishable queueing-inventory systems with server vacations. Zbl 1385.93008 Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M. 6 2018 Poisson approximation of increment processes with Markov switching. Zbl 1090.60073 Korolyuk, V. S.; Limnios, N. 6 2005 On the maximum discrepancy between two empirical distributions. Zbl 0112.11006 Gnedenko, B. V.; Korolyuk, V. S. 6 1961 Equilibrium processes in biomedical data analysis: the Wright-Fisher model. Zbl 1323.93008 Koroliouk, D. V.; Koroliuk, V. S.; Rosato, N. 6 2014 Random permanents and symmetric statistics. Zbl 0817.60032 Korolyuk, V. S.; Borovskikh, Yu. V. 5 1992 Asymptotic theory of U-statistics. Zbl 0663.62059 Korolyuk, V. S.; Borovskikh, Yu. V. 5 1988 Central limit theorem for semi-Markov random evolutions. Zbl 0609.60035 Korolyuk, V. S.; Svishchuk, A. V. 5 1986 Asymptotic expansions in probability theory. Zbl 0101.35103 Gnedenko, B. V.; Korolyuk, V. S.; Skorokhod, A. V. 5 1961 Markov random evolutions with independent increments in the asymptotically small diffusion scheme. Zbl 1224.60039 Korolyuk, V. S. 5 2010 On the joint distribution of a process with stationary increments and its maximum. Zbl 0281.60032 Gusak, D. V.; Korolyuk, V. S. 5 1970 Random evolutions with locally independent increments on increasing time intervals. Zbl 1291.60155 Korolyuk, Vladimir Semenovich 5 2011 Boundary problems for a compound Poisson process. Zbl 0322.60070 Korolyuk, V. S. 5 1974 Semi-Markov random evolutions. (Polumarkovskie sluchajnye ehvolyutsii.) Zbl 0851.60086 Korolyuk, V. S.; Svishchuk, A. V. 4 1992 Asymptotic expansion of semi-Markov random evolutions. Zbl 1179.60058 Albeverio, S.; Koroliuk, V. S.; Samoilenko, I. V. 4 2009 Diffusion approximation for integral functionals in the double merging and averaging scheme. Zbl 0955.60041 Korolyuk, V. S.; Limnios, N. 4 1999 Asymptotic expansion for the distribution of absorption time of a weakly nonhomogeneous Markov chain. Zbl 0478.60079 Korolyuk, V. S.; Penev, I. P.; Turbin, A. F. 4 1981 Average and diffusion approximation of stochastic evolutionary systems in an asymptotic split state space. Zbl 1041.60061 Korolyuk, Vladimir S.; Limnios, Nikolaos 4 2004 Convergence rate for degenerate von Mises functionals. Zbl 0668.60037 Korolyuk, V. S.; Borovskikh, Yu. V. 4 1988 Stability of an autonomous dynamical system with rapid Markov switchings. Zbl 0725.34054 Korolyuk, V. S. 4 1990 Poisson approximation of impulsive recurrent process with semi-Markov switching. Zbl 1236.60086 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 4 2011 Poisson approximation of processes with locally independent increments with Markov switching. Zbl 1224.60195 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 4 2009 Die Verweilzeit eines semi-Markovschen Prozesses in einer fixierten Menge von Zuständen. Zbl 0135.19003 Korolyuk, V. S. 4 1965 Semi-Markovian processes and their application. Zbl 0183.23403 Ezhov, I. I.; Korolyuk, V. S. 4 1967 Random permanents. Zbl 0845.60020 Borovskikh, Yu. V.; Korolyuk, V. S. 3 1994 Increment processes and its stochastic exponential with Markov switching in Poisson approximation scheme. Zbl 1045.60097 Korolyuk, V. S.; Limnios, N. 3 2003 A central limit theorem for U-statistics in a Hilbert space. Zbl 0619.60006 Korolyuk, V. S.; Borovskikh, Yu. V. 3 1987 Superposition of Markov renewal processes. Zbl 0485.60086 Korolyuk, V. S. 3 1981 Aide-mémoire de théorie des probabilités et de statistique mathématique. Traduit du russe par Djilali Embarek. Zbl 0546.60002 Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. 3 1983 Stationary phase extension of Markov renewal processes. Zbl 0445.60071 Arias, E.; Korolyuk, V. S. 3 1980 Fluctuation of stochastic systems with average equilibrium point. Zbl 1141.60015 Chabaniuk, Yaroslav; Koroliuk, Vladimir S.; Limnios, Nikolaos 3 2007 Stability of dynamic systems with aftereffect under Markov perturbations. Zbl 1153.34352 Korolyuk, V. S.; Musurivskii, V. I.; Yurchenko, I. V. 3 2007 Evolutionary systems in an asymptotic split phase space. Zbl 0965.60086 Korolyuk, Vladimir S.; Limnios, Nikolaos 3 2000 Asymptotische Entwicklungen für die Verträglichkeitskriterien von A. N. Kolmogorov and N. V. Smirnov. Zbl 0056.12904 Korolyuk, V. S. 3 1954 Über die Abweichung der empirischen Verteilungen für den Fall zweier unabhängiger Stichproben. Zbl 0067.10501 Korolyuk, V. S. 3 1955 Über eine Methode zum Beweis von Grenzwertsätzen für gewisse Funktionale von semi-Markovschen Prozessen. Zbl 0246.60063 Korolyuk, V. S.; Turbin, A. F. 3 1972 On the results of asymptotic analysis in problems with boundaries. Zbl 0144.18608 Borovkov, A. A.; Korolyuk, V. S. 3 1965 Yurij L’vovich Daletskyj (to his 70th birthday). Zbl 0936.01022 Berezanskyj, Yu. M.; Korolyuk, V. S.; Krein, S. G.; Mitropolskij, Yu. A.; Samoilenko, A. M.; Skorokhod, A. V.; Skrypnik, I. V. 2 1997 Semi-Markov random evolutions-phase aggregation and applications. Zbl 0900.60077 Koroljuk, V. S.; Swishchuk, A. V. 2 1988 Stability of a dynamical system with semi-Markov switchings under conditions of stability of the averaged system. Zbl 1006.60090 Korolyuk, V. S.; Chabanyuk, Ya. M. 2 2002 Random permanents and symmetric statistics. Zbl 0813.60025 Borovskikh, Yuri V.; Korolyuk, Vladimir S. 2 1994 Limit theorems for Markov random evolutions in the scheme of asymptotic state lumping. Zbl 0529.60065 Korolyuk, V. S.; Turbin, A. F. 2 1983 Stationary distribution for repairable systems. Zbl 0978.60102 Chetouani, H.; Korolyuk, V. S. 2 2000 Large deviation problems for Markov random evolution with independent increments in the scheme of asymptotically small diffusion. Zbl 1315.60036 Koroliuk, Volodymyr S. 2 2011 Phase averaging of inhomogeneous semi-Markov random evolutions. Zbl 0678.60085 Korolyuk, V. S.; Svishchuk, A. V. 2 1989 Stochastic models of systems in reliability problems. Zbl 0936.60081 Korolyuk, Vladimir S. 2 1998 The central limit theorem for additive functionals of Markov and semi- Markov processes. Zbl 0673.60020 Korolyuk, V. S. 2 1986 Queuing system evolution in phase merging scheme. Zbl 1167.60360 Korolyk, V.; Mishkoy, Gh.; Mamonova, A.; Griza, Iu. 2 2008 Potential operator of the Ornstein-Uhlenbeck process with applications. Zbl 1289.60061 Korolyuk, V. S.; Samojlenko, I. V. 2 2013 Asymptotic enlarging of semi-Markov processes with an arbitrary state space. Zbl 0386.60064 Korolyuk, V. S.; Turbin, A. F. 2 1976 Semi-Markov models of complex stochastic systems. Zbl 0411.60090 Korolyuk, Vladimir Semenovich 2 1977 Approximation of nondegenerate U-statistics. Zbl 0593.62009 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1986 Characteristic functions, estimates of moments of U-statistics, and von Mises functionals. Zbl 0565.60019 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1984 Approximation of non-degenerate U-statistics. Zbl 0572.62022 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1985 The resolvent of a homogeneous process with independent increments killed on a halfaxis. Zbl 0575.60070 Bratijchuk, N. S.; Korolyuk, V. S. 2 1985 Expansions for U-statistics and von Mises functionals. Zbl 0605.62009 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1985 Random walk on a semi-axis on a superposition of two renewal processes. Zbl 0549.60063 Korolyuk, V. S.; Pirliev, B. 2 1984 Weak convergence of U-statistics to multiple stochastic integrals in Hilbert spaces. Zbl 0621.60007 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1987 U-statistics from bootstrap-sample. Zbl 0713.62050 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1990 Filtration of stationary Gaussian statistical experiments. Zbl 1445.39016 Koroliouk, Dmytro Volodymyrovych; Korolyuk, Volodymyr Semenovych 2 2018 Diffusion approximation of integral functionals in merging and averaging scheme. Zbl 0958.60038 Korolyuk, V. S.; Limnios, N. 2 1998 Evolution stochastic systems. Averaging algorithms and diffusion approximation. (Evolyutsionnye stokhasticheskie sistemy. Algoritmy usredneniya i diffuzionnoj approksimatsii.) Zbl 0968.60004 Korolyuk, V. S.; Svishchuk, A. V. 2 2000 On a hypothesis proposed by B. V. Gnedenko. Zbl 0106.34101 Zolotarev, V. M.; Korolyuk, V. S. 2 1962 On a method of programming. Zbl 0119.33701 Korolyuk, V. S. 2 1958 Storage impulsive processes in the merging phase space. Zbl 1304.60054 Koroliuk, Vladimir S.; Manca, Raimondo; D’Amico, Guglielmo 2 2014 Behavior of the second moment of the solution to the autonomous stochastic linear partial differential equation with random parameters in the right-hand side. Zbl 1327.60130 Koroliuk, V. S.; Yurchenko, I. V.; Yasynskyy, V. K. 2 2015 Perturbation of operators on the spectrum and asymptotical enlargement of Markov chains. Zbl 0319.60043 Korolyuk, V. S.; Turbin, A. F. 2 1975 Beschreibung reservierter Systeme mittels semi-Markovscher Prozesse. Zbl 0156.18604 Korolyuk, V. S.; Tomusyak, A. A. 2 1965 Models of perishable queueing-inventory systems with server vacations. Zbl 1385.93008 Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M. 6 2018 Filtration of stationary Gaussian statistical experiments. Zbl 1445.39016 Koroliouk, Dmytro Volodymyrovych; Korolyuk, Volodymyr Semenovych 2 2018 Asymptotic expansion of a functional constructed from a semi-Markov random evolution in the scheme of diffusion approximation. Zbl 1402.60096 Koroliouk, V. S.; Samoĭlenko, I. V. 1 2018 Asymptotic analysis of the system with server vacation and perishable inventory. Zbl 1383.93010 Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M. 8 2017 Methods for analysis of multi-channel queueing system with instantaneous and delayed feedbacks. Zbl 1338.90132 Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M. 10 2016 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.) Zbl 1339.60028 Koroliuk, Volodymyr S.; Limnios, Nikolaos; Samoilenko, Igor V. 8 2016 Stochastic behavioral models. Classification. Zbl 1354.93143 Koroliouk, Dmitri V.; Bertotti, Maria Letizia; Koroliuk, V. S. 1 2016 Behavior of the second moment of the solution to the autonomous stochastic linear partial differential equation with random parameters in the right-hand side. Zbl 1327.60130 Koroliuk, V. S.; Yurchenko, I. V.; Yasynskyy, V. K. 2 2015 B. V. Gnedenko: classic of limit theorems in the theory of probability. Zbl 1311.01022 Koroliuk, Volodymyr S. 1 2015 Equilibrium processes in biomedical data analysis: the Wright-Fisher model. Zbl 1323.93008 Koroliouk, D. V.; Koroliuk, V. S.; Rosato, N. 6 2014 Storage impulsive processes in the merging phase space. Zbl 1304.60054 Koroliuk, Vladimir S.; Manca, Raimondo; D’Amico, Guglielmo 2 2014 Storage impulsive processes on increasing time intervals. Zbl 1329.60267 Koroliuk, V. S.; Manca, R.; D’Amico, G. 1 2014 Potential operator of the Ornstein-Uhlenbeck process with applications. Zbl 1289.60061 Korolyuk, V. S.; Samojlenko, I. V. 2 2013 Anatolii Mykhailovych Samoilenko (on his 75th birthday). Zbl 1275.01007 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. 1 2013 Dynamic random evolutions on increasing time intervals. Zbl 1287.60092 Koroliuk, V. S. 1 2012 Random evolutions with locally independent increments on increasing time intervals. Zbl 1291.60155 Korolyuk, Vladimir Semenovich 5 2011 Poisson approximation of impulsive recurrent process with semi-Markov switching. Zbl 1236.60086 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 4 2011 Large deviation problems for Markov random evolution with independent increments in the scheme of asymptotically small diffusion. Zbl 1315.60036 Koroliuk, Volodymyr S. 2 2011 Large deviation principle for random evolutions. Zbl 1249.60037 Korolyuk, V. S. 1 2011 Problem of large deviations for Markov random evolutions with independent increments in the scheme of asymptotically small diffusion. Zbl 1224.60225 Korolyuk, V. S. 7 2010 Markov random evolutions with independent increments in the asymptotically small diffusion scheme. Zbl 1224.60039 Korolyuk, V. S. 5 2010 Occupation measure functionals in merging phase space. Zbl 1200.60075 Koroliuk, V. S.; Kutoviy, O.; Limnios, N. 1 2010 Lévy approximation of impulsive recurrent process with semi-Markov switching. Zbl 1249.60171 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 1 2010 Queuing systems with semi-Markov flow in average and diffusion approximation schemes. Zbl 1175.60081 Koroliuk, V. S.; Koroliuk, V. V.; Limnios, N. 6 2009 Asymptotic expansion of semi-Markov random evolutions. Zbl 1179.60058 Albeverio, S.; Koroliuk, V. S.; Samoilenko, I. V. 4 2009 Poisson approximation of processes with locally independent increments with Markov switching. Zbl 1224.60195 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 4 2009 Queuing system evolution in phase merging scheme. Zbl 1167.60360 Korolyk, V.; Mishkoy, Gh.; Mamonova, A.; Griza, Iu. 2 2008 First integrals in the diffusion approximation scheme. Zbl 1153.60369 Koroliuk, V. S.; Limnios, N. 1 2008 Fluctuation of stochastic systems with average equilibrium point. Zbl 1141.60015 Chabaniuk, Yaroslav; Koroliuk, Vladimir S.; Limnios, Nikolaos 3 2007 Stability of dynamic systems with aftereffect under Markov perturbations. Zbl 1153.34352 Korolyuk, V. S.; Musurivskii, V. I.; Yurchenko, I. V. 3 2007 Stochastic systems in merging phase space. Zbl 1101.60003 Koroliuk, Vladimir S.; Limnios, Nikolaos 66 2005 Diffusion approximation with equilibrium for evolutionary systems switched by semi-Markov processes. Zbl 1093.60057 Korolyuk, V. S.; Limnios, N. 20 2005 Diffusion approximation of evolutionary systems with equilibrium in asymptotic split phase space. Zbl 1075.60099 Korolyuk, Vladimir S.; Limnios, Nicolaos 7 2005 Poisson approximation of increment processes with Markov switching. Zbl 1090.60073 Korolyuk, V. S.; Limnios, N. 6 2005 Compound Poisson approximation with drift for stochastic additive functionals with Markov and semi-Markov switching. Zbl 1069.60033 Korolyuk, Vladimir S.; Limnios, Nikolaos 1 2005 Stochastic systems with averaging in the scheme of diffusion approximation. Zbl 1093.60056 Korolyuk, V. S. 1 2005 Average and diffusion approximation of stochastic evolutionary systems in an asymptotic split state space. Zbl 1041.60061 Korolyuk, Vladimir S.; Limnios, Nikolaos 4 2004 Lévy approximation of increment processes with Markov switching. Zbl 1063.60044 Korolyuk, Vladimir S.; Limnios, Nikolaos 1 2004 Increment processes and its stochastic exponential with Markov switching in Poisson approximation scheme. Zbl 1045.60097 Korolyuk, V. S.; Limnios, N. 3 2003 Stability of a dynamical system with semi-Markov switchings under conditions of stability of the averaged system. Zbl 1006.60090 Korolyuk, V. S.; Chabanyuk, Ya. M. 2 2002 Poisson approximation of homogeneous additive stochastic functionals with semi-Markov switchings. Zbl 0998.60028 Korolyuk, V. S.; Limnios, N. 1 2001 Evolutionary systems in an asymptotic split phase space. Zbl 0965.60086 Korolyuk, Vladimir S.; Limnios, Nikolaos 3 2000 Stationary distribution for repairable systems. Zbl 0978.60102 Chetouani, H.; Korolyuk, V. S. 2 2000 Evolution stochastic systems. Averaging algorithms and diffusion approximation. (Evolyutsionnye stokhasticheskie sistemy. Algoritmy usredneniya i diffuzionnoj approksimatsii.) Zbl 0968.60004 Korolyuk, V. S.; Svishchuk, A. V. 2 2000 Skorokhod’s ideas in probability theory. Zbl 0956.00022 1 2000 Anatolij Vladimirovich Skorokhod (on his 70th birthday). Zbl 0972.01038 Kovalenko, I. M.; Korolyuk, V. S.; Portenko, M. I.; Samojlenko, A. M.; Syta, G. M.; Yadrenko, M. I. 1 2000 Stochastic models of systems. Zbl 0960.60004 Korolyuk, V. S.; Korolyuk, V. V. 66 1999 Diffusion approximation for integral functionals in the double merging and averaging scheme. Zbl 0955.60041 Korolyuk, V. S.; Limnios, N. 4 1999 Stability of stochastic systems in the diffusion-approximation scheme. Zbl 0934.93069 Korolyuk, V. S. 8 1998 Stochastic models of systems in reliability problems. Zbl 0936.60081 Korolyuk, Vladimir S. 2 1998 Diffusion approximation of integral functionals in merging and averaging scheme. Zbl 0958.60038 Korolyuk, V. S.; Limnios, N. 2 1998 Boundary layer in asymptotic analysis for random walks. Zbl 0942.60025 Korolyuk, Vladimir S. 1 1998 A singular perturbation approach for Liptser’s functional limit theorem and some extensions. Zbl 0941.60089 Korolyuk, V. S.; Limnios, N. 1 1998 Martingale approximation. Zbl 0912.60063 Borovskikh, Yu. V.; Korolyuk, V. S. 17 1997 Yurij L’vovich Daletskyj (to his 70th birthday). Zbl 0936.01022 Berezanskyj, Yu. M.; Korolyuk, V. S.; Krein, S. G.; Mitropolskij, Yu. A.; Samoilenko, A. M.; Skorokhod, A. V.; Skrypnik, I. V. 2 1997 Random permanents of mixed sample matrices. Zbl 0948.60016 Kaneva, E. Yu.; Korolyuk, V. S. 1 1996 Diffusion approximation of stochastic Markov models with persistent regression. Zbl 0945.60028 Korolyuk, V. S.; Korolyuk, D. V. 11 1995 Normal approximation of random permanents. Zbl 0941.60047 Korolyuk, V. S.; Borovskikh, Yu. V. 1 1995 Average and stability of dynamical systems with rapid stochastic switchings. Zbl 0971.93079 Korolyuk, Vladimir S. 1 1995 Theory of \(U\)-statistics. Updated and transl. from the Russian by P. V. Malyshev and D. V. Malyshev. Zbl 0785.60015 Korolyuk, V. S.; Borovskikh, Yu. V. 128 1994 Semi-Markov random evolutions. Transl. from the Russian by V. Zayatas. Zbl 0813.60083 Korolyuk, V. S.; Swishchuk, A. V. 19 1994 Random permanents. Zbl 0845.60020 Borovskikh, Yu. V.; Korolyuk, V. S. 3 1994 Random permanents and symmetric statistics. Zbl 0813.60025 Borovskikh, Yuri V.; Korolyuk, Vladimir S. 2 1994 Mathematical foundations of the state lumping of large systems. Transl. from the Russ. and upd. by V. V. Zayats and Y. A. Atanov. Zbl 0834.60001 Korolyuk, Vladimir S.; Turbin, Anatoly F. 14 1993 Kravchuk’s stochastic polynomials. Zbl 0890.60002 Korolyuk, V. S. 1 1993 Random permanents and symmetric statistics. Zbl 0817.60032 Korolyuk, V. S.; Borovskikh, Yu. V. 5 1992 Semi-Markov random evolutions. (Polumarkovskie sluchajnye ehvolyutsii.) Zbl 0851.60086 Korolyuk, V. S.; Svishchuk, A. V. 4 1992 Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Zbl 0812.00013 1 1992 On the stability of an autonomous dynamical system with fast Markov switchings. Zbl 0757.60051 Korolyuk, V. S. 11 1991 Stability of an autonomous dynamic system with fast Markov switching. Zbl 0786.60073 Korolyuk, V. S. 1 1991 Stability of an autonomous dynamical system with rapid Markov switchings. Zbl 0725.34054 Korolyuk, V. S. 4 1990 U-statistics from bootstrap-sample. Zbl 0713.62050 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1990 Weak convergence of semi-Markov random evolutions in an averaging scheme. Zbl 0747.60025 Korolyuk, V. S.; Svishchuk, A. V. 1 1990 \(U\)-statistics with increasing degrees. Zbl 0738.62055 Korolyuk, V. S.; Borovskikh, Yu. V. 1 1990 The rate of convergence in a central limit theorem for UH-statistics. Zbl 0712.60022 Korolyuk, V. S.; Borovskikh, Yu. V. 1 1990 Weak convergence of semi-Markov random evolutions (martingale approach). Zbl 0733.60101 Korolyuk, V. S.; Svishchuk, A. V. 1 1990 Rate of convergence in the central limit theorem of the UH-statistics. Zbl 0724.60030 Korolyuk, V. S.; Borovskikh, Yu. V. 1 1990 Stochastic models of systems. (Stokhasticheskie modeli sistem.) Zbl 0753.60083 Korolyuk, V. S. 15 1989 The theory of \(U\)-statistics. (Teoriya \(U\)-statistik.) Zbl 0744.60024 Korolyuk, V. S.; Borovskikh, Yu. V. 11 1989 Phase averaging of inhomogeneous semi-Markov random evolutions. Zbl 0678.60085 Korolyuk, V. S.; Svishchuk, A. V. 2 1989 Limit representation of continuous semi-Markovian random evolutions in a scheme of series. Zbl 0694.60082 Korolyuk, V. S.; Svishchuk, A. V. 1 1989 Asymptotic theory of U-statistics. Zbl 0663.62059 Korolyuk, V. S.; Borovskikh, Yu. V. 5 1988 Convergence rate for degenerate von Mises functionals. Zbl 0668.60037 Korolyuk, V. S.; Borovskikh, Yu. V. 4 1988 Semi-Markov random evolutions-phase aggregation and applications. Zbl 0900.60077 Koroljuk, V. S.; Swishchuk, A. V. 2 1988 Diffusion approximation of a redundant Markov system with repair. Zbl 0748.60075 Korolyuk, V. S.; Vavrikovich, L. V. 1 1988 Rate of convergence for degenerate von-Mises functionals. Zbl 0634.60030 Korolyuk, V. S.; Borovskikh, Yu. V. 1 1988 A central limit theorem for U-statistics in a Hilbert space. Zbl 0619.60006 Korolyuk, V. S.; Borovskikh, Yu. V. 3 1987 Weak convergence of U-statistics to multiple stochastic integrals in Hilbert spaces. Zbl 0621.60007 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1987 Limit expression for the U-statistics by a multiple Wiener-Ito integral. Zbl 0619.60026 Korolyuk, V. S.; Borovskikh, Yu. V. 1 1987 A central limit theorem in a scheme of phase extension for semi-Markovian random evolutions. Zbl 0632.60091 Korolyuk, V. S.; Svishchuk, A. V.; Korolyuk, V. V. 1 1987 Evolution of systems in a semi-Markov random environment. Zbl 0651.60089 Korolyuk, V. S. 1 1987 Central limit theorem for semi-Markov random evolutions. Zbl 0609.60035 Korolyuk, V. S.; Svishchuk, A. V. 5 1986 The central limit theorem for additive functionals of Markov and semi- Markov processes. Zbl 0673.60020 Korolyuk, V. S. 2 1986 Approximation of nondegenerate U-statistics. Zbl 0593.62009 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1986 A manual on probability theory and mathematical statistics. (Spravochnik po teorii veroyatnostej i matematicheskoj statistike). 2nd ed., rev. and compl. Zbl 0608.60001 Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. 74 1985 Approximation of non-degenerate U-statistics. Zbl 0572.62022 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1985 The resolvent of a homogeneous process with independent increments killed on a halfaxis. Zbl 0575.60070 Bratijchuk, N. S.; Korolyuk, V. S. 2 1985 Expansions for U-statistics and von Mises functionals. Zbl 0605.62009 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1985 Asymptotic analysis of distributions in statistics (Asimptoticheskij analiz raspredelenij statistik). Zbl 0565.62003 Korolyuk, V. S.; Borovskikh, Yu. V. 13 1984 Characteristic functions, estimates of moments of U-statistics, and von Mises functionals. Zbl 0565.60019 Korolyuk, V. S.; Borovskikh, Yu. V. 2 1984 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 747 Authors 55 Korolyuk, Volodymyr Semenovych 22 Limnios, Nikolaos 19 Samoilenko, Igor V. 16 Melikov, Agassi Z. 15 Chabanyuk, Yaroslav M. 15 Nikitin, Yakov Yur’evich 14 Swishchuk, Anatoliy 11 Borovskikh, Yuri V. 11 Milošević, Bojana 11 Silvestrov, Dmitrii 10 Anisimov, Vladimir Vladislavovič 10 Nikitin, Anatolii V. 10 Peschanskij, A. I. 9 Pogorui, Anatoliy A. 9 Ponomarenko, Leonid A. 9 Rozenberg, Valerii L’vovich 9 Yasinskij, V. K. 8 Bouzebda, Salim 8 Lebedev, Eugene O. 8 Obradović, Marko 8 Rodríguez-Dagnino, Ramón Martín 8 Volkova, Ksenia Yu. 7 Bratijchuk, N. S. 7 Manca, Raimondo 7 Obzherin, Yuriy E. 7 Tsarkov, K. A. 7 Yurchenko, I. V. 6 Boĭchuk, Oleksandr Andriĭovych 6 Cuparić, Marija 6 Fatalov, Vadim Rolandovich 6 Malyk, Igor V. 6 Shurenkov, V. M. 6 Silvestrov, Sergei D. 6 Yasynsky, V. K. 5 Csáki, Endre 5 D’Amico, Guglielmo 5 Khimka, U. T. 5 Kislitsyn, Alexey A. 5 Korolyuk, Vladimir V. 5 Kovalenko, Igor Mykolaĭovych 5 Lukashiv, Taras O. 5 Nakonechnyj, A. N. 5 Peccati, Giovanni 5 Pokutnyĭ, Oleksandr Olekseevich 5 Rempała, Grzegorz A. 5 Rudenko, E. A. 5 Rustamov, A. M. 4 Avrachenkov, Konstantin Evgen’evich 4 Cherenkov, A. P. 4 Frolov, S. I. 4 Kolesnik, Alexander D. 4 Kuznetsov, N. Yu. 4 Livinska, Hanna 4 Pirdzhanov, B. 4 Prabhu, Narahari Umanath 4 Ragozin, I. A. 4 Turbin, Anatoly F. 4 Wesołowski, Jacek 4 Yeleyko, Yaroslav I. 4 Yuan, Ao 4 Zhuravlëv, Viktor Filippovich 3 Borisov, Igor Semenovich 3 Chiquet, Julien 3 Dovgyĭ, S. O. 3 Engström, Christopher 3 Gusak, Dmytro V. 3 Horváth, Lajos 3 Kempa, Wojciech M. 3 Koroliouk, Dmitri Vladimirovich 3 Kulik, Alexey M. 3 Kuznetsov, Dmitriĭ Feliksovich 3 Lukashuk, L. I. 3 Nasirova, Tamilla I. 3 Nemouchi, Boutheina 3 Orlov, Yurii N. 3 Peng, Liuhua 3 Rauf Ahmad, M. 3 Rubinovitch, Michael 3 Rykov, Vladimir Vasil’evich 3 Shpak, Valentyn D. 3 Suprun, V. N. 3 Sztrik, János 3 Tsarkov, Ye. F. 3 Veretennikov, Alexander Yu. 3 Yambartsev, Anatoly A. 3 Yarova, O. A. 3 Yarovaya, Elena B. 3 Yue, Dequan 3 Zhang, Yuying 3 Zitikis, Ričardas 2 Abola, Benard 2 Afanas’ev, Valeriĭ Ivanovich 2 Ahmad, Ibrahim A. 2 Allison, James Samuel 2 Altman, Eitan 2 Antonyuk, Svitlana V. 2 Bahraoui, Tarik 2 Bentkus, Vidmants-Kastytis 2 Biganda, Pitos Seleka 2 Bogomolov, S. 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