Edit Profile (opens in new tab) Gusak, Dmytro V. Co-Author Distance Author ID: gusak.dmytro-v Published as: Gusak, D. V.; Gusak, Dmytro V.; Gusak, Dmytro; Gusak, D. more...less Documents Indexed: 119 Publications since 1962, including 5 Books 2 Further Contributions Co-Authors: 30 Co-Authors with 38 Joint Publications 1,226 Co-Co-Authors all top 5 Co-Authors 83 single-authored 11 Korolyuk, Volodymyr Semenovych 5 Skorokhod, Anatoliĭ Volodymyrovych 4 Peresypkina, S. I. 3 Bratijchuk, N. S. 3 Karnaukh, E. V. 3 Kovalenko, Igor Mykolaĭovych 3 Samoĭlenko, Anatoliĭ Mykhaĭlovych 3 Turbin, Anatoly F. 3 Tureniyazova, A. I. 2 Kaplan, B. Iv. 2 Korkuna, O. P. 2 Mishura, Yuliya Stepanivna 2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 2 Swishchuk, Anatoliy 2 Yadrenko, Mykhaĭlo Ĭosypovych 1 Afanas’eva, Larisa Grigor’evna 1 Boĭko, R. V. 1 Borovskikh, Yuri V. 1 Bratijchuk, M. S. 1 Bu The Hyu 1 Butsan, G. P. 1 Cherenkov, A. P. 1 Chorayan, O. G. 1 Demenin, A. N. 1 Diesperova, M. M. 1 Dobrovol’skij, V. V. 1 Dorogovtsev, Anatoliĭ Yakovych 1 Dukhovny, Alexander M. 1 Elejko, O. I. 1 Gadzhev, V. G. 1 Gasanenko, Vitalii Alekseevich 1 Gerych, M. S. 1 Grikh, Z. A. 1 Hacet, S. V. 1 Ibramkhalilov, I. Sh. 1 Ivanov, Aleksandr Vladimirovich 1 Karnaukh, Ye. 1 Karpenko, L. D. 1 Kartashov, Mykola Valentynovych 1 Knopov, Pavel S. 1 Kononchuk, L. P. 1 Kozachenko, Yuriĭ Vasyl’ovych 1 Kuk, Yu. V. 1 Kukush, Oleksandr Georgiĭovych 1 Kulik, Alexey M. 1 Maĭboroda, Rostyslav Yevgenovych 1 Marushin, M. N. 1 Melyaeva, O. 1 Moklyachuk, Mykhaĭlo Pavlovych 1 Novikov, M. M. 1 Perestyuk, Mykola Oleksiĭovych 1 Petunin, Yuriĭ Ivanovich 1 Pilipenko, Andrey Yu. 1 Pisanets, S. I. 1 Portenko, Mykola Ivanovych 1 Pratsiovytyi, Mykola 1 Rozumenko, A. M. 1 Samoilenko, Igor V. 1 Shtatland, E. S. 1 Slobodenyuk, N. P. 1 Solopko, I. O. 1 Yatsishin, Yu. V. 1 Yuditskiĭ, M. I. 1 Zaigraev, Alexander 1 Zakuzylo, O. K. 1 Zayats, Volodymyr V. 1 Zhdanova, Yu. D. all top 5 Serials 20 Ukraïns’kyĭ Matematychnyĭ Zhurnal 11 Ukrainian Mathematical Journal 10 Theory of Stochastic Processes 9 Theory of Probability and Mathematical Statistics 8 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 5 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 4 Teoriya Veroyatnosteĭ i eë Primeneniya 4 Theory of Probability and its Applications 4 Naukovyĭ Visnyk Uzhgorods’kogo Universytetu. Seriya Matematyka 3 Selected Translations in Mathematical Statistics and Probability 2 Dopovidi Akademiï Nauk Ukraïns’koï RSR 1 Dopovidi Akademiï Nauk Ukraïni 1 Random Operators and Stochastic Equations 1 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Problem Books in Mathematics all top 5 Fields 108 Probability theory and stochastic processes (60-XX) 14 Statistics (62-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 2 General and overarching topics; collections (00-XX) 2 Systems theory; control (93-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 101 times in 69 Documents Cited by ▼ Year ▼ On the joint distribution of the first exit time and exit value for homogeneous processes with independent increments. Zbl 0281.60079 Gusak, D. V. 11 1969 Theory of stochastic processes. With applications to financial mathematics and risk theory. Zbl 1189.60001 Gusak, Dmytro; Kukush, Alexander; Kulik, Alexey; Mishura, Yuliya; Pilipenko, Andrey 10 2010 Boundary problems for processes with independent increments. (Granichnye zadachi dlya protsessov s nezavisimymi prirashcheniyami.) Zbl 0758.60074 Bratijchuk, N. S.; Gusak, D. V. 9 1990 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 The asymptotic behaviour of semi-Markov processes with a decomposable set of states. Zbl 0234.60105 Gusak, D. V.; Korolyuk, V. S. 7 1971 Processes with independent increments in risk theory. Zbl 1249.60001 Gusak, D. V. 6 2011 On the joint distribution of a process with stationary increments and its maximum. Zbl 0281.60032 Gusak, D. V.; Korolyuk, V. S. 5 1970 On crossing of a level by process defined by sums of a random number of terms. Zbl 0943.60042 Gusak, D. V. 3 1995 Boundary problems for processes with independent increments on Markov chains and for semi-Markov processes. (Granychni zadachi dlya protsesiv z nezalezhnymy pryrostamy na skinchennykh lantsyugakh Markova ta dlya napivmarkovs’kykh protsesiv.) Zbl 0909.60051 Gusak, D. V. 3 1998 On oscillating schemes of a random walk. I. Zbl 0669.60066 Gusak, D. V. 3 1988 Boundary value problems for processes with independent increments in risk theory. (Граничні задачі для процесів з незалежними приростами в теориї ризику.) Zbl 1199.60001 Gusak, D. V. 3 2007 How often is the sum of independent random variables larger than a given number? Zbl 0505.60057 Gusak, D. V. 2 1983 Ergodic distribution of an oscillating process with independent increments. Zbl 0623.60096 Bratijchuk, N. S.; Gusak, D. V. 2 1986 Oscillating processes with independent increments and nondegenerate Wiener component. Zbl 0732.60082 Gusak, D. V. 2 1990 On oscillating random walk schemes. II. Zbl 0714.60053 Gusak, D. V. 2 1990 On the first passage time of a given level for processes with independent increments. Zbl 0165.19303 Gusak, D. V.; Korolyuk, V. S. 2 1968 On the joint distribution of a process with stationary increments and its maximum. Zbl 0199.52502 Gusak, D. V.; Korolyuk, V. S. 2 1969 On extrema of integer-valued processes, defined by sums of a random number of addenda. Zbl 0826.60041 Gusak, D. V.; Rozumenko, A. M. 1 1995 Compound Poisson processes with two-sided reflection. Zbl 1020.60077 Gusak, D. V. 1 2002 Distribution of overjump functionals of a semicontinuous homogeneous process with independent increments. Zbl 1005.60061 Gusak, D. V. 1 2002 On the level-crossing from homogeneous processes with independent increments and non-degenerative Wiener component. Zbl 0436.60033 Gusak, D. V. 1 1980 The distribution of the time of staying above an arbitrary level for a homogeneous process with indendent increments. Zbl 0454.60066 Gusak, D. V. 1 1981 Fundamental identities for boundary functionals of additive sequences. Zbl 0967.60054 Gusak, D. V. 1 1995 Specification of components of the main factorization identity for lattice Poisson processes on Markov chains. Zbl 1265.60075 Gusak, D. V.; Gerych, M. S. 1 2011 Prelimit and limit generalizations of the Pollaczek-Khinchin formula. Zbl 1224.60096 Gusak, D. V. 1 2009 The distribution of the sojourn time of the homogeneous process with independent increments above an arbitrary level. Zbl 0518.60081 Gusak, D. V. 1 1983 On the exit from a finite interval for the risk processes with stochastic premiums. Zbl 1142.60344 Gusak, D. V.; Karnaukh, E. V. 1 2005 On lattice semicontinuous Poisson processes on a Markov chain. Zbl 0645.60079 Gusak, D. V.; Tureniyazova, A. I. 1 1987 Matrix factorization identity for almost semi-continuous processes on a Markov chain. Zbl 1142.60343 Gusak, D. V.; Karnaukh, E. V. 1 2005 On oscillating random walk schemes. I. Zbl 0713.60077 Gusak, D. V. 1 1989 Cumulant representations of Lundberg’s root for semicontinuous processes. Zbl 1235.60045 Gusak, D. V. 1 2011 Zur Asymptotik der Verteilungen der maximalen Abweichungen bei einem Poissonschen Prozeß. Zbl 0119.34501 Korolyuk, V. S.; Gusak, D. V. 1 1962 On the distribution of functionals of the subordinator. Zbl 1329.60121 Gusak, D. V. 1 2014 The asymptotic behavior of semi-Markov processes with a decomposable set of states. Zbl 0348.60124 Gusak, D. V.; Korolyuk, V. S. 1 1976 On the continuous passage through a fixed level of a homogeneous process with independent increments on a Markov chain. Zbl 0261.60047 Gusak, D. V. 1 1973 On the moment of reaching the maximum for homogeneous processes with independent increments controlled by a Markov chain. Zbl 0301.60049 Gusak, D. V.; Peresypkina, S. I. 1 1974 The asymptotic behavior of distributions of maximal deviations in a Poisson process. Zbl 0158.35301 Korolyuk, V. S.; Gusak, D. V. 1 1965 On canonical and infinitely divisible factorization. Zbl 0169.21003 Gusak, D. V. 1 1969 On the joint distribution of the first overshoot time and the overshoot value for homogeneous processes with independent increments. Zbl 0201.19104 Gusak, D. V. 1 1969 On the distribution of functionals of the subordinator. Zbl 1329.60121 Gusak, D. V. 1 2014 Processes with independent increments in risk theory. Zbl 1249.60001 Gusak, D. V. 6 2011 Specification of components of the main factorization identity for lattice Poisson processes on Markov chains. Zbl 1265.60075 Gusak, D. V.; Gerych, M. S. 1 2011 Cumulant representations of Lundberg’s root for semicontinuous processes. Zbl 1235.60045 Gusak, D. V. 1 2011 Theory of stochastic processes. With applications to financial mathematics and risk theory. Zbl 1189.60001 Gusak, Dmytro; Kukush, Alexander; Kulik, Alexey; Mishura, Yuliya; Pilipenko, Andrey 10 2010 Prelimit and limit generalizations of the Pollaczek-Khinchin formula. Zbl 1224.60096 Gusak, D. V. 1 2009 Boundary value problems for processes with independent increments in risk theory. (Граничні задачі для процесів з незалежними приростами в теориї ризику.) Zbl 1199.60001 Gusak, D. V. 3 2007 On the exit from a finite interval for the risk processes with stochastic premiums. Zbl 1142.60344 Gusak, D. V.; Karnaukh, E. V. 1 2005 Matrix factorization identity for almost semi-continuous processes on a Markov chain. Zbl 1142.60343 Gusak, D. V.; Karnaukh, E. V. 1 2005 Compound Poisson processes with two-sided reflection. Zbl 1020.60077 Gusak, D. V. 1 2002 Distribution of overjump functionals of a semicontinuous homogeneous process with independent increments. Zbl 1005.60061 Gusak, D. V. 1 2002 Boundary problems for processes with independent increments on Markov chains and for semi-Markov processes. (Granychni zadachi dlya protsesiv z nezalezhnymy pryrostamy na skinchennykh lantsyugakh Markova ta dlya napivmarkovs’kykh protsesiv.) Zbl 0909.60051 Gusak, D. V. 3 1998 On crossing of a level by process defined by sums of a random number of terms. Zbl 0943.60042 Gusak, D. V. 3 1995 On extrema of integer-valued processes, defined by sums of a random number of addenda. Zbl 0826.60041 Gusak, D. V.; Rozumenko, A. M. 1 1995 Fundamental identities for boundary functionals of additive sequences. Zbl 0967.60054 Gusak, D. V. 1 1995 Boundary problems for processes with independent increments. (Granichnye zadachi dlya protsessov s nezavisimymi prirashcheniyami.) Zbl 0758.60074 Bratijchuk, N. S.; Gusak, D. V. 9 1990 Oscillating processes with independent increments and nondegenerate Wiener component. Zbl 0732.60082 Gusak, D. V. 2 1990 On oscillating random walk schemes. II. Zbl 0714.60053 Gusak, D. V. 2 1990 On oscillating random walk schemes. I. Zbl 0713.60077 Gusak, D. V. 1 1989 On oscillating schemes of a random walk. I. Zbl 0669.60066 Gusak, D. V. 3 1988 On lattice semicontinuous Poisson processes on a Markov chain. Zbl 0645.60079 Gusak, D. V.; Tureniyazova, A. I. 1 1987 Ergodic distribution of an oscillating process with independent increments. Zbl 0623.60096 Bratijchuk, N. S.; Gusak, D. V. 2 1986 How often is the sum of independent random variables larger than a given number? Zbl 0505.60057 Gusak, D. V. 2 1983 The distribution of the sojourn time of the homogeneous process with independent increments above an arbitrary level. Zbl 0518.60081 Gusak, D. V. 1 1983 The distribution of the time of staying above an arbitrary level for a homogeneous process with indendent increments. Zbl 0454.60066 Gusak, D. V. 1 1981 On the level-crossing from homogeneous processes with independent increments and non-degenerative Wiener component. Zbl 0436.60033 Gusak, D. V. 1 1980 The asymptotic behavior of semi-Markov processes with a decomposable set of states. Zbl 0348.60124 Gusak, D. V.; Korolyuk, V. S. 1 1976 On the moment of reaching the maximum for homogeneous processes with independent increments controlled by a Markov chain. Zbl 0301.60049 Gusak, D. V.; Peresypkina, S. I. 1 1974 On the continuous passage through a fixed level of a homogeneous process with independent increments on a Markov chain. Zbl 0261.60047 Gusak, D. V. 1 1973 The asymptotic behaviour of semi-Markov processes with a decomposable set of states. Zbl 0234.60105 Gusak, D. V.; Korolyuk, V. S. 7 1971 On the joint distribution of a process with stationary increments and its maximum. Zbl 0281.60032 Gusak, D. V.; Korolyuk, V. S. 5 1970 On the joint distribution of the first exit time and exit value for homogeneous processes with independent increments. Zbl 0281.60079 Gusak, D. V. 11 1969 On the joint distribution of a process with stationary increments and its maximum. Zbl 0199.52502 Gusak, D. V.; Korolyuk, V. S. 2 1969 On canonical and infinitely divisible factorization. Zbl 0169.21003 Gusak, D. V. 1 1969 On the joint distribution of the first overshoot time and the overshoot value for homogeneous processes with independent increments. Zbl 0201.19104 Gusak, D. V. 1 1969 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 On the first passage time of a given level for processes with independent increments. Zbl 0165.19303 Gusak, D. V.; Korolyuk, V. S. 2 1968 The asymptotic behavior of distributions of maximal deviations in a Poisson process. Zbl 0158.35301 Korolyuk, V. S.; Gusak, D. V. 1 1965 Zur Asymptotik der Verteilungen der maximalen Abweichungen bei einem Poissonschen Prozeß. Zbl 0119.34501 Korolyuk, V. S.; Gusak, D. V. 1 1962 all cited Publications top 5 cited Publications all top 5 Cited by 80 Authors 9 Gusak, Dmytro V. 4 Lotov, Vladimir Ivanovich 4 Prabhu, Narahari Umanath 3 Cherenkov, A. P. 3 Kadankov, Viktor F. 3 Kadankova, Tat’yana V. 3 Rubinovitch, Michael 2 Bratijchuk, N. S. 2 Karnaukh, E. V. 2 Lebedev, Eugene O. 2 Pirdzhanov, B. 2 Ponomarenko, O. Ī. 2 Silvestrov, Dmitrii 2 Skorokhod, Anatoliĭ Volodymyrovych 2 Turbin, Anatoly F. 2 Veraverbeke, Noël 1 Andersen, Lars Nørvang 1 Asmussen, Søren 1 Baryshnikov, A. V. 1 Beibel, Martin 1 Berman, Simeon M. 1 Bingham, Nicholas Hugh 1 Borovkov, Aleksandr Alekseevich 1 Borovskikh, Yuri V. 1 Boxma, Onno Johan 1 Bratiichuk, M. S. 1 Brodi, S. M. 1 Chen, Chuchu 1 Epstein, Raisa 1 Fralix, Brian H. 1 Ganychenko, Iu. V. 1 Gerych, M. S. 1 Glynn, Peter W. 1 Grigelionis, Bronius I. 1 Gusak, V. D. 1 Hashorva, Enkelejd 1 Herych, M. S. 1 Hlávka, Zdeněk 1 Hong, Jialin 1 Husak, D. V. 1 Hušková, Marie 1 Jacobsen, Martin 1 Kapodistria, Stella 1 Karnaukh, Ievgen 1 Katyshev, Sergey Yu. 1 Khodjibaev, Vali Rakhimdjanovich 1 Khodzhibaev, Vali Rakhimdzhanovich 1 Korolyuk, Volodymyr Semenovych 1 Kubilius, Kȩstutis 1 Livinska, Hanna 1 Lu, Yulan 1 Madras, Neal 1 Malyshev, Vadim Aleksandrovich 1 Meintanis, Simos George 1 Mishura, Yuliya Stepanivna 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Nadarajah, Saralees 1 Nasirova, Tamilla I. 1 Neklyudov, Misha 1 Norkin, B. V. 1 Palmowski, Zbigniew 1 Peresypkina, S. I. 1 Pihlsgård, Mats 1 Pirliev, B. 1 Pitdzhanov, B. 1 Prohl, Andreas 1 Ragulina, Olena 1 Ralchenko, Kostiantyn V. 1 Shneer, Vsevolod Vladislavovich 1 Silvestrov, Sergei D. 1 Stroev, O. M. 1 Tamura, Yozo 1 Tanaka, Hiroshi 1 Tanny, David 1 Taqqu, Murad S. 1 van der Hofstad, Remco W. 1 van Leeuwaarden, Johan S. H. 1 Veillette, Mark S. 1 Winkel, Matthias 1 Withers, Christopher Stroude all top 5 Cited in 28 Serials 15 Ukrainian Mathematical Journal 8 Theory of Probability and Mathematical Statistics 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Stochastic Processes and their Applications 3 Mathematical Notes 3 Journal of Applied Probability 3 Journal of Soviet Mathematics 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Cybernetics and Systems Analysis 2 Random Operators and Stochastic Equations 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Theory of Probability and its Applications 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Sequential Analysis 1 Journal of Theoretical Probability 1 Communications in Statistics. Theory and Methods 1 Test 1 Methodology and Computing in Applied Probability 1 Discrete and Continuous Dynamical Systems. Series B 1 Stochastic Models 1 Modern Stochastics. Theory and Applications 1 Matematicheskie Voprosy Kriptografii all top 5 Cited in 18 Fields 62 Probability theory and stochastic processes (60-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Statistics (62-XX) 3 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year