Edit Profile Gusak, Dmytro V. Compute Distance To: Compute Author ID: gusak.dmytro-v Published as: Gusak, D.; Gusak, D. V.; Gusak, Dmytro; Gusak, Dmytro V. Documents Indexed: 119 Publications since 1962, including 5 Books all top 5 Co-Authors 83 single-authored 10 Korolyuk, Volodymyr Semenovych 4 Peresypkina, S. I. 4 Skorokhod, Anatoliĭ Volodymyrovych 3 Karnaukh, E. V. 3 Kovalenko, Igor Mykolaĭovych 3 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Bratijchuk, N. S. 2 Kaplan, B. Iv. 2 Korkuna, O. P. 2 Mishura, Yuliya Stepanivna 2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 2 Turbin, Anatoly F. 2 Tureniyazova, A. I. 1 Bratijchuk, M. S. 1 Elejko, O. I. 1 Gerych, M. S. 1 Karnaukh, Ye. 1 Kartashov, Mykola Valentynovych 1 Kozachenko, Yuriĭ Vasyl’ovych 1 Kukush, Oleksandr Georgiĭovych 1 Kulik, Alexey M. 1 Maĭboroda, Rostyslav Yevgenovych 1 Moklyachuk, Mykhaĭlo Pavlovych 1 Perestyuk, Mykola Oleksiĭovych 1 Pilipenko, Andrey Yu. 1 Rozumenko, A. M. 1 Samoilenko, Igor V. 1 Swishchuk, Anatoliy 1 Yadrenko, Mikhaĭlo Iosipovich 1 Zakuzylo, O. K. 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 2 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 106 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 34 Publications have been cited 82 times in 57 Documents Cited by ▼ Year ▼ On the joint distribution of the first exit time and exit value for homogeneous processes with independent increments. Zbl 0281.60079Gusak, D. V. 11 1969 Theory of stochastic processes. With applications to financial mathematics and risk theory. Zbl 1189.60001Gusak, Dmytro; Kukush, Alexander; Kulik, Alexey; Mishura, Yuliya; Pilipenko, Andrey 7 2010 On the first passage time across a given level for processes with independent increments. Zbl 0177.21304Gusak, D. V.; Korolyuk, V. S. 7 1968 Boundary problems for processes with independent increments. Zbl 0758.60074Bratijchuk, N. S.; Gusak, D. V. 5 1990 The asymptotic behaviour of semi-Markov processes with a decomposable set of states. Zbl 0234.60105Gusak, D. V.; Korolyuk, V. S. 5 1971 On the joint distribution of a process with stationary increments and its maximum. Zbl 0281.60032Gusak, D. V.; Korolyuk, V. S. 5 1970 Processes with independent increments in risk theory. Zbl 1249.60001Gusak, D. V. 4 2011 Boundary value problems for processes with independent increments in risk theory. Zbl 1199.60001Gusak, D. V. 3 2007 On crossing of a level by process defined by sums of a random number of terms. Zbl 0943.60042Gusak, D. V. 3 1995 Boundary problems for processes with independent increments on Markov chains and for semi-Markov processes. Zbl 0909.60051Gusak, D. V. 2 1998 Oscillating processes with independent increments and nondegenerate Wiener component. Zbl 0732.60082Gusak, D. V. 2 1990 On oscillating random walk schemes. II. Zbl 0714.60053Gusak, D. V. 2 1990 Ergodic distribution of an oscillating process with independent increments. Zbl 0623.60096Bratijchuk, N. S.; Gusak, D. V. 2 1986 How often is the sum of independent random variables larger than a given number? Zbl 0505.60057Gusak, D. V. 2 1983 On the joint distribution of a process with stationary increments and its maximum. Zbl 0199.52502Gusak, D. V.; Korolyuk, V. S. 2 1969 On the first passage time of a given level for processes with independent increments. Zbl 0165.19303Gusak, D. V.; Korolyuk, V. S. 2 1968 On the exit from a finite interval for the risk processes with stochastic premiums. Zbl 1142.60344Gusak, D. V.; Karnaukh, E. V. 1 2005 Matrix factorization identity for almost semi-continuous processes on a Markov chain. Zbl 1142.60343Gusak, D. V.; Karnaukh, E. V. 1 2005 Compound Poisson processes with two-sided reflection. Zbl 1020.60077Gusak, D. V. 1 2002 Distribution of overjump functionals of a semicontinuous homogeneous process with independent increments. Zbl 1005.60061Gusak, D. V. 1 2002 Fundamental identities for boundary functionals of additive sequences. Zbl 0967.60054Gusak, D. V. 1 1995 On extrema of integer-valued processes, defined by sums of a random number of addenda. Zbl 0826.60041Gusak, D. V.; Rozumenko, A. M. 1 1995 On oscillating random walk schemes. I. Zbl 0713.60077Gusak, D. V. 1 1989 On oscillating schemes of a random walk. I. Zbl 0669.60066Gusak, D. V. 1 1988 On lattice semicontinuous Poisson processes on a Markov chain. Zbl 0645.60079Gusak, D. V.; Tureniyazova, A. I. 1 1987 The distribution of the sojourn time of the homogeneous process with independent increments above an arbitrary level. Zbl 0518.60081Gusak, D. V. 1 1983 The distribution of the time of staying above an arbitrary level for a homogeneous process with indendent increments. Zbl 0454.60066Gusak, D. V. 1 1981 On the level-crossing from homogeneous processes with independent increments and non-degenerative Wiener component. Zbl 0436.60033Gusak, D. V. 1 1980 On the moment of reaching the maximum for homogeneous processes with independent increments controlled by a Markov chain. Zbl 0301.60049Gusak, 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 0261.60047Gusak, D. V. 1 1973 On the joint distribution of the first overshoot time and the overshoot value for homogeneous processes with independent increments. Zbl 0201.19104Gusak, D. V. 1 1969 On canonical and infinitely divisible factorization. Zbl 0169.21003Gusak, D. V. 1 1969 The asymptotic behavior of distributions of maximal deviations in a Poisson process. Zbl 0158.35301Korolyuk, V. S.; Gusak, D. V. 1 1965 Zur Asymptotik der Verteilungen der maximalen Abweichungen bei einem Poissonschen Prozeß. Zbl 0119.34501Korolyuk, V. S.; Gusak, D. V. 1 1962 Processes with independent increments in risk theory. Zbl 1249.60001Gusak, D. V. 4 2011 Theory of stochastic processes. With applications to financial mathematics and risk theory. Zbl 1189.60001Gusak, Dmytro; Kukush, Alexander; Kulik, Alexey; Mishura, Yuliya; Pilipenko, Andrey 7 2010 Boundary value problems for processes with independent increments in risk theory. Zbl 1199.60001Gusak, D. V. 3 2007 On the exit from a finite interval for the risk processes with stochastic premiums. Zbl 1142.60344Gusak, D. V.; Karnaukh, E. V. 1 2005 Matrix factorization identity for almost semi-continuous processes on a Markov chain. Zbl 1142.60343Gusak, D. V.; Karnaukh, E. V. 1 2005 Compound Poisson processes with two-sided reflection. Zbl 1020.60077Gusak, D. V. 1 2002 Distribution of overjump functionals of a semicontinuous homogeneous process with independent increments. Zbl 1005.60061Gusak, D. V. 1 2002 Boundary problems for processes with independent increments on Markov chains and for semi-Markov processes. Zbl 0909.60051Gusak, D. V. 2 1998 On crossing of a level by process defined by sums of a random number of terms. Zbl 0943.60042Gusak, D. V. 3 1995 Fundamental identities for boundary functionals of additive sequences. Zbl 0967.60054Gusak, D. V. 1 1995 On extrema of integer-valued processes, defined by sums of a random number of addenda. Zbl 0826.60041Gusak, D. V.; Rozumenko, A. M. 1 1995 Boundary problems for processes with independent increments. Zbl 0758.60074Bratijchuk, N. S.; Gusak, D. V. 5 1990 Oscillating processes with independent increments and nondegenerate Wiener component. Zbl 0732.60082Gusak, D. V. 2 1990 On oscillating random walk schemes. II. Zbl 0714.60053Gusak, D. V. 2 1990 On oscillating random walk schemes. I. Zbl 0713.60077Gusak, D. V. 1 1989 On oscillating schemes of a random walk. I. Zbl 0669.60066Gusak, D. V. 1 1988 On lattice semicontinuous Poisson processes on a Markov chain. Zbl 0645.60079Gusak, D. V.; Tureniyazova, A. I. 1 1987 Ergodic distribution of an oscillating process with independent increments. Zbl 0623.60096Bratijchuk, N. S.; Gusak, D. V. 2 1986 How often is the sum of independent random variables larger than a given number? Zbl 0505.60057Gusak, D. V. 2 1983 The distribution of the sojourn time of the homogeneous process with independent increments above an arbitrary level. Zbl 0518.60081Gusak, D. V. 1 1983 The distribution of the time of staying above an arbitrary level for a homogeneous process with indendent increments. Zbl 0454.60066Gusak, D. V. 1 1981 On the level-crossing from homogeneous processes with independent increments and non-degenerative Wiener component. Zbl 0436.60033Gusak, D. V. 1 1980 On the moment of reaching the maximum for homogeneous processes with independent increments controlled by a Markov chain. Zbl 0301.60049Gusak, 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 0261.60047Gusak, D. V. 1 1973 The asymptotic behaviour of semi-Markov processes with a decomposable set of states. Zbl 0234.60105Gusak, D. V.; Korolyuk, V. S. 5 1971 On the joint distribution of a process with stationary increments and its maximum. Zbl 0281.60032Gusak, 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 0281.60079Gusak, D. V. 11 1969 On the joint distribution of a process with stationary increments and its maximum. Zbl 0199.52502Gusak, D. V.; Korolyuk, V. S. 2 1969 On the joint distribution of the first overshoot time and the overshoot value for homogeneous processes with independent increments. Zbl 0201.19104Gusak, D. V. 1 1969 On canonical and infinitely divisible factorization. Zbl 0169.21003Gusak, D. V. 1 1969 On the first passage time across a given level for processes with independent increments. Zbl 0177.21304Gusak, D. V.; Korolyuk, V. S. 7 1968 On the first passage time of a given level for processes with independent increments. Zbl 0165.19303Gusak, D. V.; Korolyuk, V. S. 2 1968 The asymptotic behavior of distributions of maximal deviations in a Poisson process. Zbl 0158.35301Korolyuk, V. S.; Gusak, D. V. 1 1965 Zur Asymptotik der Verteilungen der maximalen Abweichungen bei einem Poissonschen Prozeß. Zbl 0119.34501Korolyuk, V. S.; Gusak, D. V. 1 1962 all cited Publications top 5 cited Publications all top 5 Cited by 62 Authors 9 Gusak, Dmytro V. 4 Prabhu, Narahari U 3 Cherenkov, A. P. 3 Kadankov, Viktor F. 3 Kadankova, Tetyana 3 Rubinovitch, Michael 2 Lotov, Vladimir Ivanovich 2 Ponomarenko, O. Ī. 2 Skorokhod, Anatoliĭ Volodymyrovych 2 Turbin, Anatoly F. 2 Veraverbeke, Noël 1 Andersen, Lars Nørvang 1 Asmussen, Søren 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 Bratiicuk, N. S. 1 Bratijchuk, N. S. 1 Brodi, S. M. 1 Epstein, Raisa 1 Fralix, Brian H. 1 Ganychenko, Iu. V. 1 Gerych, M. S. 1 Glynn, Peter W. 1 Gonchar, N. S. 1 Grigelionis, Bronius I. 1 Gusak, V. D. 1 Hashorva, Enkelejd 1 Herych, M. S. 1 Husak, D. V. 1 Jacobsen, Martin 1 Karnaukh, E. V. 1 Karnaukh, Ie. 1 Korolyuk, Volodymyr Semenovych 1 Madras, Neal 1 Malyshev, Vadim Aleksandrovich 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Nadarajah, Saralees 1 Nasirova, T. I. 1 Neklyudov, Mikhail 1 Norkin, B. V. 1 Peresypkina, S. I. 1 Pihlsgård, Mats 1 Pirdzanov, B. 1 Pirdzhanov, B. 1 Pirliev, B. 1 Pitdzhanov, B. 1 Prohl, Andreas 1 Silvestrov, Dmitrii 1 Silvestrov, Sergei D. 1 Tamura, Yozo 1 Tanaka, Hiroshi L. 1 Tanny, David 1 Taqqu, Murad S. 1 van Leeuwaarden, Johan S. H. 1 Veillette, Mark S. 1 Winkel, Matthias 1 Withers, Christopher Stroude all top 5 Cited in 23 Serials 14 Ukrainian Mathematical Journal 7 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 Soviet Mathematics 2 Journal of Applied Probability 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 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Sequential Analysis 1 Journal of Theoretical Probability 1 Communications in Statistics. Theory and Methods 1 Methodology and Computing in Applied Probability 1 Stochastic Models 1 Sibirskie Èlektronnye Matematicheskie Izvestiya all top 5 Cited in 10 Fields 52 Probability theory and stochastic processes (60-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Statistics (62-XX) 2 Numerical analysis (65-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year