Gusak, D. V.; Karnaukh, E. V. On the lack of memory for distributions of overshoot functionals in the case of upper almost semicontinuous processes defined on a Markov chain. (English. Ukrainian original) Zbl 1431.60126 Theory Probab. Math. Stat. 99, 77-89 (2019); translation from Teor. Jmovirn. Mat. Stat. 99, 71-82 (2018). MSC: 60K37 60G51 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{E. V. Karnaukh}, Theory Probab. Math. Stat. 99, 77--89 (2019; Zbl 1431.60126); translation from Teor. Jmovirn. Mat. Stat. 99, 71--82 (2018) Full Text: DOI
Gusak, D. V. On the distribution of functionals of the subordinator. (English. Ukrainian original) Zbl 1329.60121 Theory Probab. Math. Stat. 88, 51-66 (2014); translation from Teor. Jmovirn. Mat. Stat. 88, 46-59 (2013). MSC: 60G51 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Probab. Math. Stat. 88, 51--66 (2014; Zbl 1329.60121); translation from Teor. Jmovirn. Mat. Stat. 88, 46--59 (2013) Full Text: DOI
Gusak, D.; Karnaukh, Ye. The unified form of Pollaczek-Khinchin formula for Lévy processes with matrix-exponential negative jumps. (English) Zbl 1289.60089 Theory Stoch. Process. 18, No. 2, 15-23 (2012). MSC: 60G51 60K10 PDFBibTeX XMLCite \textit{D. Gusak} and \textit{Ye. Karnaukh}, Theory Stoch. Process. 18, No. 2, 15--23 (2012; Zbl 1289.60089) Full Text: arXiv
Gusak, D. V. A simplified version of Spitzer’s formula for semicontinuous and almost semicontinuous processes. (English. Ukrainian original) Zbl 1274.60145 Theory Probab. Math. Stat. 85, 61-71 (2012); translation from Teor. Jmovirn. Mat. Stat. 85, 56-65 (2011). MSC: 60G50 60K10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Probab. Math. Stat. 85, 61--71 (2012; Zbl 1274.60145); translation from Teor. Jmovirn. Mat. Stat. 85, 56--65 (2011) Full Text: DOI
Gusak, D. V. Conditions for balance between survival and ruin. (English. Russian original) Zbl 1258.91103 Ukr. Math. J. 64, No. 7, 1128-1135 (2012); translation from Ukr. Mat. Zh. 64, No. 7, 988-993 (2012). MSC: 91B30 60G51 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Math. J. 64, No. 7, 1128--1135 (2012; Zbl 1258.91103); translation from Ukr. Mat. Zh. 64, No. 7, 988--993 (2012) Full Text: DOI
Gusak, D. V. On approximations of the ruin probability for risk processes with random premium. (Ukrainian. English summary) Zbl 1265.91086 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 23, No. 1, 30-41 (2012). MSC: 91B30 60K05 PDFBibTeX XMLCite \textit{D. V. Gusak}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 23, No. 1, 30--41 (2012; Zbl 1265.91086)
Gusak, D. V. Sojourn time of almost semicontinuous integral-valued processes in a fixed state. (English. Russian original) Zbl 1260.60171 Ukr. Math. J. 63, No. 8, 1176-1186 (2012); translation from Ukr. Mat. Zh. 63, No. 8, 1021-1029 (2011). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60J75 60K20 60K10 62P05 91B30 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Math. J. 63, No. 8, 1176--1186 (2012; Zbl 1260.60171); translation from Ukr. Mat. Zh. 63, No. 8, 1021--1029 (2011) Full Text: DOI
Gusak, D. V.; Gerych, M. S. Specification of components of the main factorization identity for lattice Poisson processes on Markov chains. (Ukrainian. English summary) Zbl 1265.60075 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 22, No. 2, 54-63 (2011). MSC: 60G07 60J10 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{M. S. Gerych}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 22, No. 2, 54--63 (2011; Zbl 1265.60075)
Samojlenko, A. M.; Kovalenko, I. M.; Perestyuk, M. O.; Zakuzylo, O. K.; Kartashov, M. V.; Kozachenko, Yu. V.; Majboroda, R. E.; Mishura, Yu. S.; Moklyachuk, M. P.; Gusak, D. V. To the 85 anniversary from the date of Volodymyr Semenovych Korolyuk birth. (Ukrainian. English summary) Zbl 1249.01031 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 25, 59-60 (2011). MSC: 01A70 60-03 62-03 PDFBibTeX XMLCite \textit{A. M. Samojlenko} et al., Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 25, 59--60 (2011; Zbl 1249.01031)
Gusak, D. V. Processes with independent increments in risk theory. (Ukrainian) Zbl 1249.60001 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 88. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-6045-0). 544 p. (2011). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60-01 60-02 60G50 60K20 60G51 60J70 60K10 60K15 60G55 62P05 91B30 PDFBibTeX XMLCite \textit{D. V. Gusak}, Processes with independent increments in risk theory (Ukrainian). Kyïv: Instytut Matematyky NAN Ukraïny (2011; Zbl 1249.60001)
Gusak, D. V. Cumulant representations of Lundberg’s root for semicontinuous processes. (English. Ukrainian original) Zbl 1235.60045 Theory Probab. Math. Stat. 82, 1-10 (2011); translation from Teor. Jmovirn. Mat. Stat. No. 82, 21-29. MSC: 60G50 60K05 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Probab. Math. Stat. 82, 1--10 (2011; Zbl 1235.60045); translation from Teor. Jmovirn. Mat. Stat. No. 82, 21--2 Full Text: DOI
Samoĭlenko, A. M.; Skorokhod, A. V.; Kovalenko, I. M.; Gusak, D. V.; Samoĭlenko, I. V. Volodimir Semenovich Korolyuk (on the occasion of his 85th birthday). (Ukrainian) Zbl 1232.01029 Teor. Jmovirn. Mat. Stat. 82, 1-4 (2010). MSC: 01A70 PDFBibTeX XMLCite \textit{A. M. Samoĭlenko} et al., Teor. Ĭmovirn. Mat. Stat. 82, 1--4 (2010; Zbl 1232.01029)
Gusak, D. V. On some generalizations of the Pollachek-Khinchine formula. (English) Zbl 1224.60095 Theory Stoch. Process. 16, No. 1, 49-56 (2010). MSC: 60G50 60K10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Stoch. Process. 16, No. 1, 49--56 (2010; Zbl 1224.60095)
Gusak, Dmytro; Kukush, Alexander; Kulik, Alexey; Mishura, Yuliya; Pilipenko, Andrey Theory of stochastic processes. With applications to financial mathematics and risk theory. (English) Zbl 1189.60001 Problem Books in Mathematics. New York, NY: Springer (ISBN 978-0-387-87861-4/hbk; 978-1-4614-2506-9/pbk; 978-0-387-87862-1/ebook). xii, 375 p. (2010). Reviewer: Claudia Hein (Berlin) MSC: 60-01 60G05 60G07 91B30 91G80 PDFBibTeX XMLCite \textit{D. Gusak} et al., Theory of stochastic processes. With applications to financial mathematics and risk theory. New York, NY: Springer (2010; Zbl 1189.60001) Full Text: DOI
Gusak, D. V. Prelimit and limit generalizations of the Pollaczek-Khinchin formula. (Ukrainian, English) Zbl 1224.60096 Teor. Jmovirn. Mat. Stat. 80, 34-42 (2009); translation in Theory Probab. Math. Stat. 80, 37-46 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G50 60K10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Teor. Ĭmovirn. Mat. Stat. 80, 34--42 (2009; Zbl 1224.60096); translation in Theory Probab. Math. Stat. 80, 37--46 (2010) Full Text: DOI
Gusak, Dmytro On some characteristics of the claim surplus process. (English) Zbl 1194.91093 Theory Stoch. Process. 14(30), No. 1, 49-59 (2008). MSC: 91B30 60K10 PDFBibTeX XMLCite \textit{D. Gusak}, Theory Stoch. Process. 14(30), No. 1, 49--59 (2008; Zbl 1194.91093)
Gusak, D. V. Behavior of risk processes with random premiums after ruin and a multivariate ruin function. (Ukrainian, English) Zbl 1164.62418 Ukr. Mat. Zh. 59, No. 11, 1473-1484 (2007); translation in Ukr. Math. J. 59, No. 11, 1653-1667 (2007). MSC: 62P05 91B30 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 59, No. 11, 1473--1484 (2007; Zbl 1164.62418); translation in Ukr. Math. J. 59, No. 11, 1653--1667 (2007) Full Text: DOI
Gusak, D. V. Behavior of classical risk processes after ruin and a multivariate ruin function. (Ukrainian, English) Zbl 1164.62417 Ukr. Mat. Zh. 59, No. 10, 1339-1352 (2007); translation in Ukr. Math. J. 59, No. 10, 1501-1516 (2007). MSC: 62P05 91B30 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 59, No. 10, 1339--1352 (2007; Zbl 1164.62417); translation in Ukr. Math. J. 59, No. 10, 1501--1516 (2007) Full Text: DOI
Gusak, D. V. Boundary value problems for processes with independent increments in risk theory. (Граничні задачі для процесів з незалежними приростами в теориї ризику.) (Ukrainian) Zbl 1199.60001 Pratsi Instytutu Matematyky Natsional’noïAkademiïNauk Ukraïny. Matematyka ta ïïZastosuvannya 65. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-4349-1). 460 p. (2007). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60-01 60-02 60G50 60K20 60G51 60J70 60K10 60K15 60G55 62P05 91B30 PDFBibTeX XMLCite \textit{D. V. Gusak}, Граничні задачі для процесів з незалежними приростами в теориї ризику (Ukrainian). Kyïv: Instytut Matematyky NAN Ukraïny (2007; Zbl 1199.60001)
Gusak, D. V.; Karnaukh, E. V. On the exit from a finite interval for the risk processes with stochastic premiums. (English) Zbl 1142.60344 Theory Stoch. Process. 11, No. 27, Part 3-4, 71-81 (2005). MSC: 60G50 60K10 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{E. V. Karnaukh}, Theory Stoch. Process. 11(27), No. 3--4, 71--81 (2005; Zbl 1142.60344) Full Text: arXiv
Gusak, D. V.; Karnaukh, E. V. Matrix factorization identity for almost semi-continuous processes on a Markov chain. (English) Zbl 1142.60343 Theory Stoch. Process. 11, No. 27, Part 1-2, 40-47 (2005). MSC: 60G50 60J70 60K10 60K15 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{E. V. Karnaukh}, Theory Stoch. Process. 11(27), No. 1--2, 40--47 (2005; Zbl 1142.60343) Full Text: arXiv
Gusak, Dmytro V. Risk processes with stochastic premiums and distributions of their functionals. (English) Zbl 1142.60345 Theory Stoch. Process. 11, No. 27, Part 1-2, 29-39 (2005). MSC: 60G50 60K10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Stoch. Process. 11(27), No. 1--2, 29--39 (2005; Zbl 1142.60345)
Gusak, D. V. On the exit of one class of random walks from an interval. (Ukrainian, English) Zbl 1093.60019 Ukr. Mat. Zh. 57, No. 9, 1209-1217 (2005); translation in Ukr. Math. J. 57, No. 9, 1413-1423 (2005). MSC: 60G50 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 57, No. 9, 1209--1217 (2005; Zbl 1093.60019); translation in Ukr. Math. J. 57, No. 9, 1413--1423 (2005) Full Text: DOI
Gusak, D. V. Versions of a compound Poisson process. (Ukrainian, English) Zbl 1097.60029 Teor. Jmovirn. Mat. Stat. 69, 26-37 (2004); translation in Theory Probab. Math. Stat. 69, 27-38 (2004). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G50 60J70 60K10 60K15 60G55 PDFBibTeX XMLCite \textit{D. V. Gusak}, Teor. Ĭmovirn. Mat. Stat. 69, 26--37 (2004; Zbl 1097.60029); translation in Theory Probab. Math. Stat. 69, 27--38 (2004) Full Text: Link
Gusak, Dmytro V. The connection of distributions of extrema for Lévy processes with its ladder points. (English) Zbl 1064.60099 Theory Stoch. Process. 10(26), No. 3-4, 35-42 (2004). MSC: 60G51 60K10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Stoch. Process. 10(26), No. 3--4, 35--42 (2004; Zbl 1064.60099)
Gusak, D. V. Distributions of maximum of the Lévy processes and their relations with ladder points. (Ukrainian. English summary) Zbl 1118.60045 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 8, 43-57 (2003). MSC: 60G70 60G51 PDFBibTeX XMLCite \textit{D. V. Gusak}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 8, 43--57 (2003; Zbl 1118.60045)
Gusak, D. V. Jump-over functionals for integer-valued Poisson processes. (Ukrainian, English) Zbl 1050.60051 Teor. Jmovirn. Mat. Stat. 68, 24-36 (2003); translation in Theory Probab. Math. Stat. 68, 27-40 (2004). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G55 PDFBibTeX XMLCite \textit{D. V. Gusak}, Teor. Ĭmovirn. Mat. Stat. 68, 24--36 (2003; Zbl 1050.60051); translation in Theory Probab. Math. Stat. 68, 27--40 (2004)
Gusak, D. V. Compound Poisson processes with two-sided reflection. (Ukrainian. English summary) Zbl 1020.60077 Ukr. Mat. Zh. 54, No. 12, 1616-1625 (2002). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60J99 60G17 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 54, No. 12, 1616--1625 (2002; Zbl 1020.60077)
Gusak, D. V. Distribution of overjump functionals of a semicontinuous homogeneous process with independent increments. (English. Ukrainian original) Zbl 1005.60061 Ukr. Math. J. 54, No. 3, 371-397 (2002); translation from Ukr. Mat. Zh. 54, No. 3, 303-322 (2002). MSC: 60G51 60J75 60G70 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 54, No. 3, 303--322 (2002; Zbl 1005.60061); translation from Ukr. Mat. Zh. 54, No. 3, 303--322 (2002)
Gusak, D. V. On the distribution of overjumping functionals of homogeneous process with independent increments. (Ukrainian. English summary) Zbl 1008.60033 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 6, 47-65 (2001). Reviewer: A.D.Borisenko (Kyïv) MSC: 60E10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 6, 47--65 (2001; Zbl 1008.60033)
Gusak, D. V. Factorization identity for semicontinuous process defined on a Markov chain. (English. Ukrainian original) Zbl 0998.60043 Theory Probab. Math. Stat. 64, 37-50 (2002); translation from Teor. Jmovirn. Mat. Stat. 64, 35-47 (2001). Reviewer: N.M.Zinchenko (Kyïv) MSC: 60G50 62P05 60J70 PDFBibTeX XMLCite \textit{D. V. Gusak}, Teor. Ĭmovirn. Mat. Stat. 64, 35--47 (2001; Zbl 0998.60043); translation from Teor. Jmovirn. Mat. Stat. 64, 35--47 (2001)
Gusak, Dmytro The distribution of extrema for risk processes on the finite Markov chain. (English) Zbl 0977.60059 Theory Stoch. Process. 7(23), No. 1-2, 109-120 (2001). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G50 60G70 PDFBibTeX XMLCite \textit{D. Gusak}, Theory Stoch. Process. 7(23), No. 1--2, 109--120 (2001; Zbl 0977.60059)
Gusak, D. V.; Bratijchuk, M. S.; Svishchuk, A. V. On the creative contribution of V. S. Korolyuk to the development of probability theory. (English. Ukrainian original) Zbl 0973.60047 Ukr. Math. J. 52, No. 8, 1161-1178 (2000); translation from Ukr. Mat. Zh. 52, No. 8, 1014-1030 (2000). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60G50 60K15 60K05 60G51 60J50 PDFBibTeX XMLCite \textit{D. V. Gusak} et al., Ukr. Mat. Zh. 52, No. 8, 1014--1030 (2000; Zbl 0973.60047); translation from Ukr. Mat. Zh. 52, No. 8, 1014--1030 (2000) Full Text: DOI
Samojlenko, A. M.; Skorokhod, A. V.; Kovalenko, I. M.; Yadrenko, M. I.; Gusak, D. V. Vladimir Semenovich Korolyuk (on his 75th birthday). (English. Ukrainian original) Zbl 0972.01037 Ukr. Math. J. 52, No. 8, 1159-1160 (2000); translation from Ukr. Mat. Zh. 52, No. 8, 1011-1013 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 01A70 60K15 PDFBibTeX XMLCite \textit{A. M. Samojlenko} et al., Ukr. Mat. Zh. 52, No. 8, 1011--1013 (2000; Zbl 0972.01037); translation from Ukr. Mat. Zh. 52, No. 8, 1011--1013 (2000)
Gusak, D. V. Ruin problem for an inhomogeneous semicontinuous integer-valued process. (English. Ukrainian original) Zbl 0972.60034 Ukr. Math. J. 52, No. 2, 234-248 (2000); translation from Ukr. Mat. Zh. 52, No. 2, 208-219 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G50 60J50 62P05 91B30 60G51 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 52, No. 2, 208--219 (2000; Zbl 0972.60034); translation from Ukr. Mat. Zh. 52, No. 2, 208--219 (2000) Full Text: DOI
Gusak, Dmytro V. The ruin problems for nonhomogeneous semicontinuous integer-valued processes. (English) Zbl 0993.60074 Theory Stoch. Process. 5(21), No. 3-4, 72-83 (1999). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60J35 62P05 60K10 60K15 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Stoch. Process. 5(21), No. 3--4, 72--83 (1999; Zbl 0993.60074)
Gusak, D. V.; Korkuna, O. P. On a moment of the first passage of a level by oscillatory semicontinuous processes. (Russian. English summary) Zbl 0960.60065 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 11, 18-23 (1999). MSC: 60J75 62P05 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{O. P. Korkuna}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 11, 18--23 (1999; Zbl 0960.60065)
Gusak, D. V. Limit behavior of the distribution of the ruin moment of a modified risk process. (English. Ukrainian original) Zbl 0954.62124 Ukr. Math. J. 51, No. 6, 948-955 (1999); translation from Ukr. Mat. Zh. 51, No. 6, 847-853 (1999). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 62P05 91B30 60G35 60E10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 51, No. 6, 847--853 (1999; Zbl 0954.62124); translation from Ukr. Mat. Zh. 51, No. 6, 847--853 (1999)
Gusak, D. V. On a generalized semicontinuous integer-valued Poisson process with reflection. (English. Ukrainian original) Zbl 0958.60076 Theory Probab. Math. Stat. 59, 41-46 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 41-46 (1998). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60J50 60J70 60K10 60K15 PDFBibTeX XMLCite \textit{D. V. Gusak}, Teor. Ĭmovirn. Mat. Stat. 59, 40--46 (1998; Zbl 0958.60076); translation from Teor. Jmorvirn. Mat. Stat. 59, 41--46 (1998)
Gusak, D. V. On the first ruin moment for a modified risk process with immediate reflection. (English. Ukrainian original) Zbl 0945.60035 Ukr. Math. J. 50, No. 10, 1622-1629 (1998); translation from Ukr. Mat. Zh. 50, No. 10, 1419-1425 (1998). Reviewer: V.A.Gasanenko (Kyïv) MSC: 60G40 60J35 60J25 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 50, No. 10, 1419--1425 (1998; Zbl 0945.60035); translation from Ukr. Mat. Zh. 50, No. 10, 1419--1425 (1998) Full Text: DOI
Gusak, D. V. 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.) (Ukrainian. English summary) Zbl 0909.60051 Trudy Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. 18. Kyïv: Instytut Matematyky NAN Ukraïny. 320 p. (1998). Reviewer: V.S.Korolyuk (Kyïv) MSC: 60J99 60-02 60K15 60J27 PDFBibTeX XMLCite \textit{D. V. Gusak}, Granychni zadachi dlya protsesiv z nezalezhnymy pryrostamy na skinchennykh lantsyugakh Markova ta dlya napivmarkovs'kykh protsesiv (Ukrainian). Kyïv: Instytut Matematyky NAN Ukraïny (1998; Zbl 0909.60051)
Gusak, Dmytro V. On the modified risk process with reflection. (English) Zbl 0942.60024 Theory Stoch. Process. 3(19), No. 1-2, 197-207 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G50 60J70 91B30 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Stoch. Process. 3(19), No. 1--2, 197--207 (1997; Zbl 0942.60024)
Gusak, D. V. On modifications of ruin processes. (English. Ukrainian original) Zbl 0923.60049 Theory Probab. Math. Stat. 56, 87-95 (1998); translation from Teor. Jmovirn. Mat. Stat. 56, 87-95 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G50 60K10 60K15 60J70 62P05 PDFBibTeX XMLCite \textit{D. V. Gusak}, Teor. Ĭmovirn. Mat. Stat. 56, 87--95 (1997; Zbl 0923.60049); translation from Teor. Jmovirn. Mat. Stat. 56, 87--95 (1997)
Gusak, D. V. Basic identities for additive continuously distributed sequences. (English. Ukrainian original) Zbl 0942.60027 Ukr. Math. J. 48, No. 12, 1868-1879 (1996); translation from Ukr. Mat. Zh. 48, No. 12, 1651-1660 (1996). MSC: 60G50 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Math. J. 48, No. 12, 1868--1879 (1996; Zbl 0942.60027); translation from Ukr. Mat. Zh. 48, No. 12, 1651--1660 (1996) Full Text: DOI
Gusak, D. V. A sojourn time in a fixed state for integer valued random additive sequences. (Ukrainian) Zbl 0894.60042 Dopov. Akad. Nauk Ukr. 1996, No. 2, 16-20 (1996). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60G50 60E10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Dopov. Akad. Nauk Ukr. 1996, No. 2, 16--20 (1996; Zbl 0894.60042)
Gusak, D. V.; Rozumenko, A. M. On extrema of integer-valued processes, defined by sums of a random number of addenda. (English) Zbl 0826.60041 Random Oper. Stoch. Equ. 3, No. 1, 87-100 (1995). Reviewer: W.Dziubdziela (Wrocław) MSC: 60G70 60K05 60G50 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{A. M. Rozumenko}, Random Oper. Stoch. Equ. 3, No. 1, 87--100 (1995; Zbl 0826.60041) Full Text: DOI
Gusak, D. V. Fundamental identities for boundary functionals of additive sequences. (English) Zbl 0967.60054 Skorokhod, A. V. (ed.) et al., Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 135-146 (1995). Reviewer: Anatoli Mogulskij (Novosibirsk) MSC: 60G50 PDFBibTeX XMLCite \textit{D. V. Gusak}, in: Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 135--146 (1995; Zbl 0967.60054)
Gusak, D. V. On crossing of a level by process defined by sums of a random number of terms. (English. Ukrainian original) Zbl 0943.60042 Ukr. Math. J. 47, No. 7, 1030-1049 (1995); translation from Ukr. Mat. Zh. 47, No. 7, 897-914 (1995). Reviewer: N.M.Zinchenko (Kyïv) MSC: 60G51 60G17 60J75 60G50 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 47, No. 7, 897--914 (1995; Zbl 0943.60042); translation from Ukr. Mat. Zh. 47, No. 7, 897--914 (1995) Full Text: DOI
Gusak, D. V. The joint distribution of a process defined by the sum of a random number of summands and its extrema. I. (English. Ukrainian original) Zbl 0942.60026 Theory Probab. Math. Stat. 52, 43-54 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 41-52 (1995). Reviewer: O.K.Zakusilo (Kyïv) MSC: 60G50 60J70 60K10 60K15 PDFBibTeX XMLCite \textit{D. V. Gusak}, Teor. Ĭmovirn. Mat. Stat. 52, 41--52 (1995; Zbl 0942.60026); translation from Teor. Jmovirn. Mat. Stat. 52, 41--52 (1995)
Gusak, D. V. The ruin probability and the first exit time for a class of processes with independent increments. (English) Zbl 1029.60510 Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25-October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 329-340 (1995). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G30 PDFBibTeX XMLCite \textit{D. V. Gusak}, in: New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25--October 1, 1992. Kiev: TViMS. 329--340 (1995; Zbl 1029.60510)
Gusak, D. V.; Korkuna, O. P. Semicontinuous oscillating walks with the nondegenerate Wiener component. (Russian) Zbl 0785.60029 Korolyuk, V. S. (ed.), Asymptotic and applied problems in the theory of random evolutions. Collection of scientific works. Kiev: Institut Matematiki AN USSR. 7-12 (1990). MSC: 60J99 60E10 60F05 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{O. P. Korkuna}, in: Asimptoticheskie i prikladnye zadachi teorii sluchajnykh ehvolyutsij. Sbornik nauchnykh trudov. Kiev: Institut Matematiki AN USSR. 7--12 (1990; Zbl 0785.60029)
Bratijchuk, N. S.; Gusak, D. V. Boundary problems for processes with independent increments. (Granichnye zadachi dlya protsessov s nezavisimymi prirashcheniyami.) (Russian. English summary) Zbl 0758.60074 Kiev: Naukova Dumka. 264 p. (1990). Reviewer: S.Rachev (Santa Barbara) MSC: 60J99 60-02 60F15 60G70 PDFBibTeX XMLCite \textit{N. S. Bratijchuk} and \textit{D. V. Gusak}, Granichnye zadachi dlya protsessov s nezavisimymi prirashcheniyami (Russian). Kiev: Naukova Dumka (1990; Zbl 0758.60074)
Gusak, D. V. Oscillating processes with independent increments and nondegenerate Wiener component. (English. Russian original) Zbl 0732.60082 Ukr. Math. J. 42, No. 10, 1257-1261 (1990); translation from Ukr. Mat. Zh. 42, No. 10, 1415-1421 (1990). Reviewer: D.Aissani (Bejaia) MSC: 60J99 60G50 60E10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Math. J. 42, No. 10, 1257--1261 (1990; Zbl 0732.60082); translation from Ukr. Mat. Zh. 42, No. 10, 1415--1421 (1990) Full Text: DOI
Gusak, D. V. On oscillating random walk schemes. II. (English. Russian original) Zbl 0714.60053 Theory Probab. Math. Stat. 40, 11-17 (1990); translation from Teor Veroyatn. Mat. Stat., Kiev 40, 11-17 (1989). MSC: 60G50 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Probab. Math. Stat. 40, 11--17 (1990; Zbl 0714.60053); translation from Teor Veroyatn. Mat. Stat., Kiev 40, 11--17 (1989)
Gusak, D. V. On oscillating random walk schemes. I. (English. Russian original) Zbl 0713.60077 Theory Probab. Math. Stat. 39, 41-46 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 33-39 (1988). MSC: 60G50 60G99 60E99 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Probab. Math. Stat. 39, 41--46 (1989; Zbl 0713.60077); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 33--39 (1988)
Gusak, D. V. Boundary value problems for processes with independent increments and cumulants of a special form. (Russian) Zbl 0712.60084 Analytical methods for the investigation of the evolution of stochastic systems, Collect. Sci. Works, Kiev, 4-10 (1989). Reviewer: N.S.Bratijchuk MSC: 60J99 60J50 PDFBibTeX XML
Gusak, D. V. On a model of oscillating random walk. (Russian) Zbl 0696.60066 Analytical methods in probabilistic problems, Collect. Sci. Works, 25-27 (1988). Reviewer: S.Grigorescu MSC: 60G50 60G55 60K25 PDFBibTeX XML
Gusak, D. V. On oscillating schemes of a random walk. I. (Russian) Zbl 0669.60066 Teor. Veroyatn. Mat. Stat. 39, 33-39 (1988). Reviewer: D.V.Gusak MSC: 60G50 60G99 60E99 PDFBibTeX XML
Gusak, D. V.; Tureniyazova, A. I. Lattice semicontinuous Poisson processes on Markov chains. (English. Russian original) Zbl 0663.60059 Ukr. Math. J. 39, No. 6, 573-576 (1987); translation from Ukr. Mat. Zh. 39, No. 6, 707-711 (1987). MSC: 60J99 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{A. I. Tureniyazova}, Ukr. Math. J. 39, No. 6, 573--576 (1987; Zbl 0663.60059); translation from Ukr. Mat. Zh. 39, No. 6, 707--711 (1987) Full Text: DOI
Korolyuk, V. S. (ed.) [Bratijchuk, N. S.; Gasanenko, V. A.; Grikh, Z. A.; Gusak, D. V.; Tureniyazova, A. I.; Demenin, A. N.; Diesperova, M. M.; Dobrovol’skij, V. V.; Dukhovnyj, A. M.; Zhdanova, Yu. D.; Zaigraev, A. Yu.; Zayats, V. V.; Korolyuk, V. S.; Borovskikh, Yu. V.; Marushin, M. N.; Melyaeva, O.; Pratsevityj, N. V.; Svishchuk, A. V.; Solopko, I. O.; Turbin, A. F.; Novikov, M. M.; Cherenkov, A. P.; Yatsishin, Yu. V.] Asymptotic methods in the investigation of stochastic models. Collection of scientific works. (Asimptoticheskie metody v issledovanii stokhasticheskikh modelej. Sbornik nauchnykh trudov). (Russian) Zbl 0658.60005 Kiev: Institut Matematiki AN USSR. 147 p. R. 1.05 (1987). MSC: 60-06 00Bxx 62-06 60F17 60K15 60K25 60B15 62K05 PDFBibTeX XML
Gusak, D. V.; Tureniyazova, A. I. On lattice semicontinuous Poisson processes on a Markov chain. (Russian) Zbl 0645.60079 Ukr. Mat. Zh. 39, No. 6, 707-711 (1987). Reviewer: V.V.Kalashnikov MSC: 60J99 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{A. I. Tureniyazova}, Ukr. Mat. Zh. 39, No. 6, 707--711 (1987; Zbl 0645.60079)
Gusak, D. V. On a modification of the oscillating random walk. (Russian) Zbl 0625.60079 Application of analytical methods to probability problems, Collect. sci. Works, Kiev 1986, 16-27 (1986). Reviewer: Ge Yubo MSC: 60G50 60F05 60E10 PDFBibTeX XML
Bratijchuk, N. S.; Gusak, D. V. Ergodic distribution of an oscillating process with independent increments. (English. Russian original) Zbl 0623.60096 Ukr. Math. J. 38, 465-471 (1986); translation from Ukr. Mat. Zh. 38, No. 5, 547-554 (1986). MSC: 60J99 60F05 PDFBibTeX XMLCite \textit{N. S. Bratijchuk} and \textit{D. V. Gusak}, Ukr. Math. J. 38, 465--471 (1986; Zbl 0623.60096); translation from Ukr. Mat. Zh. 38, No. 5, 547--554 (1986) Full Text: DOI
Kaplan, B. I.; Gusak, D. V. An asymptotic representation of the potential of a lower continuous random walk on a Markov chain. (Russian) Zbl 0588.60065 Analytical methods in reliability theory, Collect. sci. Works, Kiev 1985, 70-75 (1985). Reviewer: G.Oprişan MSC: 60G50 60J45 PDFBibTeX XML
Gusak, D. V.; Kaplan, B. Iv. On the distribution of the time of stay in a fixed state for a scheme of walks with discretely distributed jumps. (Russian) Zbl 0553.60066 Analytical methods in problems of probability theory, Collect. sci. Works, Kiev 1984, 27-40 (1984). Reviewer: S.He MSC: 60G50 60J99 PDFBibTeX XML
Gusak, D. V. Distribution of the sojourn time of a homogeneous process with independent increments over an arbitrary level. (English) Zbl 0543.60077 Theory Probab. Appl. 28, 503-514 (1984). MSC: 60J99 60J10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Probab. Appl. 28, 503--514 (1984; Zbl 0543.60077) Full Text: DOI
Gusak, D. V. On the time of staying over a level for a homogeneous process with independent increments defined on a Markov chain. (Russian) Zbl 0539.60075 Application of analytical methods in probability theory, Collect. sci. Works, Kiev 1983, 34-41 (1983). Reviewer: N.M.Zinchenko MSC: 60J99 60E10 60J10 PDFBibTeX XML
Gusak, D. V. The distribution of the sojourn time of the homogeneous process with independent increments above an arbitrary level. (Russian) Zbl 0518.60081 Teor. Veroyatn. Primen. 28, No. 3, 478-503 (1983). MSC: 60J99 60J10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Teor. Veroyatn. Primen. 28, No. 3, 478--503 (1983; Zbl 0518.60081)
Gusak, D. V. How often is the sum of independent random variables larger than a given number? (English) Zbl 0505.60057 Ukr. Math. J. 34, 234-239 (1983). MSC: 60G50 60G17 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Math. J. 34, 234--239 (1983; Zbl 0505.60057) Full Text: DOI
Gusak, D. V. Factorized identities for sums of a random number of summands. (Russian) Zbl 0512.60036 Applied problems of probability theory, Collect. sci. Works, Kiev 1982, 25-44 (1982). MSC: 60G99 60G50 PDFBibTeX XML
Gusak, D. V. On the stay above the level of a sum of independent random variables. (Russian) Zbl 0497.60044 Ukr. Mat. Zh. 34, 289-295 (1982). MSC: 60G50 60G17 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 34, 289--295 (1982; Zbl 0497.60044) Full Text: DOI
Gusak, D. V.; Elejko, O. I. On an oscillating Poisson process. (Russian) Zbl 0481.60071 Analytical methods of investigation in probability theory, Collect. sci. Works, Kiev 1981, 35-47 (1981). MSC: 60J99 60G50 60E10 PDFBibTeX XML
Gusak, D. V. On boundary functionals for sums of a random number of summands. (Russian) Zbl 0481.60056 Analytical methods of investigation in probability theory, Collect. sci. Works, Kiev 1981, 20-35 (1981). MSC: 60G50 60E10 PDFBibTeX XML
Gusak, D. V. The distribution of the time of staying above an arbitrary level for a homogeneous process with indendent increments. (Ukrainian) Zbl 0454.60066 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1981, No. 1, 14-16 (1981). MSC: 60J99 60E10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1981, No. 1, 14--16 (1981; Zbl 0454.60066)
Gusak, D. V. Intersection of a level by a homogeneous process with independent increments and a nondegenerate Wiener component. (English) Zbl 0449.60024 Ukr. Math. J. 32, 247-250 (1981). MSC: 60G17 60J99 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Math. J. 32, 247--250 (1981; Zbl 0449.60024) Full Text: DOI
Gusak, D. V. Remark to the paper ”On the compound Poisson process on a Markov chain”. (English) Zbl 0486.60064 Theory Probab. Math. Stat. 21, 43-45 (1980). MSC: 60G50 60J27 60G55 60E07 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Probab. Math. Stat. 21, 43--45 (1980; Zbl 0486.60064)
Gusak, D. V. On the level-crossing from homogeneous processes with independent increments and non-degenerative Wiener component. (Russian) Zbl 0436.60033 Ukr. Mat. Zh. 32, 373-378 (1980). MSC: 60G17 60J99 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 32, 373--378 (1980; Zbl 0436.60033)
Gusak, D. V. On the compound Poisson process on a Markov chain. (English) Zbl 0433.60074 Theory Probab. Math. Stat. 17, 45-54 (1979). MSC: 60G50 60J27 60G55 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Probab. Math. Stat. 17, 45--54 (1979; Zbl 0433.60074)
Gusak, D. V. A distribution of limit overleap value for compound Poisson processes on a Markov chain. (Russian) Zbl 0418.60078 Analytical Methods in probability theory, Collect. Sci. Works, Kiev 1979, 34-43 (1979). MSC: 60J25 PDFBibTeX XML
Gusak, D. V. Remark to the article ”On compound Poisson process on a Markov chain”. (Russian) Zbl 0412.60052 Teor. Veroyatn. Mat. Stat. 21, 39-42 (1979). MSC: 60G55 60J10 60E07 PDFBibTeX XML
Gusak, D. V. On continuous homogeneous processes with independent increments on a Markov chain. (English) Zbl 0451.60069 Theory Probab. Math. Stat. 16, 29-46 (1978). MSC: 60J99 60J25 PDFBibTeX XMLCite \textit{D. V. Gusak}, Theory Probab. Math. Stat. 16, 29--46 (1978; Zbl 0451.60069)
Gusak, D. V.; Peresypkina, S. I. The time spent above a fixed level by a class of controlled random processes. (English) Zbl 0412.60081 Ukr. Math. J. 30, 270-274 (1978). MSC: 60J27 90C47 93E99 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{S. I. Peresypkina}, Ukr. Math. J. 30, 270--274 (1978; Zbl 0412.60081) Full Text: DOI
Gusak, D. V. The distribution of the time the maximum is achieved by a homogeneous process with independent increments. (English) Zbl 0385.60061 Sel. Transl. Math. Stat. Probab. 14, 107-110 (1978). MSC: 60J99 60G17 60G50 PDFBibTeX XMLCite \textit{D. V. Gusak}, Sel. Transl. Math. Stat. Probab. 14, 107--110 (1978; Zbl 0385.60061)
Gusak, D. V.; Peresypkina, S. I. Über die Aufenthaltszeit oberhalb eines Niveau einer Klasse regelbarer stochastischer Prozesse. (Russian) Zbl 0385.60060 Ukr. Mat. Zh. 30, 352-357 (1978). MSC: 60J27 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{S. I. Peresypkina}, Ukr. Mat. Zh. 30, 352--357 (1978; Zbl 0385.60060)
Gusak, D. V. On compound Poisson process on a Markov chain. (Russian) Zbl 0407.60074 Teor. Veroyatn. Mat. Stat. 17, 41-51 (1977). MSC: 60J10 60J50 60G55 PDFBibTeX XML
Gusak, D. V. On continuous homogeneous processes with independent increments on a Markov chain. (Russian) Zbl 0399.60068 Teor. Veroyatn. Mat. Stat. 16, 29-45 (1977). MSC: 60J99 PDFBibTeX XML
Gusak, D. V. Probabilities of the first exit for continuous processes with independent increments on a Markov chain. (English) Zbl 0369.60091 Proc. 3rd Japan-USSR Symp. Probab. Theory, Taschkent 1975, Lect. Notes Math. 550, 181-193 (1976). MSC: 60J99 60J10 60G50 PDFBibTeX XML
Gusak, D. V. Probabilities of the first exit for continuous processes with independent increments on a Markov chain. (English) Zbl 0362.60077 Proc. 3rd Japan-USSR Symp. Probab. Theory, Taschkent 1975, Lect. Notes Math. 550, 181-193 (1976). MSC: 60J99 60J10 PDFBibTeX XML
Gusak, D. V.; Korolyuk, V. S. The asymptotic behavior of semi-Markov processes with a decomposable set of states. (English) Zbl 0348.60124 Theor. Probab. math. Statist. 5 (1971, 1975), 43-51 (1976). MSC: 60K15 PDFBibTeX XML
Gusak, D. V. A remark on canonical and infinitely divisible factorization. (English) Zbl 0348.60016 Theor. Probab. math. Statist. 4 (1971, 1974), 51-53 (1976). MSC: 60E05 PDFBibTeX XML
Gusak, D. V. Extreme values of nondegenerate Wiener processes controlled by a finite Markov chain. (English) Zbl 0344.60051 Theor. Probab. math. Statist. 6(1972, 1975), 47-52 (1976). MSC: 60J99 PDFBibTeX XML
Mitropol’skij, Yu. A.; Skorokhod, A. V.; Gusak, D. V.; Turbin, A. F. Asymptotic method for probability problems. (English) Zbl 0339.60025 Ukr. Math. J. 27(1975), 380-384 (1976). MSC: 60G05 60F05 PDFBibTeX XMLCite \textit{Yu. A. Mitropol'skij} et al., Ukr. Math. J. 27, 380--384 (1976; Zbl 0339.60025) Full Text: DOI
Mitropol’skij, Yu. A.; Skorokhod, A. V.; Gusak, D. V.; Turbin, A. F. Asymptotic methods in probability problems. (Russian) Zbl 0318.60018 Ukr. Mat. Zh. 27, 471-476 (1975). MSC: 60F05 60J05 60K15 60J75 PDFBibTeX XMLCite \textit{Yu. A. Mitropol'skij} et al., Ukr. Mat. Zh. 27, 471--476 (1975; Zbl 0318.60018)
Gusak, D. V.; Peresypkina, S. I. Distribution of the exit time and value for homogeneous processes with independent increments given on a finite Markov chain. (English. Russian original) Zbl 0304.60042 Ukr. Math. J. 26(1974), 239-245 (1975); translation from Ukr. Mat. Zh. 26, 291-299 (1974). MSC: 60J99 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{S. I. Peresypkina}, Ukr. Math. J. 26, 239--245 (1975; Zbl 0304.60042); translation from Ukr. Mat. Zh. 26, 291--299 (1974) Full Text: DOI
Gusak, D. V.; Peresypkina, S. I. On the moment of reaching the maximum for homogeneous processes with independent increments controlled by a Markov chain. (Ukrainian) Zbl 0301.60049 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1974, 589-592 (1974). MSC: 60J99 PDFBibTeX XMLCite \textit{D. V. Gusak} and \textit{S. I. Peresypkina}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1974, 589--592 (1974; Zbl 0301.60049)
Gusak, D. V.; Korolyuk, V. S. The distribution of functionals of homogeneous processes with independent increments. (English) Zbl 0287.60081 Theor. Probab. math. Statist. 1(1970), 53-72 (1974). MSC: 60J99 60B10 60G17 PDFBibTeX XML
Skorokhod, A. V. (ed.) [Afanas’eva, L. G.; Karpenko, L. D.; Petunin, Yu. I.; Chorayan, O. G.; Boĭko, R. V.; Butsan, G. P.; Bu The Hyu; Gadzhiev, V. G.; Gusak, D. V.; Dotsenko, V. S.; Dorogovtsev, A. Ya.; Ibramkhalilov, I. Sh.; Ivanov, A. V.; Knopov, P. S.; Shtatland, È. S.; Kononchuk, L. P.; Rakhimov, G.; Kuk, Yu. V.; Pisanets, S. I.; Portenko, N. I.; Skorokhod, A. V.; Slobodenyuk, N. P.; Hacet, S. V.; Yadrenko, M. I.; Yuditskiĭ, M. I.] Questions of statistics and of the control of random processes. (Вопросы статистики и управления случайными процессами. Fragen der Statistik und Steuerung zufälliger Prozesse.) (Russian) Zbl 0329.62067 Kiev: Izdanie Instituta Matematiki AN USSR. 276 S. R. 1.32 (1973). MSC: 62-06 60-06 00B15 62Mxx 60Gxx 93E10 60Jxx 93E20 62J05 92B05 62K05 PDFBibTeX XML
Gusak, D. V. Über eine Klasse von Prozessen mit unabhängigen Zuwächsen auf einer endlichen Markovschen Kette. (Russian) Zbl 0281.60080 Ukr. Mat. Zh. 25, 170-178 (1973). MSC: 60J99 60J10 PDFBibTeX XMLCite \textit{D. V. Gusak}, Ukr. Mat. Zh. 25, 170--178 (1973; Zbl 0281.60080) Full Text: DOI
Gusak, D. V. Verteilung der Extrema von Wiener-Prozessen mit Verschiebung, die durch endliche Markovsche Ketten gesteuert werden. (Russian) Zbl 0281.60041 Inform. Theory, statist. Decision Funct., Random Processes; Transact. 6th Prague Conf. 1971, 207-212 (1973). MSC: 60G15 60J99 PDFBibTeX XML
Gusak, D. V. On the continuous passage through a fixed level of a homogeneous process with independent increments on a Markov chain. (English) Zbl 0261.60047 Proc. 2nd Japan-USSR Sympos. Probab. Theory, Kyoto 1972, Lect. Notes Math. 330, 95-103 (1973). MSC: 60J99 60J10 60G99 PDFBibTeX XML