Bratijchuk, N. S.; Konovalyuk, V. S. The queue length in a queueing system of the type \(\text{GI/GI/}1\). (Russian) Zbl 0935.60071 Dopov. Akad. Nauk Ukr. 1997, No. 10, 20-25 (1997). MSC: 60K25 PDFBibTeX XMLCite \textit{N. S. Bratijchuk} and \textit{V. S. Konovalyuk}, Dopov. Akad. Nauk Ukr. 1997, No. 10, 20--25 (1997; Zbl 0935.60071)
Bratijchuk, N. S. To the problem of canonical factorization for Markov additive processes. (English) Zbl 0941.60084 Ukr. Math. J. 47, No. 7, 997-1005 (1995) and Ukr. Mat. Zh. 47, No. 7, 868-875 (1995). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60J10 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Mat. Zh. 47, No. 7, 869--875 (1995; Zbl 0941.60084) Full Text: DOI
Bratijchuk, N. S.; Pirdjanov, B. On a new approach in studying the busy period of system \(GI/G/1\). (English) Zbl 0818.60085 Shiryaev, A. N. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 10-18 (1992). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{N. S. Bratijchuk} and \textit{B. Pirdjanov}, in: Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 10--18 (1992; Zbl 0818.60085)
Bratijchuk, N. S.; Pirdzhanov, B. A limit theorem for the time of attainment and the size of the jump over a level by a regenerative semi-Markov random walk. (English. Russian original) Zbl 0800.60035 Lin’kov, Yu. N. (ed.), Theory of random processes and its applications. Kiev: Naukova Dumka. 41-48 (1990). MSC: 60K15 PDFBibTeX XMLCite \textit{N. S. Bratijchuk} and \textit{B. Pirdzhanov}, in: Теория случайных процессов и ее приложения. Kiev: Naukova Dumka. 41--48 (1990; Zbl 0800.60035)
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)
Bratijchuk, N. S. Arrival time and jump size for a random walk on a Markov chain. (English. Russian original) Zbl 0722.60071 Theory Probab. Appl. 35, No. 2, 228-240 (1990); translation from Teor. Veroyatn. Primen. 35, No. 2, 231-241 (1990). MSC: 60G50 60J10 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Theory Probab. Appl. 35, No. 2, 228--240 (1990; Zbl 0722.60071); translation from Teor. Veroyatn. Primen. 35, No. 2, 231--241 (1990) Full Text: DOI
Bratijchuk, N. S. Size of the jump and behavior of the absolute maximum for processes with independent increments. (English. Russian original) Zbl 0714.60065 Ukr. Math. J. 42, No. 4, 397-403 (1990); translation from Ukr. Mat. Zh. 42, No. 4, 451-458 (1990). MSC: 60J50 60J99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Math. J. 42, No. 4, 397--403 (1990; Zbl 0714.60065); translation from Ukr. Mat. Zh. 42, No. 4, 451--458 (1990) Full Text: DOI
Bratijchuk, N. S. Passage time and overshoot of a level for a random walk on a Markov chain. (Russian) Zbl 0704.60073 Teor. Veroyatn. Primen. 35, No. 2, 231-241 (1990). Reviewer: K.Schürger MSC: 60G50 60J10 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Teor. Veroyatn. Primen. 35, No. 2, 231--241 (1990; Zbl 0704.60073)
Bratijchuk, N. S. The value of a jump and the behavior of the absolute maximum for processes with independent increments. (Russian) Zbl 0699.60070 Ukr. Mat. Zh. 42, No. 4, 451-458 (1990). Reviewer: N.S.Bratijchuk MSC: 60J50 60J99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Mat. Zh. 42, No. 4, 451--458 (1990; Zbl 0699.60070)
Bratijchuk, N. S. Boundary-value problems for sums of random variables, defined on a countably-valued Markov chain. II. (English. Russian original) Zbl 0699.60069 Ukr. Math. J. 41, No. 5, 511-517 (1989); translation from Ukr. Mat. Zh. 41, No. 5, 590-597 (1989). Reviewer: N.S.Bratijchuk MSC: 60J50 60J10 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Math. J. 41, No. 5, 511--517 (1989; Zbl 0699.60069); translation from Ukr. Mat. Zh. 41, No. 5, 590--597 (1989) Full Text: DOI
Bratijchuk, N. S. Boundary-value problems for sums of random variables, defined on a countably valued Markov chain. I. (English. Russian original) Zbl 0699.60068 Ukr. Math. J. 41, No. 2, 125-131 (1989); translation from Ukr. Mat. Zh. 41, No. 2, 139-146 (1989). MSC: 60J50 60J10 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Math. J. 41, No. 2, 125--131 (1989; Zbl 0699.60068); translation from Ukr. Mat. Zh. 41, No. 2, 139--146 (1989) Full Text: DOI
Bratijchuk, N. S. Properties of the maximum and minimum of a process with independent increments with zero mean value and finite variance. (Russian. English summary) Zbl 0697.60077 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 10, 7-8 (1989). MSC: 60J99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 10, 7--8 (1989; Zbl 0697.60077)
Bratijchuk, N. S. Boundary value problems for sums of random variables given on a countably-valued Markov chain. I. (Russian) Zbl 0671.60069 Ukr. Mat. Zh. 41, No. 2, 139-146 (1989). Reviewer: N.S.Bratijchuk MSC: 60J10 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Mat. Zh. 41, No. 2, 139--146 (1989; Zbl 0671.60069)
Bratijchuk, N. S. Properties of the maximum and minimum of a process with independent increments. (English. Russian original) Zbl 0793.60085 J. Sov. Math. 67, No. 4, 3162-3166 (1993); translation from Teor. Sluchajnykh Protsessov 16, 14-18 (1988). MSC: 60J99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, J. Sov. Math. 67, No. 4, 1 (1988; Zbl 0793.60085); translation from Teor. Sluchajnykh Protsessov 16, 14--18 (1988)
Bratijchuk, N. S. Some maximum and minimum properties for a process with independent increments. (Russian) Zbl 0673.60078 Teor. Sluchajnykh Protsessov 16, 14-18 (1988). Reviewer: Z.Rychlik MSC: 60J99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Teor. Sluch. Protsess. 16, 14--18 (1988; Zbl 0673.60078)
Bratijchuk, N. S. Some problems for random walks defined on a countable Markov chain. (English. Russian original) Zbl 0671.60068 Theory Probab. Math. Stat. 39, 21-27 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 18-23 (1988). Reviewer: N.S.Bratijchuk MSC: 60J10 60G50 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Theory Probab. Math. Stat. 39, 21--27 (1988; Zbl 0671.60068); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 18--23 (1988)
Bratijchuk, N. S. Properties of a walk on an ergodic Markov chain. (English. Russian original) Zbl 0663.60057 Ukr. Math. J. 40, No. 1, 20-25 (1988); translation from Ukr. Mat. Zh. 40, No. 1, 25-31 (1988). MSC: 60G50 60J10 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Math. J. 40, No. 1, 20--25 (1988; Zbl 0663.60057); translation from Ukr. Mat. Zh. 40, No. 1, 25--31 (1988) Full Text: DOI
Bratijchuk, N. S. Distribution of the absolute maximum and of the magnitude of the passage for a process with independent increments. (Russian. English summary) Zbl 0646.60084 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 6, 7-10 (1988). Reviewer: Z.Rychlik MSC: 60J99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 6, 7--10 (1988; Zbl 0646.60084)
Bratijchuk, N. S. Some walk properties on an ergodic Markov chain. (Russian) Zbl 0645.60075 Ukr. Mat. Zh. 40, No. 1, 25-31 (1988). Reviewer: V.V.Kalashnikov MSC: 60G50 60J10 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Mat. Zh. 40, No. 1, 25--31 (1988; Zbl 0645.60075) 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
Bratijchuk, N. S. On a model of water storage. (Russian) Zbl 0625.60108 Application of analytical methods to probability problems, Collect. sci. Works, Kiev 1986, 10-15 (1986). Reviewer: Şt.P.Niculescu MSC: 60K20 60G10 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
Bratijchuk, N. S.; Korolyuk, V. S. The resolvent of a homogeneous process with independent increments stopped on a halfline. (English) Zbl 0585.60073 Theory Probab. Appl. 30, 395-398 (1986). MSC: 60J99 60J35 60E05 PDFBibTeX XMLCite \textit{N. S. Bratijchuk} and \textit{V. S. Korolyuk}, Theory Probab. Appl. 30, 395--398 (1986; Zbl 0585.60073) Full Text: DOI
Bratijchuk, N. S. State of a process with independent increments at the moment of exit from an interval. (English. Russian original) Zbl 0662.60061 Ukr. Math. J. 37, 539-542 (1985); translation from Ukr. Mat. Zh. 37, No. 5, 660-663 (1985). MSC: 60G99 60J99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Math. J. 37, 539--542 (1985; Zbl 0662.60061); translation from Ukr. Mat. Zh. 37, No. 5, 660--663 (1985) Full Text: DOI
Bratijchuk, N. S.; Pirliev, B. Magnitude of the level jump by a random walk at the superposition of two renewal processes. (English. Russian original) Zbl 0598.60077 Ukr. Math. J. 37, 560-566 (1985); translation from Ukr. Mat. Zh. 37, No. 6, 689-695 (1985). Reviewer: L.Mutafchiev MSC: 60G50 60K05 PDFBibTeX XMLCite \textit{N. S. Bratijchuk} and \textit{B. Pirliev}, Ukr. Math. J. 37, 560--566 (1985; Zbl 0598.60077); translation from Ukr. Mat. Zh. 37, No. 6, 689--695 (1985) Full Text: DOI
Bratijchuk, N. S. Construction of the resolvent of a process with independent increments, terminating at the instant of exit from an interval. (English) Zbl 0587.60070 Theory Probab. Math. Stat. 30, 25-33 (1985). MSC: 60J35 60J99 60G40 60J45 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Theory Probab. Math. Stat. 30, 25--33 (1985; Zbl 0587.60070)
Bratijchuk, N. S. Situation of a process with independent increments in the moment of exit from an interval. (Russian) Zbl 0586.60046 Ukr. Mat. Zh. 37, No. 5, 660-663 (1985). Reviewer: G.A.Sokhadze MSC: 60G99 60J99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Mat. Zh. 37, No. 5, 660--663 (1985; Zbl 0586.60046)
Bratijchuk, N. S.; Korolyuk, V. S. The resolvent of a homogeneous process with independent increments killed on a halfaxis. (Russian) Zbl 0575.60070 Teor. Veroyatn. Primen. 30, No. 2, 368-372 (1985). Reviewer: A.I.Ponomarenko MSC: 60J99 60J35 60E05 PDFBibTeX XMLCite \textit{N. S. Bratijchuk} and \textit{V. S. Korolyuk}, Teor. Veroyatn. Primen. 30, No. 2, 368--372 (1985; Zbl 0575.60070)
Bratijchuk, N. S. Construction of the resolvent of a process with independent increments breaking at the moment of leaving the interval. (Russian) Zbl 0566.60072 Teor. Veroyatn. Mat. Stat. 30, 25-34 (1984). Reviewer: G.Oprişan MSC: 60J35 60J99 60J45 PDFBibTeX XML
Bratijchuk, N. S. Asymptotic expansions in boundary value problems related to the return of a process with independent increments on the positive axis. (Russian) Zbl 0553.60071 Analytical methods in problems of probability theory, Collect. sci. Works, Kiev 1984, 4-16 (1984). Reviewer: S.He MSC: 60J99 60J50 60E10 PDFBibTeX XML
Bratijchuk, N. S. Boundary-value problems connected with the exit of a random walk from an interval. (English) Zbl 0499.60079 Ukr. Math. J. 33, 380-384 (1982). MSC: 60J99 60J35 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Math. J. 33, 380--384 (1982; Zbl 0499.60079) Full Text: DOI
Bratijchuk, N. S. Complete asymptotic expansion for the distribution of first exit times out of a strip of a process with independent increments. (Russian) Zbl 0492.60071 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 6, 6-9 (1982). MSC: 60J99 60F99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 6, 6--9 (1982; Zbl 0492.60071)
Bratijchuk, N. S. Boundary value problems connected with the exit of a random walk from the interval. (Russian) Zbl 0478.60080 Ukr. Mat. Zh. 33, 498-503 (1981). MSC: 60J99 60J35 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Ukr. Mat. Zh. 33, 498--503 (1981; Zbl 0478.60080)
Bratijchuk, N. S. On the size of the first jump for a process with independent increments. (English) Zbl 0429.60075 Russ. Math. Surv. 34, No. 2, 219-220 (1979). MSC: 60J99 60J35 60J45 60G99 PDFBibTeX XMLCite \textit{N. S. Bratijchuk}, Russ. Math. Surv. 34, No. 2, 219--220 (1979; Zbl 0429.60075) Full Text: DOI
Bratijchuk, N. S. Limit theorems for random walks with two boundaries. (Russian) Zbl 0416.60079 Analytical Methods in Probability Theory, Collect. Sci. Works, Kiev 1979, 21-33 (1979). MSC: 60G50 60F05 PDFBibTeX XML
Bratiicuk, N. S. Über die Größe des ersten Sprunges für einen Prozeß mit unabhängigen Inkrementen. (Russian) Zbl 0407.60081 Usp. Mat. Nauk 34, No. 2(206), 189-190 (1979). MSC: 60J99 60J35 60J45 60G99 PDFBibTeX XMLCite \textit{N. S. Bratiicuk}, Usp. Mat. Nauk 34, No. 2(206), 189--190 (1979; Zbl 0407.60081)
Bratiicuk, N. S. Resolvent of a stopping process with independent increments. (English. Russian original) Zbl 0409.60072 Ukr. Math. J. 30, 71-74 (1978); translation from Ukr. Mat. Zh. 30, 96-100 (1978). MSC: 60J99 60J35 PDFBibTeX XMLCite \textit{N. S. Bratiicuk}, Ukr. Math. J. 30, 71--74 (1978; Zbl 0409.60072); translation from Ukr. Mat. Zh. 30, 96--100 (1978) Full Text: DOI
Bratiicuk, N. S. Über die Resolvente eines abbrechenden Prozesses mit unabhängigen Zuwächsen. (Russian) Zbl 0377.60071 Ukr. Mat. Zh. 30, 96-100 (1978). MSC: 60J35 PDFBibTeX XMLCite \textit{N. S. Bratiicuk}, Ukr. Mat. Zh. 30, 96--100 (1978; Zbl 0377.60071)
Bratijchuk, N. S.; Pirdzhanov, B. Potential and resolvent of a lattice random walk. (English) Zbl 0419.60069 Ukr. Math. J. 29, 581-585 (1977). MSC: 60G50 60J35 60J50 PDFBibTeX XMLCite \textit{N. S. Bratijchuk} and \textit{B. Pirdzhanov}, Ukr. Math. J. 29, 581--585 (1977; Zbl 0419.60069) Full Text: DOI
Bratiicuk, N. S.; Pirdzanov, B. Potential and resolvent of a lattice random walk. (Russian) Zbl 0382.60075 Ukr. Mat. Zh. 29, 784-790 (1977). MSC: 60G50 60J35 60J50 PDFBibTeX XMLCite \textit{N. S. Bratiicuk} and \textit{B. Pirdzanov}, Ukr. Mat. Zh. 29, 784--790 (1977; Zbl 0382.60075)