Velikii, A. P.; Turbin, A. F. A. I. Lobanov’s transformations. (English. Russian original) Zbl 1101.68558 Cybern. Syst. Anal. 40, No. 5, 764-771 (2004); translation from Kibern. Sist. Anal. 2004, No. 5, 160-168 (2004). MSC: 68P25 PDFBibTeX XMLCite \textit{A. P. Velikii} and \textit{A. F. Turbin}, Cybern. Syst. Anal. 40, No. 5, 764--771 (2004; Zbl 1101.68558); translation from Kibern. Sist. Anal. 2004, No. 5, 160--168 (2004) Full Text: DOI
Pogorui, A. A.; Turbin, A. F. Estimation of stationary efficiency of a production line with two unreliable aggregates. (English. Russian original) Zbl 1026.90505 Cybern. Syst. Anal. 38, No. 6, 823-829 (2002); translation from Kibern. Sist. Anal. 2002, No. 6, 35-42 (2002). MSC: 90B25 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{A. F. Turbin}, Cybern. Syst. Anal. 38, No. 6, 823--829 (2002; Zbl 1026.90505); translation from Kibern. Sist. Anal. 2002, No. 6, 35--42 (2002) Full Text: DOI
Turbin, A. F.; Plotkin, Ya. D. Bessel G-functions. I. (English. Russian original) Zbl 1004.33004 Ukr. Math. J. 53, No. 12, 2056-2071 (2001); translation from Ukr. Mat. Zh. 53, No. 12, 1686-1696 (2001). MSC: 33C10 PDFBibTeX XMLCite \textit{A. F. Turbin} and \textit{Ya. D. Plotkin}, Ukr. Mat. Zh. 53, No. 12, 1686--1696 (2001; Zbl 1004.33004); translation from Ukr. Mat. Zh. 53, No. 12, 1686--1696 (2001) Full Text: DOI
Turbin, A. F.; Samojlenko, I. V. Minimal symmetrization of random vectors in \(R^2\). (English. Ukrainian original) Zbl 0995.60009 Theory Probab. Math. Stat. 62, 165-170 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 151-156 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60B11 33C10 60E05 PDFBibTeX XMLCite \textit{A. F. Turbin} and \textit{I. V. Samojlenko}, Teor. Ĭmovirn. Mat. Stat. 62, 151--156 (2000; Zbl 0995.60009); translation from Teor. Jmovirn. Mat. Stat. 62, 151--156 (2000)
Turbin, A. F.; Samojlenko, I. V. A probability method for the solution of the telegraph equation with real-analytical initial conditions. (English. Russian original) Zbl 0967.35082 Ukr. Math. J. 52, No. 8, 1292-1299 (2000); translation from Ukr. Mat. Zh. 52, No. 8, 1127-1134 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 35L15 60J65 33C10 60J27 PDFBibTeX XMLCite \textit{A. F. Turbin} and \textit{I. V. Samojlenko}, Ukr. Mat. Zh. 52, No. 8, 1127--1134 (2000; Zbl 0967.35082); translation from Ukr. Mat. Zh. 52, No. 8, 1127--1134 (2000) Full Text: DOI
Plotkin, Ya. D.; Turbin, A. F. Asymptotic integration of a singularly perturbed quasilinear Cauchy problem in a Banach space. (English. Russian original) Zbl 0983.34052 Ukr. Math. J. 51, No. 8, 1214-1225 (1999); translation from Ukr. Mat. Zh. 51, No. 8, 1077-1086 (1999). MSC: 34G20 34A12 34E05 PDFBibTeX XMLCite \textit{Ya. D. Plotkin} and \textit{A. F. Turbin}, Ukr. Mat. Zh. 51, No. 8, 1077--1086 (1999; Zbl 0983.34052); translation from Ukr. Mat. Zh. 51, No. 8, 1077--1086 (1999)
Turbin, A. F. Inertness of the valent structure of a product of tensors. (Russian) Zbl 0931.15022 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 12, 45-48 (1998). MSC: 15A72 15A69 PDFBibTeX XMLCite \textit{A. F. Turbin}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 12, 45--48 (1998; Zbl 0931.15022)
Kolesnik, Alexander D.; Turbin, Anatoly F. The equation of symmetric Markovian random evolution in a plane. (English) Zbl 0934.60076 Stochastic Processes Appl. 75, No. 1, 67-87 (1998). Reviewer: Jan Seidler (Praha) MSC: 60J75 60J20 35L30 PDFBibTeX XMLCite \textit{A. D. Kolesnik} and \textit{A. F. Turbin}, Stochastic Processes Appl. 75, No. 1, 67--87 (1998; Zbl 0934.60076) Full Text: DOI
Turbin, A. F.; Trufanov, V. A. Properties of R-harmonic stochastic processes. (Russian. English summary) Zbl 0949.60051 Dal’nevost. Mat. Sb. 4, 34-38 (1997). Reviewer: J.Anděl (Praha) MSC: 60G10 PDFBibTeX XMLCite \textit{A. F. Turbin} and \textit{V. A. Trufanov}, Dal'nevost. Mat. Sb. 4, 34--38 (1997; Zbl 0949.60051)
Korolyuk, Vladimir S.; Turbin, Anatoly F. Mathematical foundations of the state lumping of large systems. Transl. from the Russ. and upd. by V. V. Zayats and Y. A. Atanov. (English) Zbl 0834.60001 Mathematics and its Applications (Dordrecht). 264. Dordrecht: Kluwer Academic Publishers. x, 278 p. (1993). Reviewer: G.Oprişan (Bucureşti) MSC: 60-02 60K10 60K15 60H25 47D07 62N05 60K25 93E99 68Q45 47D03 82B05 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{A. F. Turbin}, Mathematical foundations of the state lumping of large systems. Transl. from the Russ. and upd. by V. V. Zayats and Y. A. Atanov. Dordrecht: Kluwer Academic Publishers (1993; Zbl 0834.60001)
Turbin, A. F.; Pratsevityj, N. V. Fractal sets, functions, distributions. (Фрактальные множества, функции, распределения.) (Russian) Zbl 0861.28005 Kiev: Naukova Dumka. 208 p. (1992). Reviewer: Hermann Haase (Greifswald) (MR 96f:28010) MSC: 28A80 28-01 26A27 11K55 PDFBibTeX XMLCite \textit{A. F. Turbin} and \textit{N. V. Pratsevityj}, Фрактальные множества, функции, распределения (Russian). Kiev: Naukova Dumka (1992; Zbl 0861.28005)
Turbin, A. F.; Kolesnik, A. D. Hyperbolic equations of the random evolutions in \(\mathbb{R}^ m\). (English) Zbl 0817.60073 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. 397-402 (1992). MSC: 60H15 35L99 PDFBibTeX XMLCite \textit{A. F. Turbin} and \textit{A. D. Kolesnik}, in: Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 397--402 (1992; Zbl 0817.60073)
Korlat, A. N.; Kuznetsov, V. N.; Novikov, M. M.; Turbin, A. F. Semi-Markov models of renewal systems and queueing systems. (Polumarkovskie modeli vosstanavlivaemykh sistem i sistem massovogo obsluzhivaniya.) (Russian) Zbl 0778.60064 Kishinev: Shtiintsa. 276 p. (1991). Reviewer: B.P.Harlamov (St.Peterburg) MSC: 60K15 60-02 PDFBibTeX XMLCite \textit{A. N. Korlat} et al., Polumarkovskie modeli vosstanavlivaemykh sistem i sistem massovogo obsluzhivaniya (Russian). Kishinev: Shtiintsa (1991; Zbl 0778.60064)
Turbin, A. F. Asymptotically exact inequalities for truncated moments. (Russian) Zbl 0785.60013 Korolyuk, V. S. (ed.), Asymptotic and applied problems in the theory of random evolutions. Collection of scientific works. Kiev: Institut Matematiki AN USSR. 111-117 (1990). MSC: 60E99 60E15 PDFBibTeX XMLCite \textit{A. F. Turbin}, in: Asimptoticheskie i prikladnye zadachi teorii sluchajnykh ehvolyutsij. Sbornik nauchnykh trudov. Kiev: Institut Matematiki AN USSR. 111--117 (1990; Zbl 0785.60013)
Kolesnik, A. D.; Turbin, A. F. Symmetric random evolutions in \(R^ 2\). (Russian. English summary) Zbl 0697.60070 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 2, 10-11 (1990). MSC: 60H25 60K35 PDFBibTeX XMLCite \textit{A. D. Kolesnik} and \textit{A. F. Turbin}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 2, 10--11 (1990; Zbl 0697.60070)
Novikov, M. M.; Turbin, A. F. The potential operator of a Markov chain included in the process of Markov renewal describing a superposition of N independent renewal processes. (Russian) Zbl 0726.60068 Analytical methods for the investigation of the evolution of stochastic systems, Collect. Sci. Works, Kiev, 67-77 (1989). Reviewer: V.V.Kalashnikov (Moskva) MSC: 60J10 60K05 PDFBibTeX XML
Turbin, A. F.; Khanin, A. G. The convergence rate for the spline-estimate of density in the \(L_ 2\)- metric. (Russian) Zbl 0703.62044 Analytical methods for the investigation of the evolution of stochastic systems, Collect. Sci. Works, Kiev, 108-116 (1989). MSC: 62G05 PDFBibTeX XML
Turbin, A. F.; Khanin, A. G. Uniform strong consistency of interpolated and smoothing S-statistics. (English. Russian original) Zbl 0687.62029 Ukr. Math. J. 41, No. 2, 204-212 (1989); translation from Ukr. Mat. Zh. 41, No. 2, 228-236 (1989). MSC: 62G05 41A15 PDFBibTeX XMLCite \textit{A. F. Turbin} and \textit{A. G. Khanin}, Ukr. Math. J. 41, No. 2, 204--212 (1989; Zbl 0687.62029); translation from Ukr. Mat. Zh. 41, No. 2, 228--236 (1989) Full Text: DOI
Turbin, A. F.; Khanin, A. G. Modeling continuous random variables with the help of interpolational and smoothing splines. (Russian) Zbl 0686.62009 Analytical methods in probabilistic problems, Collect. Sci. Works, 91-95 (1988). MSC: 62E20 65D07 PDFBibTeX XML
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
Turbin, A. F.; Khanin, A. G. Asymptotic properties of S-statistics. (Russian. English summary) Zbl 0646.62035 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1987, No. 11, 14-17 (1987). MSC: 62G05 62E20 PDFBibTeX XMLCite \textit{A. F. Turbin} and \textit{A. G. Khanin}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1987, No. 11, 14--17 (1987; Zbl 0646.62035)
Novikov, M. M.; Turbin, A. F. Potential operators of Markov chains having a positive recurrence point. (Russian) Zbl 0626.60064 Application of analytical methods to probability problems, Collect. sci. Works, Kiev 1986, 88-99 (1986). Reviewer: M.Iosifescu MSC: 60J05 60K05 60K25 PDFBibTeX XML
Dobrovol’skij, V. V.; Turbin, A. F. Refinement of the central limit theorem for Markov processes which are homogeneous with respect to their second component. (Russian) Zbl 0625.60023 Application of analytical methods to probability problems, Collect. sci. Works, Kiev 1986, 37-43 (1986). Reviewer: K.Wickwire MSC: 60F05 60J10 PDFBibTeX XML
Korlat, A. N.; Turbin, A. F.; Tsaturyan, G. Zh. Formulas for the estimation of time of no-failure operation of renewed semi-Markov systems. (Russian) Zbl 0595.60086 Mat. Issled. 89, 43-53 (1986). Reviewer: B.P.Kharlamov MSC: 60K15 60K25 PDFBibTeX XMLCite \textit{A. N. Korlat} et al., Mat. Issled. 89, 43--53 (1986; Zbl 0595.60086) Full Text: EuDML
Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. A manual on probability theory and mathematical statistics. (Spravochnik po teorii veroyatnostej i matematicheskoj statistike). 2nd ed., rev. and compl. (Russian) Zbl 0608.60001 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 640 p. R. 2.50 (1985). MSC: 60-01 62-01 PDFBibTeX XML
Tomusyak, A. A.; Turbin, A. F. On models of failures of elements. (Russian) Zbl 0563.60084 Analytical methods in problems of probability theory, Collect. sci. Works, Kiev 1984, 130-145 (1984). Reviewer: A.V.Nagaev MSC: 60K10 PDFBibTeX XML
Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. Aide-mémoire de théorie des probabilités et de statistique mathématique. Traduit du russe par Djilali Embarek. (French) Zbl 0546.60002 Moscou: Editions Mir. 581 p. R. 3.70 (1983). Reviewer: S.Piccard MSC: 60-01 62-01 PDFBibTeX XML
Korolyuk, V. S.; Turbin, A. F. Limit theorems for Markov random evolutions in the scheme of asymptotic state lumping. (English) Zbl 0529.60065 Probability theory and mathematical statistics, Proc. 4th USSR - Jap. Symp., Tbilisi/USSR 1982, Lect. Notes Math. 1021, 327-332 (1983). MSC: 60H25 47D03 60J99 47A55 60F17 PDFBibTeX XML
Turbin, A. F.; Khokhel’, O. S. Limit theorems for dynamic systems with coefficients dependent on Markov processes. (Russian) Zbl 0512.60049 Applied problems of probability theory, Collect. sci. Works, Kiev 1982, 117-133 (1982). MSC: 60H15 60F99 60J99 PDFBibTeX XML
Korolyuk, V. S.; Turbin, A. F. Markov renewal processes in problems of systems reliability. (Protsessy markovskogo vosstanovleniya v zadachakh nadezhnosti sistem). (Russian) Zbl 0508.60073 Akademiya Nauk Ukrainskoj SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki. Kiev: ”Naukova Dumka”. 236 p. R. 1.70 (1982). MSC: 60K20 60K15 60-02 60K10 PDFBibTeX XML
Turbin, A. F. Abstract potential operators of ergodic Markov processes. (Russian) Zbl 0489.60079 Teor. Sluchajnykh Protsessov 9, 101-109 (1981). MSC: 60J45 PDFBibTeX XMLCite \textit{A. F. Turbin}, Teor. Sluch. Protsess. 9, 101--109 (1981; Zbl 0489.60079)
Turbin, A. F.; Levinskij, B. G. A method for the asymptotic analysis of semi-Markov processes in the scheme of phase enlargement. (Russian) Zbl 0479.60088 Analytical methods of investigation in probability theory, Collect. sci. Works, Kiev 1981, 133-147 (1981). MSC: 60K15 PDFBibTeX XML
Korolyuk, V. S.; Penev, I. P.; Turbin, A. F. Asymptotic expansion for the distribution of absorption time of a weakly nonhomogeneous Markov chain. (Russian) Zbl 0478.60079 Analytical methods of investigation in probability theory, Collect. sci. Works, Kiev 1981, 97-105 (1981). MSC: 60J27 PDFBibTeX XML
Zbyrko, M. D.; Kuznetsov, V. N.; Turbin, A. F. Semi-Markov model for analyzing reliability of system with restorable protection. (English. Russian original) Zbl 0457.90036 Autom. Remote Control 41, 879-887 (1980); translation from Avtom. Telemekh. 1980, No. 6, 175-185 (1980). MSC: 90B25 60K15 60K20 PDFBibTeX XMLCite \textit{M. D. Zbyrko} et al., Autom. Remote Control 41, 879--887 (1980; Zbl 0457.90036); translation from Avtom. Telemekh. 1980, No. 6, 175--185 (1980)
Plotkin, Ya. D.; Turbin, A. F. Decompositions of singularity perturbed analytical semi-groups. (Russian) Zbl 0473.47025 Asymptotic methods in the theory of nonlinear oscillations, Works All- Union Conf., Katsiveli 1977, 156-166 (1979). MSC: 47D03 47A55 PDFBibTeX XML
Korolyuk, V. S.; Tomusyak, A. A.; Turbin, A. F. An algorithm for the enlargement of Markov chains by means of reduction. (Russian) Zbl 0418.60072 Analytical Methods in probability theory, Collect. Sci. Works, Kiev 1979, 62-69 (1979). MSC: 60J10 PDFBibTeX XML
Korolyuk, V. S.; Turbin, A. F.; Tomusyak, A. A. The time of duration of a semi-Markov-process in a splittable set of states. (Russian) Zbl 0416.60090 Analytical Methods in Probability Theory, Collect. Sci. Works, Kiev 1979, 69-79 (1979). MSC: 60K15 60F99 PDFBibTeX XML
Korolyuk, V. S.; Turbin, A. F. Mathematical foundations of phase extension of complex systems. (Математические основы фазового укрупнения сложных систем.) (Russian) Zbl 0411.60003 Akademiya Nauk Ukrainskoi SSR, Ordena Trudovogo Krasnogo Znameni Institut Matematiki. Kiev: Izdatel’stvo ”Naukova Dumka”. 219 p. R. 2.20 (1978). Reviewer: Jewgeni H. Dshalalow MSC: 60-02 60J99 60K10 60K15 60H25 68Q45 47D07 47D03 62N05 60K25 82B10 93E99 PDFBibTeX XML
Korolyuk, V. S.; Turbin, A. F. The method of inversion of the spectrum perturbed linear operators and some of its applications. (Russian) Zbl 0443.47013 Probl. asympt. Theory nonlin. Oscill., Acad. Sci. Ukr. SSR, Inst. Math., 107-114 (1977). MSC: 47A55 47A50 47D03 47E05 60J25 PDFBibTeX XML
Turbin, A. F. A generalization of a theorem of K. Yosida concerning an abstract potential in a Hilbert space. (English) Zbl 0419.31007 Ukr. Math. J. 29, 535-539 (1977). MSC: 31C15 31B15 35C15 PDFBibTeX XMLCite \textit{A. F. Turbin}, Ukr. Math. J. 29, 535--539 (1977; Zbl 0419.31007) Full Text: DOI
Turbin, A. F. Eine Verallgemeinerung eines Satzes von K. Yosida über ein abstraktes Potential im Hilbertraum. (Russian) Zbl 0388.31006 Ukr. Mat. Zh. 29, 698-702 (1977). MSC: 31C15 31B15 35C15 PDFBibTeX XMLCite \textit{A. F. Turbin}, Ukr. Mat. Zh. 29, 698--702 (1977; Zbl 0388.31006)
Polishchuk, L. I.; Turbin, A. F. Asymptotic expansions for some characteristics of semi-Markov processes. (English) Zbl 0365.60099 Theor. Probab. math. Statist. 8(1973, 1975), 121-126 (1977). MSC: 60K15 47A55 PDFBibTeX XML
Korolyuk, V. S.; Turbin, A. F. Asymptotic enlarging of semi-Markov processes with an arbitrary state space. (English) Zbl 0386.60064 Proc. 3rd Japan-USSR Symp. Probab. Theory, Taschkent 1975, Lect. Notes Math. 550, 297-315 (1976). MSC: 60K15 PDFBibTeX XML
Korolyuk, V. S.; Turbin, A. F. Semi-Markov processes and their applications. (Polumarkovskie processy i ih prilozenija.). (Russian) Zbl 0371.60106 Kiev: Izdatel’stvo ”Naukova Dumka”. 181 p. R. 1.12 (1976). MSC: 60K15 60K20 60K25 PDFBibTeX XML
Turbin, A. F. On the asymptotic behavior of the sojourn time of a semi-Markov process in a reducible subset of states. The linear case. (English) Zbl 0348.60122 Theor. Probab. math. Statist. 4 (1971, 1974), 167-182 (1976). MSC: 60K15 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
Turbin, A. F. An application of the perturbation theory of linear operators to the solution of some problems connected with Markov chains and semi-Markov processes. (English) Zbl 0339.47011 Theor. Probab. Math. Statist. 6(1972, 1975), 119-129 (1976). MSC: 47A55 60K10 60K15 60J10 PDFBibTeX XML
Korolyuk, V. S.; Brodi, S. M.; Turbin, A. F. Semi-Markov processes and their applications. (English) Zbl 0338.60061 J. Sov. Math. 4(1975), 244-280 (1976). MSC: 60K15 60-02 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., J. Sov. Math. 4, 244--280 (1976; Zbl 0338.60061) Full Text: DOI
Plotkin, Ja. D.; Turbin, A. F. The inversion of normally solvable linear operators perturbed on the spectrum. (English) Zbl 0322.47003 Ukr. Math. J. 27(1975), 385-393 (1976). MSC: 47A10 47A50 47A55 PDFBibTeX XMLCite \textit{Ja. D. Plotkin} and \textit{A. F. Turbin}, Ukr. Math. J. 27, 385--393 (1976; Zbl 0322.47003) Full Text: DOI
Korolyuk, V. S.; Turbin, A. F. The method of perturbation on the spectrum of linear operators in asymptotic problems of probability theory. (English) Zbl 0348.60100 Limit Theorems Probab. Theor., Keszthely 1974, Colloq. Math. Soc. Janos Bolyai 11, 167-182 (1975). MSC: 60J25 60-02 60K15 47A55 PDFBibTeX XML
Turbin, A. F. Formulas for evaluating semi-inverse and pseudo-inverse of a matrix. (English) Zbl 0324.15003 U. S. S. R. Comput. Math. Math. Phys. 14(1974), No. 3, 230-235 (1975). MSC: 15A09 PDFBibTeX XMLCite \textit{A. F. Turbin}, U.S.S.R. Comput. Math. Math. Phys. 14, No. 3, 230--235 (1975; Zbl 0324.15003) Full Text: DOI
Korolyuk, V. S.; Turbin, A. F. Perturbation of operators on the spectrum and asymptotical enlargement of Markov chains. (Ukrainian) Zbl 0319.60043 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1975, 402-405 (1975). MSC: 60G50 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{A. F. Turbin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1975, 402--405 (1975; Zbl 0319.60043)
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)
Plotkin, Ja. D.; Turbin, A. F. Inversion of normally solvable linear operators disturbed in the spectrum. (Russian) Zbl 0316.47004 Ukr. Mat. Zh. 27, 477-486 (1975). MSC: 47A10 47A50 47A55 PDFBibTeX XMLCite \textit{Ja. D. Plotkin} and \textit{A. F. Turbin}, Ukr. Mat. Zh. 27, 477--486 (1975; Zbl 0316.47004) Full Text: DOI
Turbin, A. F. Formulae for semi-inverse and pseudo-inverse matrices. (Russian) Zbl 0311.15003 Zh. Vychisl. Mat. Mat. Fiz. 14, 772-776 (1974). MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{A. F. Turbin}, Zh. Vychisl. Mat. Mat. Fiz. 14, 772--776 (1974; Zbl 0311.15003)
Korolyuk, V. S.; Brodi, S. M.; Turbin, A. F. Semi-Markovsche Prozesse und ihre Anwendung. (Russian) Zbl 0298.60054 Itogi Nauki Tehn.; Ser. Teor. Verojatn., mat. Statist., teor. Kibernet. 11, 47-97 (1974). MSC: 60K15 60-02 PDFBibTeX XML
Korolyuk, V. S.; Turbin, A. F. On the asymptotic behavior of the occupation time of a semi-Markov process in a reducible subset of states. (English) Zbl 0293.60085 Theor. Probab. math. Statist. 2(1970), 133-143 (1974). MSC: 60K15 PDFBibTeX XML
Turbin, A. F.; Polishchuk, L. I. A certain case of the convergence of a semi-Markov process depending on a small parameter to a nonstationary Markov chain with continuous time. (Über einen Fall der Konvergenz eines semi-markovschen Prozesses, der von einem kleinen Parameter abhängt, gegen einen Nichtstandard-Markov- Prozeß mit stetiger Zeit.) (Russian) Zbl 0291.60045 Teor. Sluch. Protsess. 2, 104-109 (1974). Reviewer: A. F. Turbin MSC: 60K15 60F05 60J25 PDFBibTeX XML
Polishchuk, L. I.; Turbin, A. F. Asymptotische Entwicklungen für gewisse Charakteristiken halbmarkovscher Prozesse. (Russian) Zbl 0333.60086 Teor. Veroyatn. Mat. Stat. 8, 122-127 (1973). MSC: 60K15 PDFBibTeX XML
Korolyuk, V. S.; Penev, I. P.; Turbin, A. F. Eine asymptotische Entwicklung für die Verteilung des Zeitverlaufs einer Markovschen Kette. (Russian) Zbl 0277.60056 Kibernetika, Kiev 1973, No. 4, 133-135 (1973). MSC: 60J10 34E05 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Kibernetika 1973, No. 4, 133--135 (1973; Zbl 0277.60056)
Korolyuk, V. S.; Turbin, A. F. On one method of proving limit theorems for certain functionals of semi- Markov processes. (English) Zbl 0263.60043 Ukr. Math. J. 24(1972), 191-196 (1973). MSC: 60K15 60F99 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{A. F. Turbin}, Ukr. Math. J. 24, 191--196 (1973; Zbl 0263.60043) Full Text: DOI
Turbin, A. F. Zur Lösung einiger Aufgaben über die Störung für den Fall von Matrizen. (Ukrainian) Zbl 0284.15012 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 539-541 (1972). MSC: 15A24 15A09 PDFBibTeX XMLCite \textit{A. F. Turbin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 539--541 (1972; Zbl 0284.15012)
Korolyuk, V. S.; Turbin, A. F. Über eine Methode zum Beweis von Grenzwertsätzen für gewisse Funktionale von semi-Markovschen Prozessen. (Russian) Zbl 0246.60063 Ukr. Mat. Zh. 24, 234-240 (1972). MSC: 60K15 60F99 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{A. F. Turbin}, Ukr. Mat. Zh. 24, 234--240 (1972; Zbl 0246.60063)
Turbin, A. F. Anwendung der Theorie der Störung linearer Operatoren auf die Lösung einiger Probleme, die mit Markovschen Ketten und halbmarkovschen Prozessen zusammenhängen. (Russian) Zbl 0246.47030 Teor. Veroyatn. Mat. Stat. 6, 118-128 (1972). MSC: 47A55 60K15 60J10 PDFBibTeX XML
Korolyuk, V. S.; Penev, I. P.; Turbin, A. F. The asymptotic behaviour of the distribution of absorption time of a Markov chain. (Russian) Zbl 0235.60062 Kibernetika, Kiev 1972, No. 2, 20-22 (1972). MSC: 60J27 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Kibernetika 1972, No. 2, 20--22 (1972; Zbl 0235.60062)
Plotkin, Ya. D.; Turbin, A. F. Inversion of linear operators perturbed on the spectrum. (English) Zbl 0226.47007 Ukr. Math. J. 23(1971), 143-150 (1972). MSC: 47A10 47A50 47A55 PDFBibTeX XMLCite \textit{Ya. D. Plotkin} and \textit{A. F. Turbin}, Ukr. Math. J. 23, 143--150 (1972; Zbl 0226.47007) Full Text: DOI
Turbin, A. F. Über das asymptotische Verhalten der Verweilzeit eines halbmarkovschen Prozesses in einer reduziblen Untermenge von Zuständen. Der lineare Fall. (Russian) Zbl 0324.60071 Teor. Veroyatn. Mat. Stat. 4, 179-194 (1971). MSC: 60K15 PDFBibTeX XML
Plotkin, Ya. D.; Turbin, A. F. Die Umkehrung der Störungen auf dem Spektrum linearer Operatoren. (Russian) Zbl 0213.40703 Ukr. Mat. Zh. 23, 168-176 (1971). MSC: 47A10 47A50 47A55 PDFBibTeX XMLCite \textit{Ya. D. Plotkin} and \textit{A. F. Turbin}, Ukr. Mat. Zh. 23, 168--176 (1971; Zbl 0213.40703)
Korolyuk, V. S.; Turbin, A. F. On the asymptotic behaviour of SMP occupation times of the reducible set of states. (Russian) Zbl 0257.60031 Teor. Veroyatn. Mat. Stat. 2, 133-143 (1970). MSC: 60K15 PDFBibTeX XML