Edit Profile Kartashov, Mykola Valentynovych Compute Distance To: Compute Author ID: kartashov.mykola-v Published as: Kartashov, M.; Kartashov, M. V.; Kartashov, Mykola V.; Kartashov, N.; Kartashov, N. V.; Kartashov, Nikolai; Kartasov, N. V. External Links: MGP · Math-Net.Ru Documents Indexed: 76 Publications since 1975, including 3 Books Biographic References: 1 Publication all top 5 Co-Authors 56 single-authored 8 Golomozyĭ, V. V. 5 Mishura, Yuliya Stepanivna 4 Moklyachuk, Mykhaĭlo Pavlovych 3 Gorodnii, M. F. 3 Korolyuk, Volodymyr Semenovych 3 Kozachenko, Yuriĭ Vasyl’ovych 3 Maĭboroda, Rostyslav Yevgenovych 2 Ajssani, Dzh. 2 Perestyuk, Mykola Oleksiĭovych 2 Radchenko, Vadym Mykolaĭovych 2 Vyshenskij, V. A. 2 Yadrenko, Mikhaĭlo Iosipovich 2 Zakuzylo, O. K. 1 Anisimov, Vladimir Vladislavovič 1 Bagro, G. S. 1 Borysenko, Oleksandr Danylovych 1 Golomoziy, Vitalij 1 Gusak, Dmytro V. 1 Kartashov, Yu. M. 1 Kartashov, Yurij 1 Kovalenko, Igor Mykolaĭovych 1 Kulinich, Grygoriĭ L. 1 Kurchenko, Oleksandr O. 1 Lapida, T. M. 1 Leonenko, M. M. 1 Meleshko, V’yacheslav Volodymyrovych 1 Mikhaĭlovskiĭ, V. I. 1 Moskal’tsova, N. V. 1 Olenko, Andriy Yakovych 1 Ponomarenko, O. Ī. 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Samoĭlenko, Valeriĭ Grygorovych 1 Stroev, O. M. 1 Vasilik, O. I. 1 Yamnenko, Rostyslav E. 1 Zakusilo, Oleg K. all top 5 Serials 26 Theory of Probability and Mathematical Statistics 13 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 5 Theory of Probability and its Applications 5 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 3 Teoriya Veroyatnosteĭ i eë Primeneniya 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Journal of Soviet Mathematics 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Journal of Applied Mathematics and Stochastic Analysis 1 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 1 U Sviti Matematyky all top 5 Fields 69 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 4 Operations research, mathematical programming (90-XX) 3 Approximations and expansions (41-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 36 Publications have been cited 235 times in 132 Documents Cited by ▼ Year ▼ Strong stable Markov chains. Zbl 0874.60082Kartashov, N. V. 68 1996 Ergodicity and stability of Markov chains with respect to operator topology in the space of transition kernels. Zbl 0528.60067Ajssani, Dzh.; Kartashov, N. V. 19 1983 Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. I. Zbl 0657.60088Kartashov, N. V. 18 1986 Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space. Zbl 0586.60058Kartashov, N. V. 16 1985 Boundedness, limits, and stability of solutions of a perturbation of a nonhomogeneous renewal equation on a semiaxis. Zbl 1224.60190Kartashov, M. V. 11 2009 Strongly stable Markov chains. Zbl 0594.60069Kartashov, N. V. 11 1986 Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. II. Zbl 0619.60066Kartashov, N. V. 10 1986 On the integrability of the coupling moment for time-inhomogeneous Markov chains. Zbl 1322.60147Golomoziy, V. V.; Kartashov, N. V. 8 2014 Maximal coupling procedure and stability of discrete Markov chains. II. Zbl 1322.60150Kartashov, M. V.; Golomozyĭ, V. V. 7 2013 The impact of stress factors on the price of widow’s pensions. Zbl 1325.91029Kartashov, Yurij; Golomoziy, Vitalij; Kartashov, Nikolai 5 2014 Determination of the spectral index of ergodicity of a birth-and-death process. Zbl 0973.60091Kartashov, N. V. 5 2000 Impact of the stress factor on the price of widow’s pensions. Proofs. Zbl 1348.60111Golomozyĭ, V. V.; Kartashov, M. V.; Kartashov, Yu. M. 4 2016 Maximal coupling procedure and stability of discrete Markov chains. I. Zbl 1322.60149Kartashov, M. V.; Golomozyĭ, V. V. 4 2013 Inequalities in stability and ergodicity theorems for Markov chains with a general state space. I. Zbl 0584.60077Kartashov, N. V. 4 1985 A test of uniform ergodicity and strong stability for Markov chains with general phase space. Zbl 0562.60070Kartashov, N. V. 4 1984 Inhomogeneous perturbations of a renewal equation and the Cramér-Lundberg theorem for a risk process with variable premium rates. Zbl 1224.91065Kartashov, M. V. 3 2008 Lundberg approximation for the risk function in an almost homogeneous environment. Zbl 1116.60039Kartashov, M. V.; Stroev, O. M. 3 2005 The calculation and estimation of the exponential ergodicity exponent for general Markov processes and chains with recurrent kernels. Zbl 0945.60061Kartashov, M. V. 3 1996 The equivalence of the uniform renewal theorems and their criteria. Zbl 0499.60091Kartashov, N. V. 3 1982 Strongly stable Markov chains. Zbl 0569.60065Kartashov, N. V. 3 1981 On explicit estimates of the rate of convergence in the renewal theorem. Zbl 0433.60084Kartashov, N. V. 3 1979 Maximal coupling and stability of discrete non-homogeneous Markov chains. Zbl 1333.60160Golomozyĭ, V. V.; Kartashov, M. V. 2 2015 The mean coupling time for independent discrete renewal processes. Zbl 1284.60146Kartashov, M. V.; Golomozyĭ, V. V. 2 2012 Stability of transient quasi-homogeneous Markov semigroups and estimate of ruin probability. Zbl 1164.60405Kartashov, M. V. 2 2006 The ergodicity and stability of quasi-homogeneous Markov semigroups of operators. Zbl 1124.60060Kartashov, M. V. 2 2005 On ruin probability for a risk process with bounded reserves. Zbl 0955.60072Kartashov, N. V. 2 1999 A uniform asymptotic renewal theorem. Zbl 0462.60083Kartashov, N. V. 2 1981 Quantitative estimates of ergodicity in the GI/GI/1 system. Zbl 0486.60090Kartashov, N. V. 2 1980 On the explicit estimates for the power rate of convergence in the renewal theorem. Zbl 0408.60089Kartashov, N. V. 2 1979 Maximal coupling and \(V\)-stability of discrete nonhomogeneous Markov chains. Zbl 1357.60074Golomozyĭ, V. V.; Kartashov, M. V. 1 2016 Quantitative and qualitative limits for exponential asymptotics of hitting times for birth-and-death chains in a scheme of series. Zbl 1326.60123Kartashov, N. V. 1 2014 Calculation of the exponential ergodicity exponent for birth-death processes. Zbl 0948.60079Kartashov, M. V. 1 1997 Finite dimensional interpolation of a random field on the plane. Zbl 0939.60041Kartashov, M. V. 1 1994 Asymptotic expansions and inequalities in stability theorems for general Markov chains with relatively bounded perturbations. Zbl 0638.60076Kartashov, N. V. 1 1988 Asymptotic expansions and inequalities in theorems of stability of general Markov chains in the case of relatively bounded perturbations. Zbl 0616.60067Kartashov, N. V. 1 1985 Equivalence of uniform renewal theorems and criteria for their validity. Zbl 0521.60088Kartashov, N. V. 1 1983 Impact of the stress factor on the price of widow’s pensions. Proofs. Zbl 1348.60111Golomozyĭ, V. V.; Kartashov, M. V.; Kartashov, Yu. M. 4 2016 Maximal coupling and \(V\)-stability of discrete nonhomogeneous Markov chains. Zbl 1357.60074Golomozyĭ, V. V.; Kartashov, M. V. 1 2016 Maximal coupling and stability of discrete non-homogeneous Markov chains. Zbl 1333.60160Golomozyĭ, V. V.; Kartashov, M. V. 2 2015 On the integrability of the coupling moment for time-inhomogeneous Markov chains. Zbl 1322.60147Golomoziy, V. V.; Kartashov, N. V. 8 2014 The impact of stress factors on the price of widow’s pensions. Zbl 1325.91029Kartashov, Yurij; Golomoziy, Vitalij; Kartashov, Nikolai 5 2014 Quantitative and qualitative limits for exponential asymptotics of hitting times for birth-and-death chains in a scheme of series. Zbl 1326.60123Kartashov, N. V. 1 2014 Maximal coupling procedure and stability of discrete Markov chains. II. Zbl 1322.60150Kartashov, M. V.; Golomozyĭ, V. V. 7 2013 Maximal coupling procedure and stability of discrete Markov chains. I. Zbl 1322.60149Kartashov, M. V.; Golomozyĭ, V. V. 4 2013 The mean coupling time for independent discrete renewal processes. Zbl 1284.60146Kartashov, M. V.; Golomozyĭ, V. V. 2 2012 Boundedness, limits, and stability of solutions of a perturbation of a nonhomogeneous renewal equation on a semiaxis. Zbl 1224.60190Kartashov, M. V. 11 2009 Inhomogeneous perturbations of a renewal equation and the Cramér-Lundberg theorem for a risk process with variable premium rates. Zbl 1224.91065Kartashov, M. V. 3 2008 Stability of transient quasi-homogeneous Markov semigroups and estimate of ruin probability. Zbl 1164.60405Kartashov, M. V. 2 2006 Lundberg approximation for the risk function in an almost homogeneous environment. Zbl 1116.60039Kartashov, M. V.; Stroev, O. M. 3 2005 The ergodicity and stability of quasi-homogeneous Markov semigroups of operators. Zbl 1124.60060Kartashov, M. V. 2 2005 Determination of the spectral index of ergodicity of a birth-and-death process. Zbl 0973.60091Kartashov, N. V. 5 2000 On ruin probability for a risk process with bounded reserves. Zbl 0955.60072Kartashov, N. V. 2 1999 Calculation of the exponential ergodicity exponent for birth-death processes. Zbl 0948.60079Kartashov, M. V. 1 1997 Strong stable Markov chains. Zbl 0874.60082Kartashov, N. V. 68 1996 The calculation and estimation of the exponential ergodicity exponent for general Markov processes and chains with recurrent kernels. Zbl 0945.60061Kartashov, M. V. 3 1996 Finite dimensional interpolation of a random field on the plane. Zbl 0939.60041Kartashov, M. V. 1 1994 Asymptotic expansions and inequalities in stability theorems for general Markov chains with relatively bounded perturbations. Zbl 0638.60076Kartashov, N. V. 1 1988 Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. I. Zbl 0657.60088Kartashov, N. V. 18 1986 Strongly stable Markov chains. Zbl 0594.60069Kartashov, N. V. 11 1986 Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. II. Zbl 0619.60066Kartashov, N. V. 10 1986 Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space. Zbl 0586.60058Kartashov, N. V. 16 1985 Inequalities in stability and ergodicity theorems for Markov chains with a general state space. I. Zbl 0584.60077Kartashov, N. V. 4 1985 Asymptotic expansions and inequalities in theorems of stability of general Markov chains in the case of relatively bounded perturbations. Zbl 0616.60067Kartashov, N. V. 1 1985 A test of uniform ergodicity and strong stability for Markov chains with general phase space. Zbl 0562.60070Kartashov, N. V. 4 1984 Ergodicity and stability of Markov chains with respect to operator topology in the space of transition kernels. Zbl 0528.60067Ajssani, Dzh.; Kartashov, N. V. 19 1983 Equivalence of uniform renewal theorems and criteria for their validity. Zbl 0521.60088Kartashov, N. V. 1 1983 The equivalence of the uniform renewal theorems and their criteria. Zbl 0499.60091Kartashov, N. V. 3 1982 Strongly stable Markov chains. Zbl 0569.60065Kartashov, N. V. 3 1981 A uniform asymptotic renewal theorem. Zbl 0462.60083Kartashov, N. V. 2 1981 Quantitative estimates of ergodicity in the GI/GI/1 system. Zbl 0486.60090Kartashov, N. V. 2 1980 On explicit estimates of the rate of convergence in the renewal theorem. Zbl 0433.60084Kartashov, N. V. 3 1979 On the explicit estimates for the power rate of convergence in the renewal theorem. Zbl 0408.60089Kartashov, N. V. 2 1979 all cited Publications top 5 cited Publications all top 5 Cited by 121 Authors 24 Aissani, Djamil 15 Kartashov, Mykola Valentynovych 12 Golomozyĭ, V. V. 12 Zeifman, Alexander Izrailevich 6 Bareche, Aïcha 6 Silvestrov, Dmitrii 5 Korolev, Viktor Yur’evich 4 Abbas, Karim 4 Gordienko, Evgueni I. 4 Heidergott, Bernd F. 4 Mukhamedov, Farruh Maksutovich 4 Rabta, Boualem 4 Wefelmeyer, Wolfgang 3 Erkurşun Özcan, Nazife 3 Golomoziy, Vitaliy 3 Hordijk, Arie 3 Meyn, Sean P. 3 Mitrophanov, Alexander Yu. 3 Montes-de-Oca, Raúl 3 Müller, Ursula U. 3 Petersson, Mikael 3 Silvestrov, Sergei D. 2 Benouaret, Zina 2 Berkhout, Joost 2 Cherfaoui, Mouloud 2 Fuh, Cheng-Der 2 Greenwood, Priscilla E. 2 Hamadouche, Naima 2 Hernández-Lerma, Onésimo 2 Issaadi, Badredine 2 Kartashov, G. D. 2 Kiseleva, K. M. 2 Kiseleva, Ksenia 2 Kontoyiannis, Ioannis 2 Korotysheva, Anna 2 Lekadir, Ouiza 2 Liu, Yuanyuan 2 Mouhoubi, Zahir 2 Popov, Gennadiĭ Yakovlevich 2 Rahmoune, Fazia 2 Satin, Ya. A. 2 Satin, Yacov 2 Schick, Anton 1 Adel-Aissanou, Karima 1 Adjabi, Smail 1 Alimov, D. T. 1 Alquier, Pierre 1 Benaouicha, Mustapha 1 Berdjoudj, Louiza 1 Berezofskij, A. A. 1 Boland, Aidan 1 Borodovsky, Mark 1 Borovkov, Aleksandr Alekseevich 1 Bouallouche-Medjkoune, Louiza 1 Bulavatskyĭ, Volodymyr M. 1 Cavazos-Cadena, Rolando 1 Chi, Zhiyi 1 Duncan, Tyrone E. 1 Enikeeva, Farida N. 1 Everitt, Richard Geoffrey 1 Fastykovskij, G. A. 1 Ferré, Déborah 1 Friel, Nial 1 Golomoziy, Vitalij 1 Gyllenberg, Mats 1 Hervé, Loïc 1 Hou, Zhenting 1 Isaadi, Badredine 1 Jaśkiewicz, Anna 1 Jiang, Shuxia 1 Kalashnikov, Vladimir Vyacheslavovich 1 Kartashov, Yu. M. 1 Kartashov, Yurij 1 Kazenin, Dmitry A. 1 Kerefov, A. A. 1 Klokov, Sergey A. 1 Kovalenko, Igor Mykolaĭovych 1 Kozarovitsky, Eugene 1 Kushnir, A. O. 1 Leahu, Haralambie 1 Ledoux, James 1 Li, Wendi 1 Limnios, Nikolaos 1 Liu, Yuanyuan 1 Liu, Yuanyuan 1 Lomsadze, Alexandre 1 Lorek, Paweł 1 Mendoza-Pérez, Armando Felipe 1 Minjárez-Sosa, Adolfo 1 Nowak, Andrzej S. 1 Panfilova, T. L. 1 Pasik-Duncan, Bozenna 1 Penev, Spiridon I. 1 Pollett, Philip K. 1 Razumchik, Rostislav V. 1 Roberts, Gareth O. 1 Rosenthal, Jeffrey S. 1 Rudolf, Daniel 1 Rusaityte, Deimante 1 Salem, Francisco S. ...and 21 more Authors all top 5 Cited in 51 Serials 20 Theory of Probability and Mathematical Statistics 8 Journal of Mathematical Sciences (New York) 7 Journal of Applied Probability 6 Statistics & Probability Letters 6 Methodology and Computing in Applied Probability 5 Advances in Applied Probability 4 The Annals of Applied Probability 4 Linear Algebra and its Applications 4 Mathematical Methods of Operations Research 3 Stochastic Processes and their Applications 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Ukrainian Mathematical Journal 2 Prikladnaya Matematika i Mekhanika 2 Journal of Soviet Mathematics 2 Kybernetika 2 Queueing Systems 2 Communications in Statistics. Theory and Methods 2 Cybernetics and Systems Analysis 2 Random Operators and Stochastic Equations 2 Bernoulli 2 Scandinavian Actuarial Journal 2 Modern Stochastics. Theory and Applications 1 Journal of Applied Mathematics and Mechanics 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Quaestiones Mathematicae 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Siberian Mathematical Journal 1 Systems & Control Letters 1 Insurance Mathematics & Economics 1 Operations Research Letters 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Annals of Operations Research 1 Discrete Event Dynamic Systems 1 Applied Mathematical Modelling 1 Mathematical Problems in Engineering 1 International Journal of Applied Mathematics and Computer Science 1 RAIRO. Operations Research 1 Stochastic Models 1 ASTIN Bulletin 1 Mediterranean Journal of Mathematics 1 Stochastics 1 Science China. Mathematics 1 Statistics and Computing all top 5 Cited in 18 Fields 99 Probability theory and stochastic processes (60-XX) 25 Operations research, mathematical programming (90-XX) 17 Statistics (62-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Numerical analysis (65-XX) 9 Systems theory; control (93-XX) 5 Operator theory (47-XX) 4 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year