Edit Profile (opens in new tab) Kartashov, Mykola Valentynovych (b. 1952 d. 2018) Co-Author Distance Author ID: kartashov.mykola-v Published as: Kartashov, N. V.; Kartashov, M. V.; Kartasov, N. V.; Kartashov, Mykola V.; Kartashov, Nikolai; Kartashov, M.; Kartashov, N. more...less External Links: MGP · Math-Net.Ru Documents Indexed: 76 Publications since 1975, including 3 Books Biographic References: 1 Publication Co-Authors: 35 Co-Authors with 20 Joint Publications 1,078 Co-Co-Authors all top 5 Co-Authors 56 single-authored 9 Golomoziy, Vitaliy 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, Mykhaĭlo Ĭosypovych 2 Zakuzylo, O. K. 1 Anisimov, Vladimir Vladislavovič 1 Bagro, G. S. 1 Borysenko, Oleksandr Danylovych 1 Gusak, Dmytro V. 1 Kartashov, Yu. M. 1 Kartashov, Yurij 1 Kovalenko, Igor Mykolaĭovych 1 Kulinich, Grygoriĭ Logvynovych 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 Zakusylo, 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 Open 41 Publications have been cited 320 times in 156 Documents Cited by ▼ Year ▼ Strong stable Markov chains. Zbl 0874.60082 Kartashov, N. V. 81 1996 Ergodicity and stability of Markov chains with respect to operator topology in the space of transition kernels. Zbl 0528.60067 Ajssani, Dzh.; Kartashov, N. V. 23 1983 Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. I. Zbl 0657.60088 Kartashov, N. V. 22 1986 Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space. Zbl 0586.60058 Kartashov, N. V. 20 1985 Maximal coupling procedure and stability of discrete Markov chains. II. Zbl 1322.60150 Kartashov, M. V.; Golomozyĭ, V. V. 16 2013 Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. II. Zbl 0619.60066 Kartashov, N. V. 15 1986 Strongly stable Markov chains. Zbl 0594.60069 Kartashov, N. V. 14 1986 Maximal coupling procedure and stability of discrete Markov chains. I. Zbl 1322.60149 Kartashov, M. V.; Golomozyĭ, V. V. 13 2013 On the integrability of the coupling moment for time-inhomogeneous Markov chains. Zbl 1322.60147 Golomoziy, V. V.; Kartashov, N. V. 13 2014 Boundedness, limits, and stability of solutions of a perturbation of a nonhomogeneous renewal equation on a semiaxis. Zbl 1224.60190 Kartashov, M. V. 11 2009 The impact of stress factors on the price of widow’s pensions. Zbl 1325.91029 Kartashov, Yurij; Golomoziy, Vitalij; Kartashov, Nikolai 9 2014 Maximal coupling and stability of discrete non-homogeneous Markov chains. Zbl 1333.60160 Golomozyĭ, V. V.; Kartashov, M. V. 8 2015 The mean coupling time for independent discrete renewal processes. Zbl 1284.60146 Kartashov, M. V.; Golomozyĭ, V. V. 7 2012 A test of uniform ergodicity and strong stability for Markov chains with general phase space. Zbl 0562.60070 Kartashov, N. V. 5 1984 Determination of the spectral index of ergodicity of a birth-and-death process. Zbl 0973.60091 Kartashov, N. V. 5 2000 Impact of the stress factor on the price of widow’s pensions. Proofs. Zbl 1348.60111 Golomozyĭ, V. V.; Kartashov, M. V.; Kartashov, Yu. M. 5 2016 Inequalities in stability and ergodicity theorems for Markov chains with a general state space. I. Zbl 0584.60077 Kartashov, N. V. 4 1985 Strongly stable Markov chains. Zbl 0569.60065 Kartashov, N. V. 4 1981 Lundberg approximation for the risk function in an almost homogeneous environment. Zbl 1116.60039 Kartashov, M. V.; Stroev, O. M. 4 2005 Inhomogeneous perturbations of a renewal equation and the Cramér-Lundberg theorem for a risk process with variable premium rates. Zbl 1224.91065 Kartashov, M. V. 3 2008 The calculation and estimation of the exponential ergodicity exponent for general Markov processes and chains with recurrent kernels. Zbl 0945.60061 Kartashov, M. V. 3 1996 Inequalities in Rényi’s theorem. Zbl 0834.60025 Kartashov, N. V. 3 1991 The equivalence of the uniform renewal theorems and their criteria. Zbl 0499.60091 Kartashov, N. V. 3 1982 Maximal coupling and \(V\)-stability of discrete nonhomogeneous Markov chains. Zbl 1357.60074 Golomozyĭ, V. V.; Kartashov, M. V. 3 2016 On the explicit estimates for the power rate of convergence in the renewal theorem. Zbl 0408.60089 Kartashov, N. V. 2 1979 On explicit estimates of the rate of convergence in the renewal theorem. Zbl 0433.60084 Kartashov, N. V. 2 1979 The stability of almost homogeneous in time Markov semigroups of operators. Zbl 1097.60059 Kartashov, M. V. 2 2004 On ruin probability for a risk process with bounded reserves. Zbl 0955.60072 Kartashov, N. V. 2 1999 Stability of transient quasi-homogeneous Markov semigroups and estimate of ruin probability. Zbl 1164.60405 Kartashov, M. V. 2 2006 A uniform asymptotic renewal theorem. Zbl 0462.60083 Kartashov, N. V. 2 1981 Quantitative estimates of ergodicity in the GI/GI/1 system. Zbl 0486.60090 Kartashov, N. V. 2 1980 The ergodicity and stability of quasi-homogeneous Markov semigroups of operators. Zbl 1124.60060 Kartashov, M. V. 2 2005 Quantitative and qualitative limits for exponential asymptotics of hitting times for birth-and-death chains in a scheme of series. Zbl 1326.60123 Kartashov, N. V. 2 2014 Asymptotic expansions and inequalities in theorems of stability of general Markov chains in the case of relatively bounded perturbations. Zbl 0616.60067 Kartashov, N. V. 1 1985 Asymptotic expansions and inequalities in stability theorems for general Markov chains with relatively bounded perturbations. Zbl 0638.60076 Kartashov, N. V. 1 1988 Estimates of the geometric asymptotics of Markov times on homogeneous chains. Zbl 0659.60102 Kartashov, N. V. 1 1988 Finite dimensional interpolation of a random field on the plane. Zbl 0939.60041 Kartashov, M. V. 1 1994 Calculation of the exponential ergodicity exponent for birth-death processes. Zbl 0948.60079 Kartashov, M. V. 1 1997 The asymptotic behavior of rare Markov moments defined on time inhomogeneous Markov chains. Zbl 1329.60256 Kartashov, M. V. 1 2014 Interval estimates of the classical ruin probability for some classes of distributions of claims. Zbl 0987.91041 Kartashov, M. V. 1 2000 Equivalence of uniform renewal theorems and criteria for their validity. Zbl 0521.60088 Kartashov, N. V. 1 1983 Impact of the stress factor on the price of widow’s pensions. Proofs. Zbl 1348.60111 Golomozyĭ, V. V.; Kartashov, M. V.; Kartashov, Yu. M. 5 2016 Maximal coupling and \(V\)-stability of discrete nonhomogeneous Markov chains. Zbl 1357.60074 Golomozyĭ, V. V.; Kartashov, M. V. 3 2016 Maximal coupling and stability of discrete non-homogeneous Markov chains. Zbl 1333.60160 Golomozyĭ, V. V.; Kartashov, M. V. 8 2015 On the integrability of the coupling moment for time-inhomogeneous Markov chains. Zbl 1322.60147 Golomoziy, V. V.; Kartashov, N. V. 13 2014 The impact of stress factors on the price of widow’s pensions. Zbl 1325.91029 Kartashov, Yurij; Golomoziy, Vitalij; Kartashov, Nikolai 9 2014 Quantitative and qualitative limits for exponential asymptotics of hitting times for birth-and-death chains in a scheme of series. Zbl 1326.60123 Kartashov, N. V. 2 2014 The asymptotic behavior of rare Markov moments defined on time inhomogeneous Markov chains. Zbl 1329.60256 Kartashov, M. V. 1 2014 Maximal coupling procedure and stability of discrete Markov chains. II. Zbl 1322.60150 Kartashov, M. V.; Golomozyĭ, V. V. 16 2013 Maximal coupling procedure and stability of discrete Markov chains. I. Zbl 1322.60149 Kartashov, M. V.; Golomozyĭ, V. V. 13 2013 The mean coupling time for independent discrete renewal processes. Zbl 1284.60146 Kartashov, M. V.; Golomozyĭ, V. V. 7 2012 Boundedness, limits, and stability of solutions of a perturbation of a nonhomogeneous renewal equation on a semiaxis. Zbl 1224.60190 Kartashov, M. V. 11 2009 Inhomogeneous perturbations of a renewal equation and the Cramér-Lundberg theorem for a risk process with variable premium rates. Zbl 1224.91065 Kartashov, M. V. 3 2008 Stability of transient quasi-homogeneous Markov semigroups and estimate of ruin probability. Zbl 1164.60405 Kartashov, M. V. 2 2006 Lundberg approximation for the risk function in an almost homogeneous environment. Zbl 1116.60039 Kartashov, M. V.; Stroev, O. M. 4 2005 The ergodicity and stability of quasi-homogeneous Markov semigroups of operators. Zbl 1124.60060 Kartashov, M. V. 2 2005 The stability of almost homogeneous in time Markov semigroups of operators. Zbl 1097.60059 Kartashov, M. V. 2 2004 Determination of the spectral index of ergodicity of a birth-and-death process. Zbl 0973.60091 Kartashov, N. V. 5 2000 Interval estimates of the classical ruin probability for some classes of distributions of claims. Zbl 0987.91041 Kartashov, M. V. 1 2000 On ruin probability for a risk process with bounded reserves. Zbl 0955.60072 Kartashov, N. V. 2 1999 Calculation of the exponential ergodicity exponent for birth-death processes. Zbl 0948.60079 Kartashov, M. V. 1 1997 Strong stable Markov chains. Zbl 0874.60082 Kartashov, N. V. 81 1996 The calculation and estimation of the exponential ergodicity exponent for general Markov processes and chains with recurrent kernels. Zbl 0945.60061 Kartashov, M. V. 3 1996 Finite dimensional interpolation of a random field on the plane. Zbl 0939.60041 Kartashov, M. V. 1 1994 Inequalities in Rényi’s theorem. Zbl 0834.60025 Kartashov, N. V. 3 1991 Asymptotic expansions and inequalities in stability theorems for general Markov chains with relatively bounded perturbations. Zbl 0638.60076 Kartashov, N. V. 1 1988 Estimates of the geometric asymptotics of Markov times on homogeneous chains. Zbl 0659.60102 Kartashov, N. V. 1 1988 Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. I. Zbl 0657.60088 Kartashov, N. V. 22 1986 Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. II. Zbl 0619.60066 Kartashov, N. V. 15 1986 Strongly stable Markov chains. Zbl 0594.60069 Kartashov, N. V. 14 1986 Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space. Zbl 0586.60058 Kartashov, N. V. 20 1985 Inequalities in stability and ergodicity theorems for Markov chains with a general state space. I. Zbl 0584.60077 Kartashov, N. V. 4 1985 Asymptotic expansions and inequalities in theorems of stability of general Markov chains in the case of relatively bounded perturbations. Zbl 0616.60067 Kartashov, N. V. 1 1985 A test of uniform ergodicity and strong stability for Markov chains with general phase space. Zbl 0562.60070 Kartashov, N. V. 5 1984 Ergodicity and stability of Markov chains with respect to operator topology in the space of transition kernels. Zbl 0528.60067 Ajssani, Dzh.; Kartashov, N. V. 23 1983 Equivalence of uniform renewal theorems and criteria for their validity. Zbl 0521.60088 Kartashov, N. V. 1 1983 The equivalence of the uniform renewal theorems and their criteria. Zbl 0499.60091 Kartashov, N. V. 3 1982 Strongly stable Markov chains. Zbl 0569.60065 Kartashov, N. V. 4 1981 A uniform asymptotic renewal theorem. Zbl 0462.60083 Kartashov, N. V. 2 1981 Quantitative estimates of ergodicity in the GI/GI/1 system. Zbl 0486.60090 Kartashov, N. V. 2 1980 On the explicit estimates for the power rate of convergence in the renewal theorem. Zbl 0408.60089 Kartashov, N. V. 2 1979 On explicit estimates of the rate of convergence in the renewal theorem. Zbl 0433.60084 Kartashov, N. V. 2 1979 all cited Publications top 5 cited Publications all top 5 Cited by 134 Authors 25 Aissani, Djamil 20 Golomoziy, Vitaliy 15 Kartashov, Mykola Valentynovych 14 Zeifman, Alexander Izrailevich 8 Silvestrov, Dmitrii 7 Bareche, Aïcha 6 Korolev, Viktor Yur’evich 5 Gordienko, Evgueni I. 5 Heidergott, Bernd F. 5 Rabta, Boualem 4 Abbas, Karim 4 Hervé, Loïc 4 Ledoux, James 4 Liu, Yuanyuan 4 Mukhamedov, Farruh Maksutovich 4 Wefelmeyer, Wolfgang 3 Erkurşun Özcan, Nazife 3 Hordijk, Arie 3 Kiseleva, Ksenia 3 Meyn, Sean P. 3 Mitrophanov, Alexander Yu. 3 Montes-de-Oca, Raúl 3 Mouhoubi, Zahir 3 Müller, Ursula U. 3 Petersson, Mikael 3 Satin, Yacov 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 Kontoyiannis, Ioannis 2 Korotysheva, Anna 2 Kushnir, O. O. 2 Kushnir, V. P. 2 Lekadir, Ouiza 2 Popov, Gennadiĭ Yakovlevich 2 Rahmoune, Fazia 2 Razumchik, Rostislav V. 2 Satin, Ya. A. 2 Schick, Anton 1 Adel-Aissanou, Karima 1 Adjabi, Smail 1 Alquier, Pierre 1 Ammar, Sherif Ibrahim 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 Djabali, Yasmina 1 Duncan, Tyrone E. 1 Enikeeva, Farida N. 1 Everitt, Richard Geoffrey 1 Ferré, Déborah 1 Friel, Nial 1 Gyllenberg, Mats 1 Hakmi, Sedda 1 Harfouche, Zineb 1 Hashmi, Muntazim Abbas 1 Hou, Zhenting 1 Isaadi, Badredine 1 Jaśkiewicz, Anna 1 Jiang, Shuxia 1 Kachiashvili, Kartlos Joseph 1 Kalashnikov, Vladimir Vyacheslavovich 1 Kapica, Rafał 1 Kartashov, Yu. M. 1 Kartashov, Yurij 1 Kerefov, A. A. 1 Klokov, Sergey A. 1 Komorek, Dawid 1 Kovalenko, Igor Mykolaĭovych 1 Kozarovitsky, Eugene 1 Kryukova, Anastasia 1 Kushnir, A. O. 1 Leahu, Haralambie 1 Li, Wendi 1 Limnios, Nikolaos 1 Lomsadze, Alexandre 1 Lorek, Paweł 1 Mendoza-Pérez, Armando Felipe 1 Minjárez-Sosa, Jesus Adolfo 1 Mueed, A. 1 Nowak, Andrzej S. 1 Pasik-Duncan, Bozenna 1 Pavlyukevich, Ilya 1 Penev, Spiridon I. 1 Peng, Yijie ...and 34 more Authors all top 5 Cited in 61 Serials 24 Theory of Probability and Mathematical Statistics 9 Journal of Mathematical Sciences (New York) 8 Journal of Applied Probability 6 Advances in Applied Probability 6 Statistics & Probability Letters 6 Methodology and Computing in Applied Probability 4 The Annals of Applied Probability 4 Linear Algebra and its Applications 4 Stochastic Processes and their Applications 4 Mathematical Methods of Operations Research 3 Bernoulli 3 Modern Stochastics. Theory and 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 SIAM Journal on Control and Optimization 2 Queueing Systems 2 Communications in Statistics. Theory and Methods 2 Cybernetics and Systems Analysis 2 Random Operators and Stochastic Equations 2 International Journal of Applied Mathematics and Computer Science 2 Scandinavian Actuarial Journal 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 Le Matematiche 1 Quaestiones Mathematicae 1 Results in Mathematics 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 Communications in Statistics. Simulation and Computation 1 Glasnik Matematički. Serija III 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Monte Carlo Methods and Applications 1 Electronic Communications in Probability 1 Mathematical Problems in Engineering 1 Journal of Applied Statistics 1 RAIRO. Operations Research 1 Qualitative Theory of Dynamical Systems 1 Stochastic Models 1 Acta Mathematica Scientia. Series B. (English Edition) 1 ASTIN Bulletin 1 Mediterranean Journal of Mathematics 1 Journal of Industrial and Management Optimization 1 Stochastics 1 Science China. Mathematics 1 Statistics and Computing 1 Open Mathematics all top 5 Cited in 18 Fields 121 Probability theory and stochastic processes (60-XX) 32 Operations research, mathematical programming (90-XX) 23 Statistics (62-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Numerical analysis (65-XX) 10 Systems theory; control (93-XX) 7 Operator theory (47-XX) 5 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year