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Kartashov, Mykola Valentynovych

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 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
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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.
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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
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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)

Citations contained in zbMATH

36 Publications have been cited 235 times in 132 Documents Cited by Year
Strong stable Markov chains. Zbl 0874.60082
Kartashov, N. V.
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.
1983
Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. I. Zbl 0657.60088
Kartashov, N. V.
1986
Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space. Zbl 0586.60058
Kartashov, N. V.
1985
Boundedness, limits, and stability of solutions of a perturbation of a nonhomogeneous renewal equation on a semiaxis. Zbl 1224.60190
Kartashov, M. V.
2009
Strongly stable Markov chains. Zbl 0594.60069
Kartashov, N. V.
1986
Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. II. Zbl 0619.60066
Kartashov, N. V.
1986
On the integrability of the coupling moment for time-inhomogeneous Markov chains. Zbl 1322.60147
Golomoziy, V. V.; Kartashov, N. V.
2014
Maximal coupling procedure and stability of discrete Markov chains. II. Zbl 1322.60150
Kartashov, M. V.; Golomozyĭ, V. V.
2013
The impact of stress factors on the price of widow’s pensions. Zbl 1325.91029
Kartashov, Yurij; Golomoziy, Vitalij; Kartashov, Nikolai
2014
Determination of the spectral index of ergodicity of a birth-and-death process. Zbl 0973.60091
Kartashov, N. V.
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.
2016
Maximal coupling procedure and stability of discrete Markov chains. I. Zbl 1322.60149
Kartashov, M. V.; Golomozyĭ, V. V.
2013
Inequalities in stability and ergodicity theorems for Markov chains with a general state space. I. Zbl 0584.60077
Kartashov, N. V.
1985
A test of uniform ergodicity and strong stability for Markov chains with general phase space. Zbl 0562.60070
Kartashov, N. V.
1984
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.
2008
Lundberg approximation for the risk function in an almost homogeneous environment. Zbl 1116.60039
Kartashov, M. V.; Stroev, O. M.
2005
The calculation and estimation of the exponential ergodicity exponent for general Markov processes and chains with recurrent kernels. Zbl 0945.60061
Kartashov, M. V.
1996
The equivalence of the uniform renewal theorems and their criteria. Zbl 0499.60091
Kartashov, N. V.
1982
Strongly stable Markov chains. Zbl 0569.60065
Kartashov, N. V.
1981
On explicit estimates of the rate of convergence in the renewal theorem. Zbl 0433.60084
Kartashov, N. V.
1979
Maximal coupling and stability of discrete non-homogeneous Markov chains. Zbl 1333.60160
Golomozyĭ, V. V.; Kartashov, M. V.
2015
The mean coupling time for independent discrete renewal processes. Zbl 1284.60146
Kartashov, M. V.; Golomozyĭ, V. V.
2012
Stability of transient quasi-homogeneous Markov semigroups and estimate of ruin probability. Zbl 1164.60405
Kartashov, M. V.
2006
The ergodicity and stability of quasi-homogeneous Markov semigroups of operators. Zbl 1124.60060
Kartashov, M. V.
2005
On ruin probability for a risk process with bounded reserves. Zbl 0955.60072
Kartashov, N. V.
1999
A uniform asymptotic renewal theorem. Zbl 0462.60083
Kartashov, N. V.
1981
Quantitative estimates of ergodicity in the GI/GI/1 system. Zbl 0486.60090
Kartashov, N. V.
1980
On the explicit estimates for the power rate of convergence in the renewal theorem. Zbl 0408.60089
Kartashov, N. V.
1979
Maximal coupling and $$V$$-stability of discrete nonhomogeneous Markov chains. Zbl 1357.60074
Golomozyĭ, V. V.; Kartashov, M. V.
2016
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.
2014
Calculation of the exponential ergodicity exponent for birth-death processes. Zbl 0948.60079
Kartashov, M. V.
1997
Finite dimensional interpolation of a random field on the plane. Zbl 0939.60041
Kartashov, M. V.
1994
Asymptotic expansions and inequalities in stability theorems for general Markov chains with relatively bounded perturbations. Zbl 0638.60076
Kartashov, N. V.
1988
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.
1985
Equivalence of uniform renewal theorems and criteria for their validity. Zbl 0521.60088
Kartashov, N. V.
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.
2016
Maximal coupling and $$V$$-stability of discrete nonhomogeneous Markov chains. Zbl 1357.60074
Golomozyĭ, V. V.; Kartashov, M. V.
2016
Maximal coupling and stability of discrete non-homogeneous Markov chains. Zbl 1333.60160
Golomozyĭ, V. V.; Kartashov, M. V.
2015
On the integrability of the coupling moment for time-inhomogeneous Markov chains. Zbl 1322.60147
Golomoziy, V. V.; Kartashov, N. V.
2014
The impact of stress factors on the price of widow’s pensions. Zbl 1325.91029
Kartashov, Yurij; Golomoziy, Vitalij; Kartashov, Nikolai
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.
2014
Maximal coupling procedure and stability of discrete Markov chains. II. Zbl 1322.60150
Kartashov, M. V.; Golomozyĭ, V. V.
2013
Maximal coupling procedure and stability of discrete Markov chains. I. Zbl 1322.60149
Kartashov, M. V.; Golomozyĭ, V. V.
2013
The mean coupling time for independent discrete renewal processes. Zbl 1284.60146
Kartashov, M. V.; Golomozyĭ, V. V.
2012
Boundedness, limits, and stability of solutions of a perturbation of a nonhomogeneous renewal equation on a semiaxis. Zbl 1224.60190
Kartashov, M. V.
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.
2008
Stability of transient quasi-homogeneous Markov semigroups and estimate of ruin probability. Zbl 1164.60405
Kartashov, M. V.
2006
Lundberg approximation for the risk function in an almost homogeneous environment. Zbl 1116.60039
Kartashov, M. V.; Stroev, O. M.
2005
The ergodicity and stability of quasi-homogeneous Markov semigroups of operators. Zbl 1124.60060
Kartashov, M. V.
2005
Determination of the spectral index of ergodicity of a birth-and-death process. Zbl 0973.60091
Kartashov, N. V.
2000
On ruin probability for a risk process with bounded reserves. Zbl 0955.60072
Kartashov, N. V.
1999
Calculation of the exponential ergodicity exponent for birth-death processes. Zbl 0948.60079
Kartashov, M. V.
1997
Strong stable Markov chains. Zbl 0874.60082
Kartashov, N. V.
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.
1996
Finite dimensional interpolation of a random field on the plane. Zbl 0939.60041
Kartashov, M. V.
1994
Asymptotic expansions and inequalities in stability theorems for general Markov chains with relatively bounded perturbations. Zbl 0638.60076
Kartashov, N. V.
1988
Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. I. Zbl 0657.60088
Kartashov, N. V.
1986
Strongly stable Markov chains. Zbl 0594.60069
Kartashov, N. V.
1986
Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. II. Zbl 0619.60066
Kartashov, N. V.
1986
Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space. Zbl 0586.60058
Kartashov, N. V.
1985
Inequalities in stability and ergodicity theorems for Markov chains with a general state space. I. Zbl 0584.60077
Kartashov, N. V.
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.
1985
A test of uniform ergodicity and strong stability for Markov chains with general phase space. Zbl 0562.60070
Kartashov, N. V.
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.
1983
Equivalence of uniform renewal theorems and criteria for their validity. Zbl 0521.60088
Kartashov, N. V.
1983
The equivalence of the uniform renewal theorems and their criteria. Zbl 0499.60091
Kartashov, N. V.
1982
Strongly stable Markov chains. Zbl 0569.60065
Kartashov, N. V.
1981
A uniform asymptotic renewal theorem. Zbl 0462.60083
Kartashov, N. V.
1981
Quantitative estimates of ergodicity in the GI/GI/1 system. Zbl 0486.60090
Kartashov, N. V.
1980
On explicit estimates of the rate of convergence in the renewal theorem. Zbl 0433.60084
Kartashov, N. V.
1979
On the explicit estimates for the power rate of convergence in the renewal theorem. Zbl 0408.60089
Kartashov, N. V.
1979
all top 5