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 , 1 2018 , - , , - . 18 1952 , . . , 1975 - , 1978 . 1986 , 34 , , , . 1989 . : , , . , . 100 Strong Stable Markov Chains, 1996 . 㳿 , . . . ³ , . (, , , 2007 ., , , 2009 .), . 10 . , - , , , , , , . , . . , . Djamil Aissani, Director of the Research Unit LaMOS Modern Problems in Insurance Mathematics /Editors D.Silvestrov, A.Martin Lof, (International Cramér Symposium on Insurance Mathematics), Springer, 2014, pp.223-236 , Sweden (2014) : The Impact of Stress Factors on the Price of Widows PensionInternational Conference Modern Stochastics: Theory and Applications III, Conference Materials, pp. 29-30 , 2012, Kyiv National Taras Shevchenko University, Kyiv,2012, Ukraine (2012) : The enhanced stability estimate of a nonhomogeneous perturbation of the renewal equation on halflineInternational Conference Modern Stochastics: Theory and Applications III, Conference Materials, p. 51 , 2012, Kyiv National Taras Shevchenko University, Kyiv,2012, Ukraine (2012) : The expected coupling time for two independent discrete renewal processesInternational Conference Modern Stochastics: Theory and Applications II, Conference Materials, pp , 2010, Kyiv National Taras Shevchenko , Ukraine (2010) : Asymptotic of solutions of inhomogeneous perturbations of the renewal equationSkorokhod Space conference, Kyiv,2007, Ukraine (2007) : Inhomogeneous perturbations of the renewal equation and Cramer-Lundberg theorem for the risk process with reserve-dependent premium rateInternational Conference Modern Stochastics: Theory and Applications, Conference Materials, pp 155-156, June 19-23, 2006, Kyiv National Taras Shevtchenko University, Kyiv 2006, Ukraine (2006) : The asymptotic of the ruin probability for the state-nonhomogeneous risk process Modern Problems and New Trends in Prob. Theory, Abstracts, v.1, Chernivtsi, Ukraine, June 2005, Ukraine (2005) : Quasi-homogeneous semigroups and ruin probabilityProc. 9th Annual Conf. Risk Analysis, Rotherdam,Netherland, Rotherdam,Netherland (1999) : Assessment of spontaneous thyroid cancer risk in UkraineProc. 9th Annual Conf. Risk Analysis, Rotherdam,Netherland, Rotherdam,Netherland (1999) : Assessment of spontaneous thyroid cancer risk in UkraineKartashov N.V. "Strong Stable Markov chains". VSP, Utrecht, The Netherlands, 138 p. - 1996.. .. .. " ". , - ' ', 366 p. - 2015. . , . . , . . [ .]. "Ͳ ǲ Ҳ ˲ " " Ҳ Ͳ- ". , - ' ', - 2014 .., .. "I I i i i i i i i i i- , ". , - ' ', - 2014 .. " ". , - ' ', , - 2009 .., .., .., .. " : ". , 60 p. - 2008 .. " ". - , 58 p. - 2008 .. .. .. .. " . Ͳ ǲ ". , - ' ', - 2008 .. .. .. "Ͳ ǲ " "". , - ' ', - 2008 .. ", , ". - , 294 p. - 2007 .. ", , ". , - , 494 p. - 2007 .. " ". , - ' ' , - 2007 .. "Ͳ ǲ " "". , - 2007 .., .., .. " ". - , 48 p. - 20062015.. .. .M. " - -i i i. ". p. . ., pp. 23 - 27, - 2015 .. " i i , i i - ". p. . ., pp. 41 - 60, - 20152014.. , .. " ". p. . ., pp. 15 - 25, - 20142013M. V. KARTASHOV "Quantitative and qualitative limits for exponential asymptotics of hitting times for birth-and-death chains in a scheme of series". p. . ., 2013, pp. 41 - 51, - 2013.. " ". p. . ., pp. 83 - 94, - 2013V.V. Golomoziy, M.V. Kartashov "ON COUPLING MOMENT INTEGRABILITY FOR TIME-INHOMOGENEOUS MARKOV CHAINS. ". p. . , pp. 1 - 11, - 20132012 .., .. " , I ". p. . ., 2012, n.86, pp. 81 - 91, - 2012 .., .. " ". p. . ., 2012, n.87, pp. 47 - 59, - 2012M. V. KARTASHOV "Improvement of the Stability of Solutions of an Inhomogeneous Perturbed Renewal Equation on the Semiaxis". Theor. Probab. Math. Stat., 2012, n.84, pp. 65 - 78, - 2012 M. V. KARTASHOV AND V. V. GOLOMOZY ? I "The Mean Coupling Time for Independent Discrete Renewal Processes". Theor. Probab. Math. Stat., 2012, n.84, pp. 79 - 86, - 2012 M. V. KARTASHOV AND V. V. GOLOMOZYI "MAXIMAL COUPLING PROCEDURE AND STABILITY OF DISCRETE MARKOV CHAINS. I". Theor. Probab. Math. Stat., 2012, n.86, pp. 93 - 104, - 2012 M. V. KARTASHOV AND V. V. GOLOMOZYI "MAXIMAL COUPLING PROCEDURE AND STABILITY OF DISCRETE MARKOV CHAINS. II". Theor. Probab. Math. Stat., 2012, n.87, pp. 217 - 230, - 2012 2011 .., .. " ". . 84, pp. 77 - 83, - 2011 .. " . ". . 84, pp. 64 - 76, - 20112010 . . "̳ ". , .82, pp. 43 - 55, - 20102009 . . ", ". . . . . 81, pp. 65 - 75, - 20092008.. " - ". . . , 78, - 20082007M. V. Kartashov "The stability of transient quasi-homogeneous Markov semigroups and an estimate of the ruin probability". Theor. Probability and Math. Statist. (Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 75 (2006).), pp. 41 - 50, - 2007 : , : :