Edit Profile (opens in new tab) Mogul’skii, Anatolii Alfredovich Co-Author Distance Author ID: mogulskii.a-a Published as: Mogul’skij, A. A.; Mogulskii, A. A.; Mogul’skiĭ, A. A.; Mogul’skiĭ, Anatoliĭ Al’fredovich; Mogul’skii, A. A.; Mogulskij, A. A.; Mogul’skiĭ, Anatoliĭ Alfredovich; Mogulskiĭ, Anatoliĭ Al’fredovich; Mogulskii, Anatolii Alfredovich; Mogulskii, A.; Mogulskii, Anatolii Al’fredovich; Mogulski, Anatoli A.; Mogulskii, Anatolii; Mogulskii, Anatoli; Mogulsky, A. A. more...less Documents Indexed: 127 Publications since 1973, including 3 Books Co-Authors: 30 Co-Authors with 86 Joint Publications 1,037 Co-Co-Authors all top 5 Co-Authors 37 single-authored 44 Borovkov, Aleksandr Alekseevich 12 Prokopenko, Evgeniĭ Igor’evich 7 Rogozin, B. A. 4 Pechersky, Eugene A. 3 Borisov, Igor Semenovich 3 Klebaner, Fima C. 2 Avram, Florin 2 Byambazhav, D. 2 Dzhafarov, K. A. 2 Foss, Sergey G. 2 Ibragimov, Il’dar Abdullovich 2 Logachev, Artem Vasilhevich 2 Logachov, Artem Vasilhevich 2 Lotov, Vladimir Ivanovich 2 Sakhanenko, Aleksandr Ivanovich 2 Yambartsev, Anatoly A. 1 Arkashov, Nikolay Sergeevich 1 Byambayav, D. 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 Konstantopoulos, Takis 1 Logachov, Artem Vasil’evich 1 Maslov, Viktor Pavlovich 1 Pagma, Ch. 1 Prokhorov, Yuriĭ Vasil’evich 1 Rozovskiĭ, Leonid Viktorovich 1 Sevast’yanov, Boris Aleksandrovich 1 Shiryaev, Al’bert Nikolaevich 1 Suhov, Yurii Mikhailovich 1 Vakhania, Nicholas N. 1 Yambartsev, Anatoli all top 5 Serials 27 Theory of Probability and its Applications 18 Siberian Mathematical Journal 16 Matematicheskie Trudy 12 Sibirskie Èlektronnye Matematicheskie Izvestiya 11 Siberian Advances in Mathematics 10 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Problems of Information Transmission 2 Russian Mathematical Surveys 2 Teoriya Veroyatnosteĭ i eë Primeneniya 2 Electronic Communications in Probability 2 Markov Processes and Related Fields 1 Mathematical Notes 1 The Annals of Probability 1 Stochastic Processes and their Applications 1 Theory of Probability and Mathematical Statistics 1 Journal of Mathematical Sciences (New York) 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics all top 5 Fields 120 Probability theory and stochastic processes (60-XX) 11 Statistics (62-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 592 times in 313 Documents Cited by ▼ Year ▼ Large deviations for trajectories of multi-dimensional random walks. Zbl 0366.60031 Mogul’skij, A. A. 40 1976 Large deviations for processes with independent increments. Zbl 0769.60026 Mogulskii, A. A. 33 1993 Small deviations in a space of trajectories. Zbl 0326.60061 Mogul’skij, A. A. 29 1974 Large deviations for Markov chains in the positive quadrant. Zbl 1068.60034 Borovkov, A. A.; Mogul’skii, A. A. 26 2001 The second rate function and the asymptotic problems of renewal and hitting the boundary for multidimensional random walks. Zbl 0878.60023 Borovkov, A. A.; Mogul’skij, A. A. 23 1996 On large deviation principles in metric spaces. Zbl 1225.60051 Borovkov, A. A.; Mogul’skii, A. A. 20 2010 Large deviation principles for the finite-dimensional distributions of compound renewal processes. Zbl 1318.60031 Borovkov, A. A.; Mogul’skiĭ, A. A. 20 2015 Integro-local limit theorems for compound renewal processes under Cramér’s condition. I. Zbl 1404.60128 Borovkov, A. A.; Mogulskii, A. A. 19 2018 Integro-local limit theorems for compound renewal processes under Cramér’s condition. II. Zbl 1404.60129 Borovkov, A. A.; Mogulskii, A. A. 16 2018 On the law of the iterated logarithm in Chung’s form for functional spaces. Zbl 0452.60037 Mogul’skij, A. A. 13 1980 Integro-local theorems for multidimensional compound renewal processes, when Cramer’s condition holds. I. Zbl 1395.60102 Mogul’skiĭ, Anatoliĭ Alfredovich; Prokopenko, Evgeniĭ Igor’evich 12 2018 Integro-local and integral theorems for sums of random variables with semiexponential distributions. Zbl 1150.60021 Borovkov, A. A.; Mogul’skii, A. A. 11 2006 Probabilities of large deviations in topological spaces. I. Zbl 0413.60021 Borovkov, A. A.; Mogul’skij, A. A. 11 1979 Large deviation principles for trajectories of compound renewal processes. I. Zbl 1341.60009 Borovkov, A. A.; Mogulskii, A. A. 11 2016 Integro-local theorems for multidimensional compound renewal processes, when Cramer’s condition holds. III. Zbl 1395.60104 Mogul’skiĭ, Anatoliĭ Alfredovich; Prokopenko, Evgeniĭ Igor’evich 11 2018 On large and superlarge deviations of sums of independent random vectors under Cramér’s condition. II. Zbl 1201.60024 Borovkov, A. A.; Mogulskii, A. A. 10 2007 Integro-local theorems for multidimensional compound renewal processes, when Cramer’s condition holds. II. Zbl 1395.60103 Mogul’skiĭ, Anatoliĭ Alfredovich; Prokopenko, Evgeniĭ Igor’evich 10 2018 On probabilities of small deviations for stochastic processes. Zbl 0718.60024 Borovkov, A. A.; Mogul’skij, A. A. 9 1991 Large deviation principles for random walk trajectories. I. Zbl 1267.60029 Borovkov, A. A.; Mogulskii, A. A. 9 2012 The rate function and the fundamental function for multidimensional compound renewal process. Zbl 1423.60131 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igor’evich 9 2019 Absolute estimates for moments of certain boundary functionals. Zbl 0298.60031 Mogul’skij, A. A. 8 1973 Chebyshev-type exponential inequalities for sums of random vectors and for trajectories of random walks. Zbl 1238.60022 Borovkov, A. A.; Mogulskij, A. A. 8 2012 Probabilities of large deviations in topological spaces. II. Zbl 0458.60019 Borovkov, A. A.; Mogul’skij, A. A. 8 1981 Inequalities and principles of large deviations for the trajectories of processes with independent increments. Zbl 1270.60056 Borovkov, A. A.; Mogul’skiĭ, A. A. 8 2013 Über die Wahrscheinlichkeiten großer Abweichungen in topologischen Räumen. II. Zbl 0446.60016 Borovkov, A. A.; Mogul’skij, A. A. 7 1980 On large and superlarge deviations of sums of independent random vectors under Cramér’s condition. I. Zbl 1137.60011 Borovkov, A. A.; Mogulskii, A. A. 7 2007 Large deviations and test of a statistical hypothesis. (Бол’шие уклонения и проверка статистических гипотез.) Zbl 0758.62015 Borovkov, A. A.; Mogul’skiĭ, A. A. 7 1992 Large deviation principles for trajectories of compound renewal processes. II. Zbl 1387.60051 Borovkov, A. A.; Mogulskii, A. A. 7 2016 Large deviation principles for random walk trajectories. III. Zbl 1293.60035 Borovkov, A. A.; Mogulskii, A. A. 7 2014 Local theorems for arithmetic compound renewal processes when Cramer’s condition holds. Zbl 1422.60153 Mogulskiĭ, Anatoliĭ Al’fredovich 7 2019 Large deviation principle for multidimensional first compound renewal processes in the phase space. Zbl 1423.60132 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igor’evich 7 2019 Large deviations and testing statistical hypotheses. I: Large deviations of sums of random vectors. Zbl 0847.62012 Borovkov, A. A.; Mogul’skij, A. A. 6 1992 Limit theorems for random processes. Zbl 0951.60023 Borovkov, A. A.; Mogul’skij, A. A.; Sakhanenko, A. I. 6 1995 Integro-local limit theorems including large deviations for sums of random vectors. I. Zbl 0927.60040 Borovkov, A. A.; Mogul’skij, A. A. 6 1998 Properties of a functional of trajectories which arises in studying the probabilities of large deviations of random walks. Zbl 1238.60034 Borovkov, A. A.; Mogul’skiĭ, A. A. 6 2011 Integro-local limit theorems including large deviations for sums of random vectors. II. Zbl 0980.60030 Borovkov, A. A.; Mogul’skij, A. A. 6 2000 Large deviation principle for multidimensional second compound renewal processes in the phase space. Zbl 1423.60133 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igor’evich 6 2019 Large deviations for excursions of non-homogeneous Markov processes. Zbl 1320.60080 Mogulskii, Anatoli; Pechersky, Eugene; Yambartsev, Anatoli 5 2014 Über die Wahrscheinlichkeiten großer Abweichungen in topologischen Räumen. I. Zbl 0397.60029 Borovkov, A. A.; Mogul’skij, A. A. 5 1978 Limit theorems in the boundary hitting problem for a multidimensional random walk. Zbl 0983.60011 Borovkov, A. A.; Mogul’skij, A. A. 5 2001 Large deviations for stationary Markov chains in a quarter plane. Zbl 0970.60029 Borovkov, A. A.; Mogulskii, A. A. 5 1996 Anscombe-type theorem and moderate deviations for trajectories of a compound renewal process. Zbl 1387.60132 Logachov, Artem Vasil’evich; Mogulskii, Anatolii Al’fredovich 5 2018 Local theorems for arithmetic multidimensional compound renewal processes under Cramér’s condition. Zbl 1492.60246 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igorevich 5 2019 Properties of the deviation rate function and the asymptotics for the Laplace transform of the distribution of a compound renewal process. Zbl 1432.60080 Borovkov, A. A.; Mogulskii, A. A.; Prokopenko, E. I. 5 2020 Remarks on large deviations for the \(\omega^2\) statistic. Zbl 0375.60034 Mogul’skij, A. A. 4 1977 On the size of the first jump for a process with independent increments. Zbl 0361.60038 Mogul’skij, A. A. 4 1976 Integro-local theorems for sums of independent random vectors in the series scheme. Zbl 1114.60037 Borovkov, A. A.; Mogul’skij, A. A. 4 2006 Results of the type of de Finetti for \(l_ p\). Zbl 0746.60022 Mogul’skij, A. A. 4 1991 Moderately large deviation principles for the trajectories of random walks and processes with independent increments. Zbl 1327.60068 Borovkov, A. A.; Mogulskii, A. A. 4 2014 The large deviation principle for a compound Poisson process. Zbl 1399.60036 Mogul’skiĭ, A. A. 4 2016 Large deviation principles for sums of random vectors and the corresponding renewal functions in the inhomogeneous case. Zbl 1374.60032 Borovkov, A. A.; Mogul’skiĭ, A. A. 3 2014 Large deviations and testing statistical hypotheses. II: Large deviations of maximum points of random fields. Zbl 0847.62013 Borovkov, A. A.; Mogul’skij, A. A. 3 1992 Large deviations for processes on half-line. Zbl 1329.60055 Klebaner, Fima C.; Logachev, Artem V.; Mogulski, Anatoli A. 3 2015 Large deviations for the maximum likelihood estimators. Zbl 0634.62011 Mogulskij, A. A. 3 1988 On the first exit time from a semigroup in \(R^m\) for a random walk. Zbl 0386.60051 Mogul’skij, A. A.; Pecherskij, E. A. 3 1977 Large deviation principles for random walk trajectories. II. Zbl 1279.60037 Borovkov, A. A.; Mogulskii, A. A. 3 2013 The extended large deviation principle for a process with independent increments. Zbl 1372.60032 Mogul’skiĭ, A. A. 3 2017 Extended large deviation principle for trajectories of processes with independent and stationary increments on the half-line. Zbl 1447.60056 Klebaner, F. C.; Logachov, A. V.; Mogulskii, A. A. 3 2020 An integro-local theorem applicable on the whole half-axis to the sums of random variables with regularly varying distributions. Zbl 1164.60332 Mogul’skij, A. A. 3 2008 The expansion theorem for the deviation integral. Zbl 1340.60024 Mogul’skiĭ, A. A. 3 2012 Large deviations for processes on half-line: random walk and compound Poisson. Zbl 1420.60039 Klebaner, Fima C.; Mogulskiĭ, Anatoliĭ Al’fredovich 3 2019 Extended principle of large deviations for trajectories of a generalized renewal process. Zbl 1507.60115 Mogul’skiĭ, Anatoliĭ Al’fredovich 3 2021 Large deviation principle for finite-dimensional distributions of multidimensional generalized renewal processes. (Принцип больших уклонений для конечномерных распределений многомерных обобщенных процессов восстановления.) Zbl 1505.60084 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igorevich 3 2020 On large deviations of sums of independent random vectors on the boundary and outside of the Cramér zone. I. Zbl 1201.60025 Borovkov, A. A.; Mogulskii, A. A. 2 2009 Integral and integro-local theorems for the sums of random variables with semiexponential distribution. Zbl 1299.60022 Mogul’skij, A. A. 2 2009 Conditional moderately large deviation principles for the trajectories of random walks and processes with independent increments. Zbl 1340.60020 Borovkov, A. A.; Mogul’skiĭ, A. A. 2 2013 Local theorems for (multidimensional) additive functionals of semi-Markov chains. Zbl 1469.60087 Logachov, Artem; Mogulskii, Anatolii; Prokopenko, Evgeny; Yambartsev, Anatoly 2 2021 Exponential Chebyshev inequalities for random graphons and their applications. Zbl 1448.05180 Logachov, A. V.; Mogulskii, A. A. 2 2020 Local theorems for finite-dimensional increments of compound multidimensional arithmetic renewal processes with light tails. Zbl 1454.60137 Logachëv, Artëm Vasil’evich V.; Mogul’skiĭ, Anatoliĭ Al’fredovich 2 2020 On the probabilities of small deviations for stochastic processes. Zbl 0708.60029 Borovkov, A. A.; Mogul’skij, A. A. 1 1989 Large deviations of the first passage time for a random walk with semiexponentially distributed jumps. Zbl 1150.60006 Mogul’skii, A. A. 1 2006 Factorization identities for processes with independent increments, given on a finite Markov chain. Zbl 0393.60067 Mogul’skij, A. A. 1 1978 Time of first entry into a region with curved boundary. Zbl 0409.60055 Mogul’skij, A. A.; Pecherskij, E. A. 1 1979 A local theorem for the first hitting time of a fixed level by a random walk. Zbl 1125.60306 Mogulskii, A. A.; Rogozin, B. A. 1 2005 Factorization equalities for processes with independent increments defined on a finite Markov chain. Zbl 0326.60086 Mogul’skiĭ, A. A. 1 1974 Large deviations and testing statistical hypotheses. III: Asymptotically optimal tests for composite hypotheses. Zbl 0847.62014 Borovkov, A. A.; Mogul’skij, A. A. 1 1992 Local and integral theorems on large deviations of the maximum point of a sum of random fields. Zbl 0861.60036 Borovkov, A. A.; Mogulskij, A. A. 1 1994 De Finetti-type results for \(l_ p \). Zbl 0778.60013 Mogul’skij, A. A. 1 1991 Local limit theorem for the first crossing time of a fixed level by a random walk. Zbl 1249.60092 Mogul’skij, A. A. 1 2009 Fourier method for determining the asymptotic behavior of small deviations of a Wiener process. Zbl 0519.60082 Mogul’skij, A. A. 1 1983 On moderately large deviations from the invariant measure. Zbl 0542.60030 Mogul’skij, A. A. 1 1984 On the law of iterated logarithm in Chung’s form for functional spaces. Zbl 0398.60031 Mogul’skij, A. A. 1 1979 Large deviation principle for partial sum processes of moving averages. Zbl 1151.60010 Arkashov, N. S.; Borisov, I. S.; Mogul’skii, A. A. 1 2008 The Fourier method for finding the asymptotics of small deviations of a Wiener process. Zbl 0502.60065 Mogul’skij, A. A. 1 1982 Aleksandr Alekseevich Borovkov (on his 70th birthday). Zbl 1052.01518 Borisov, I. S.; Ibragimov, I. A.; Lotov, V. I.; Mogul’skij, A. A.; Prokhorov, Yu. V.; Foss, S. G. 1 2001 A probability inequality for obtaining lower bounds in the large deviation principle. Zbl 0878.60022 Mogul’skij, A. A. 1 1996 Large deviations and testing statistical hypotheses. IV: The statistical invariance principle and the laws of conservation. Zbl 0847.62015 Borovkov, A. A.; Mogul’skij, A. A. 1 1992 Large deviations and statistical invariance principle. Zbl 0778.60016 Borovkov, A. A.; Mogul’skij, A. A. 1 1992 Limit theorems for the maximal path weight in a directed graph on the line with random weights of edges. Zbl 1469.05064 Konstantopoulos, T.; Logachov, A. V.; Mogulskii, A. A.; Foss, S. G. 1 2021 Large deviation principle for terminating multidimensional compound renewal processes with application to polymer pinning models. Zbl 1515.60278 Logachov, A. V.; Mogulskii, A. A.; Prokopenko, E. I. 1 2022 Exponential tightness for integral-type functionals of centered independent differently distributed random variables. Zbl 1500.60027 Logachev, Artem Vasilhevich; Mogulskii, Anatolii Alfredovich 1 2022 Chebyshev-type inequalities and large deviation principles. Zbl 1492.60047 Borovkov, A. A.; Logachov, A. V.; Mogulskii, A. A. 1 2022 Large deviation principle for terminating multidimensional compound renewal processes with application to polymer pinning models. Zbl 1515.60278 Logachov, A. V.; Mogulskii, A. A.; Prokopenko, E. I. 1 2022 Exponential tightness for integral-type functionals of centered independent differently distributed random variables. Zbl 1500.60027 Logachev, Artem Vasilhevich; Mogulskii, Anatolii Alfredovich 1 2022 Chebyshev-type inequalities and large deviation principles. Zbl 1492.60047 Borovkov, A. A.; Logachov, A. V.; Mogulskii, A. A. 1 2022 Extended principle of large deviations for trajectories of a generalized renewal process. Zbl 1507.60115 Mogul’skiĭ, Anatoliĭ Al’fredovich 3 2021 Local theorems for (multidimensional) additive functionals of semi-Markov chains. Zbl 1469.60087 Logachov, Artem; Mogulskii, Anatolii; Prokopenko, Evgeny; Yambartsev, Anatoly 2 2021 Limit theorems for the maximal path weight in a directed graph on the line with random weights of edges. Zbl 1469.05064 Konstantopoulos, T.; Logachov, A. V.; Mogulskii, A. A.; Foss, S. G. 1 2021 Properties of the deviation rate function and the asymptotics for the Laplace transform of the distribution of a compound renewal process. Zbl 1432.60080 Borovkov, A. A.; Mogulskii, A. A.; Prokopenko, E. I. 5 2020 Extended large deviation principle for trajectories of processes with independent and stationary increments on the half-line. Zbl 1447.60056 Klebaner, F. C.; Logachov, A. V.; Mogulskii, A. A. 3 2020 Large deviation principle for finite-dimensional distributions of multidimensional generalized renewal processes. (Принцип больших уклонений для конечномерных распределений многомерных обобщенных процессов восстановления.) Zbl 1505.60084 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igorevich 3 2020 Exponential Chebyshev inequalities for random graphons and their applications. Zbl 1448.05180 Logachov, A. V.; Mogulskii, A. A. 2 2020 Local theorems for finite-dimensional increments of compound multidimensional arithmetic renewal processes with light tails. Zbl 1454.60137 Logachëv, Artëm Vasil’evich V.; Mogul’skiĭ, Anatoliĭ Al’fredovich 2 2020 The rate function and the fundamental function for multidimensional compound renewal process. Zbl 1423.60131 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igor’evich 9 2019 Local theorems for arithmetic compound renewal processes when Cramer’s condition holds. Zbl 1422.60153 Mogulskiĭ, Anatoliĭ Al’fredovich 7 2019 Large deviation principle for multidimensional first compound renewal processes in the phase space. Zbl 1423.60132 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igor’evich 7 2019 Large deviation principle for multidimensional second compound renewal processes in the phase space. Zbl 1423.60133 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igor’evich 6 2019 Local theorems for arithmetic multidimensional compound renewal processes under Cramér’s condition. Zbl 1492.60246 Mogul’skiĭ, Anatoliĭ Al’fredovich; Prokopenko, Evgeniĭ Igorevich 5 2019 Large deviations for processes on half-line: random walk and compound Poisson. Zbl 1420.60039 Klebaner, Fima C.; Mogulskiĭ, Anatoliĭ Al’fredovich 3 2019 Integro-local limit theorems for compound renewal processes under Cramér’s condition. I. Zbl 1404.60128 Borovkov, A. A.; Mogulskii, A. A. 19 2018 Integro-local limit theorems for compound renewal processes under Cramér’s condition. II. Zbl 1404.60129 Borovkov, A. A.; Mogulskii, A. A. 16 2018 Integro-local theorems for multidimensional compound renewal processes, when Cramer’s condition holds. I. Zbl 1395.60102 Mogul’skiĭ, Anatoliĭ Alfredovich; Prokopenko, Evgeniĭ Igor’evich 12 2018 Integro-local theorems for multidimensional compound renewal processes, when Cramer’s condition holds. III. Zbl 1395.60104 Mogul’skiĭ, Anatoliĭ Alfredovich; Prokopenko, Evgeniĭ Igor’evich 11 2018 Integro-local theorems for multidimensional compound renewal processes, when Cramer’s condition holds. II. Zbl 1395.60103 Mogul’skiĭ, Anatoliĭ Alfredovich; Prokopenko, Evgeniĭ Igor’evich 10 2018 Anscombe-type theorem and moderate deviations for trajectories of a compound renewal process. Zbl 1387.60132 Logachov, Artem Vasil’evich; Mogulskii, Anatolii Al’fredovich 5 2018 The extended large deviation principle for a process with independent increments. Zbl 1372.60032 Mogul’skiĭ, A. A. 3 2017 Large deviation principles for trajectories of compound renewal processes. I. Zbl 1341.60009 Borovkov, A. A.; Mogulskii, A. A. 11 2016 Large deviation principles for trajectories of compound renewal processes. II. Zbl 1387.60051 Borovkov, A. A.; Mogulskii, A. A. 7 2016 The large deviation principle for a compound Poisson process. Zbl 1399.60036 Mogul’skiĭ, A. A. 4 2016 Large deviation principles for the finite-dimensional distributions of compound renewal processes. Zbl 1318.60031 Borovkov, A. A.; Mogul’skiĭ, A. A. 20 2015 Large deviations for processes on half-line. Zbl 1329.60055 Klebaner, Fima C.; Logachev, Artem V.; Mogulski, Anatoli A. 3 2015 Large deviation principles for random walk trajectories. III. Zbl 1293.60035 Borovkov, A. A.; Mogulskii, A. A. 7 2014 Large deviations for excursions of non-homogeneous Markov processes. Zbl 1320.60080 Mogulskii, Anatoli; Pechersky, Eugene; Yambartsev, Anatoli 5 2014 Moderately large deviation principles for the trajectories of random walks and processes with independent increments. Zbl 1327.60068 Borovkov, A. A.; Mogulskii, A. A. 4 2014 Large deviation principles for sums of random vectors and the corresponding renewal functions in the inhomogeneous case. Zbl 1374.60032 Borovkov, A. A.; Mogul’skiĭ, A. A. 3 2014 Inequalities and principles of large deviations for the trajectories of processes with independent increments. Zbl 1270.60056 Borovkov, A. A.; Mogul’skiĭ, A. A. 8 2013 Large deviation principles for random walk trajectories. II. Zbl 1279.60037 Borovkov, A. A.; Mogulskii, A. A. 3 2013 Conditional moderately large deviation principles for the trajectories of random walks and processes with independent increments. Zbl 1340.60020 Borovkov, A. A.; Mogul’skiĭ, A. A. 2 2013 Large deviation principles for random walk trajectories. I. Zbl 1267.60029 Borovkov, A. A.; Mogulskii, A. A. 9 2012 Chebyshev-type exponential inequalities for sums of random vectors and for trajectories of random walks. Zbl 1238.60022 Borovkov, A. A.; Mogulskij, A. A. 8 2012 The expansion theorem for the deviation integral. Zbl 1340.60024 Mogul’skiĭ, A. A. 3 2012 Properties of a functional of trajectories which arises in studying the probabilities of large deviations of random walks. Zbl 1238.60034 Borovkov, A. A.; Mogul’skiĭ, A. A. 6 2011 On large deviation principles in metric spaces. Zbl 1225.60051 Borovkov, A. A.; Mogul’skii, A. A. 20 2010 On large deviations of sums of independent random vectors on the boundary and outside of the Cramér zone. I. Zbl 1201.60025 Borovkov, A. A.; Mogulskii, A. A. 2 2009 Integral and integro-local theorems for the sums of random variables with semiexponential distribution. Zbl 1299.60022 Mogul’skij, A. A. 2 2009 Local limit theorem for the first crossing time of a fixed level by a random walk. Zbl 1249.60092 Mogul’skij, A. A. 1 2009 An integro-local theorem applicable on the whole half-axis to the sums of random variables with regularly varying distributions. Zbl 1164.60332 Mogul’skij, A. A. 3 2008 Large deviation principle for partial sum processes of moving averages. Zbl 1151.60010 Arkashov, N. S.; Borisov, I. S.; Mogul’skii, A. A. 1 2008 On large and superlarge deviations of sums of independent random vectors under Cramér’s condition. II. Zbl 1201.60024 Borovkov, A. A.; Mogulskii, A. A. 10 2007 On large and superlarge deviations of sums of independent random vectors under Cramér’s condition. I. Zbl 1137.60011 Borovkov, A. A.; Mogulskii, A. A. 7 2007 Integro-local and integral theorems for sums of random variables with semiexponential distributions. Zbl 1150.60021 Borovkov, A. A.; Mogul’skii, A. A. 11 2006 Integro-local theorems for sums of independent random vectors in the series scheme. Zbl 1114.60037 Borovkov, A. A.; Mogul’skij, A. A. 4 2006 Large deviations of the first passage time for a random walk with semiexponentially distributed jumps. Zbl 1150.60006 Mogul’skii, A. A. 1 2006 A local theorem for the first hitting time of a fixed level by a random walk. Zbl 1125.60306 Mogulskii, A. A.; Rogozin, B. A. 1 2005 Large deviations for Markov chains in the positive quadrant. Zbl 1068.60034 Borovkov, A. A.; Mogul’skii, A. A. 26 2001 Limit theorems in the boundary hitting problem for a multidimensional random walk. Zbl 0983.60011 Borovkov, A. A.; Mogul’skij, A. A. 5 2001 Aleksandr Alekseevich Borovkov (on his 70th birthday). Zbl 1052.01518 Borisov, I. S.; Ibragimov, I. A.; Lotov, V. I.; Mogul’skij, A. A.; Prokhorov, Yu. V.; Foss, S. G. 1 2001 Integro-local limit theorems including large deviations for sums of random vectors. II. Zbl 0980.60030 Borovkov, A. A.; Mogul’skij, A. A. 6 2000 Integro-local limit theorems including large deviations for sums of random vectors. I. Zbl 0927.60040 Borovkov, A. A.; Mogul’skij, A. A. 6 1998 The second rate function and the asymptotic problems of renewal and hitting the boundary for multidimensional random walks. Zbl 0878.60023 Borovkov, A. A.; Mogul’skij, A. A. 23 1996 Large deviations for stationary Markov chains in a quarter plane. Zbl 0970.60029 Borovkov, A. A.; Mogulskii, A. A. 5 1996 A probability inequality for obtaining lower bounds in the large deviation principle. Zbl 0878.60022 Mogul’skij, A. A. 1 1996 Limit theorems for random processes. Zbl 0951.60023 Borovkov, A. A.; Mogul’skij, A. A.; Sakhanenko, A. I. 6 1995 Local and integral theorems on large deviations of the maximum point of a sum of random fields. Zbl 0861.60036 Borovkov, A. A.; Mogulskij, A. A. 1 1994 Large deviations for processes with independent increments. Zbl 0769.60026 Mogulskii, A. A. 33 1993 Large deviations and test of a statistical hypothesis. (Бол’шие уклонения и проверка статистических гипотез.) Zbl 0758.62015 Borovkov, A. A.; Mogul’skiĭ, A. A. 7 1992 Large deviations and testing statistical hypotheses. I: Large deviations of sums of random vectors. Zbl 0847.62012 Borovkov, A. A.; Mogul’skij, A. A. 6 1992 Large deviations and testing statistical hypotheses. II: Large deviations of maximum points of random fields. Zbl 0847.62013 Borovkov, A. A.; Mogul’skij, A. A. 3 1992 Large deviations and testing statistical hypotheses. III: Asymptotically optimal tests for composite hypotheses. Zbl 0847.62014 Borovkov, A. A.; Mogul’skij, A. A. 1 1992 Large deviations and testing statistical hypotheses. IV: The statistical invariance principle and the laws of conservation. Zbl 0847.62015 Borovkov, A. A.; Mogul’skij, A. A. 1 1992 Large deviations and statistical invariance principle. Zbl 0778.60016 Borovkov, A. A.; Mogul’skij, A. A. 1 1992 On probabilities of small deviations for stochastic processes. Zbl 0718.60024 Borovkov, A. A.; Mogul’skij, A. A. 9 1991 Results of the type of de Finetti for \(l_ p\). Zbl 0746.60022 Mogul’skij, A. A. 4 1991 De Finetti-type results for \(l_ p \). Zbl 0778.60013 Mogul’skij, A. A. 1 1991 On the probabilities of small deviations for stochastic processes. Zbl 0708.60029 Borovkov, A. A.; Mogul’skij, A. A. 1 1989 Large deviations for the maximum likelihood estimators. Zbl 0634.62011 Mogulskij, A. A. 3 1988 On moderately large deviations from the invariant measure. Zbl 0542.60030 Mogul’skij, A. A. 1 1984 Fourier method for determining the asymptotic behavior of small deviations of a Wiener process. Zbl 0519.60082 Mogul’skij, A. A. 1 1983 The Fourier method for finding the asymptotics of small deviations of a Wiener process. Zbl 0502.60065 Mogul’skij, A. A. 1 1982 Probabilities of large deviations in topological spaces. II. Zbl 0458.60019 Borovkov, A. A.; Mogul’skij, A. A. 8 1981 On the law of the iterated logarithm in Chung’s form for functional spaces. Zbl 0452.60037 Mogul’skij, A. A. 13 1980 Über die Wahrscheinlichkeiten großer Abweichungen in topologischen Räumen. II. Zbl 0446.60016 Borovkov, A. A.; Mogul’skij, A. A. 7 1980 Probabilities of large deviations in topological spaces. I. Zbl 0413.60021 Borovkov, A. A.; Mogul’skij, A. A. 11 1979 Time of first entry into a region with curved boundary. Zbl 0409.60055 Mogul’skij, A. A.; Pecherskij, E. A. 1 1979 On the law of iterated logarithm in Chung’s form for functional spaces. Zbl 0398.60031 Mogul’skij, A. A. 1 1979 Über die Wahrscheinlichkeiten großer Abweichungen in topologischen Räumen. I. Zbl 0397.60029 Borovkov, A. A.; Mogul’skij, A. A. 5 1978 Factorization identities for processes with independent increments, given on a finite Markov chain. Zbl 0393.60067 Mogul’skij, A. A. 1 1978 Remarks on large deviations for the \(\omega^2\) statistic. Zbl 0375.60034 Mogul’skij, A. A. 4 1977 On the first exit time from a semigroup in \(R^m\) for a random walk. Zbl 0386.60051 Mogul’skij, A. A.; Pecherskij, E. A. 3 1977 Large deviations for trajectories of multi-dimensional random walks. Zbl 0366.60031 Mogul’skij, A. A. 40 1976 On the size of the first jump for a process with independent increments. Zbl 0361.60038 Mogul’skij, A. A. 4 1976 Small deviations in a space of trajectories. Zbl 0326.60061 Mogul’skij, A. A. 29 1974 Factorization equalities for processes with independent increments defined on a finite Markov chain. Zbl 0326.60086 Mogul’skiĭ, A. A. 1 1974 Absolute estimates for moments of certain boundary functionals. Zbl 0298.60031 Mogul’skij, A. A. 8 1973 all cited Publications top 5 cited Publications all top 5 Cited by 284 Authors 38 Mogul’skii, Anatolii Alfredovich 27 Borovkov, Aleksandr Alekseevich 11 Prokopenko, Evgeniĭ Igor’evich 10 Miyazawa, Masakiyo 9 Logachov, Artem Vasilhevich 8 Shi, Zhan 7 Ermakov, Mikhaĭl Sergeevich 7 Yambartsev, Anatoly A. 6 Gao, Fuqing 6 Lotov, Vladimir Ivanovich 6 Rozovskiĭ, Leonid Viktorovich 5 Aurzada, Frank 5 Denisov, Denis E. 5 Mandjes, Michel Robertus Hendrikus 5 Puhalskii, Anatolii A. 4 Arkashov, Nikolay Sergeevich 4 Borovkov, Konstantin A. 4 Eichelsbacher, Peter 4 Foss, Sergey G. 4 Kobayashi, Masahiro 4 Korolyuk, Volodymyr Semenovych 4 Li, Wenbo V. 4 Lifshits, Mikhail A. 4 Majewski, Kurt 4 Samoilenko, Igor V. 4 Vysotsky, Vladislav V. 3 Bakay, Gavriil A. 3 Bakhtin, Viktor Ivanovich 3 Hu, Yueyun 3 Ignatiouk-Robert, Irina 3 Klebaner, Fima C. 3 Linde, Werner 3 Palmowski, Zbigniew 3 Sezer, Ali Devin 3 Shneer, Vsevolod Vladislavovich 3 Suhov, Yurii Mikhailovich 3 Vvedenskaya, Nikita Dmitrievna 3 Wachtel, Vitali I. 3 Zamparo, Marco 3 Zhao, Yiqiang Q. 3 Zwart, Bert P. 2 Aidekon, Elie E. F. 2 Babu, Gutti Jogesh 2 Baldi, Paolo 2 Bazhba, Mihail 2 Beneš, Christian 2 Blanchet, Jose H. 2 Bolthausen, Erwin 2 Chen, Xia 2 Csáki, Endre 2 Daras, Tryfon 2 Dembo, Amir 2 Dieker, A. B. 2 Djellout, Hacène 2 Dunker, Thomas 2 Feng, Shui 2 Frolov, Andreĭ Nikolaevich 2 Funaki, Tadahisa 2 Ganesh, Ayalvadi J. 2 Gantert, Nina 2 Giacomin, Giambattista 2 Inglot, Tadeusz 2 Joutard, Cyrille 2 Kabluchko, Zakhar A. 2 Khodjibaev, Vali Rakhimdjanovich 2 Konstantopoulos, Takis 2 Korshunov, Dmitriĭ Alekseevich 2 Kuelbs, James D. 2 Lacker, Daniel 2 Latouche, Guy 2 Logachova, Olga M. 2 Mallein, Bastien 2 Miao, Yu 2 Nikitin, Yakov Yur’evich 2 O’Connell, Neil 2 Otobe, Tatsushi 2 Ozawa, Toshihisa 2 Prochno, Joscha 2 Rabeherimanana, Toussaint Joseph 2 Rhee, Chang-Han 2 Xue, Xiaofeng 2 Zaitsev, Andrei Yu. 2 Zajic, Tim 2 Zhang, Li-Xin 1 Akopyan, Arseniy V. 1 Alsmeyer, Gerold 1 Anantharam, Venkat 1 Avram, Florin 1 Barral, Julien 1 Barthe, Franck 1 Başoğlu Kabran, Fatma 1 Beibel, Martin 1 Beirlant, Jan 1 Berthet, Philippe 1 Bhaskara Rao, M. 1 Braunsteins, Peter 1 Buchmann, Boris 1 Budhiraja, Amarjit S. 1 Burnashev, Marat V. 1 Bystrov, Aleksandr Aleksandrovich ...and 184 more Authors all top 5 Cited in 86 Serials 31 Stochastic Processes and their Applications 21 Siberian Mathematical Journal 19 Queueing Systems 18 Sibirskie Èlektronnye Matematicheskie Izvestiya 16 Statistics & Probability Letters 15 Theory of Probability and its Applications 11 The Annals of Probability 11 Journal of Theoretical Probability 10 The Annals of Applied Probability 9 Probability Theory and Related Fields 9 Journal of Mathematical Sciences (New York) 8 Journal of Applied Probability 8 Matematicheskie Trudy 6 Problems of Information Transmission 5 Advances in Applied Probability 5 Stochastics and Stochastics Reports 4 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 4 Electronic Communications in Probability 4 Bernoulli 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Journal of Statistical Planning and Inference 3 Theory of Probability and Mathematical Statistics 3 Stochastic Models 2 Lithuanian Mathematical Journal 2 Ukrainian Mathematical Journal 2 The Annals of Statistics 2 Journal of Multivariate Analysis 2 Transactions of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Annals of Operations Research 2 Discrete Mathematics and Applications 2 Electronic Journal of Probability 2 Izvestiya: Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Brazilian Journal of Probability and Statistics 2 Probability Surveys 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Metrika 1 Physica A 1 Russian Mathematical Surveys 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Approximation Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Insurance Mathematics & Economics 1 Stochastic Analysis and Applications 1 Statistics 1 Sequential Analysis 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Science in China. Series A 1 Siberian Advances in Mathematics 1 Communications in Statistics. Theory and Methods 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 SIAM Journal on Optimization 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Mathematical Methods of Statistics 1 Annales Mathématiques Blaise Pascal 1 Top 1 Acta Mathematica Sinica. English Series 1 Probability in the Engineering and Informational Sciences 1 RAIRO. Operations Research 1 Trudy Instituta Matematiki 1 Journal of Applied Mathematics 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Industrial and Management Optimization 1 Stochastics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Electronic Journal of Statistics 1 Science China. Mathematics 1 Stochastic Systems 1 Communications in Mathematics and Statistics 1 Advances in Operator Theory 1 Annales Henri Lebesgue all top 5 Cited in 27 Fields 297 Probability theory and stochastic processes (60-XX) 34 Statistics (62-XX) 24 Operations research, mathematical programming (90-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Combinatorics (05-XX) 7 Convex and discrete geometry (52-XX) 6 Functional analysis (46-XX) 6 Numerical analysis (65-XX) 6 Computer science (68-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year