Edit Profile (opens in new tab) Petrov, Valentin Vladimirovich Compute Distance To: Compute Author ID: petrov.valentin-vladimirovich Published as: Petrov, V. V.; Petrov, Valentin V. External Links: MGP · Math-Net.Ru Documents Indexed: 202 Publications since 1954, including 5 Books 4 Contributions as Editor · 2 Further Contributions Biographic References: 2 Publications Co-Authors: 49 Co-Authors with 70 Joint Publications 1,009 Co-Co-Authors all top 5 Co-Authors 135 single-authored 12 Morozov, Stanislav Fedorovich 9 Ageev, V. M. 8 Martikainen, Alexander I. 7 Zaporozhets, A. V. 6 Uskov, A. S. 4 Lozinskiĭ, Sergeĭ Mikhaĭlovich 4 Pavlova, Nataliya V. 4 Ulanov, G. M. 3 Borevich, Zenon Ivanovich 3 Faddeev, Dmitriĭ Konstantinovich 3 Gordeev, A. A. 3 Ibragimov, Il’dar Abdullovich 3 Malyshev, Aleksandr Vasil’evich 3 Petrov, Boris Nikolaevich 2 Daugavet, A. I. 2 Kochubievskij, I. D. 2 Linnik, Yuriĭ Vladimirovich 2 Nevzorov, Valeriĭ Borisovich 2 Osipov, L. V. 2 Prokhorov, Yuriĭ Vasil’evich 2 Robinson, John 2 Rutkovskiĭ, Vladislav Yul’evich 2 Sapogov, N. A. 1 Amosova, N. N. 1 Borysenko, O. A. 1 Demin, N. S. 1 Gut, Allan 1 Hu, Zhishui 1 Ibragimov, Ibragim Ibishevich 1 Kholyavko, E. I. 1 Korchevsky, Valery M. 1 Kostyukov, V. M. 1 Kozmin, A. G. 1 Ladyzhenskaya, Ol’ga Aleksandrovna 1 Lifshits, Mikhail A. 1 Macht, Wolfgang 1 Marin, N. A. 1 Mikosch, Thomas 1 Molchanov, Stanislav Alekseevich 1 Natanson, Garal’d Isidorovich 1 Nikitin, Yakov Yu. 1 Paditz, Ludwig 1 Petrashen, Georgii Ivanovich 1 Polyakov, I. N. 1 Richter, Wolf-Dieter 1 Romanovskiĭ, Iosif Vladimirovich 1 Sasvári, Zoltán 1 Sazonov, Vyacheslav Vasil’evich 1 Shirokova, I. V. 1 Siegel, Gerhard 1 Smirnov, Vladimir Ivanovich 1 Squartini, N. 1 Svechinsky, V. B. 1 Tsikalov, V. A. 1 Ul’yanov, Vladimir Vasil’evich 1 Unkovskiĭ, V. A. 1 Vallander, S. V. 1 Wolf, Werner 1 Zaitsev, Andrei Yu. 1 Zinger, Abram Aronovich all top 5 Serials 20 Theory of Probability and its Applications 17 Journal of Mathematical Sciences (New York) 16 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 11 Soviet Mathematics. Doklady 10 Teoriya Veroyatnosteĭ i eë Primeneniya 10 Journal of Soviet Mathematics 10 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 7 Soviet Physics. Doklady 6 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 6 Uspekhi Matematicheskikh Nauk [N. S.] 5 Selected Translations in Mathematical Statistics and Probability 5 Vestnik Leningrad University. Mathematics 4 Doklady Akademii Nauk SSSR 4 Statistics & Probability Letters 4 Litovskiĭ Matematicheskiĭ Sbornik 4 Vestnik St. Petersburg University. Mathematics 4 Zapiski Nauchnykh Seminarov POMI 3 Ukraïns’kyĭ Matematychnyĭ Zhurnal 3 Automation and Remote Control 3 Communications in Statistics. Theory and Methods 2 Lithuanian Mathematical Journal 2 Russian Mathematical Surveys 2 Ukrainian Mathematical Journal 2 Soviet Mathematics 1 Mathematical Notes 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 1 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 1 Journal of Statistical Planning and Inference 1 Studia Scientiarum Mathematicarum Hungarica 1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 Proceedings of the National Academy of Sciences of the United States of America 1 Wissenschaftliche Zeitschrift der Technischen Universität Dresden 1 Physics-Doklady 1 Doklady Mathematics 1 Markov Processes and Related Fields 1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Quantitative Finance 1 Dopovidi Akademiï Nauk Ukraïns’koï RSR 1 Izvestiya Akademii Nauk SSSR. Otdelenie Tekhnicheskikh Nauk 1 Ergebnisse der Mathematik und ihrer Grenzgebiete 1 Oxford Studies in Probability all top 5 Fields 121 Probability theory and stochastic processes (60-XX) 16 Systems theory; control (93-XX) 12 Information and communication theory, circuits (94-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Real functions (26-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 1,919 times in 1,739 Documents Cited by ▼ Year ▼ Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60043Petrov, V. V. 688 1975 Limit theorems of probability theory. Sequences of independent random variables. Zbl 0826.60001Petrov, Valentin V. 549 1995 Limit theorems for the sums of independent random variables. (Predel’nye teoremy dlya summ nezavisimykh sluchajnykh velichin). Zbl 0621.60022Petrov, V. V. 96 1987 Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60042Petrov, V. V. 96 1975 On the growth of sums of independent random variables. Zbl 0288.60050Petrov, V. V. 94 1972 On the probabilities of large deviations for sums of independent random variables. Zbl 0235.60028Petrov, V. V. 48 1965 On a relation between an estimate of the remainder in the central limit theorem and the law of the iterated logarithm. Zbl 0203.19602Petrov, V. V. 29 1966 Sums of independent random variables. (Суммы независимых случайных величин) (Summen unabhängiger Zufallsgrößen.) Zbl 0267.60055Petrov, V. V. 27 1972 A generalization of the Borel-Cantelli lemma. Zbl 1101.60300Petrov, Valentin V. 15 2004 A note on the Borel-Cantelli lemma. Zbl 1017.60004Petrov, Valentin V. 13 2002 On an estimate of the concentration function of a sum of independent random variables. Zbl 0235.60024Petrov, V. V. 11 1970 On the strong law of large numbers for sequences of dependent random variables. Zbl 1253.60039Korchevsky, V. M.; Petrov, V. V. 11 2010 On a theorem of Feller. Zbl 0456.60025Martikaĭnen, A. I.; Petrov, V. V. 10 1980 On an estimate of the remainder term in the central limit theorem. Zbl 0185.46801Osipov, L. V.; Petrov, V. V. 10 1967 On the strong law of large numbers. Zbl 0191.47602Petrov, V. V. 9 1969 An estimate of the deviation of the distribution of a sum of independent random variables from the normal law. Zbl 0135.19203Petrov, V. V. 8 1965 On local limit theorems for sums of independent random variables. Zbl 0146.38003Petrov, V. V. 8 1964 On the estimation of the remainder in the central limit theorem. Zbl 0157.25702Osipov, L. V.; Petrov, V. V. 8 1967 A limit theorem for sums of independent, nonidentically distributed random variables. Zbl 0489.60037Petrov, V. V. 7 1982 On the order of growth and sums of dependent variables. Zbl 0295.60020Petrov, V. V. 7 1973 The one-sided strong law of large numbers for ruled sums. Zbl 0303.60026Petrov, V. V. 7 1974 A generalization of an inequality of Levy. Zbl 0349.60001Petrov, V. V. 6 1975 A generalization of Cramer’s limit theorem. Zbl 0147.37002Petrov, V. V. 6 1966 Generalization and improvement of the Bernstein inequality. Zbl 0221.60030Petrov, V. V. 6 1967 On the strong law of large numbers for nonnegative random variables. Zbl 1193.60044Petrov, V. V. 6 2009 Law of the iterated logarithm for sequences of dependent random variables. Zbl 0531.60032Petrov, V. V. 5 1984 Moments of sums of independent random variables. Zbl 0784.60023Petrov, V. V. 5 1989 On the strong law of large numbers. Zbl 0196.20903Petrov, V. V. 5 1969 On necessary and sufficient conditions for the law of the iterated logarithm. Zbl 0377.60036Martikainen, A. I.; Petrov, V. V. 5 1977 On the law of the iterated logarithm for a sequence of independent random variables. Zbl 1032.60029Petrov, V. V. 4 2001 On the Borel-Cantelli lemma. Zbl 0742.60019Martikaĭnen, A. I.; Petrov, V. V. 4 1990 Asymptotic behavior of probabilities of large deviations. Zbl 0185.46602Petrov, V. V. 4 1968 Limit theorems for k-sequences of independent random variables. Zbl 0226.60040Petrov, V. V. 4 1971 On a theorem of Feller. Zbl 0419.60025Martikainen, A. I.; Petrov, V. V. 4 1980 Large deviations for sums of independent non identically distributed random variables. Zbl 1292.60038Petrov, Valentin V.; Robinson, John 3 2008 Sequences of m-orthogonal random variables. Zbl 0494.60032Petrov, V. V. 3 1982 On probabilities of moderate deviations. Zbl 0996.60033Petrov, V. V. 3 1999 Über gewisse Polynome, die in der Wahrscheinlichkeitstheorie vorkommen. Zbl 0128.38003Petrov, V. V. 3 1962 An asymptotic analysis of some limit theorems in probability theory. Zbl 0158.36205Petrov, V. V. 3 1965 On the central limit theorem for m-dependent variables. Zbl 0226.60033Petrov, V. V. 3 1971 Some estimates for sums of dependent random variables which hold almost surely. Zbl 0365.60036Petrov, V. V. 3 1976 On the lower limit of the module of sums of independent random variables. Zbl 0405.60051Petrov, V. V. 3 1978 A remark on the lower limit for the modulus of sums of independent random variables. Zbl 0412.60051Petrov, V. V. 3 1978 On lower bounds for tail probabilities. Zbl 1120.60016Petrov, Valentin V. 3 2007 On large deviations of sums of independent random variables. Zbl 1125.60024Hu, Zhishui; Petrov, Valentin V.; Robinson, John 3 2007 On an estimate of the concentration function of a sum of independent random variables. Zbl 0236.60019Petrov, V. V. 3 1971 Über genaue Abschätzungen in Grenzwertsätzen. Zbl 0066.11206Petrov, V. V. 3 1955 A local theorem for densities of sums of independent random variables. Zbl 0073.12601Petrov, V. V. 3 1956 Advanced theory of characteristic functions. (Teorija harakteristiceskih funkcii.) Übersetzung aus dem Englischen von S. G. Malosevskii und B. P. Timofeev. Herausgegeben von V. V. Petrov. Zbl 0303.60013Ramachandran, B. 3 1975 On the strong law of large numbers for a stationary sequence. Zbl 0303.60032Petrov, V. V. 3 1973 On the growth of sums of measurable functions. Zbl 0342.26001Petrov, V. V. 2 1976 Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables. Zbl 1401.60002Lifshits, M. A.; Nikitin, Ya. Yu.; Petrov, V. V.; Zaitsev, A. Yu.; Zinger, A. A. 2 2018 On the strong law of large numbers for a sequence of dependent random variables. Zbl 1325.60034Petrov, V. V. 2 2014 On the law of iterated logarithm for sequences of dependent random variables. Zbl 0459.60030Petrov, V. V. 2 1980 Some estimates for sums of dependent random variables which hold almost surely. Zbl 0462.60031Petrov, V. V. 2 1981 On the lower limit of the modulus of sums of independent random variables. Zbl 0516.60055Petrov, V. V. 2 1983 Classical-type limit theorems for sums of independent random variables. Zbl 0959.60029Petrov, V. V. 2 2000 On the strong law of large numbers. Zbl 0859.60028Petrov, Valentin V. 2 1996 On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 0164.48205Petrov, V. V. 2 1968 On the distribution of the maximum cumulative sum of independent random variables. Zbl 0204.51203Nevzorov, V. B.; Petrov, V. V. 2 1969 Quasicumulants and limit theorems in case of the Cauchy limiting law. Zbl 1142.60014Molchanov, S. A.; Petrov, V. V.; Squartini, N. 2 2007 A theorem on the law of the iterated logarithm. Zbl 0266.60012Petrov, V. V. 2 1971 Sequences of m-orthogonal random variables. Zbl 0551.60032Petrov, V. V. 1 1984 On a strong limit theorem for sums of independent random variables. Zbl 1014.60028Petrov, Valentin V. 1 2001 Strengthenings of the Lyapunov, Hölder, and Minkowski inequalities. Zbl 1331.60041Petrov, V. V. 1 2015 On the growth of sums of independent random variables. Zbl 1076.60025Petrov, V. V. 1 2002 The growth of sums of indicators of events. Zbl 1074.60044Petrov, V. V. 1 2003 Growth of sums of measurable functions. Zbl 0348.26004Petrov, V. V. 1 1977 On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 1459.60072Petrov, V. V. 1 2020 On the law of the iterated logarithm without assumptions of the existence of moments. Zbl 1066.60035Petrov, V. V. 1 2001 On the law of the iterated logarithm for a sequence of independent random variables with finite variances. Zbl 1066.60036Petrov, V. V. 1 2001 On the strong law of large numbers for a sequence of nonnegative random variables. Zbl 1290.60037Petrov, V. V. 1 2011 On discontinuous solutions of nonregular variational problems. Zbl 0478.49003Morozov, S. F.; Petrov, V. V. 1 1979 Generalizations of Rosenthal’s inequalities. Zbl 0796.60019Petrov, V. V. 1 1992 Limit theorems of the classical type for sums of independent random variables. Zbl 0798.60052Petrov, V. V. 1 1991 On absolute convergence of series of random variables almost surely. Zbl 1381.60080Petrov, V. V. 1 2016 On the law of the iterated logarithm for sequences of dependent random variables. Zbl 1382.60070Petrov, V. V. 1 2017 The strong law of large numbers for a stationary sequence. Zbl 1390.60117Petrov, V. V. 1 2016 On the law of the iterated logarithm. Zbl 0094.32404Petrov, V. V. 1 1960 On a class of limit theorems for independent random variables. Zbl 0095.12702Petrov, V. V. 1 1959 On large deviations of sums of random variables. (Über große Abweichungen bei Summen von Zufallsgrößen.) Zbl 0118.13601Petrov, V. V. 1 1961 Grenzwertsätze für große Abweichungen bei Verletzung der Cramerschen Bedingung. Zbl 0133.41202Petrov, V. V. 1 1963 Asymptotic behavior of probabilities of large deviations. Zbl 0181.45003Petrov, V. V. 1 1968 Letters to the editors. Zbl 0379.60029Martikainen, A. I.; Petrov, V. V. 1 1977 A remark on the lower limit of the modulus of sums of independent random variables. Zbl 0403.60049Petrov, V. V. 1 1978 On the strong law of large numbers for orthogonal random variables. Zbl 0411.60031Petrov, V. V. 1 1977 A limit theorem for sums of independent non-identically distributed random variables. Zbl 0419.60024Petrov, V. V. 1 1979 On estimation of the remainder in the central limit theorem. Zbl 1115.60029Petrov, V. V. 1 2007 A generalization of the Chung-Erdős inequality for the probability of the union of events. Zbl 1115.60020Petrov, V. V. 1 2007 Moments of distributions attracted to stable laws. Zbl 0323.60027Petrov, V. V. 1 1973 An inequality for moments of a random variable. Zbl 0336.60005Petrov, V. V. 1 1975 On stability of sums of nonnegative random variables. Zbl 1180.60031Petrov, V. V. 1 2009 On the Borel-Cantelli lemma. Zbl 0836.60013Martikainen, A. I.; Petrov, V. V. 1 1990 Informational aspects of the regularization problem. Zbl 0269.93080Petrov, V. V.; Uskov, A. S. 1 1970 On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 1459.60072Petrov, V. V. 1 2020 Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables. Zbl 1401.60002Lifshits, M. A.; Nikitin, Ya. Yu.; Petrov, V. V.; Zaitsev, A. Yu.; Zinger, A. A. 2 2018 On the law of the iterated logarithm for sequences of dependent random variables. Zbl 1382.60070Petrov, V. V. 1 2017 On absolute convergence of series of random variables almost surely. Zbl 1381.60080Petrov, V. V. 1 2016 The strong law of large numbers for a stationary sequence. Zbl 1390.60117Petrov, V. V. 1 2016 Strengthenings of the Lyapunov, Hölder, and Minkowski inequalities. Zbl 1331.60041Petrov, V. V. 1 2015 On the strong law of large numbers for a sequence of dependent random variables. Zbl 1325.60034Petrov, V. V. 2 2014 On the strong law of large numbers for a sequence of nonnegative random variables. Zbl 1290.60037Petrov, V. V. 1 2011 On the strong law of large numbers for sequences of dependent random variables. Zbl 1253.60039Korchevsky, V. M.; Petrov, V. V. 11 2010 On the strong law of large numbers for nonnegative random variables. Zbl 1193.60044Petrov, V. V. 6 2009 On stability of sums of nonnegative random variables. Zbl 1180.60031Petrov, V. V. 1 2009 Large deviations for sums of independent non identically distributed random variables. Zbl 1292.60038Petrov, Valentin V.; Robinson, John 3 2008 On lower bounds for tail probabilities. Zbl 1120.60016Petrov, Valentin V. 3 2007 On large deviations of sums of independent random variables. Zbl 1125.60024Hu, Zhishui; Petrov, Valentin V.; Robinson, John 3 2007 Quasicumulants and limit theorems in case of the Cauchy limiting law. Zbl 1142.60014Molchanov, S. A.; Petrov, V. V.; Squartini, N. 2 2007 On estimation of the remainder in the central limit theorem. Zbl 1115.60029Petrov, V. V. 1 2007 A generalization of the Chung-Erdős inequality for the probability of the union of events. Zbl 1115.60020Petrov, V. V. 1 2007 A generalization of the Borel-Cantelli lemma. Zbl 1101.60300Petrov, Valentin V. 15 2004 The growth of sums of indicators of events. Zbl 1074.60044Petrov, V. V. 1 2003 A note on the Borel-Cantelli lemma. Zbl 1017.60004Petrov, Valentin V. 13 2002 On the growth of sums of independent random variables. Zbl 1076.60025Petrov, V. V. 1 2002 On the law of the iterated logarithm for a sequence of independent random variables. Zbl 1032.60029Petrov, V. V. 4 2001 On a strong limit theorem for sums of independent random variables. Zbl 1014.60028Petrov, Valentin V. 1 2001 On the law of the iterated logarithm without assumptions of the existence of moments. Zbl 1066.60035Petrov, V. V. 1 2001 On the law of the iterated logarithm for a sequence of independent random variables with finite variances. Zbl 1066.60036Petrov, V. V. 1 2001 Classical-type limit theorems for sums of independent random variables. Zbl 0959.60029Petrov, V. V. 2 2000 On probabilities of moderate deviations. Zbl 0996.60033Petrov, V. V. 3 1999 On the strong law of large numbers. Zbl 0859.60028Petrov, Valentin V. 2 1996 Limit theorems of probability theory. Sequences of independent random variables. Zbl 0826.60001Petrov, Valentin V. 549 1995 Generalizations of Rosenthal’s inequalities. Zbl 0796.60019Petrov, V. V. 1 1992 Limit theorems of the classical type for sums of independent random variables. Zbl 0798.60052Petrov, V. V. 1 1991 On the Borel-Cantelli lemma. Zbl 0742.60019Martikaĭnen, A. I.; Petrov, V. V. 4 1990 On the Borel-Cantelli lemma. Zbl 0836.60013Martikainen, A. I.; Petrov, V. V. 1 1990 Moments of sums of independent random variables. Zbl 0784.60023Petrov, V. V. 5 1989 Limit theorems for the sums of independent random variables. (Predel’nye teoremy dlya summ nezavisimykh sluchajnykh velichin). Zbl 0621.60022Petrov, V. V. 96 1987 Law of the iterated logarithm for sequences of dependent random variables. Zbl 0531.60032Petrov, V. V. 5 1984 Sequences of m-orthogonal random variables. Zbl 0551.60032Petrov, V. V. 1 1984 On the lower limit of the modulus of sums of independent random variables. Zbl 0516.60055Petrov, V. V. 2 1983 A limit theorem for sums of independent, nonidentically distributed random variables. Zbl 0489.60037Petrov, V. V. 7 1982 Sequences of m-orthogonal random variables. Zbl 0494.60032Petrov, V. V. 3 1982 Some estimates for sums of dependent random variables which hold almost surely. Zbl 0462.60031Petrov, V. V. 2 1981 On a theorem of Feller. Zbl 0456.60025Martikaĭnen, A. I.; Petrov, V. V. 10 1980 On a theorem of Feller. Zbl 0419.60025Martikainen, A. I.; Petrov, V. V. 4 1980 On the law of iterated logarithm for sequences of dependent random variables. Zbl 0459.60030Petrov, V. V. 2 1980 On discontinuous solutions of nonregular variational problems. Zbl 0478.49003Morozov, S. F.; Petrov, V. V. 1 1979 A limit theorem for sums of independent non-identically distributed random variables. Zbl 0419.60024Petrov, V. V. 1 1979 On the lower limit of the module of sums of independent random variables. Zbl 0405.60051Petrov, V. V. 3 1978 A remark on the lower limit for the modulus of sums of independent random variables. Zbl 0412.60051Petrov, V. V. 3 1978 A remark on the lower limit of the modulus of sums of independent random variables. Zbl 0403.60049Petrov, V. V. 1 1978 On necessary and sufficient conditions for the law of the iterated logarithm. Zbl 0377.60036Martikainen, A. I.; Petrov, V. V. 5 1977 Growth of sums of measurable functions. Zbl 0348.26004Petrov, V. V. 1 1977 Letters to the editors. Zbl 0379.60029Martikainen, A. I.; Petrov, V. V. 1 1977 On the strong law of large numbers for orthogonal random variables. Zbl 0411.60031Petrov, V. V. 1 1977 Some estimates for sums of dependent random variables which hold almost surely. Zbl 0365.60036Petrov, V. V. 3 1976 On the growth of sums of measurable functions. Zbl 0342.26001Petrov, V. V. 2 1976 Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60043Petrov, V. V. 688 1975 Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60042Petrov, V. V. 96 1975 A generalization of an inequality of Levy. Zbl 0349.60001Petrov, V. V. 6 1975 Advanced theory of characteristic functions. (Teorija harakteristiceskih funkcii.) Übersetzung aus dem Englischen von S. G. Malosevskii und B. P. Timofeev. Herausgegeben von V. V. Petrov. Zbl 0303.60013Ramachandran, B. 3 1975 An inequality for moments of a random variable. Zbl 0336.60005Petrov, V. V. 1 1975 The one-sided strong law of large numbers for ruled sums. Zbl 0303.60026Petrov, V. V. 7 1974 On the order of growth and sums of dependent variables. Zbl 0295.60020Petrov, V. V. 7 1973 On the strong law of large numbers for a stationary sequence. Zbl 0303.60032Petrov, V. V. 3 1973 Moments of distributions attracted to stable laws. Zbl 0323.60027Petrov, V. V. 1 1973 On the growth of sums of independent random variables. Zbl 0288.60050Petrov, V. V. 94 1972 Sums of independent random variables. (Суммы независимых случайных величин) (Summen unabhängiger Zufallsgrößen.) Zbl 0267.60055Petrov, V. V. 27 1972 Limit theorems for k-sequences of independent random variables. Zbl 0226.60040Petrov, V. V. 4 1971 On the central limit theorem for m-dependent variables. Zbl 0226.60033Petrov, V. V. 3 1971 On an estimate of the concentration function of a sum of independent random variables. Zbl 0236.60019Petrov, V. V. 3 1971 A theorem on the law of the iterated logarithm. Zbl 0266.60012Petrov, V. V. 2 1971 On an estimate of the concentration function of a sum of independent random variables. Zbl 0235.60024Petrov, V. V. 11 1970 Informational aspects of the regularization problem. Zbl 0269.93080Petrov, V. V.; Uskov, A. S. 1 1970 On the strong law of large numbers. Zbl 0191.47602Petrov, V. V. 9 1969 On the strong law of large numbers. Zbl 0196.20903Petrov, V. V. 5 1969 On the distribution of the maximum cumulative sum of independent random variables. Zbl 0204.51203Nevzorov, V. B.; Petrov, V. V. 2 1969 Asymptotic behavior of probabilities of large deviations. Zbl 0185.46602Petrov, V. V. 4 1968 On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 0164.48205Petrov, V. V. 2 1968 Asymptotic behavior of probabilities of large deviations. Zbl 0181.45003Petrov, V. V. 1 1968 On an estimate of the remainder term in the central limit theorem. Zbl 0185.46801Osipov, L. V.; Petrov, V. V. 10 1967 On the estimation of the remainder in the central limit theorem. Zbl 0157.25702Osipov, L. V.; Petrov, V. V. 8 1967 Generalization and improvement of the Bernstein inequality. Zbl 0221.60030Petrov, V. V. 6 1967 On a relation between an estimate of the remainder in the central limit theorem and the law of the iterated logarithm. Zbl 0203.19602Petrov, V. V. 29 1966 A generalization of Cramer’s limit theorem. Zbl 0147.37002Petrov, V. V. 6 1966 On the probabilities of large deviations for sums of independent random variables. Zbl 0235.60028Petrov, V. V. 48 1965 An estimate of the deviation of the distribution of a sum of independent random variables from the normal law. Zbl 0135.19203Petrov, V. V. 8 1965 An asymptotic analysis of some limit theorems in probability theory. Zbl 0158.36205Petrov, V. V. 3 1965 On local limit theorems for sums of independent random variables. Zbl 0146.38003Petrov, V. V. 8 1964 Grenzwertsätze für große Abweichungen bei Verletzung der Cramerschen Bedingung. Zbl 0133.41202Petrov, V. V. 1 1963 Über gewisse Polynome, die in der Wahrscheinlichkeitstheorie vorkommen. Zbl 0128.38003Petrov, V. V. 3 1962 On large deviations of sums of random variables. (Über große Abweichungen bei Summen von Zufallsgrößen.) Zbl 0118.13601Petrov, V. V. 1 1961 On the law of the iterated logarithm. Zbl 0094.32404Petrov, V. V. 1 1960 On a class of limit theorems for independent random variables. Zbl 0095.12702Petrov, V. V. 1 1959 A local theorem for densities of sums of independent random variables. Zbl 0073.12601Petrov, V. V. 3 1956 Über genaue Abschätzungen in Grenzwertsätzen. Zbl 0066.11206Petrov, V. V. 3 1955 all cited Publications top 5 cited Publications all top 5 Cited by 1,665 Authors 33 Petrov, Valentin Vladimirovich 31 Mikosch, Thomas 30 Horváth, Lajos 27 Götze, Friedrich 24 Rozovskiĭ, Leonid Viktorovich 18 Bobkov, Sergey Germanovich 18 Zaitsev, Andrei Yu. 16 Berkes, István 16 Hall, Peter Gavin 16 Manstavičius, Eugenijus 16 Rosalsky, Andrew 15 Chistyakov, Gennadiy P. 14 Bentkus, Vidmants-Kastytis 14 Li, Deli 13 Hu, Shuhe 13 Klesov, Oleg I. 13 Shao, Qi-Man 12 Liang, Hanying 12 Samorodnitsky, Gennady Pinkhosovich 11 Korolev, Viktor Yur’evich 11 Liu, Quansheng 11 Zhang, Li-Xin 10 Chen, Pingyan 10 Sunklodas, Jonas Kazys 10 Wang, Xuejun 9 Csáki, Endre 9 Devroye, Luc P. J. A. 9 Grama, Ion G. 9 Johannes, Jan 9 Kabluchko, Zakhar A. 9 Matsak, Ivan K. 9 Paulauskas, Vygantas Ionovič 9 Spătaru, Aurel 8 Borisov, Igor S. 8 Chesneau, Christophe 8 Frolov, Andreĭ Nikolaevich 8 Gut, Allan 8 Hu, Yueyun 8 Korchevsky, Valery M. 8 Qi, Yongcheng 7 Aue, Alexander 7 Egorov, V. A. 7 Hu, Zhishui 7 Hušková, Marie 7 Lin, Zhengyan 7 Nagaev, Sergey Victorovich 7 Račkauskas, Alfredas Yurgevich 7 Shi, Zhan 7 Steinebach, Josef G. 7 Szewczak, Zbigniew Stanisław 7 Tsybakov, Alexandre B. 7 Wang, Qiying 7 Zitikis, Ričardas 6 Adell, José Antonio 6 Amosova, N. N. 6 Braverman, Michael Sh. 6 Cai, Guanghui 6 Čekanavičius, Vydas 6 Dolera, Emanuele 6 Fan, Xiequan 6 Gimadi, Edward Khairutdinovich 6 Leonenko, Nikolai N. 6 Lita da Silva, João 6 Marckert, Jean-François 6 Martikainen, Alexander I. 6 Robinson, John 6 Shevtsova, I. G. 6 Šiaulys, Jonas 6 Stadtmüller, Ulrich 6 Su, Chun 6 Wachtel, Vitali I. 6 Weber, Michel Jean Georges 6 Yang, Wenzhi 5 Aleškevičienė, Aldona K. 5 Bening, Vladimir E. 5 Bingham, Nicholas Hugh 5 Bloznelis, Mindaugas 5 Borovkov, Aleksandr Alekseevich 5 Choi, Yong-Kab 5 Cohn, Harry 5 Comte, Fabienne 5 Csörgő, Miklós 5 Gribkova, Nadezhda Viktorovna 5 Heinrich, Lothar 5 Hörmann, Siegfried 5 Hu, Tienchung 5 Jing, Bingyi 5 Khartov, Alekseĭ Andreevich 5 Kokoszka, Piotr S. 5 Lifshits, Mikhail A. 5 Maller, Ross Arthur 5 Mattner, Lutz 5 Rio, Emmanuel 5 Seoh, Munsup 5 Wang, Yuebao 5 Wintenberger, Olivier 5 Wu, Yuehua 4 Ahmad, Ibrahim A. 4 Alvarez-Andrade, Sergio 4 Bai, Zhi-Dong ...and 1,565 more Authors all top 5 Cited in 253 Serials 144 Lithuanian Mathematical Journal 120 Statistics & Probability Letters 83 Journal of Mathematical Sciences (New York) 68 Stochastic Processes and their Applications 59 The Annals of Probability 57 Journal of Soviet Mathematics 57 Journal of Statistical Planning and Inference 47 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 47 Probability Theory and Related Fields 44 Mathematical Notes 42 The Annals of Statistics 40 Journal of Theoretical Probability 35 Journal of Multivariate Analysis 34 The Annals of Applied Probability 33 Communications in Statistics. Theory and Methods 33 Bernoulli 27 Journal of Mathematical Analysis and Applications 25 Siberian Mathematical Journal 24 Theory of Probability and its Applications 22 Ukrainian Mathematical Journal 20 Journal of Statistical Physics 20 Annals of the Institute of Statistical Mathematics 19 Journal of Applied Probability 16 Vestnik St. Petersburg University. Mathematics 15 Advances in Applied Probability 15 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 15 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 14 Mathematical Methods of Statistics 12 Communications in Mathematical Physics 12 Acta Mathematicae Applicatae Sinica. English Series 12 Statistics 12 Electronic Journal of Statistics 11 Metrika 11 Stochastic Analysis and Applications 11 Journal of Nonparametric Statistics 10 Science in China. Series A 10 Acta Mathematica Sinica. English Series 9 Transactions of the American Mathematical Society 9 Acta Mathematica Hungarica 9 Electronic Journal of Probability 9 Journal of Inequalities and Applications 8 Proceedings of the American Mathematical Society 8 Science China. Mathematics 7 Journal of Econometrics 7 Insurance Mathematics & Economics 7 Test 7 Russian Physics Journal 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Theoretical and Mathematical Physics 6 Journal of Approximation Theory 6 Theory of Probability and Mathematical Statistics 6 Methodology and Computing in Applied Probability 6 Modern Stochastics. Theory and Applications 5 Discrete Applied Mathematics 5 Kybernetika 5 Sequential Analysis 5 Journal of Complexity 5 Queueing Systems 5 Discrete Mathematics and Applications 5 Statistical Papers 4 Journal d’Analyse Mathématique 4 Journal of Functional Analysis 4 Scandinavian Actuarial Journal 4 Acta Applicandae Mathematicae 4 Applied Mathematics Letters 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Extremes 3 Journal of Mathematical Physics 3 Periodica Mathematica Hungarica 3 Stochastics 3 International Journal of Mathematics and Mathematical Sciences 3 Mathematics and Computers in Simulation 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Advances in Applied Mathematics 3 Journal of Time Series Analysis 3 Journal of Statistical Computation and Simulation 3 Acta Mathematica Sinica. New Series 3 Cybernetics and Systems Analysis 3 Applied Mathematics. Series B (English Edition) 3 Doklady Mathematics 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Econometric Theory 3 Foundations of Computational Mathematics 3 Statistical Methodology 3 Journal of the Korean Statistical Society 3 Proceedings of the Steklov Institute of Mathematics 3 Frontiers of Mathematics in China 3 Journal of Statistical Theory and Practice 3 Sankhyā. Series A 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Mathematical Methods in the Applied Sciences 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Scandinavian Journal of Statistics 2 Arkiv för Matematik 2 Mathematics of Computation 2 Acta Arithmetica 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 153 more Serials all top 5 Cited in 50 Fields 1,282 Probability theory and stochastic processes (60-XX) 542 Statistics (62-XX) 69 Statistical mechanics, structure of matter (82-XX) 54 Numerical analysis (65-XX) 49 Combinatorics (05-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Number theory (11-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 27 Computer science (68-XX) 27 Operations research, mathematical programming (90-XX) 26 Approximations and expansions (41-XX) 22 Partial differential equations (35-XX) 19 Measure and integration (28-XX) 16 Real functions (26-XX) 16 Functional analysis (46-XX) 16 Differential geometry (53-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Biology and other natural sciences (92-XX) 12 Operator theory (47-XX) 11 Relativity and gravitational theory (83-XX) 8 History and biography (01-XX) 8 Systems theory; control (93-XX) 8 Information and communication theory, circuits (94-XX) 7 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 6 Sequences, series, summability (40-XX) 6 Convex and discrete geometry (52-XX) 5 Abstract harmonic analysis (43-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Quantum theory (81-XX) 4 Group theory and generalizations (20-XX) 4 Integral transforms, operational calculus (44-XX) 4 Fluid mechanics (76-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year