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Petrov, Valentin Vladimirovich

Author ID: petrov.valentin-vladimirovich Recent zbMATH articles by "Petrov, Valentin Vladimirovich"
Published as: Petrov, V. V.; Petrov, Valentin V.
External Links: MGP · Math-Net.Ru
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 Christoph, Gerd
1 Demin, N. S.
1 Gut, Allan
1 Heinrich, Lothar
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 Yur’evich
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, Nicola
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.]
6 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

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 2,329 times in 2,086 Documents Cited by Year
Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60043
Petrov, V. V.
777
1975
Limit theorems of probability theory. Sequences of independent random variables. Zbl 0826.60001
Petrov, Valentin V.
680
1995
Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60042
Petrov, V. V.
163
1975
Limit theorems for the sums of independent random variables. (Predel’nye teoremy dlya summ nezavisimykh sluchajnykh velichin). Zbl 0621.60022
Petrov, V. V.
110
1987
On the growth of sums of independent random variables. Zbl 0288.60050
Petrov, V. V.
97
1972
On the probabilities of large deviations for sums of independent random variables. Zbl 0235.60028
Petrov, V. V.
68
1965
Sums of independent random variables. (Суммы независимых случайных величин) (Summen unabhängiger Zufallsgrößen.) Zbl 0267.60055
Petrov, V. V.
33
1972
On a relation between an estimate of the remainder in the central limit theorem and the law of the iterated logarithm. Zbl 0203.19602
Petrov, V. V.
29
1966
A note on the Borel-Cantelli lemma. Zbl 1017.60004
Petrov, Valentin V.
21
2002
Eine Verallgemeinerung des Cramerschen Grenzwertsatzes. Zbl 0056.36002
Petrov, V. V.
20
1954
A generalization of the Borel-Cantelli lemma. Zbl 1101.60300
Petrov, Valentin V.
19
2004
An estimate of the deviation of the distribution of a sum of independent random variables from the normal law. Zbl 0135.19203
Petrov, V. V.
15
1965
On the strong law of large numbers for sequences of dependent random variables. Zbl 1253.60039
Korchevsky, V. M.; Petrov, V. V.
13
2010
On local limit theorems for sums of independent random variables. Zbl 0146.38003
Petrov, V. V.
11
1964
On an estimate of the concentration function of a sum of independent random variables. Zbl 0235.60024
Petrov, V. V.
11
1970
On a theorem of Feller. Zbl 0456.60025
Martikaĭnen, A. I.; Petrov, V. V.
10
1980
On an estimate of the remainder term in the central limit theorem. Zbl 0185.46801
Osipov, L. V.; Petrov, V. V.
10
1967
On the strong law of large numbers. Zbl 0191.47602
Petrov, V. V.
9
1969
On the order of growth and sums of dependent variables. Zbl 0295.60020
Petrov, V. V.
9
1973
A limit theorem for sums of independent, nonidentically distributed random variables. Zbl 0489.60037
Petrov, V. V.
8
1982
On the estimation of the remainder in the central limit theorem. Zbl 0157.25702
Osipov, L. V.; Petrov, V. V.
8
1967
A generalization of an inequality of Levy. Zbl 0349.60001
Petrov, V. V.
7
1975
The one-sided strong law of large numbers for ruled sums. Zbl 0303.60026
Petrov, V. V.
7
1974
Large deviations for sums of independent non identically distributed random variables. Zbl 1292.60038
Petrov, Valentin V.; Robinson, John
7
2008
On lower bounds for tail probabilities. Zbl 1120.60016
Petrov, Valentin V.
7
2007
On the strong law of large numbers for nonnegative random variables. Zbl 1193.60044
Petrov, V. V.
7
2009
A generalization of Cramer’s limit theorem. Zbl 0147.37002
Petrov, V. V.
6
1966
On the strong law of large numbers. Zbl 0196.20903
Petrov, V. V.
6
1969
Generalization and improvement of the Bernstein inequality. Zbl 0221.60030
Petrov, V. V.
6
1967
Moments of sums of independent random variables. Zbl 0784.60023
Petrov, V. V.
6
1989
Law of the iterated logarithm for sequences of dependent random variables. Zbl 0531.60032
Petrov, V. V.
5
1984
Some estimates for sums of dependent random variables which hold almost surely. Zbl 0365.60036
Petrov, V. V.
5
1976
On necessary and sufficient conditions for the law of the iterated logarithm. Zbl 0377.60036
Martikainen, A. I.; Petrov, V. V.
5
1977
On the strong law of large numbers for a stationary sequence. Zbl 0303.60032
Petrov, V. V.
5
1973
On the law of the iterated logarithm for a sequence of independent random variables. Zbl 1032.60029
Petrov, V. V.
4
2001
On the Borel-Cantelli lemma. Zbl 0742.60019
Martikaĭnen, A. I.; Petrov, V. V.
4
1990
On a theorem of Feller. Zbl 0419.60025
Martikainen, A. I.; Petrov, V. V.
4
1980
Asymptotic behavior of probabilities of large deviations. Zbl 0185.46602
Petrov, V. V.
4
1968
A generalization of the Chung-Erdős inequality for the probability of the union of events. Zbl 1115.60020
Petrov, V. V.
4
2007
Limit theorems for k-sequences of independent random variables. Zbl 0226.60040
Petrov, V. V.
4
1971
Classical-type limit theorems for sums of independent random variables. Zbl 0959.60029
Petrov, V. V.
3
2000
On the lower limit of the module of sums of independent random variables. Zbl 0405.60051
Petrov, V. V.
3
1978
On large deviations of sums of independent random variables. Zbl 1125.60024
Hu, Zhishui; Petrov, Valentin V.; Robinson, John
3
2007
On probabilities of moderate deviations. Zbl 0996.60033
Petrov, V. V.
3
1999
Über genaue Abschätzungen in Grenzwertsätzen. Zbl 0066.11206
Petrov, V. V.
3
1955
A local theorem for densities of sums of independent random variables. Zbl 0073.12601
Petrov, V. V.
3
1956
A remark on the lower limit for the modulus of sums of independent random variables. Zbl 0412.60051
Petrov, V. V.
3
1978
Über gewisse Polynome, die in der Wahrscheinlichkeitstheorie vorkommen. Zbl 0128.38003
Petrov, V. V.
3
1962
An asymptotic analysis of some limit theorems in probability theory. Zbl 0158.36205
Petrov, V. V.
3
1965
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 0303.60013
Ramachandran, B.
3
1975
Sequences of m-orthogonal random variables. Zbl 0494.60032
Petrov, V. V.
3
1982
The growth of sums of indicators of events. Zbl 1074.60044
Petrov, V. V.
3
2003
On the central limit theorem for m-dependent variables. Zbl 0226.60033
Petrov, V. V.
3
1971
On an estimate of the concentration function of a sum of independent random variables. Zbl 0236.60019
Petrov, V. V.
3
1971
On the strong law of large numbers. Zbl 0859.60028
Petrov, Valentin V.
2
1996
On the lower limit of the modulus of sums of independent random variables. Zbl 0516.60055
Petrov, V. V.
2
1983
Some estimates for sums of dependent random variables which hold almost surely. Zbl 0462.60031
Petrov, V. V.
2
1981
A theorem on the law of the iterated logarithm. Zbl 0266.60012
Petrov, V. V.
2
1971
On the growth of sums of measurable functions. Zbl 0342.26001
Petrov, V. V.
2
1976
On the strong law of large numbers for orthogonal random variables. Zbl 0411.60031
Petrov, V. V.
2
1977
On the law of iterated logarithm for sequences of dependent random variables. Zbl 0459.60030
Petrov, V. V.
2
1980
Quasicumulants and limit theorems in case of the Cauchy limiting law. Zbl 1142.60014
Molchanov, S. A.; Petrov, V. V.; Squartini, N.
2
2007
Grenzwertsätze für große Abweichungen bei Verletzung der Cramerschen Bedingung. Zbl 0133.41202
Petrov, V. V.
2
1963
On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 0164.48205
Petrov, V. V.
2
1968
Asymptotic behavior of probabilities of large deviations. Zbl 0181.45003
Petrov, V. V.
2
1968
On the distribution of the maximum cumulative sum of independent random variables. Zbl 0204.51203
Nevzorov, V. B.; Petrov, V. V.
2
1969
Moments of distributions attracted to stable laws. Zbl 0323.60027
Petrov, V. V.
2
1973
An inequality for moments of a random variable. Zbl 0336.60005
Petrov, V. V.
2
1975
On the strong law of large numbers for a sequence of dependent random variables. Zbl 1325.60034
Petrov, V. V.
2
2014
On the law of the iterated logarithm for sequences of dependent random variables. Zbl 1382.60070
Petrov, V. V.
2
2017
Strengthenings of the Lyapunov, Hölder, and Minkowski inequalities. Zbl 1331.60041
Petrov, V. V.
2
2015
Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables. Zbl 1401.60002
Lifshits, M. A.; Nikitin, Ya. Yu.; Petrov, V. V.; Zaitsev, A. Yu.; Zinger, A. A.
2
2018
On the Borel-Cantelli lemma. Zbl 0836.60013
Martikainen, A. I.; Petrov, V. V.
1
1990
Rings and modules. Limit theorems of probability theory. No. 2. (Кольца и модули. Предельные теоремы теории вероятностей. Вып. 2.) Zbl 0701.00009
1
1988
On the law of the iterated logarithm without assumptions of the existence of moments. Zbl 1066.60035
Petrov, V. V.
1
2001
On the law of the iterated logarithm for a sequence of independent random variables with finite variances. Zbl 1066.60036
Petrov, V. V.
1
2001
Sequences of m-orthogonal random variables. Zbl 0551.60032
Petrov, V. V.
1
1984
On discontinuous solutions of nonregular variational problems. Zbl 0478.49003
Morozov, S. F.; Petrov, V. V.
1
1979
On a strong limit theorem for sums of independent random variables. Zbl 1014.60028
Petrov, Valentin V.
1
2001
Informational aspects of the regularization problem. Zbl 0269.93080
Petrov, V. V.; Uskov, A. S.
1
1970
Growth of sums of measurable functions. Zbl 0348.26004
Petrov, V. V.
1
1977
The similarity of sliding, vibrational and optimal conditions of motion in servomechanisms. Zbl 0077.11902
Petrov, V. V.; Ulanov, G. M.
1
1957
Asymptotische Entwicklungen für die Ableitungen der Verteilungsfunktionen einer Summe von unabhängigen Summanden. Zbl 0095.33102
Petrov, V. V.
1
1960
Inequalities for the maximum of partial sums of random variables and the law of the iterated logarithm. Zbl 0652.60024
Petrov, V. V.
1
1987
A limit theorem for sums of independent non-identically distributed random variables. Zbl 0419.60024
Petrov, V. V.
1
1979
On large deviations of sums of random variables. (Über große Abweichungen bei Summen von Zufallsgrößen.) Zbl 0118.13601
Petrov, V. V.
1
1961
Grenzwertsätze für große Abweichungen bei Verletzung der Cramerschen Bedingungen. II. Zbl 0166.14304
Petrov, V. V.
1
1964
On stability of sums of nonnegative random variables. Zbl 1180.60031
Petrov, V. V.
1
2009
On estimation of the remainder in the central limit theorem. Zbl 1115.60029
Petrov, V. V.
1
2007
Letters to the editors. Zbl 0379.60029
Martikainen, A. I.; Petrov, V. V.
1
1977
A remark on the lower limit of the modulus of sums of independent random variables. Zbl 0403.60049
Petrov, V. V.
1
1978
On the strong law of large numbers for a sequence of nonnegative random variables. Zbl 1290.60037
Petrov, V. V.
1
2011
On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 1459.60072
Petrov, V. V.
1
2020
The strong law of large numbers for a stationary sequence. Zbl 1390.60117
Petrov, V. V.
1
2016
On absolute convergence of series of random variables almost surely. Zbl 1381.60080
Petrov, V. V.
1
2016
On the growth of sums of independent random variables. Zbl 1076.60025
Petrov, V. V.
1
2002
Über die Methode der kleinsten Quadrate und ihre Extremaleigenschaften. Zbl 0055.37605
Petrov, V. V.
1
1954
On the law of the iterated logarithm. Zbl 0094.32404
Petrov, V. V.
1
1960
Asymptotic expansions for distributions of sums of independent random variables. Zbl 0100.34504
Petrov, V. V.
1
1959
On a class of limit theorems for independent random variables. Zbl 0095.12702
Petrov, V. V.
1
1959
On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 1459.60072
Petrov, 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 1401.60002
Lifshits, 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 1382.60070
Petrov, V. V.
2
2017
The strong law of large numbers for a stationary sequence. Zbl 1390.60117
Petrov, V. V.
1
2016
On absolute convergence of series of random variables almost surely. Zbl 1381.60080
Petrov, V. V.
1
2016
Strengthenings of the Lyapunov, Hölder, and Minkowski inequalities. Zbl 1331.60041
Petrov, V. V.
2
2015
On the strong law of large numbers for a sequence of dependent random variables. Zbl 1325.60034
Petrov, V. V.
2
2014
On the strong law of large numbers for a sequence of nonnegative random variables. Zbl 1290.60037
Petrov, V. V.
1
2011
On the strong law of large numbers for sequences of dependent random variables. Zbl 1253.60039
Korchevsky, V. M.; Petrov, V. V.
13
2010
On the strong law of large numbers for nonnegative random variables. Zbl 1193.60044
Petrov, V. V.
7
2009
On stability of sums of nonnegative random variables. Zbl 1180.60031
Petrov, V. V.
1
2009
Large deviations for sums of independent non identically distributed random variables. Zbl 1292.60038
Petrov, Valentin V.; Robinson, John
7
2008
On lower bounds for tail probabilities. Zbl 1120.60016
Petrov, Valentin V.
7
2007
A generalization of the Chung-Erdős inequality for the probability of the union of events. Zbl 1115.60020
Petrov, V. V.
4
2007
On large deviations of sums of independent random variables. Zbl 1125.60024
Hu, Zhishui; Petrov, Valentin V.; Robinson, John
3
2007
Quasicumulants and limit theorems in case of the Cauchy limiting law. Zbl 1142.60014
Molchanov, S. A.; Petrov, V. V.; Squartini, N.
2
2007
On estimation of the remainder in the central limit theorem. Zbl 1115.60029
Petrov, V. V.
1
2007
A generalization of the Borel-Cantelli lemma. Zbl 1101.60300
Petrov, Valentin V.
19
2004
The growth of sums of indicators of events. Zbl 1074.60044
Petrov, V. V.
3
2003
A note on the Borel-Cantelli lemma. Zbl 1017.60004
Petrov, Valentin V.
21
2002
On the growth of sums of independent random variables. Zbl 1076.60025
Petrov, V. V.
1
2002
On the law of the iterated logarithm for a sequence of independent random variables. Zbl 1032.60029
Petrov, V. V.
4
2001
On the law of the iterated logarithm without assumptions of the existence of moments. Zbl 1066.60035
Petrov, V. V.
1
2001
On the law of the iterated logarithm for a sequence of independent random variables with finite variances. Zbl 1066.60036
Petrov, V. V.
1
2001
On a strong limit theorem for sums of independent random variables. Zbl 1014.60028
Petrov, Valentin V.
1
2001
Classical-type limit theorems for sums of independent random variables. Zbl 0959.60029
Petrov, V. V.
3
2000
On probabilities of moderate deviations. Zbl 0996.60033
Petrov, V. V.
3
1999
On the strong law of large numbers. Zbl 0859.60028
Petrov, Valentin V.
2
1996
Limit theorems of probability theory. Sequences of independent random variables. Zbl 0826.60001
Petrov, Valentin V.
680
1995
Generalizations of Rosenthal’s inequalities. Zbl 0796.60019
Petrov, V. V.
1
1992
Limit theorems of the classical type for sums of independent random variables. Zbl 0798.60052
Petrov, V. V.
1
1991
On the Borel-Cantelli lemma. Zbl 0742.60019
Martikaĭnen, A. I.; Petrov, V. V.
4
1990
On the Borel-Cantelli lemma. Zbl 0836.60013
Martikainen, A. I.; Petrov, V. V.
1
1990
Moments of sums of independent random variables. Zbl 0784.60023
Petrov, V. V.
6
1989
Rings and modules. Limit theorems of probability theory. No. 2. (Кольца и модули. Предельные теоремы теории вероятностей. Вып. 2.) Zbl 0701.00009
1
1988
Limit theorems for the sums of independent random variables. (Predel’nye teoremy dlya summ nezavisimykh sluchajnykh velichin). Zbl 0621.60022
Petrov, V. V.
110
1987
Inequalities for the maximum of partial sums of random variables and the law of the iterated logarithm. Zbl 0652.60024
Petrov, V. V.
1
1987
Law of the iterated logarithm for sequences of dependent random variables. Zbl 0531.60032
Petrov, V. V.
5
1984
Sequences of m-orthogonal random variables. Zbl 0551.60032
Petrov, V. V.
1
1984
On the lower limit of the modulus of sums of independent random variables. Zbl 0516.60055
Petrov, V. V.
2
1983
A limit theorem for sums of independent, nonidentically distributed random variables. Zbl 0489.60037
Petrov, V. V.
8
1982
Sequences of m-orthogonal random variables. Zbl 0494.60032
Petrov, V. V.
3
1982
Some estimates for sums of dependent random variables which hold almost surely. Zbl 0462.60031
Petrov, V. V.
2
1981
On a theorem of Feller. Zbl 0456.60025
Martikaĭnen, A. I.; Petrov, V. V.
10
1980
On a theorem of Feller. Zbl 0419.60025
Martikainen, A. I.; Petrov, V. V.
4
1980
On the law of iterated logarithm for sequences of dependent random variables. Zbl 0459.60030
Petrov, V. V.
2
1980
On discontinuous solutions of nonregular variational problems. Zbl 0478.49003
Morozov, S. F.; Petrov, V. V.
1
1979
A limit theorem for sums of independent non-identically distributed random variables. Zbl 0419.60024
Petrov, V. V.
1
1979
On the lower limit of the module of sums of independent random variables. Zbl 0405.60051
Petrov, V. V.
3
1978
A remark on the lower limit for the modulus of sums of independent random variables. Zbl 0412.60051
Petrov, V. V.
3
1978
A remark on the lower limit of the modulus of sums of independent random variables. Zbl 0403.60049
Petrov, V. V.
1
1978
On necessary and sufficient conditions for the law of the iterated logarithm. Zbl 0377.60036
Martikainen, A. I.; Petrov, V. V.
5
1977
On the strong law of large numbers for orthogonal random variables. Zbl 0411.60031
Petrov, V. V.
2
1977
Growth of sums of measurable functions. Zbl 0348.26004
Petrov, V. V.
1
1977
Letters to the editors. Zbl 0379.60029
Martikainen, A. I.; Petrov, V. V.
1
1977
Some estimates for sums of dependent random variables which hold almost surely. Zbl 0365.60036
Petrov, V. V.
5
1976
On the growth of sums of measurable functions. Zbl 0342.26001
Petrov, V. V.
2
1976
Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60043
Petrov, V. V.
777
1975
Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60042
Petrov, V. V.
163
1975
A generalization of an inequality of Levy. Zbl 0349.60001
Petrov, V. V.
7
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 0303.60013
Ramachandran, B.
3
1975
An inequality for moments of a random variable. Zbl 0336.60005
Petrov, V. V.
2
1975
The one-sided strong law of large numbers for ruled sums. Zbl 0303.60026
Petrov, V. V.
7
1974
On the order of growth and sums of dependent variables. Zbl 0295.60020
Petrov, V. V.
9
1973
On the strong law of large numbers for a stationary sequence. Zbl 0303.60032
Petrov, V. V.
5
1973
Moments of distributions attracted to stable laws. Zbl 0323.60027
Petrov, V. V.
2
1973
On the growth of sums of independent random variables. Zbl 0288.60050
Petrov, V. V.
97
1972
Sums of independent random variables. (Суммы независимых случайных величин) (Summen unabhängiger Zufallsgrößen.) Zbl 0267.60055
Petrov, V. V.
33
1972
Limit theorems for k-sequences of independent random variables. Zbl 0226.60040
Petrov, V. V.
4
1971
On the central limit theorem for m-dependent variables. Zbl 0226.60033
Petrov, V. V.
3
1971
On an estimate of the concentration function of a sum of independent random variables. Zbl 0236.60019
Petrov, V. V.
3
1971
A theorem on the law of the iterated logarithm. Zbl 0266.60012
Petrov, V. V.
2
1971
On an estimate of the concentration function of a sum of independent random variables. Zbl 0235.60024
Petrov, V. V.
11
1970
Informational aspects of the regularization problem. Zbl 0269.93080
Petrov, V. V.; Uskov, A. S.
1
1970
On the strong law of large numbers. Zbl 0191.47602
Petrov, V. V.
9
1969
On the strong law of large numbers. Zbl 0196.20903
Petrov, V. V.
6
1969
On the distribution of the maximum cumulative sum of independent random variables. Zbl 0204.51203
Nevzorov, V. B.; Petrov, V. V.
2
1969
Asymptotic behavior of probabilities of large deviations. Zbl 0185.46602
Petrov, V. V.
4
1968
On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 0164.48205
Petrov, V. V.
2
1968
Asymptotic behavior of probabilities of large deviations. Zbl 0181.45003
Petrov, V. V.
2
1968
On an estimate of the remainder term in the central limit theorem. Zbl 0185.46801
Osipov, L. V.; Petrov, V. V.
10
1967
On the estimation of the remainder in the central limit theorem. Zbl 0157.25702
Osipov, L. V.; Petrov, V. V.
8
1967
Generalization and improvement of the Bernstein inequality. Zbl 0221.60030
Petrov, 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 0203.19602
Petrov, V. V.
29
1966
A generalization of Cramer’s limit theorem. Zbl 0147.37002
Petrov, V. V.
6
1966
On the probabilities of large deviations for sums of independent random variables. Zbl 0235.60028
Petrov, V. V.
68
1965
An estimate of the deviation of the distribution of a sum of independent random variables from the normal law. Zbl 0135.19203
Petrov, V. V.
15
1965
An asymptotic analysis of some limit theorems in probability theory. Zbl 0158.36205
Petrov, V. V.
3
1965
On local limit theorems for sums of independent random variables. Zbl 0146.38003
Petrov, V. V.
11
1964
Grenzwertsätze für große Abweichungen bei Verletzung der Cramerschen Bedingungen. II. Zbl 0166.14304
Petrov, V. V.
1
1964
Grenzwertsätze für große Abweichungen bei Verletzung der Cramerschen Bedingung. Zbl 0133.41202
Petrov, V. V.
2
1963
Über gewisse Polynome, die in der Wahrscheinlichkeitstheorie vorkommen. Zbl 0128.38003
Petrov, V. V.
3
1962
On large deviations of sums of random variables. (Über große Abweichungen bei Summen von Zufallsgrößen.) Zbl 0118.13601
Petrov, V. V.
1
1961
Asymptotische Entwicklungen für die Ableitungen der Verteilungsfunktionen einer Summe von unabhängigen Summanden. Zbl 0095.33102
Petrov, V. V.
1
1960
On the law of the iterated logarithm. Zbl 0094.32404
Petrov, V. V.
1
1960
Asymptotic expansions for distributions of sums of independent random variables. Zbl 0100.34504
Petrov, V. V.
1
1959
On a class of limit theorems for independent random variables. Zbl 0095.12702
Petrov, V. V.
1
1959
The similarity of sliding, vibrational and optimal conditions of motion in servomechanisms. Zbl 0077.11902
Petrov, V. V.; Ulanov, G. M.
1
1957
A local theorem for densities of sums of independent random variables. Zbl 0073.12601
Petrov, V. V.
3
1956
Über genaue Abschätzungen in Grenzwertsätzen. Zbl 0066.11206
Petrov, V. V.
3
1955
...and 2 more Documents
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Cited by 2,017 Authors

35 Mikosch, Thomas
34 Horváth, Lajos
34 Petrov, Valentin Vladimirovich
30 Götze, Friedrich
28 Rozovskiĭ, Leonid Viktorovich
24 Bobkov, Sergey Germanovich
20 Hall, Peter Gavin
19 Liu, Quansheng
18 Zaitsev, Andrei Yu.
17 Chistyakov, Gennadiĭ Petrovich
17 Rosalsky, Andrew
16 Berkes, István
16 Frolov, Andreĭ Nikolaevich
16 Li, Deli
16 Manstavičius, Eugenijus
16 Shao, Qi-Man
16 Wang, Xuejun
15 Bentkus, Vidmants-Kastytis
15 Grama, Ion G.
13 Hu, Shuhe
13 Kabluchko, Zakhar A.
13 Klesov, Oleg I.
13 Korolev, Viktor Yur’evich
13 Liang, Hanying
12 Devroye, Luc P. J. A.
12 Samorodnitsky, Gennady Pinkhosovich
11 Matsak, Ivan K.
11 Sunklodas, Jonas Kazys
11 Zhang, Li-Xin
10 Chen, Pingyan
10 Csáki, Endre
10 Fan, Xiequan
10 Johannes, Jan
10 Paulauskas, Vygantas Ionovič
9 Adell, José Antonio
9 Borisov, Igor Semenovich
9 Chesneau, Christophe
9 Hu, Yueyun
9 Hušková, Marie
9 Matuła, Przemysław
9 Qi, Yongcheng
9 Saulis, Leonas
9 Spătaru, Aurel
9 Wu, Yuehua
8 Aue, Alexander
8 Čekanavičius, Vydas
8 Gimadi, Edward Khairutdinovich
8 Gut, Allan
8 Hu, Zhishui
8 Hung, Tran Loc
8 Korchevsky, Valery M.
8 Nagaev, Sergeĭ Viktorovich
8 Račkauskas, Alfredas Yurgevich
8 Steinebach, Josef G.
8 Szewczak, Zbigniew Stanisław
8 Tsybakov, Alexandre B.
8 Weber, Michel Jean Georges
7 Bloznelis, Mindaugas
7 Egorov, V. A.
7 Gao, Zhiqiang
7 Khartov, Alekseĭ Andreevich
7 Kokoszka, Piotr S.
7 Lin, Zhengyan
7 Lita da Silva, João
7 Puri, Madan Lal
7 Shi, Zhan
7 Wachtel, Vitali I.
7 Wang, Qiying
7 Zitikis, Ričardas
6 Amosova, N. N.
6 Bingham, Nicholas Hugh
6 Borda, Bence
6 Braverman, Michael Sh.
6 Cai, Guanghui
6 Chen, Xiru
6 Comte, Fabienne
6 Csörgő, Miklós
6 Dolera, Emanuele
6 Gao, Fuqing
6 Hörmann, Siegfried
6 Hu, Tienchung
6 Janson, Svante
6 Leonenko, Nikolai N.
6 Marckert, Jean-François
6 Martikainen, Alexander I.
6 Mattner, Lutz
6 Miao, Yu
6 Rice, Gregory
6 Robinson, John
6 Seoh, Munsup
6 Shevtsova, I. G.
6 Šiaulys, Jonas
6 Stadtmüller, Ulrich
6 Su, Chun
6 Wintenberger, Olivier
5 Adler, André Bruce
5 Aleškevičienė, Aldona K.
5 Bai, Zhi-Dong
5 Bening, Vladimir E.
5 Borovkov, Aleksandr Alekseevich
...and 1,917 more Authors
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Cited in 313 Serials

152 Lithuanian Mathematical Journal
138 Statistics & Probability Letters
93 Journal of Mathematical Sciences (New York)
77 Stochastic Processes and their Applications
64 The Annals of Probability
60 Journal of Statistical Planning and Inference
57 Journal of Soviet Mathematics
56 Probability Theory and Related Fields
52 Journal of Multivariate Analysis
50 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
48 Journal of Theoretical Probability
44 Mathematical Notes
44 The Annals of Statistics
42 The Annals of Applied Probability
42 Bernoulli
40 Communications in Statistics. Theory and Methods
30 Theory of Probability and its Applications
29 Journal of Mathematical Analysis and Applications
25 Ukrainian Mathematical Journal
25 Siberian Mathematical Journal
23 Electronic Journal of Probability
21 Annals of the Institute of Statistical Mathematics
20 Journal of Statistical Physics
20 Journal of Applied Probability
19 Vestnik St. Petersburg University. Mathematics
18 Statistics
18 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
18 Journal of Inequalities and Applications
17 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
15 Advances in Applied Probability
15 Electronic Journal of Statistics
14 Communications in Mathematical Physics
14 Mathematical Methods of Statistics
12 Metrika
12 Transactions of the American Mathematical Society
12 Acta Mathematicae Applicatae Sinica. English Series
11 Stochastic Analysis and Applications
11 Journal of Nonparametric Statistics
11 Acta Mathematica Sinica. English Series
10 Journal of Econometrics
10 Proceedings of the American Mathematical Society
10 Science in China. Series A
10 Discrete Mathematics and Applications
10 Science China. Mathematics
9 Acta Mathematica Hungarica
9 Random Structures & Algorithms
7 Journal of Approximation Theory
7 Kybernetika
7 Insurance Mathematics & Economics
7 Journal of Complexity
7 Extremes
7 Russian Physics Journal
7 Methodology and Computing in Applied Probability
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Discrete Applied Mathematics
6 Theoretical and Mathematical Physics
6 Queueing Systems
6 Test
6 Theory of Probability and Mathematical Statistics
6 Statistical Papers
6 Electronic Communications in Probability
6 Stochastics
6 Modern Stochastics. Theory and Applications
5 Journal d’Analyse Mathématique
5 Sequential Analysis
4 Journal of Functional Analysis
4 Monatshefte für Mathematik
4 Scandinavian Actuarial Journal
4 Advances in Applied Mathematics
4 Journal of Time Series Analysis
4 Acta Applicandae Mathematicae
4 Applied Mathematics Letters
4 Communications in Statistics. Simulation and Computation
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
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4 Journal of Machine Learning Research (JMLR)
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4 Probability Surveys
4 Sankhyā. Series A
3 Journal of Mathematical Physics
3 Mathematical Methods in the Applied Sciences
3 Periodica Mathematica Hungarica
3 Problems of Information Transmission
3 Scandinavian Journal of Statistics
3 Stochastics
3 Annales de l’Institut Fourier
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of the American Statistical Association
3 Mathematics and Computers in Simulation
3 Mathematics of Operations Research
3 Mathematische Zeitschrift
3 Probability and Mathematical Statistics
3 Automation and Remote Control
3 Journal of Statistical Computation and Simulation
3 Computational Statistics and Data Analysis
3 Acta Mathematica Sinica. New Series
3 Cybernetics and Systems Analysis
3 Applied Mathematics. Series B (English Edition)
3 Combinatorics, Probability and Computing
...and 213 more Serials
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Cited in 54 Fields

1,535 Probability theory and stochastic processes (60-XX)
650 Statistics (62-XX)
81 Statistical mechanics, structure of matter (82-XX)
74 Combinatorics (05-XX)
64 Numerical analysis (65-XX)
61 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
60 Number theory (11-XX)
44 Harmonic analysis on Euclidean spaces (42-XX)
36 Operations research, mathematical programming (90-XX)
34 Approximations and expansions (41-XX)
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20 Biology and other natural sciences (92-XX)
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9 History and biography (01-XX)
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4 Fluid mechanics (76-XX)
3 Topological groups, Lie groups (22-XX)
3 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 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
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