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Petrov, Valentin Vladimirovich

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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
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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

Publications by Year

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 0322.60043
Petrov, V. V.
688
1975
Limit theorems of probability theory. Sequences of independent random variables. Zbl 0826.60001
Petrov, Valentin V.
549
1995
Limit theorems for the sums of independent random variables. (Predel’nye teoremy dlya summ nezavisimykh sluchajnykh velichin). Zbl 0621.60022
Petrov, V. V.
96
1987
Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60042
Petrov, V. V.
96
1975
On the growth of sums of independent random variables. Zbl 0288.60050
Petrov, V. V.
94
1972
On the probabilities of large deviations for sums of independent random variables. Zbl 0235.60028
Petrov, 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 0203.19602
Petrov, V. V.
29
1966
Sums of independent random variables. (Суммы независимых случайных величин) (Summen unabhängiger Zufallsgrößen.) Zbl 0267.60055
Petrov, V. V.
27
1972
A generalization of the Borel-Cantelli lemma. Zbl 1101.60300
Petrov, Valentin V.
15
2004
A note on the Borel-Cantelli lemma. Zbl 1017.60004
Petrov, Valentin V.
13
2002
On an estimate of the concentration function of a sum of independent random variables. Zbl 0235.60024
Petrov, V. V.
11
1970
On the strong law of large numbers for sequences of dependent random variables. Zbl 1253.60039
Korchevsky, V. M.; Petrov, V. V.
11
2010
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
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.
8
1965
On local limit theorems for sums of independent random variables. Zbl 0146.38003
Petrov, V. V.
8
1964
On the estimation of the remainder in the central limit theorem. Zbl 0157.25702
Osipov, L. V.; Petrov, V. V.
8
1967
A limit theorem for sums of independent, nonidentically distributed random variables. Zbl 0489.60037
Petrov, V. V.
7
1982
On the order of growth and sums of dependent variables. Zbl 0295.60020
Petrov, V. V.
7
1973
The one-sided strong law of large numbers for ruled sums. Zbl 0303.60026
Petrov, V. V.
7
1974
A generalization of an inequality of Levy. Zbl 0349.60001
Petrov, V. V.
6
1975
A generalization of Cramer’s limit theorem. Zbl 0147.37002
Petrov, V. V.
6
1966
Generalization and improvement of the Bernstein inequality. Zbl 0221.60030
Petrov, V. V.
6
1967
On the strong law of large numbers for nonnegative random variables. Zbl 1193.60044
Petrov, V. V.
6
2009
Law of the iterated logarithm for sequences of dependent random variables. Zbl 0531.60032
Petrov, V. V.
5
1984
Moments of sums of independent random variables. Zbl 0784.60023
Petrov, V. V.
5
1989
On the strong law of large numbers. Zbl 0196.20903
Petrov, V. V.
5
1969
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 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
Asymptotic behavior of probabilities of large deviations. Zbl 0185.46602
Petrov, V. V.
4
1968
Limit theorems for k-sequences of independent random variables. Zbl 0226.60040
Petrov, V. V.
4
1971
On a theorem of Feller. Zbl 0419.60025
Martikainen, A. I.; Petrov, V. V.
4
1980
Large deviations for sums of independent non identically distributed random variables. Zbl 1292.60038
Petrov, Valentin V.; Robinson, John
3
2008
Sequences of m-orthogonal random variables. Zbl 0494.60032
Petrov, V. V.
3
1982
On probabilities of moderate deviations. Zbl 0996.60033
Petrov, V. V.
3
1999
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
On the central limit theorem for m-dependent variables. Zbl 0226.60033
Petrov, V. V.
3
1971
Some estimates for sums of dependent random variables which hold almost surely. Zbl 0365.60036
Petrov, V. V.
3
1976
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
On lower bounds for tail probabilities. Zbl 1120.60016
Petrov, Valentin V.
3
2007
On large deviations of sums of independent random variables. Zbl 1125.60024
Hu, Zhishui; Petrov, Valentin V.; Robinson, John
3
2007
On an estimate of the concentration function of a sum of independent random variables. Zbl 0236.60019
Petrov, V. V.
3
1971
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
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
On the strong law of large numbers for a stationary sequence. Zbl 0303.60032
Petrov, V. V.
3
1973
On the growth of sums of measurable functions. Zbl 0342.26001
Petrov, 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 1401.60002
Lifshits, 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 1325.60034
Petrov, V. V.
2
2014
On the law of iterated logarithm for sequences of dependent random variables. Zbl 0459.60030
Petrov, V. V.
2
1980
Some estimates for sums of dependent random variables which hold almost surely. Zbl 0462.60031
Petrov, V. V.
2
1981
On the lower limit of the modulus of sums of independent random variables. Zbl 0516.60055
Petrov, V. V.
2
1983
Classical-type limit theorems for sums of independent random variables. Zbl 0959.60029
Petrov, V. V.
2
2000
On the strong law of large numbers. Zbl 0859.60028
Petrov, Valentin V.
2
1996
On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 0164.48205
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
Quasicumulants and limit theorems in case of the Cauchy limiting law. Zbl 1142.60014
Molchanov, S. A.; Petrov, V. V.; Squartini, N.
2
2007
A theorem on the law of the iterated logarithm. Zbl 0266.60012
Petrov, V. V.
2
1971
Sequences of m-orthogonal random variables. Zbl 0551.60032
Petrov, V. V.
1
1984
On a strong limit theorem for sums of independent random variables. Zbl 1014.60028
Petrov, Valentin V.
1
2001
Strengthenings of the Lyapunov, Hölder, and Minkowski inequalities. Zbl 1331.60041
Petrov, V. V.
1
2015
On the growth of sums of independent random variables. Zbl 1076.60025
Petrov, V. V.
1
2002
The growth of sums of indicators of events. Zbl 1074.60044
Petrov, V. V.
1
2003
Growth of sums of measurable functions. Zbl 0348.26004
Petrov, V. V.
1
1977
On the law of the iterated logarithm without assumptions about the existence of moments. Zbl 1459.60072
Petrov, V. V.
1
2020
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 the strong law of large numbers for a sequence of nonnegative random variables. Zbl 1290.60037
Petrov, V. V.
1
2011
On discontinuous solutions of nonregular variational problems. Zbl 0478.49003
Morozov, S. F.; Petrov, V. V.
1
1979
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 absolute convergence of series of random variables almost surely. Zbl 1381.60080
Petrov, V. V.
1
2016
On the law of the iterated logarithm for sequences of dependent random variables. Zbl 1382.60070
Petrov, V. V.
1
2017
The strong law of large numbers for a stationary sequence. Zbl 1390.60117
Petrov, V. V.
1
2016
On the law of the iterated logarithm. Zbl 0094.32404
Petrov, V. V.
1
1960
On a class of limit theorems for independent random variables. Zbl 0095.12702
Petrov, V. V.
1
1959
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 Bedingung. Zbl 0133.41202
Petrov, V. V.
1
1963
Asymptotic behavior of probabilities of large deviations. Zbl 0181.45003
Petrov, V. V.
1
1968
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 orthogonal random variables. Zbl 0411.60031
Petrov, V. V.
1
1977
A limit theorem for sums of independent non-identically distributed random variables. Zbl 0419.60024
Petrov, V. V.
1
1979
On estimation of the remainder in the central limit theorem. Zbl 1115.60029
Petrov, V. V.
1
2007
A generalization of the Chung-Erdős inequality for the probability of the union of events. Zbl 1115.60020
Petrov, V. V.
1
2007
Moments of distributions attracted to stable laws. Zbl 0323.60027
Petrov, V. V.
1
1973
An inequality for moments of a random variable. Zbl 0336.60005
Petrov, V. V.
1
1975
On stability of sums of nonnegative random variables. Zbl 1180.60031
Petrov, V. V.
1
2009
On the Borel-Cantelli lemma. Zbl 0836.60013
Martikainen, A. I.; Petrov, V. V.
1
1990
Informational aspects of the regularization problem. Zbl 0269.93080
Petrov, V. V.; Uskov, A. S.
1
1970
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.
1
2017
On absolute convergence of series of random variables almost surely. Zbl 1381.60080
Petrov, V. V.
1
2016
The strong law of large numbers for a stationary sequence. Zbl 1390.60117
Petrov, V. V.
1
2016
Strengthenings of the Lyapunov, Hölder, and Minkowski inequalities. Zbl 1331.60041
Petrov, V. V.
1
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.
11
2010
On the strong law of large numbers for nonnegative random variables. Zbl 1193.60044
Petrov, V. V.
6
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
3
2008
On lower bounds for tail probabilities. Zbl 1120.60016
Petrov, Valentin V.
3
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 Chung-Erdős inequality for the probability of the union of events. Zbl 1115.60020
Petrov, V. V.
1
2007
A generalization of the Borel-Cantelli lemma. Zbl 1101.60300
Petrov, Valentin V.
15
2004
The growth of sums of indicators of events. Zbl 1074.60044
Petrov, V. V.
1
2003
A note on the Borel-Cantelli lemma. Zbl 1017.60004
Petrov, Valentin V.
13
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 a strong limit theorem for sums of independent random variables. Zbl 1014.60028
Petrov, Valentin V.
1
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
Classical-type limit theorems for sums of independent random variables. Zbl 0959.60029
Petrov, V. V.
2
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.
549
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.
5
1989
Limit theorems for the sums of independent random variables. (Predel’nye teoremy dlya summ nezavisimykh sluchajnykh velichin). Zbl 0621.60022
Petrov, V. V.
96
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.
7
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
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
On the strong law of large numbers for orthogonal random variables. Zbl 0411.60031
Petrov, V. V.
1
1977
Some estimates for sums of dependent random variables which hold almost surely. Zbl 0365.60036
Petrov, V. V.
3
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.
688
1975
Sums of independent random variables. Translated from the Russian by A. A. Brown. Zbl 0322.60042
Petrov, V. V.
96
1975
A generalization of an inequality of Levy. Zbl 0349.60001
Petrov, 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 0303.60013
Ramachandran, B.
3
1975
An inequality for moments of a random variable. Zbl 0336.60005
Petrov, V. V.
1
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.
7
1973
On the strong law of large numbers for a stationary sequence. Zbl 0303.60032
Petrov, V. V.
3
1973
Moments of distributions attracted to stable laws. Zbl 0323.60027
Petrov, V. V.
1
1973
On the growth of sums of independent random variables. Zbl 0288.60050
Petrov, V. V.
94
1972
Sums of independent random variables. (Суммы независимых случайных величин) (Summen unabhängiger Zufallsgrößen.) Zbl 0267.60055
Petrov, V. V.
27
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.
5
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.
1
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.
48
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.
8
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.
8
1964
Grenzwertsätze für große Abweichungen bei Verletzung der Cramerschen Bedingung. Zbl 0133.41202
Petrov, V. V.
1
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
On the law of the iterated logarithm. Zbl 0094.32404
Petrov, V. V.
1
1960
On a class of limit theorems for independent random variables. Zbl 0095.12702
Petrov, V. V.
1
1959
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
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