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Major, Peter

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Author ID: major.peter Recent zbMATH articles by "Major, Peter"
Published as: Major, P.; Major, Peter; Major, Péter
External Links: Wikidata · GND
Documents Indexed: 58 Publications since 1973, including 3 Books

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 1,527 times in 1,114 Documents Cited by Year
An approximation of partial sums of independent RV’s, and the sample DF. I. Zbl 0308.60029
Komlós, J.; Major, Peter; Tusnády, Gábor
402
1975
Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034
Dobrushin, R. L.; Major, P.
272
1979
An approximation of partial sums of independent RV’s and the sample DF. II. Zbl 0307.60045
Komlós, J.; Major, Peter; Tusnády, Gábor
208
1976
Central limit theorems for non-linear functionals of Gaussian fields. Zbl 0518.60023
Breuer, Peter; Major, Peter
177
1983
Multiple Wiener-Ito integrals. With applications to limit theorems. Zbl 0451.60002
Major, Peter
101
1981
The approximation of partial sums of independent r.v.’s. Zbl 0338.60031
Major, Peter
56
1976
Strong embedding of the estimator of the distribution function under random censorship. Zbl 0667.62024
Major, P.; Rejtö, L.
51
1988
On the invariance principle for sums of independent identically distributed random variables. Zbl 0408.60028
Major, Peter
28
1978
Approximation of partial sums of i.i.d. r.v.s when the summands have only two moments. Zbl 0338.60032
Major, Peter
24
1976
Multiple Wiener-Itô integrals. With applications to limit theorems. 2nd ed. Zbl 1301.60004
Major, Péter
19
2014
An improvement of Strassen’s invariance principle. Zbl 0392.60034
Major, P.
17
1979
A limit theorem for the Robbins-Monro approximation. Zbl 0253.62046
Major, P.; Revesz, P.
15
1973
Limit theorems for non-linear functionals of Gaussian sequence. Zbl 0444.60028
Major, Peter
14
1981
Tail behaviour of multiple random integrals and \(U\)-statistics. Zbl 1189.60061
Major, Péter
13
2005
Asymptotic distributions for weighted \(U\)-statistics. Zbl 0813.62014
Major, Péter
13
1994
Critical phenomena and universal exponents in statistical physics. On Dyson’s hierarchical model. Zbl 0628.60101
Bleher, P. M.; Major, P.
12
1987
On a multivariate version of Bernstein’s inequality. Zbl 1127.60017
Major, Péter
9
2007
An estimate on the supremum of a nice class of stochastic integrals and U-statistics. Zbl 1128.62063
Major, Péter
9
2006
Weak convergence and embedding. Zbl 0342.60009
Komlos, J.; Major, Peter; Tusnády, Gábor
9
1975
A note on the approximation of the uniform empirical process. Zbl 0703.60029
Major, Peter
8
1990
On a non-parametric estimation of the regression function. Zbl 0315.62020
Major, P.
8
1974
On the estimation of multiple random integrals and \(U\)-statistics. Zbl 1280.60002
Major, Péter
6
2013
On the effect of collisions on the motion of an atom in \(R^1\). Zbl 0449.60073
Major, Peter; Szasz, Domokos
6
1980
The large-scale limit of Dyson’s hierarchical vector valued model at low temperatures. The non-Gaussian case. I: Limit theorem for the average spin. II: Description of the large-scale limit. Zbl 0669.60096
Bleher, P. M.; Major, P.
5
1988
Renormalization of Dyson’s hierarchical vector valued \(\Phi ^ 4\) model at low temperatures. Zbl 0587.60098
Bleher, P. M.; Major, P.
5
1984
A note on Kolmogorov’s law of iterated logarithm. Zbl 0431.60033
Major, P.
4
1977
A multivariate version of Hoeffding’s inequality. Zbl 1110.60010
Major, Peter
3
2006
The limit behavior of elementary symmetric polynomials of i. i. d. random variables when their order tends to infinity. Zbl 0963.60021
Major, Péter
3
1999
Almost sure functional limit theorems. I: The general case. Zbl 0921.60033
Major, P.
3
1998
A counter-example in ergodic theory. Zbl 0864.47002
Major, Péter
3
1996
Poisson law for the number of lattice points in a random strip with finite area. Zbl 0767.60010
Major, Péter
3
1992
Renormalizing the voter model. Space and space-time renormalization. Zbl 0513.60098
Major, P.
3
1980
Almost sure functional limit theorems. II: The case of independent random variables. Zbl 0993.60020
Major, P.
2
2000
On the number of lattice points between two enlarged and randomly shifted copies of an oval. Zbl 0809.60026
Cheng, Zheming; Lebowitz, Joel L.; Major, Péter
2
1994
The large-scale limit of Dyson’s hierarchical vector-valued model at low temperatures. The marginal case \(c=\sqrt{2}\). Zbl 0684.60083
Blekher, P. M.; Major, P.
2
1989
On the tail behaviour of the distribution function of multiple stochastic integrals. Zbl 0628.60065
Major, P.
2
1988
On a class of self-similar fields. Zbl 0505.60064
Major, P.
2
1981
On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063
Dobrushin, R. L.; Major, P.
2
1981
A local limit theorem for the convolution of probability measures on a compact connected group. Zbl 0397.60021
Major, P.; Shlosman, S. B.
2
1979
Sharp tail distribution estimates for the supremum of a class of sums of i.i.d. random variables. Zbl 1343.60022
Major, Péter
1
2016
On the set visited once by a random walk. Zbl 0617.60068
Major, Péter
1
1988
Limit theorems in statistical physics; on Dyson’s hierarchical model. Zbl 0684.60082
Blekher, P. M.; Major, P.
1
1987
On the empirical process when parameters are estimated. Zbl 0407.62011
Csörgö, M.; Komlos, J.; Major, Peter; Revesz, P.; Tusnády, Gábor
1
1978
Sharp tail distribution estimates for the supremum of a class of sums of i.i.d. random variables. Zbl 1343.60022
Major, Péter
1
2016
Multiple Wiener-Itô integrals. With applications to limit theorems. 2nd ed. Zbl 1301.60004
Major, Péter
19
2014
On the estimation of multiple random integrals and \(U\)-statistics. Zbl 1280.60002
Major, Péter
6
2013
On a multivariate version of Bernstein’s inequality. Zbl 1127.60017
Major, Péter
9
2007
An estimate on the supremum of a nice class of stochastic integrals and U-statistics. Zbl 1128.62063
Major, Péter
9
2006
A multivariate version of Hoeffding’s inequality. Zbl 1110.60010
Major, Peter
3
2006
Tail behaviour of multiple random integrals and \(U\)-statistics. Zbl 1189.60061
Major, Péter
13
2005
Almost sure functional limit theorems. II: The case of independent random variables. Zbl 0993.60020
Major, P.
2
2000
The limit behavior of elementary symmetric polynomials of i. i. d. random variables when their order tends to infinity. Zbl 0963.60021
Major, Péter
3
1999
Almost sure functional limit theorems. I: The general case. Zbl 0921.60033
Major, P.
3
1998
A counter-example in ergodic theory. Zbl 0864.47002
Major, Péter
3
1996
Asymptotic distributions for weighted \(U\)-statistics. Zbl 0813.62014
Major, Péter
13
1994
On the number of lattice points between two enlarged and randomly shifted copies of an oval. Zbl 0809.60026
Cheng, Zheming; Lebowitz, Joel L.; Major, Péter
2
1994
Poisson law for the number of lattice points in a random strip with finite area. Zbl 0767.60010
Major, Péter
3
1992
A note on the approximation of the uniform empirical process. Zbl 0703.60029
Major, Peter
8
1990
The large-scale limit of Dyson’s hierarchical vector-valued model at low temperatures. The marginal case \(c=\sqrt{2}\). Zbl 0684.60083
Blekher, P. M.; Major, P.
2
1989
Strong embedding of the estimator of the distribution function under random censorship. Zbl 0667.62024
Major, P.; Rejtö, L.
51
1988
The large-scale limit of Dyson’s hierarchical vector valued model at low temperatures. The non-Gaussian case. I: Limit theorem for the average spin. II: Description of the large-scale limit. Zbl 0669.60096
Bleher, P. M.; Major, P.
5
1988
On the tail behaviour of the distribution function of multiple stochastic integrals. Zbl 0628.60065
Major, P.
2
1988
On the set visited once by a random walk. Zbl 0617.60068
Major, Péter
1
1988
Critical phenomena and universal exponents in statistical physics. On Dyson’s hierarchical model. Zbl 0628.60101
Bleher, P. M.; Major, P.
12
1987
Limit theorems in statistical physics; on Dyson’s hierarchical model. Zbl 0684.60082
Blekher, P. M.; Major, P.
1
1987
Renormalization of Dyson’s hierarchical vector valued \(\Phi ^ 4\) model at low temperatures. Zbl 0587.60098
Bleher, P. M.; Major, P.
5
1984
Central limit theorems for non-linear functionals of Gaussian fields. Zbl 0518.60023
Breuer, Peter; Major, Peter
177
1983
Multiple Wiener-Ito integrals. With applications to limit theorems. Zbl 0451.60002
Major, Peter
101
1981
Limit theorems for non-linear functionals of Gaussian sequence. Zbl 0444.60028
Major, Peter
14
1981
On a class of self-similar fields. Zbl 0505.60064
Major, P.
2
1981
On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063
Dobrushin, R. L.; Major, P.
2
1981
On the effect of collisions on the motion of an atom in \(R^1\). Zbl 0449.60073
Major, Peter; Szasz, Domokos
6
1980
Renormalizing the voter model. Space and space-time renormalization. Zbl 0513.60098
Major, P.
3
1980
Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034
Dobrushin, R. L.; Major, P.
272
1979
An improvement of Strassen’s invariance principle. Zbl 0392.60034
Major, P.
17
1979
A local limit theorem for the convolution of probability measures on a compact connected group. Zbl 0397.60021
Major, P.; Shlosman, S. B.
2
1979
On the invariance principle for sums of independent identically distributed random variables. Zbl 0408.60028
Major, Peter
28
1978
On the empirical process when parameters are estimated. Zbl 0407.62011
Csörgö, M.; Komlos, J.; Major, Peter; Revesz, P.; Tusnády, Gábor
1
1978
A note on Kolmogorov’s law of iterated logarithm. Zbl 0431.60033
Major, P.
4
1977
An approximation of partial sums of independent RV’s and the sample DF. II. Zbl 0307.60045
Komlós, J.; Major, Peter; Tusnády, Gábor
208
1976
The approximation of partial sums of independent r.v.’s. Zbl 0338.60031
Major, Peter
56
1976
Approximation of partial sums of i.i.d. r.v.s when the summands have only two moments. Zbl 0338.60032
Major, Peter
24
1976
An approximation of partial sums of independent RV’s, and the sample DF. I. Zbl 0308.60029
Komlós, J.; Major, Peter; Tusnády, Gábor
402
1975
Weak convergence and embedding. Zbl 0342.60009
Komlos, J.; Major, Peter; Tusnády, Gábor
9
1975
On a non-parametric estimation of the regression function. Zbl 0315.62020
Major, P.
8
1974
A limit theorem for the Robbins-Monro approximation. Zbl 0253.62046
Major, P.; Revesz, P.
15
1973
all top 5

Cited by 1,055 Authors

47 Horváth, Lajos
33 Taqqu, Murad S.
32 Tudor, Ciprian A.
31 Leonenko, Nikolai N.
30 Csörgő, Miklós
26 Surgailis, Donatas
25 Nourdin, Ivan
20 Hall, Peter Gavin
19 Nualart, David
19 Steinebach, Josef G.
15 Peccati, Giovanni
14 Bai, Shuyang
14 Berkes, István
14 Deheuvels, Paul
14 Major, Peter
14 Révész, Pál
12 Bouzebda, Salim
11 Csáki, Endre
11 Ho, Hwai-Chung
11 León, José Rafael R.
11 Mason, David M.
11 Olenko, Andriy Yakovych
11 Wu, Wei Biao
10 Dedecker, Jérôme
9 Giraitis, Liudas
9 Maejima, Makoto
8 Csörgő, Sándor
8 Gombay, Edit
8 Kato, Kengo
8 Koul, Hira Lal
8 Lopuhaä, Hendrik P.
8 Merlevède, Florence
8 Ruiz-Medina, María Dolores
8 Zaitsev, Andrei Yu.
7 Alvarez-Andrade, Sergio
7 Beran, Jan
7 Borisov, Igor S.
7 Doukhan, Paul
7 Einmahl, John H. J.
7 Földes, Antónia
7 Mielniczuk, Jan
6 Anh, Vo V.
6 Cuny, Christophe
6 Einmahl, Uwe
6 Ghosh, Sucharita
6 Giné-Masdéu, Evarist
6 Götze, Friedrich W.
6 Shao, Qi-Man
6 Shi, Zhan
6 Szyszkowicz, Barbara
6 Veraverbeke, Noël
6 Wang, Lihong
6 Wang, Qihua
5 Aly, Emad-Eldin A. A.
5 Aue, Alexander
5 Beirlant, Jan
5 Burke, Murray D.
5 Cai, Tony Tony
5 Didier, Gustavo
5 Hsing, Tailen
5 Hušková, Marie
5 Kulikov, Vladimir N.
5 Rio, Emmanuel
5 Robinson, Peter Michael
5 Viens, Frederi G.
5 Wang, Yazhen
5 Yan, Litan
5 Zhou, Harrison H.
4 Coeurjolly, Jean-François
4 Durot, Cécile
4 Fakoor, Vahid
4 Girajtis, L.
4 Jiang, Hui
4 Jirak, Moritz
4 Kim, Yoontae
4 Kokoszka, Piotr S.
4 Koning, Alex J.
4 Lahiri, Soumendra Nath
4 Lavancier, Frédéric
4 Lawler, Gregory Francis
4 Marinucci, Domenico
4 Missarov, Moukadas D.
4 Munk, Axel
4 Park, Hyun Suk
4 Prieur, Clémentine
4 Réveillac, Anthony
4 Shen, Guangjun
4 Shieh, Narn-Rueih
4 Taufer, Emanuele
4 Terdik, György H.
4 Terrin, Norma
4 Torres, Soledad
4 Tse, SzeMan
4 Vaskovych, Volodymyr
4 Woodroofe, Michael Barrett
4 Zhou, Yong
3 Albeverio, Sergio A.
3 Barbour, Andrew D.
3 Bardet, Jean-Marc
3 Bleher, Pavel M.
...and 955 more Authors
all top 5

Cited in 164 Serials

116 Stochastic Processes and their Applications
87 Statistics & Probability Letters
57 Journal of Statistical Planning and Inference
55 The Annals of Statistics
53 Probability Theory and Related Fields
48 Journal of Multivariate Analysis
48 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
40 The Annals of Probability
30 Journal of Theoretical Probability
24 Bernoulli
20 Journal of Statistical Physics
19 Communications in Statistics. Theory and Methods
17 Journal of Nonparametric Statistics
16 Lithuanian Mathematical Journal
16 Stochastic Analysis and Applications
16 Electronic Journal of Statistics
14 The Annals of Applied Probability
13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
12 Periodica Mathematica Hungarica
11 Communications in Mathematical Physics
11 Journal of Time Series Analysis
11 Journal of Mathematical Sciences (New York)
11 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
11 Statistical Inference for Stochastic Processes
10 Journal of Econometrics
10 Statistics
9 Metrika
9 Ukrainian Mathematical Journal
9 Annals of the Institute of Statistical Mathematics
9 Siberian Mathematical Journal
9 Sequential Analysis
9 Mathematical Methods of Statistics
8 The Canadian Journal of Statistics
8 Stochastics and Dynamics
7 Acta Mathematica Hungarica
7 Journal of the Korean Statistical Society
6 Advances in Applied Probability
6 Journal of Mathematical Analysis and Applications
6 Journal of Applied Probability
6 Journal of Functional Analysis
6 Transactions of the American Mathematical Society
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Theoretical and Mathematical Physics
5 Journal of Soviet Mathematics
5 Test
5 Theory of Probability and Mathematical Statistics
5 Acta Mathematica Sinica. English Series
5 Econometric Theory
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Scandinavian Journal of Statistics
4 Theory of Probability and its Applications
4 Proceedings of the American Mathematical Society
4 Acta Mathematicae Applicatae Sinica. English Series
4 Statistical Science
4 Statistical Methodology
4 Science China. Mathematics
3 Computers & Mathematics with Applications
3 Mathematical Notes
3 Electronic Journal of Probability
3 International Journal of Theoretical and Applied Finance
3 Extremes
3 Methodology and Computing in Applied Probability
3 Mediterranean Journal of Mathematics
3 Stochastics
3 Probability Surveys
2 International Journal of Modern Physics B
2 Israel Journal of Mathematics
2 Chaos, Solitons and Fractals
2 Acta Mathematica Vietnamica
2 Applied Mathematics and Computation
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Ergodic Theory and Dynamical Systems
2 Combinatorica
2 Probability and Mathematical Statistics
2 Journal of Complexity
2 Queueing Systems
2 Random Structures & Algorithms
2 Acta Mathematica Sinica. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Combinatorics, Probability and Computing
2 Electronic Communications in Probability
2 The Journal of Fourier Analysis and Applications
2 Journal of Statistical Theory and Practice
2 The Journal of Mathematical Neuroscience
2 Modern Stochastics. Theory and Applications
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Journal of Mathematical Biology
1 Russian Mathematical Surveys
1 Acta Mathematica
1 Advances in Mathematics
1 Applied Mathematics and Optimization
1 Collectanea Mathematica
1 Computing
1 Duke Mathematical Journal
1 Journal of the American Statistical Association
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
...and 64 more Serials
all top 5

Cited in 46 Fields

852 Probability theory and stochastic processes (60-XX)
537 Statistics (62-XX)
41 Statistical mechanics, structure of matter (82-XX)
39 Numerical analysis (65-XX)
20 Dynamical systems and ergodic theory (37-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
14 Quantum theory (81-XX)
13 Combinatorics (05-XX)
13 Partial differential equations (35-XX)
12 Number theory (11-XX)
12 Biology and other natural sciences (92-XX)
10 Measure and integration (28-XX)
10 Computer science (68-XX)
8 Operations research, mathematical programming (90-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Functional analysis (46-XX)
5 Ordinary differential equations (34-XX)
5 Operator theory (47-XX)
4 History and biography (01-XX)
4 Systems theory; control (93-XX)
3 Real functions (26-XX)
3 Functions of a complex variable (30-XX)
3 Special functions (33-XX)
3 Approximations and expansions (41-XX)
3 Differential geometry (53-XX)
3 Information and communication theory, circuits (94-XX)
2 Field theory and polynomials (12-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Fluid mechanics (76-XX)
2 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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