## Major, Peter

Compute Distance To:
 Author ID: major.peter Published as: Major, P.; Major, Péter; Major, Peter External Links: Wikidata · GND · IdRef
 Documents Indexed: 60 Publications since 1973, including 3 Books Co-Authors: 14 Co-Authors with 24 Joint Publications 717 Co-Co-Authors
all top 5

### Co-Authors

 34 single-authored 7 Bleher, Pavel M. 5 Tusnády, Gábor 4 Komlós, János 2 Dobrushin, Roland L’vovich 2 Rejto, Lidia 2 Révész, Pál 2 Szász, Domokos 1 Breuer, Peter T. 1 Cheng, Zheming 1 Csörgő, Miklós 1 Lebowitz, Joel Louis 1 Lovász, László 1 Pap, Gyula 1 Shlosman, Senya B.
all top 5

### Serials

 10 Studia Scientiarum Mathematicarum Hungarica 9 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 The Annals of Probability 5 Probability Theory and Related Fields 3 Lecture Notes in Mathematics 2 Communications in Mathematical Physics 2 Journal of Multivariate Analysis 2 Selecta Mathematica Sovietica 2 Stochastic Processes and their Applications 2 Moscow Mathematical Journal 1 Theory of Probability and its Applications 1 Acta Scientiarum Mathematicarum 1 The Annals of Statistics 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Probability Surveys 1 Pure and Applied Functional Analysis
all top 5

### Fields

 54 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 1 Mathematical logic and foundations (03-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

44 Publications have been cited 1,570 times in 1,151 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
1975
Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034
Dobrushin, R. L.; Major, P.
1979
An approximation of partial sums of independent RV’s and the sample DF. II. Zbl 0307.60045
Komlós, J.; Major, Peter; Tusnády, Gábor
1976
Central limit theorems for non-linear functionals of Gaussian fields. Zbl 0518.60023
Breuer, Peter; Major, Peter
1983
Multiple Wiener-Ito integrals. With applications to limit theorems. Zbl 0451.60002
Major, Peter
1981
The approximation of partial sums of independent r.v.’s. Zbl 0338.60031
Major, Peter
1976
Strong embedding of the estimator of the distribution function under random censorship. Zbl 0667.62024
Major, P.; Rejtö, L.
1988
On the invariance principle for sums of independent identically distributed random variables. Zbl 0408.60028
Major, Peter
1978
Approximation of partial sums of i.i.d. r.v.s when the summands have only two moments. Zbl 0338.60032
Major, Peter
1976
Multiple Wiener-Itô integrals. With applications to limit theorems. 2nd ed. Zbl 1301.60004
Major, Péter
2014
An improvement of Strassen’s invariance principle. Zbl 0392.60034
Major, P.
1979
Limit theorems for non-linear functionals of Gaussian sequence. Zbl 0444.60028
Major, Peter
1981
A limit theorem for the Robbins-Monro approximation. Zbl 0253.62046
Major, P.; Revesz, P.
1973
Asymptotic distributions for weighted $$U$$-statistics. Zbl 0813.62014
Major, Péter
1994
Critical phenomena and universal exponents in statistical physics. On Dyson’s hierarchical model. Zbl 0628.60101
Bleher, P. M.; Major, P.
1987
Tail behaviour of multiple random integrals and $$U$$-statistics. Zbl 1189.60061
Major, Péter
2005
On a multivariate version of Bernstein’s inequality. Zbl 1127.60017
Major, Péter
2007
An estimate on the supremum of a nice class of stochastic integrals and U-statistics. Zbl 1128.62063
Major, Péter
2006
A note on the approximation of the uniform empirical process. Zbl 0703.60029
Major, Peter
1990
On a non-parametric estimation of the regression function. Zbl 0315.62020
Major, P.
1974
On the estimation of multiple random integrals and $$U$$-statistics. Zbl 1280.60002
Major, Péter
2013
On the effect of collisions on the motion of an atom in $$R^1$$. Zbl 0449.60073
Major, Peter; Szasz, Domokos
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.
1988
Renormalization of Dyson’s hierarchical vector valued $$\Phi ^ 4$$ model at low temperatures. Zbl 0587.60098
Bleher, P. M.; Major, P.
1984
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
1994
A note on Kolmogorov’s law of iterated logarithm. Zbl 0431.60033
Major, P.
1977
Poisson law for the number of lattice points in a random strip with finite area. Zbl 0767.60010
Major, Péter
1992
Weak convergence and embedding. Zbl 0342.60009
Komlos, J.; Major, Peter; Tusnády, Gábor
1975
A multivariate version of Hoeffding’s inequality. Zbl 1110.60010
Major, Peter
2006
A counter-example in ergodic theory. Zbl 0864.47002
Major, Péter
1996
The limit behavior of elementary symmetric polynomials of i. i. d. random variables when their order tends to infinity. Zbl 0963.60021
Major, Péter
1999
Renormalizing the voter model. Space and space-time renormalization. Zbl 0513.60098
Major, P.
1980
Almost sure functional limit theorems. I: The general case. Zbl 0921.60033
Major, P.
1998
On the tail behaviour of the distribution function of multiple stochastic integrals. Zbl 0628.60065
Major, P.
1988
Almost sure functional limit theorems. II: The case of independent random variables. Zbl 0993.60020
Major, P.
2000
A local limit theorem for the convolution of probability measures on a compact connected group. Zbl 0397.60021
Major, P.; Shlosman, S. B.
1979
On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063
Dobrushin, R. L.; Major, P.
1981
On a class of self-similar fields. Zbl 0505.60064
Major, P.
1981
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.
1989
On the set visited once by a random walk. Zbl 0617.60068
Major, Péter
1988
On the empirical process when parameters are estimated. Zbl 0407.62011
Csörgö, M.; Komlos, J.; Major, Peter; Revesz, P.; Tusnády, Gábor
1978
Estimation of multiple random integrals and $$U$$-statistics. Zbl 1263.62091
Major, Péter
2010
Sharp tail distribution estimates for the supremum of a class of sums of i.i.d. random variables. Zbl 1343.60022
Major, Péter
2016
Limit theorems in statistical physics; on Dyson’s hierarchical model. Zbl 0684.60082
Blekher, P. M.; Major, P.
1987
Sharp tail distribution estimates for the supremum of a class of sums of i.i.d. random variables. Zbl 1343.60022
Major, Péter
2016
Multiple Wiener-Itô integrals. With applications to limit theorems. 2nd ed. Zbl 1301.60004
Major, Péter
2014
On the estimation of multiple random integrals and $$U$$-statistics. Zbl 1280.60002
Major, Péter
2013
Estimation of multiple random integrals and $$U$$-statistics. Zbl 1263.62091
Major, Péter
2010
On a multivariate version of Bernstein’s inequality. Zbl 1127.60017
Major, Péter
2007
An estimate on the supremum of a nice class of stochastic integrals and U-statistics. Zbl 1128.62063
Major, Péter
2006
A multivariate version of Hoeffding’s inequality. Zbl 1110.60010
Major, Peter
2006
Tail behaviour of multiple random integrals and $$U$$-statistics. Zbl 1189.60061
Major, Péter
2005
Almost sure functional limit theorems. II: The case of independent random variables. Zbl 0993.60020
Major, P.
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
1999
Almost sure functional limit theorems. I: The general case. Zbl 0921.60033
Major, P.
1998
A counter-example in ergodic theory. Zbl 0864.47002
Major, Péter
1996
Asymptotic distributions for weighted $$U$$-statistics. Zbl 0813.62014
Major, Péter
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
1994
Poisson law for the number of lattice points in a random strip with finite area. Zbl 0767.60010
Major, Péter
1992
A note on the approximation of the uniform empirical process. Zbl 0703.60029
Major, Peter
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.
1989
Strong embedding of the estimator of the distribution function under random censorship. Zbl 0667.62024
Major, P.; Rejtö, L.
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.
1988
On the tail behaviour of the distribution function of multiple stochastic integrals. Zbl 0628.60065
Major, P.
1988
On the set visited once by a random walk. Zbl 0617.60068
Major, Péter
1988
Critical phenomena and universal exponents in statistical physics. On Dyson’s hierarchical model. Zbl 0628.60101
Bleher, P. M.; Major, P.
1987
Limit theorems in statistical physics; on Dyson’s hierarchical model. Zbl 0684.60082
Blekher, P. M.; Major, P.
1987
Renormalization of Dyson’s hierarchical vector valued $$\Phi ^ 4$$ model at low temperatures. Zbl 0587.60098
Bleher, P. M.; Major, P.
1984
Central limit theorems for non-linear functionals of Gaussian fields. Zbl 0518.60023
Breuer, Peter; Major, Peter
1983
Multiple Wiener-Ito integrals. With applications to limit theorems. Zbl 0451.60002
Major, Peter
1981
Limit theorems for non-linear functionals of Gaussian sequence. Zbl 0444.60028
Major, Peter
1981
On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063
Dobrushin, R. L.; Major, P.
1981
On a class of self-similar fields. Zbl 0505.60064
Major, P.
1981
On the effect of collisions on the motion of an atom in $$R^1$$. Zbl 0449.60073
Major, Peter; Szasz, Domokos
1980
Renormalizing the voter model. Space and space-time renormalization. Zbl 0513.60098
Major, P.
1980
Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034
Dobrushin, R. L.; Major, P.
1979
An improvement of Strassen’s invariance principle. Zbl 0392.60034
Major, P.
1979
A local limit theorem for the convolution of probability measures on a compact connected group. Zbl 0397.60021
Major, P.; Shlosman, S. B.
1979
On the invariance principle for sums of independent identically distributed random variables. Zbl 0408.60028
Major, Peter
1978
On the empirical process when parameters are estimated. Zbl 0407.62011
Csörgö, M.; Komlos, J.; Major, Peter; Revesz, P.; Tusnády, Gábor
1978
A note on Kolmogorov’s law of iterated logarithm. Zbl 0431.60033
Major, P.
1977
An approximation of partial sums of independent RV’s and the sample DF. II. Zbl 0307.60045
Komlós, J.; Major, Peter; Tusnády, Gábor
1976
The approximation of partial sums of independent r.v.’s. Zbl 0338.60031
Major, Peter
1976
Approximation of partial sums of i.i.d. r.v.s when the summands have only two moments. Zbl 0338.60032
Major, Peter
1976
An approximation of partial sums of independent RV’s, and the sample DF. I. Zbl 0308.60029
Komlós, J.; Major, Peter; Tusnády, Gábor
1975
Weak convergence and embedding. Zbl 0342.60009
Komlos, J.; Major, Peter; Tusnády, Gábor
1975
On a non-parametric estimation of the regression function. Zbl 0315.62020
Major, P.
1974
A limit theorem for the Robbins-Monro approximation. Zbl 0253.62046
Major, P.; Revesz, P.
1973
all top 5

### Cited by 1,085 Authors

 46 Horváth, Lajos 32 Tudor, Ciprian A. 31 Leonenko, Nikolai N. 31 Taqqu, Murad S. 29 Csörgő, Miklós 27 Nourdin, Ivan 26 Surgailis, Donatas 23 Nualart, David 20 Hall, Peter Gavin 18 Steinebach, Josef G. 16 Peccati, Giovanni 15 Major, Peter 14 Berkes, István 14 Deheuvels, Paul 13 Bai, Shuyang 13 Giraitis, Liudas 13 Olenko, Andriy Yakovych 13 Révész, Pál 12 Bouzebda, Salim 11 Csáki, Endre 11 Ho, Hwai-Chung 11 León, José Rafael R. 11 Wu, Wei Biao 10 Mason, David M. 9 Dedecker, Jérôme 9 Kato, Kengo 9 Maejima, Makoto 8 Beran, Jan 8 Csörgő, Sándor 8 Doukhan, Paul 8 Gombay, Edit 8 Lopuhaä, Hendrik P. 8 Merlevède, Florence 8 Ruiz-Medina, María Dolores 8 Zaitsev, Andrei Yu. 7 Alvarez-Andrade, Sergio 7 Borisov, Igor S. 7 Földes, Antónia 7 Ghosh, Sucharita 7 Koul, Hira Lal 7 Mielniczuk, Jan 7 Wang, Lihong 6 Anh, Vo V. 6 Didier, Gustavo 6 Einmahl, John H. J. 6 Einmahl, Uwe 6 Giné-Masdéu, Evarist 6 Götze, Friedrich 6 Shao, Qi-Man 6 Shi, Zhan 6 Szyszkowicz, Barbara 6 Veraverbeke, Noël 6 Wang, Qihua 5 Aly, Emad-Eldin A. A. 5 Aue, Alexander 5 Beirlant, Jan 5 Cuny, Christophe 5 Fakoor, Vahid 5 Gwynne, Ewain 5 Hsing, Tailen 5 Hušková, Marie 5 Kulikov, Vladimir N. 5 Marinucci, Domenico 5 Rio, Emmanuel 5 Robinson, Peter Michael 5 Viens, Frederi G. 5 Wang, Yazhen 5 Yan, Litan 5 Zhou, Harrison H. 4 Bleher, Pavel M. 4 Burke, Murray D. 4 Cai, Tony Tony 4 Coeurjolly, Jean-François 4 Durot, Cécile 4 Jiang, Hui 4 Jirak, Moritz 4 Kim, Yoontae 4 Kokoszka, Piotr S. 4 Lahiri, Soumendra Nath 4 Lavancier, Frédéric 4 Lawler, Gregory Francis 4 Lifshits, Mikhail A. 4 Park, Hyun Suk 4 Prieur, Clémentine 4 Réveillac, Anthony 4 Sabzikar, Farzad 4 Shen, Guangjun 4 Shieh, Narn-Rueih 4 Taufer, Emanuele 4 Terrin, Norma 4 Torres, Soledad 4 Tse, SzeMan 4 Vaskovych, Volodymyr 4 Woodroofe, Michael Barrett 4 Zheng, Guangqu 4 Zhou, Yong 3 Albeverio, Sergio A. 3 Alodat, Tareq 3 Azmoodeh, Ehsan 3 Barbour, Andrew David ...and 985 more Authors
all top 5

### Cited in 176 Serials

 114 Stochastic Processes and their Applications 82 Statistics & Probability Letters 55 The Annals of Statistics 54 Journal of Statistical Planning and Inference 53 Probability Theory and Related Fields 48 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 46 Journal of Multivariate Analysis 44 The Annals of Probability 33 Journal of Theoretical Probability 27 Bernoulli 23 Communications in Statistics. Theory and Methods 20 Journal of Statistical Physics 18 Electronic Journal of Statistics 17 The Annals of Applied Probability 17 Journal of Nonparametric Statistics 16 Lithuanian Mathematical Journal 16 Stochastic Analysis and Applications 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 12 Periodica Mathematica Hungarica 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 Communications in Mathematical Physics 10 Annals of the Institute of Statistical Mathematics 10 Journal of Econometrics 10 Statistics 9 Metrika 9 Ukrainian Mathematical Journal 9 Siberian Mathematical Journal 9 Sequential Analysis 9 Mathematical Methods of Statistics 9 Stochastics and Dynamics 8 The Canadian Journal of Statistics 8 Electronic Journal of Probability 7 Journal of Applied Probability 7 Acta Mathematica Hungarica 7 Journal of the Korean Statistical Society 6 Advances in Applied Probability 6 Journal of Mathematical Analysis and Applications 6 Theory of Probability and its Applications 6 Journal of Functional Analysis 6 Transactions of the American Mathematical Society 6 Theory of Probability and Mathematical Statistics 6 Acta Mathematica Sinica. English Series 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Theoretical and Mathematical Physics 5 Journal of Soviet Mathematics 5 Test 5 Econometric Theory 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Scandinavian Journal of Statistics 4 Proceedings of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. English Series 4 Statistical Science 4 Extremes 4 Probability Surveys 4 Science China. Mathematics 3 Computers & Mathematics with Applications 3 Mathematical Notes 3 Probability and Mathematical Statistics 3 International Journal of Theoretical and Applied Finance 3 Methodology and Computing in Applied Probability 3 Mediterranean Journal of Mathematics 3 Stochastics 3 Statistical Methodology 3 Modern Stochastics. Theory and Applications 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 Advances in Applied Mathematics 2 Ergodic Theory and Dynamical Systems 2 Combinatorica 2 Journal of Complexity 2 Queueing Systems 2 Random Structures & Algorithms 2 Computational Statistics and Data Analysis 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 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Journal of Statistical Theory and Practice 2 The Journal of Mathematical Neuroscience 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Acta Mathematica 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Collectanea Mathematica ...and 76 more Serials
all top 5

### Cited in 47 Fields

 890 Probability theory and stochastic processes (60-XX) 546 Statistics (62-XX) 44 Statistical mechanics, structure of matter (82-XX) 40 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) 16 Partial differential equations (35-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Number theory (11-XX) 14 Quantum theory (81-XX) 14 Biology and other natural sciences (92-XX) 13 Combinatorics (05-XX) 12 Measure and integration (28-XX) 11 Computer science (68-XX) 9 Operations research, mathematical programming (90-XX) 6 Functional analysis (46-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Ordinary differential equations (34-XX) 4 History and biography (01-XX) 4 Operator theory (47-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-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 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-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)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.