Edit Profile (opens in new tab) Major, Peter Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 0308.60029Komlós, J.; Major, Peter; Tusnády, Gábor 405 1975 Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034Dobrushin, R. L.; Major, P. 290 1979 An approximation of partial sums of independent RV’s and the sample DF. II. Zbl 0307.60045Komlós, J.; Major, Peter; Tusnády, Gábor 215 1976 Central limit theorems for non-linear functionals of Gaussian fields. Zbl 0518.60023Breuer, Peter; Major, Peter 192 1983 Multiple Wiener-Ito integrals. With applications to limit theorems. Zbl 0451.60002Major, Peter 87 1981 The approximation of partial sums of independent r.v.’s. Zbl 0338.60031Major, Peter 57 1976 Strong embedding of the estimator of the distribution function under random censorship. Zbl 0667.62024Major, P.; Rejtö, L. 52 1988 On the invariance principle for sums of independent identically distributed random variables. Zbl 0408.60028Major, Peter 30 1978 Approximation of partial sums of i.i.d. r.v.s when the summands have only two moments. Zbl 0338.60032Major, Peter 24 1976 Multiple Wiener-Itô integrals. With applications to limit theorems. 2nd ed. Zbl 1301.60004Major, Péter 20 2014 An improvement of Strassen’s invariance principle. Zbl 0392.60034Major, P. 17 1979 Limit theorems for non-linear functionals of Gaussian sequence. Zbl 0444.60028Major, Peter 16 1981 A limit theorem for the Robbins-Monro approximation. Zbl 0253.62046Major, P.; Revesz, P. 15 1973 Asymptotic distributions for weighted \(U\)-statistics. Zbl 0813.62014Major, Péter 14 1994 Critical phenomena and universal exponents in statistical physics. On Dyson’s hierarchical model. Zbl 0628.60101Bleher, P. M.; Major, P. 13 1987 Tail behaviour of multiple random integrals and \(U\)-statistics. Zbl 1189.60061Major, Péter 13 2005 On a multivariate version of Bernstein’s inequality. Zbl 1127.60017Major, Péter 10 2007 An estimate on the supremum of a nice class of stochastic integrals and U-statistics. Zbl 1128.62063Major, Péter 10 2006 A note on the approximation of the uniform empirical process. Zbl 0703.60029Major, Peter 9 1990 On a non-parametric estimation of the regression function. Zbl 0315.62020Major, P. 8 1974 On the estimation of multiple random integrals and \(U\)-statistics. Zbl 1280.60002Major, Péter 8 2013 On the effect of collisions on the motion of an atom in \(R^1\). Zbl 0449.60073Major, 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 0669.60096Bleher, P. M.; Major, P. 5 1988 Renormalization of Dyson’s hierarchical vector valued \(\Phi ^ 4\) model at low temperatures. Zbl 0587.60098Bleher, P. M.; Major, P. 5 1984 On the number of lattice points between two enlarged and randomly shifted copies of an oval. Zbl 0809.60026Cheng, Zheming; Lebowitz, Joel L.; Major, Péter 4 1994 A note on Kolmogorov’s law of iterated logarithm. Zbl 0431.60033Major, P. 4 1977 Poisson law for the number of lattice points in a random strip with finite area. Zbl 0767.60010Major, Péter 4 1992 Weak convergence and embedding. Zbl 0342.60009Komlos, J.; Major, Peter; Tusnády, Gábor 4 1975 A multivariate version of Hoeffding’s inequality. Zbl 1110.60010Major, Peter 4 2006 A counter-example in ergodic theory. Zbl 0864.47002Major, Péter 3 1996 The limit behavior of elementary symmetric polynomials of i. i. d. random variables when their order tends to infinity. Zbl 0963.60021Major, Péter 3 1999 Renormalizing the voter model. Space and space-time renormalization. Zbl 0513.60098Major, P. 3 1980 Almost sure functional limit theorems. I: The general case. Zbl 0921.60033Major, P. 3 1998 On the tail behaviour of the distribution function of multiple stochastic integrals. Zbl 0628.60065Major, P. 2 1988 Almost sure functional limit theorems. II: The case of independent random variables. Zbl 0993.60020Major, P. 2 2000 A local limit theorem for the convolution of probability measures on a compact connected group. Zbl 0397.60021Major, P.; Shlosman, S. B. 2 1979 On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063Dobrushin, R. L.; Major, P. 2 1981 On a class of self-similar fields. Zbl 0505.60064Major, P. 2 1981 The large-scale limit of Dyson’s hierarchical vector-valued model at low temperatures. The marginal case \(c=\sqrt{2}\). Zbl 0684.60083Blekher, P. M.; Major, P. 2 1989 On the set visited once by a random walk. Zbl 0617.60068Major, Péter 1 1988 On the empirical process when parameters are estimated. Zbl 0407.62011Csörgö, M.; Komlos, J.; Major, Peter; Revesz, P.; Tusnády, Gábor 1 1978 Estimation of multiple random integrals and \(U\)-statistics. Zbl 1263.62091Major, Péter 1 2010 Sharp tail distribution estimates for the supremum of a class of sums of i.i.d. random variables. Zbl 1343.60022Major, Péter 1 2016 Limit theorems in statistical physics; on Dyson’s hierarchical model. Zbl 0684.60082Blekher, P. M.; Major, P. 1 1987 Sharp tail distribution estimates for the supremum of a class of sums of i.i.d. random variables. Zbl 1343.60022Major, Péter 1 2016 Multiple Wiener-Itô integrals. With applications to limit theorems. 2nd ed. Zbl 1301.60004Major, Péter 20 2014 On the estimation of multiple random integrals and \(U\)-statistics. Zbl 1280.60002Major, Péter 8 2013 Estimation of multiple random integrals and \(U\)-statistics. Zbl 1263.62091Major, Péter 1 2010 On a multivariate version of Bernstein’s inequality. Zbl 1127.60017Major, Péter 10 2007 An estimate on the supremum of a nice class of stochastic integrals and U-statistics. Zbl 1128.62063Major, Péter 10 2006 A multivariate version of Hoeffding’s inequality. Zbl 1110.60010Major, Peter 4 2006 Tail behaviour of multiple random integrals and \(U\)-statistics. Zbl 1189.60061Major, Péter 13 2005 Almost sure functional limit theorems. II: The case of independent random variables. Zbl 0993.60020Major, P. 2 2000 The limit behavior of elementary symmetric polynomials of i. i. d. random variables when their order tends to infinity. Zbl 0963.60021Major, Péter 3 1999 Almost sure functional limit theorems. I: The general case. Zbl 0921.60033Major, P. 3 1998 A counter-example in ergodic theory. Zbl 0864.47002Major, Péter 3 1996 Asymptotic distributions for weighted \(U\)-statistics. Zbl 0813.62014Major, Péter 14 1994 On the number of lattice points between two enlarged and randomly shifted copies of an oval. Zbl 0809.60026Cheng, Zheming; Lebowitz, Joel L.; Major, Péter 4 1994 Poisson law for the number of lattice points in a random strip with finite area. Zbl 0767.60010Major, Péter 4 1992 A note on the approximation of the uniform empirical process. Zbl 0703.60029Major, Peter 9 1990 The large-scale limit of Dyson’s hierarchical vector-valued model at low temperatures. The marginal case \(c=\sqrt{2}\). Zbl 0684.60083Blekher, P. M.; Major, P. 2 1989 Strong embedding of the estimator of the distribution function under random censorship. Zbl 0667.62024Major, P.; Rejtö, L. 52 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 0669.60096Bleher, P. M.; Major, P. 5 1988 On the tail behaviour of the distribution function of multiple stochastic integrals. Zbl 0628.60065Major, P. 2 1988 On the set visited once by a random walk. Zbl 0617.60068Major, Péter 1 1988 Critical phenomena and universal exponents in statistical physics. On Dyson’s hierarchical model. Zbl 0628.60101Bleher, P. M.; Major, P. 13 1987 Limit theorems in statistical physics; on Dyson’s hierarchical model. Zbl 0684.60082Blekher, P. M.; Major, P. 1 1987 Renormalization of Dyson’s hierarchical vector valued \(\Phi ^ 4\) model at low temperatures. Zbl 0587.60098Bleher, P. M.; Major, P. 5 1984 Central limit theorems for non-linear functionals of Gaussian fields. Zbl 0518.60023Breuer, Peter; Major, Peter 192 1983 Multiple Wiener-Ito integrals. With applications to limit theorems. Zbl 0451.60002Major, Peter 87 1981 Limit theorems for non-linear functionals of Gaussian sequence. Zbl 0444.60028Major, Peter 16 1981 On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063Dobrushin, R. L.; Major, P. 2 1981 On a class of self-similar fields. Zbl 0505.60064Major, P. 2 1981 On the effect of collisions on the motion of an atom in \(R^1\). Zbl 0449.60073Major, Peter; Szasz, Domokos 6 1980 Renormalizing the voter model. Space and space-time renormalization. Zbl 0513.60098Major, P. 3 1980 Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034Dobrushin, R. L.; Major, P. 290 1979 An improvement of Strassen’s invariance principle. Zbl 0392.60034Major, P. 17 1979 A local limit theorem for the convolution of probability measures on a compact connected group. Zbl 0397.60021Major, P.; Shlosman, S. B. 2 1979 On the invariance principle for sums of independent identically distributed random variables. Zbl 0408.60028Major, Peter 30 1978 On the empirical process when parameters are estimated. Zbl 0407.62011Csörgö, M.; Komlos, J.; Major, Peter; Revesz, P.; Tusnády, Gábor 1 1978 A note on Kolmogorov’s law of iterated logarithm. Zbl 0431.60033Major, P. 4 1977 An approximation of partial sums of independent RV’s and the sample DF. II. Zbl 0307.60045Komlós, J.; Major, Peter; Tusnády, Gábor 215 1976 The approximation of partial sums of independent r.v.’s. Zbl 0338.60031Major, Peter 57 1976 Approximation of partial sums of i.i.d. r.v.s when the summands have only two moments. Zbl 0338.60032Major, Peter 24 1976 An approximation of partial sums of independent RV’s, and the sample DF. I. Zbl 0308.60029Komlós, J.; Major, Peter; Tusnády, Gábor 405 1975 Weak convergence and embedding. Zbl 0342.60009Komlos, J.; Major, Peter; Tusnády, Gábor 4 1975 On a non-parametric estimation of the regression function. Zbl 0315.62020Major, P. 8 1974 A limit theorem for the Robbins-Monro approximation. Zbl 0253.62046Major, P.; Revesz, P. 15 1973 all cited Publications top 5 cited Publications 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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