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## Fazekas, István

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 Author ID: fazekas.istvan Published as: Fazekas, I.; Fazekas, Istvan; Fazekas, István Homepage: https://www.inf.unideb.hu/en/fazekas.istvan External Links: Math-Net.Ru · dblp
 Documents Indexed: 87 Publications since 1983, including 2 Books Reviewing Activity: 9 Reviews
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#### Co-Authors

 22 single-authored 20 Chuprunov, Alekseĭ Nikolaevich 9 Kukush, Oleksandr Georgiĭovych 6 Noszály, Csaba 6 Pecsora, Sándor 6 Porvázsnyik, Bettina 4 Perecsényi, Attila 4 Tómács, Tibor 3 Karácsony, Zsolt 3 Klesov, Oleg I. 3 Lauridsen, Jørgen 3 Rychlik, Zdzisław 2 Baran, Sándor 2 Túri, József 1 Arato, Matyas 1 Bagchi, Arunabha 1 Barta, Attila 1 Christofides, Tasos C. 1 Hadjikyriakou, Milto 1 Libor, Józsefné 1 Libor, Zsuzsa 1 Liese, Friedrich 1 Matuła, Przemsław 1 Terdik, György H. 1 Uzonyi, Noémi 1 Vas, Renáta 1 Ziemba, Maciej 1 Zwanzig, Silvelyn
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#### Serials

 13 Publicationes Mathematicae 9 Annales Mathematicae et Informaticae 6 Journal of Mathematical Sciences (New York) 5 Computers & Mathematics with Applications 3 Theory of Probability and its Applications 3 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 3 Discrete Mathematics and Applications 3 Journal of Inequalities and Applications 3 Theory of Stochastic Processes 2 Periodica Mathematica Hungarica 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Statistics & Probability Letters 2 Acta Mathematica Hungarica 2 Statistical Inference for Stochastic Processes 1 Analysis Mathematica 1 Lithuanian Mathematical Journal 1 Journal of Applied Probability 1 Mathematische Nachrichten 1 Studia Scientiarum Mathematicarum Hungarica 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Probability and Mathematical Statistics 1 Journal of Theoretical Probability 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Random Operators and Stochastic Equations 1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series 1 Discussiones Mathematicae. Probability and Statistics 1 Miskolc Mathematical Notes 1 Journal of Mathematical Inequalities 1 Acta Universitatis Sapientiae. Mathematica 1 Journal of Mathematics Research 1 Journal of Probability and Statistics 1 Special Matrices 1 Modern Stochastics. Theory and Applications 1 Open Mathematics
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#### Fields

 70 Probability theory and stochastic processes (60-XX) 20 Statistics (62-XX) 11 Combinatorics (05-XX) 4 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

47 Publications have been cited 179 times in 136 Documents Cited by Year
A general approach to the strong law of large numbers. Zbl 0991.60021
Fazekas, I.; Klesov, O.
2000
Asymptotic properties of an estimator in nonlinear functional errors-in-variables models with dependent error terms. Zbl 0911.62054
Fazekas, I.; Kukush, A. G.
1997
Almost sure functional limit theorems. Zbl 1050.60039
Fazekas, István; Rychlik, Zdzisław
2002
Strong laws of large numbers for pairwise independent random variables with multidimensional indices. Zbl 0913.60026
Fazekas, István; Tómács, Tibor
1998
Almost sure central limit theorems for random fields. Zbl 1028.60019
Fazekas, István; Rychlik, Zdzisław
2003
An almost sure functional limit theorem for the domain of geometric partial attraction of semistable laws. Zbl 1134.60026
Fazekas, István; Chuprunov, Alexey
2007
Limit theorems for the empirical distribution function in the spatial case. Zbl 1116.60324
Fazekas, István
2003
Convergence rates in the law of large numbers for arrays. Zbl 0772.60019
Fazekas, István
1992
On a general approach to the strong laws of large numbers. Zbl 1322.60021
Fazekas, I.
2014
Scale-free property for degrees and weights in a preferential attachment random graph model. Zbl 1307.05202
Fazekas, István; Porvázsnyik, Bettina
2013
Integral analogues of almost sure limit theorems. Zbl 1104.60013
Chuprunov, Alexey; Fazekas, István
2005
Correction of nonlinear orthogonal regression estimator. Zbl 1070.62053
Fazekas, I.; Kukush, A.; Zwanzig, S.
2004
Almost sure versions of some functional limit theorems. Zbl 1005.60047
Chuprunov, A.; Fazekas, I.
2002
On the Rosenthal inequality for mixing fields. Zbl 0986.60042
Fazekas, I.; Kukush, A. G.; Tómács, T.
2000
Almost sure versions of some analogues of the invariance principle. Zbl 0930.60017
Chuprunov, Alexey; Fazekas, István
1999
Convergence of random step lines to Ornstein-Uhlenbeck-type processes. Zbl 0928.60012
Chuprunov, A.; Fazekas, I.
1998
Poisson limit theorems for the generalized allocation scheme. Zbl 1449.60007
Chuprunov, Alexey; Fazekas, István
2019
General theorems on exponential and Rosenthal’s inequalities and on complete convergence. Zbl 1391.60053
Fazekas, István; Pecsora, Sándor; Porvázsnyik, Bettina
2018
General Bahr-Esseen inequalities and their applications. Zbl 1371.60044
Fazekas, István; Pecsora, Sándor
2017
Limit theorems for the weights and the degrees in an $$N$$-interactions random graph model. Zbl 1346.05269
Fazekas, István; Porvázsnyik, Bettina
2016
Scale-free property for degrees and weights in an $$N$$-interactions random graph model. Zbl 1360.05153
Fazekas, I.; Porvázsnyik, B.
2016
Asymptotic normality of kernel type density estimators for random fields. Zbl 1110.62050
Fazekas, István; Chuprunov, Alexey
2006
Burkholder’s inequality for multiindex martingales. Zbl 1111.60025
Fazekas, István
2005
Almost sure limit theorems for the Pearson statistic. Zbl 1057.60027
Chuprunov, A. N.; Fazekas, I.
2003
Asymptotic properties in space and time of an estimator in nonlinear functional error-in-variables models. Zbl 0953.62061
Fazekas, István; Baran, Sándor; Kukush, Alexander; Lauridsen, Jørgen
1999
A note on the weighted strong law of large numbers under general conditions. Zbl 1399.60040
Fazekas, István; Matuła, Przemsław; Ziemba, Maciej
2017
Weights of cliques in a random graph model based on three-interactions. Zbl 1320.05111
Fazekas, István; Noszály, Csaba; Perecsényi, Attila
2015
An analogue of the generalised allocation scheme: limit theorems for the maximum cell load. Zbl 1266.60040
Chuprunov, A. N.; Fazekas, I.
2012
An analogue of the generalised allocation scheme: limit theorems for the number of cells containing a given number of particles. Zbl 1274.60088
Chuprunov, A. N.; Fazekas, I.
2012
Inequalities and strong laws of large numbers for random allocations. Zbl 1120.60300
Chuprunov, A.; Fazekas, I.
2005
Infill asymptotics inside increasing domains for the least squares estimator in linear models. Zbl 0982.62078
Fazekas, István; Kukush, Alexander G.
2000
Asymptotic properties of estimators in nonlinear functional errors-in-variables with dependent error terms. Zbl 0919.62062
Fazekas, I.; Kukush, A. G.
1998
The $$N$$-star network evolution model. Zbl 1416.05258
Fazekas, István; Noszály, Csaba; Perecsényi, Attila
2019
An exponential inequality and strong limit theorems for conditional expectations. Zbl 1249.60045
Chuprunov, A.; Fazekas, I.
2010
An inequality for moments and its applications to the generalized allocation scheme. Zbl 1240.60057
Chuprunov, Alexey; Fazekas, István
2010
Central limit theorems for kernel type density estimators. Zbl 1181.62043
Fazekas, István
2009
Strong laws of large numbers for random forests. Zbl 1212.60031
Chuprunov, A.; Fazekas, I.
2009
Almost sure limit theorems for semi-selfsimilar processes. Zbl 1122.60033
Fazekas, István; Rychlik, Zdzisław
2005
A central limit theorem for random fields. Zbl 1064.60036
Fazekas, István; Chuprunov, Alexey
2004
A central limit theorem for mixing random fields and its statistical applications. Zbl 1023.60030
Fazekas, I.; Kukush, A. G.
2002
Strong laws of large numbers for sequences and fields. Zbl 0993.60030
Klesov, Oleg; Fazekas, István; Noszály, Csaba; Tómács, Tibor
1999
Asymptotic properties of an estimator in errors-in-variables models in the presence of validation data. Zbl 1043.62524
Fazekas, I.; Baran, S.; Lauridsen, J.
1999
On the Lagrange multiplier test for spatial correlation in econometric models. Zbl 0927.62013
Fazekas, I.; Lauridsen, J.
1999
Hellinger transform of Gaussian autoregressive processes. Zbl 0799.60033
Fazekas, I.
1994
Convergence rates in the Marcinkiewicz strong law of large numbers for Banach space valued random variables with multidimensional indices. Zbl 0607.60005
Fazekas, István
1985
Marcinkiewicz strong law of large numbers for B-valued random variables with multidimensional indices. Zbl 0549.60010
Fazekas, I.
1984
Convergence of vector-valued martingales with multidimensional indices. Zbl 0548.60006
Fazekas, István
1983
Poisson limit theorems for the generalized allocation scheme. Zbl 1449.60007
Chuprunov, Alexey; Fazekas, István
2019
The $$N$$-star network evolution model. Zbl 1416.05258
Fazekas, István; Noszály, Csaba; Perecsényi, Attila
2019
General theorems on exponential and Rosenthal’s inequalities and on complete convergence. Zbl 1391.60053
Fazekas, István; Pecsora, Sándor; Porvázsnyik, Bettina
2018
General Bahr-Esseen inequalities and their applications. Zbl 1371.60044
Fazekas, István; Pecsora, Sándor
2017
A note on the weighted strong law of large numbers under general conditions. Zbl 1399.60040
Fazekas, István; Matuła, Przemsław; Ziemba, Maciej
2017
Limit theorems for the weights and the degrees in an $$N$$-interactions random graph model. Zbl 1346.05269
Fazekas, István; Porvázsnyik, Bettina
2016
Scale-free property for degrees and weights in an $$N$$-interactions random graph model. Zbl 1360.05153
Fazekas, I.; Porvázsnyik, B.
2016
Weights of cliques in a random graph model based on three-interactions. Zbl 1320.05111
Fazekas, István; Noszály, Csaba; Perecsényi, Attila
2015
On a general approach to the strong laws of large numbers. Zbl 1322.60021
Fazekas, I.
2014
Scale-free property for degrees and weights in a preferential attachment random graph model. Zbl 1307.05202
Fazekas, István; Porvázsnyik, Bettina
2013
An analogue of the generalised allocation scheme: limit theorems for the maximum cell load. Zbl 1266.60040
Chuprunov, A. N.; Fazekas, I.
2012
An analogue of the generalised allocation scheme: limit theorems for the number of cells containing a given number of particles. Zbl 1274.60088
Chuprunov, A. N.; Fazekas, I.
2012
An exponential inequality and strong limit theorems for conditional expectations. Zbl 1249.60045
Chuprunov, A.; Fazekas, I.
2010
An inequality for moments and its applications to the generalized allocation scheme. Zbl 1240.60057
Chuprunov, Alexey; Fazekas, István
2010
Central limit theorems for kernel type density estimators. Zbl 1181.62043
Fazekas, István
2009
Strong laws of large numbers for random forests. Zbl 1212.60031
Chuprunov, A.; Fazekas, I.
2009
An almost sure functional limit theorem for the domain of geometric partial attraction of semistable laws. Zbl 1134.60026
Fazekas, István; Chuprunov, Alexey
2007
Asymptotic normality of kernel type density estimators for random fields. Zbl 1110.62050
Fazekas, István; Chuprunov, Alexey
2006
Integral analogues of almost sure limit theorems. Zbl 1104.60013
Chuprunov, Alexey; Fazekas, István
2005
Burkholder’s inequality for multiindex martingales. Zbl 1111.60025
Fazekas, István
2005
Inequalities and strong laws of large numbers for random allocations. Zbl 1120.60300
Chuprunov, A.; Fazekas, I.
2005
Almost sure limit theorems for semi-selfsimilar processes. Zbl 1122.60033
Fazekas, István; Rychlik, Zdzisław
2005
Correction of nonlinear orthogonal regression estimator. Zbl 1070.62053
Fazekas, I.; Kukush, A.; Zwanzig, S.
2004
A central limit theorem for random fields. Zbl 1064.60036
Fazekas, István; Chuprunov, Alexey
2004
Almost sure central limit theorems for random fields. Zbl 1028.60019
Fazekas, István; Rychlik, Zdzisław
2003
Limit theorems for the empirical distribution function in the spatial case. Zbl 1116.60324
Fazekas, István
2003
Almost sure limit theorems for the Pearson statistic. Zbl 1057.60027
Chuprunov, A. N.; Fazekas, I.
2003
Almost sure functional limit theorems. Zbl 1050.60039
Fazekas, István; Rychlik, Zdzisław
2002
Almost sure versions of some functional limit theorems. Zbl 1005.60047
Chuprunov, A.; Fazekas, I.
2002
A central limit theorem for mixing random fields and its statistical applications. Zbl 1023.60030
Fazekas, I.; Kukush, A. G.
2002
A general approach to the strong law of large numbers. Zbl 0991.60021
Fazekas, I.; Klesov, O.
2000
On the Rosenthal inequality for mixing fields. Zbl 0986.60042
Fazekas, I.; Kukush, A. G.; Tómács, T.
2000
Infill asymptotics inside increasing domains for the least squares estimator in linear models. Zbl 0982.62078
Fazekas, István; Kukush, Alexander G.
2000
Almost sure versions of some analogues of the invariance principle. Zbl 0930.60017
Chuprunov, Alexey; Fazekas, István
1999
Asymptotic properties in space and time of an estimator in nonlinear functional error-in-variables models. Zbl 0953.62061
Fazekas, István; Baran, Sándor; Kukush, Alexander; Lauridsen, Jørgen
1999
Strong laws of large numbers for sequences and fields. Zbl 0993.60030
Klesov, Oleg; Fazekas, István; Noszály, Csaba; Tómács, Tibor
1999
Asymptotic properties of an estimator in errors-in-variables models in the presence of validation data. Zbl 1043.62524
Fazekas, I.; Baran, S.; Lauridsen, J.
1999
On the Lagrange multiplier test for spatial correlation in econometric models. Zbl 0927.62013
Fazekas, I.; Lauridsen, J.
1999
Strong laws of large numbers for pairwise independent random variables with multidimensional indices. Zbl 0913.60026
Fazekas, István; Tómács, Tibor
1998
Convergence of random step lines to Ornstein-Uhlenbeck-type processes. Zbl 0928.60012
Chuprunov, A.; Fazekas, I.
1998
Asymptotic properties of estimators in nonlinear functional errors-in-variables with dependent error terms. Zbl 0919.62062
Fazekas, I.; Kukush, A. G.
1998
Asymptotic properties of an estimator in nonlinear functional errors-in-variables models with dependent error terms. Zbl 0911.62054
Fazekas, I.; Kukush, A. G.
1997
Hellinger transform of Gaussian autoregressive processes. Zbl 0799.60033
Fazekas, I.
1994
Convergence rates in the law of large numbers for arrays. Zbl 0772.60019
Fazekas, István
1992
Convergence rates in the Marcinkiewicz strong law of large numbers for Banach space valued random variables with multidimensional indices. Zbl 0607.60005
Fazekas, István
1985
Marcinkiewicz strong law of large numbers for B-valued random variables with multidimensional indices. Zbl 0549.60010
Fazekas, I.
1984
Convergence of vector-valued martingales with multidimensional indices. Zbl 0548.60006
Fazekas, István
1983
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#### Cited by 174 Authors

 23 Fazekas, István 13 Hu, Shuhe 13 Wang, Xuejun 12 Chuprunov, Alekseĭ Nikolaevich 6 Yang, Wenzhi 5 Sung, Soohak 4 Kuczmaszewska, Anna 4 Miao, Yu 4 Noszály, Csaba 4 Pecsora, Sándor 4 Terekhova, L. P. 3 Baran, Sándor 3 Chen, Pingyan 3 Liang, Hanying 3 Matuła, Przemysław 3 Perecsényi, Attila 3 Porvázsnyik, Bettina 3 Shen, Yan 3 Wang, Jiangfeng 2 Abdushukurov, Faĭzikhutdin Abdurakhimovich 2 Adler, André Bruce 2 Chen, Shouquan 2 Chen, Zhiyong 2 Dudziński, Marcin 2 Enikeeva, Z. A. 2 Fan, Guoliang 2 Hušková, Marie 2 Kim, Taeyoon 2 Kukush, Oleksandr Georgiĭovych 2 Łagodowski, Zbigniew A. 2 Lauridsen, Jørgen 2 Le Van Dung 2 Lin, Zhengyan 2 Nguyên Duy Tiẽn 2 Park, Jeong-Soo 2 Permyakova, E. E. 2 Quang, Nguyen Van 2 Shen, Aiting 2 Sung, Sa Hong 2 van Huan, Nguyen 2 Zhao, Fangfang 1 Al-Sharadqah, Ali 1 Alkhuzani, M. 1 Alsaied, G. 1 Amini-Dehak, Mohammad 1 Bai, Jushan 1 Bai, Peifan 1 Becker-Kern, Peter 1 Benšić, Mirta 1 Berkes, István 1 Bernstein, Dennis S. 1 Borovskikh, Yuri V. 1 Butucea, Cristina 1 Chaabane, Faouzi 1 Chen, Guijing 1 Chen, Pengyuan 1 Chen, Yanping 1 Chen, Zhicheng 1 Cheplyukova, Irina A. 1 Chernov, Nikolai Ivanovich 1 Chochola, Ondřej 1 Chojnacki, Wojciech 1 Cressie, Noel A. C. 1 Crujeiras, Rosa María 1 Dang Hung Thang 1 Deng, Xin 1 Denker, Manfred 1 Ekström, Magnus 1 Filzmoser, Peter 1 Furmańczyk, Konrad 1 Geng, Weiqiang 1 Górka, Przemysław 1 Gut, Allan 1 Hadjikyriakou, Milto 1 Han, Xu 1 Hlávka, Zdeněk 1 Hu, Ming 1 Hu, Tianchen 1 Hu, Yijun 1 Hutter, Marcus 1 Hwang, Sun Young 1 Ivanoff, B. Gail 1 Jun, Byung-Eul 1 Karácsony, Zsolt 1 Kasprzak, Mikołaj J. 1 Kebaier, Ahmed 1 Kirch, Claudia 1 Klesov, Oleg I. 1 Ko, Mi-Hwa 1 Kornak, John 1 Lan, Yuting 1 Lê Van Thanh 1 Lenart, Łukasz 1 Li, Nan 1 Li, Nan 1 Li, Xiaoqin 1 Liese, Friedrich 1 Lim, Chae Young 1 Ling, Nengxiang 1 Markevičiūtė, Jurgita ...and 74 more Authors
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#### Cited in 65 Serials

 20 Statistics & Probability Letters 8 Journal of Inequalities and Applications 6 Journal of Mathematical Sciences (New York) 5 Acta Mathematica Hungarica 5 Russian Mathematics 4 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Lithuanian Mathematical Journal 4 Communications in Statistics. Theory and Methods 4 Statistical Papers 4 Journal of the Korean Statistical Society 3 Statistics 3 Journal of Theoretical Probability 2 Journal of Multivariate Analysis 2 Computational Statistics and Data Analysis 2 Test 2 Discrete Dynamics in Nature and Society 2 Lobachevskii Journal of Mathematics 2 Journal of Mathematical Inequalities 2 AStA. Advances in Statistical Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Modern Stochastics. Theory and Applications 2 Open Mathematics 1 International Journal of Control 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Scandinavian Journal of Statistics 1 Annals of the Institute of Statistical Mathematics 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Automatica 1 Demonstratio Mathematica 1 Journal of Applied Probability 1 Journal of Econometrics 1 Journal of Statistical Planning and Inference 1 Theoretical Computer Science 1 Moscow University Computational Mathematics and Cybernetics 1 Insurance Mathematics & Economics 1 Journal of Time Series Analysis 1 Probability and Mathematical Statistics 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Statistical Science 1 Applied Mathematics Letters 1 Science in China. Series A 1 Discrete Mathematics and Applications 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Mathematical Imaging and Vision 1 Georgian Mathematical Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Statistical Inference for Stochastic Processes 1 Acta Mathematica Sinica. English Series 1 Brazilian Journal of Probability and Statistics 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Statistical Theory and Practice 1 Electronic Journal of Statistics 1 Mathematical Geosciences 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Journal of Probability and Statistics 1 Sankhyā. Series A 1 Special Matrices
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#### Cited in 17 Fields

 105 Probability theory and stochastic processes (60-XX) 41 Statistics (62-XX) 8 Combinatorics (05-XX) 5 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Biology and other natural sciences (92-XX)