Edit Profile (opens in new tab) Bulinskiĭ, Aleksandr Vadimovich Co-Author Distance Author ID: bulinskii.aleksandr-vadimovich Published as: Bulinskij, A. V.; Bulinski, Alexander; Bulinski, A. V.; Bulinskii, A. V.; Bulinskii, Alexandre V.; Bulinski, Alexander V.; Bulinskii, Alexandre; Bulinski, Alexandre; Bulinskiĭ, Al. V.; Bulinski, Al. V.; Bulinskiĭ, A. V. more...less Further Spellings: Булинский Александр Вадимович External Links: MGP · Wikidata · Math-Net.Ru · IdRef Documents Indexed: 85 Publications since 1974, including 1 Book and 5 Additional arXiv Preprints Reviewing Activity: 186 Reviews Co-Authors: 38 Co-Authors with 44 Joint Publications 1,722 Co-Co-Authors all top 5 Co-Authors 40 single-authored 4 Lifshits, Mikhail A. 3 Kozhevin, Alexey Alexandrovich 3 Rakitko, Alexander S. 3 Spodarev, Evgueni 2 Dimitrov, Denis 2 Doukhan, Paul 2 Khrennikov, Andreĭ Yur’evich 2 Kolmogorov, Andreĭ Nikolaevich 2 Molchanov, Stanislav Alekseevich 2 Shashkin, A. P. 2 Shashkin, Alexey 2 Shiryaev, Al’bert Nikolaevich 2 Usmanov, M. R. 2 Verdenskaya, N. V. 2 Zhurbenko, Igor G. 1 Amosov, Grigoriĭ Gennad’evich 1 Bakhtin, Yuri Yu. 1 Borovkov, Aleksandr Alekseevich 1 Bukhshtaber, Viktor Matveevich 1 Bulinskiĭ, Andreĭ Vadimovich 1 Butkovskiĭ, Oleg Yaroslavovich 1 Chebotarev, Alexandr M. 1 Dil’man, Stepan Valer’evich 1 Helemskii, Alexander Ya. 1 Kholevo, Aleksandr Semënovich 1 Ibragimov, Il’dar Abdullovich 1 Keane, Michael S. 1 Kryzhanovskaya, Natalya 1 Maslov, Viktor Pavlovich 1 Millionshchikov, Nikolaĭ Vladimirovich 1 Shabanovich, E. 1 Shipilov, O. I. 1 Shirokov, Maksim Evgen’evich 1 Suquet, Charles 1 Timmermann, Florian 1 Vershik, Anatoliĭ Moiseevich 1 Vronskiĭ, M. A. 1 Yaskov, Pavel A. all top 5 Serials 13 Theory of Probability and its Applications 12 Soviet Mathematics. Doklady 8 Teoriya Veroyatnosteĭ i eë Primeneniya 4 Russian Mathematical Surveys 4 Journal of Mathematical Sciences (New York) 4 Fundamental’naya i Prikladnaya Matematika 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Moscow University Mathematics Bulletin 2 Statistics & Probability Letters 2 Doklady Mathematics 1 Mathematical Notes 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Journal of Multivariate Analysis 1 Journal of Soviet Mathematics 1 Probability and Mathematical Statistics 1 Communications in Statistics. Simulation and Computation 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Vestnik St. Petersburg University. Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Bernoulli 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 Advanced Series on Statistical Science & Applied Probability all top 5 Fields 68 Probability theory and stochastic processes (60-XX) 28 Statistics (62-XX) 3 History and biography (01-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 260 times in 191 Documents Cited by ▼ Year ▼ Limit theorems for associated fields and related systems. Zbl 1154.60037 Bulinski, Alexander; Shashkin, Alexey 80 2007 Central limit theorems for the excursion set volumes of weakly dependent random fields. Zbl 1239.60017 Bulinski, Alexander; Spodarev, Evgeny; Timmermann, Florian 29 2012 Normal approximation for quasi-associated random fields. Zbl 0989.60052 Bulinski, Alexander; Suquet, Charles 18 2001 On the convergence rates in the CLT for positively and negatively dependent random fields. Zbl 0873.60011 Bulinski, A. V. 13 1996 Asymptotical behaviour for some functionals of positively and negatively dependent random fields. Zbl 0968.60044 Bulinskij, A. V.; Shabanovich, E. 12 1998 Statistical estimation of the Shannon entropy. Zbl 1411.60049 Bulinski, Alexander; Dimitrov, Denis 8 2019 Limit theorems under weak dependence conditions. Zbl 0648.60025 Bulinskii, A. V. 8 1987 Invariance principle for associated random fields. Zbl 0898.60043 Bulinski, A. V.; Keane, M. S. 8 1996 Strong invariance principle for dependent random fields. Zbl 1130.60041 Bulinski, Alexander; Shashkin, Alexey 8 2006 Statistical estimation of conditional Shannon entropy. Zbl 1418.60026 Bulinski, Alexander; Kozhevin, Alexey 5 2019 Convergence rate in CLT for vector-valued random fields with self-normalization. Zbl 1115.60025 Bulinski, Alexander; Kryzhanovskaya, Natalya 5 2006 The central limit theorem for random fields. Zbl 0351.60027 Bulinskij, A. V.; Zhurbenko, I. G. 4 1976 A central limit theorem for additive random functions. Zbl 0382.60025 Bulinskij, A. V.; Zhurbenko, I. G. 4 1976 Rates in the CLT for sums of dependent multiindexed random vectors. Zbl 1071.60013 Bulinskii, A. V.; Shashkin, A. P. 4 2004 A statistical version of the central limit theorem for vector-valued random fields. Zbl 1070.62083 Bulinskij, A. V. 4 2004 Conditional central limit theorem. Zbl 1377.60039 Bulinski, A. V. 3 2017 A new variant of the functional law of the iterated logarithm. Zbl 0436.60031 Bulinskij, A. V. 3 1980 Moment inequalities for sums of dependent multi-indexed random variables. Zbl 0946.60017 Bakhtin, Yu. Yu.; Bulinskij, A. V. 3 1997 On the speed of convergence in the central limit theorem for additive random functions. Zbl 0391.60025 Bulinskii, A. V. 3 1977 Vitesse de convergence dans le théorème de limite centrale pour des champs mélangeants satisfaisant des hypothèses de moment faibles. (Rates in the central limit theorem for mixing random fields satisfying low moment assumptions). Zbl 0719.60020 Bulinskii, Alexandre V.; Doukhan, Paul 3 1990 The functional law of the iterated logarithm for associated random fields. Zbl 0871.60029 Bulinskij, A. V. 3 1995 Strong invariance principle for dependent multi-indexed random variables. Zbl 1137.60015 Bulinski, A. V.; Shashkin, A. P. 3 2005 A new variant of the functional law of the iterated logarithm. Zbl 0462.60035 Bulinskij, A. V. 2 1981 On foundation of the dimensionality reduction method for explanatory variables. Zbl 1307.92015 Bulinski, A. V. 2 2014 On measure of dependence close to the maximal correlation coefficient. Zbl 0584.62084 Bulinskij, A. V. 2 1984 Central limit theorems for weakly dependent random fields. Zbl 1300.60071 Bulinski, Alexander; Spodarev, Evgeny 2 2013 Rate of convergence in the central limit theorem for fields of associated random variables. Zbl 0849.60015 Bulinskij, A. V. 2 1995 Rate of convergence in the functional law of the iterated logarithm with non-standard normalizing factors. Zbl 0859.60032 Bulinskij, A. V.; Lifshits, M. A. 2 1995 Nonclassical total probability formula and quantum interference of probabilities. Zbl 1118.81005 Bulinski, Alexander; Khrennikov, Andrei 2 2004 On the functional law of the iterated logarithm. Zbl 0415.60028 Bulinskij, A. V. 1 1978 The central limit theorem for random fields with strong and weak dependence. Zbl 0435.60047 Bulinskij, A. V. 1 1979 Linear sampling estimates of sums. Zbl 0447.62014 Bulinskij, A. V.; Kolmogorov, A. N. 1 1980 Asymptotic normality of random fields with mixing. Zbl 0597.60049 Bulinskij, A. V. 1 1985 Asymptotic normality of a solution of Burgers equations with random initial conditions. Zbl 0731.60055 Bulinskij, A. V.; Molchanov, S. A. 1 1991 Estimation of nonbinary random response. Zbl 1306.62153 Bulinski, A. V.; Rakitko, A. S. 1 2014 Inégalités de mélange fort utilisant des normes d’Orlicz. (Strong mixing moment inequalities using Orlicz norms). Zbl 0659.60009 Bulinskii, Alexandre; Doukhan, Paul 1 1987 Asymptotical normality of a solution of Burgers’ equation with random initial data. Zbl 0774.60057 Bulinskij, A. V.; Molchanov, S. A. 1 1991 Inequalities for the moments of sums of associated multi-indexed variables. Zbl 0811.60012 Bulinskij, A. V. 1 1993 Central limit theorem for the solution of the multidimensional Burgers equation with random data. Zbl 0788.60034 Bulinskij, A. V. 1 1992 Some problems of asymptotical analysis of nonlinear diffusion. Zbl 0818.60047 Bulinskii, A. V. 1 1992 Central limit theorem for positively associated stationary random fields. Zbl 1253.60025 Bulinski, A. V. 1 2011 Introduction to random fields. Zbl 1300.60070 Bulinski, Alexander; Spodarev, Evgeny 1 2013 Simulation and analytical approach to the identification of significant factors. Zbl 1345.60036 Bulinski, Alexander V.; Rakitko, Alexander S. 1 2016 Statistical estimation of mutual information for mixed model. Zbl 1477.62074 Bulinski, Alexander; Kozhevin, Alexey 1 2021 Statistical estimation of mutual information for mixed model. Zbl 1477.62074 Bulinski, Alexander; Kozhevin, Alexey 1 2021 Statistical estimation of the Shannon entropy. Zbl 1411.60049 Bulinski, Alexander; Dimitrov, Denis 8 2019 Statistical estimation of conditional Shannon entropy. Zbl 1418.60026 Bulinski, Alexander; Kozhevin, Alexey 5 2019 Conditional central limit theorem. Zbl 1377.60039 Bulinski, A. V. 3 2017 Simulation and analytical approach to the identification of significant factors. Zbl 1345.60036 Bulinski, Alexander V.; Rakitko, Alexander S. 1 2016 On foundation of the dimensionality reduction method for explanatory variables. Zbl 1307.92015 Bulinski, A. V. 2 2014 Estimation of nonbinary random response. Zbl 1306.62153 Bulinski, A. V.; Rakitko, A. S. 1 2014 Central limit theorems for weakly dependent random fields. Zbl 1300.60071 Bulinski, Alexander; Spodarev, Evgeny 2 2013 Introduction to random fields. Zbl 1300.60070 Bulinski, Alexander; Spodarev, Evgeny 1 2013 Central limit theorems for the excursion set volumes of weakly dependent random fields. Zbl 1239.60017 Bulinski, Alexander; Spodarev, Evgeny; Timmermann, Florian 29 2012 Central limit theorem for positively associated stationary random fields. Zbl 1253.60025 Bulinski, A. V. 1 2011 Limit theorems for associated fields and related systems. Zbl 1154.60037 Bulinski, Alexander; Shashkin, Alexey 80 2007 Strong invariance principle for dependent random fields. Zbl 1130.60041 Bulinski, Alexander; Shashkin, Alexey 8 2006 Convergence rate in CLT for vector-valued random fields with self-normalization. Zbl 1115.60025 Bulinski, Alexander; Kryzhanovskaya, Natalya 5 2006 Strong invariance principle for dependent multi-indexed random variables. Zbl 1137.60015 Bulinski, A. V.; Shashkin, A. P. 3 2005 Rates in the CLT for sums of dependent multiindexed random vectors. Zbl 1071.60013 Bulinskii, A. V.; Shashkin, A. P. 4 2004 A statistical version of the central limit theorem for vector-valued random fields. Zbl 1070.62083 Bulinskij, A. V. 4 2004 Nonclassical total probability formula and quantum interference of probabilities. Zbl 1118.81005 Bulinski, Alexander; Khrennikov, Andrei 2 2004 Normal approximation for quasi-associated random fields. Zbl 0989.60052 Bulinski, Alexander; Suquet, Charles 18 2001 Asymptotical behaviour for some functionals of positively and negatively dependent random fields. Zbl 0968.60044 Bulinskij, A. V.; Shabanovich, E. 12 1998 Moment inequalities for sums of dependent multi-indexed random variables. Zbl 0946.60017 Bakhtin, Yu. Yu.; Bulinskij, A. V. 3 1997 On the convergence rates in the CLT for positively and negatively dependent random fields. Zbl 0873.60011 Bulinski, A. V. 13 1996 Invariance principle for associated random fields. Zbl 0898.60043 Bulinski, A. V.; Keane, M. S. 8 1996 The functional law of the iterated logarithm for associated random fields. Zbl 0871.60029 Bulinskij, A. V. 3 1995 Rate of convergence in the central limit theorem for fields of associated random variables. Zbl 0849.60015 Bulinskij, A. V. 2 1995 Rate of convergence in the functional law of the iterated logarithm with non-standard normalizing factors. Zbl 0859.60032 Bulinskij, A. V.; Lifshits, M. A. 2 1995 Inequalities for the moments of sums of associated multi-indexed variables. Zbl 0811.60012 Bulinskij, A. V. 1 1993 Central limit theorem for the solution of the multidimensional Burgers equation with random data. Zbl 0788.60034 Bulinskij, A. V. 1 1992 Some problems of asymptotical analysis of nonlinear diffusion. Zbl 0818.60047 Bulinskii, A. V. 1 1992 Asymptotic normality of a solution of Burgers equations with random initial conditions. Zbl 0731.60055 Bulinskij, A. V.; Molchanov, S. A. 1 1991 Asymptotical normality of a solution of Burgers’ equation with random initial data. Zbl 0774.60057 Bulinskij, A. V.; Molchanov, S. A. 1 1991 Vitesse de convergence dans le théorème de limite centrale pour des champs mélangeants satisfaisant des hypothèses de moment faibles. (Rates in the central limit theorem for mixing random fields satisfying low moment assumptions). Zbl 0719.60020 Bulinskii, Alexandre V.; Doukhan, Paul 3 1990 Limit theorems under weak dependence conditions. Zbl 0648.60025 Bulinskii, A. V. 8 1987 Inégalités de mélange fort utilisant des normes d’Orlicz. (Strong mixing moment inequalities using Orlicz norms). Zbl 0659.60009 Bulinskii, Alexandre; Doukhan, Paul 1 1987 Asymptotic normality of random fields with mixing. Zbl 0597.60049 Bulinskij, A. V. 1 1985 On measure of dependence close to the maximal correlation coefficient. Zbl 0584.62084 Bulinskij, A. V. 2 1984 A new variant of the functional law of the iterated logarithm. Zbl 0462.60035 Bulinskij, A. V. 2 1981 A new variant of the functional law of the iterated logarithm. Zbl 0436.60031 Bulinskij, A. V. 3 1980 Linear sampling estimates of sums. Zbl 0447.62014 Bulinskij, A. V.; Kolmogorov, A. N. 1 1980 The central limit theorem for random fields with strong and weak dependence. Zbl 0435.60047 Bulinskij, A. V. 1 1979 On the functional law of the iterated logarithm. Zbl 0415.60028 Bulinskij, A. V. 1 1978 On the speed of convergence in the central limit theorem for additive random functions. Zbl 0391.60025 Bulinskii, A. V. 3 1977 The central limit theorem for random fields. Zbl 0351.60027 Bulinskij, A. V.; Zhurbenko, I. G. 4 1976 A central limit theorem for additive random functions. Zbl 0382.60025 Bulinskij, A. V.; Zhurbenko, I. G. 4 1976 all cited Publications top 5 cited Publications all top 5 Cited by 234 Authors 10 Bulinskiĭ, Aleksandr Vadimovich 9 Spodarev, Evgueni 7 Leonenko, Nikolai N. 6 Dewan, Isha 6 Tatachak, Abdelkader 5 Makogin, Vitalii 5 Matuła, Przemysław 4 Garg, Mansi 4 Jakubowski, Adam 4 Ko, Mi-Hwa 4 Lachièze-Rey, Raphaël 4 Laksaci, Ali 4 Olenko, Andriy Yakovych 3 Amini-Dehak, Mohammad 3 Arab, Idir 3 Bradley, Richard C. jun. 3 Demichev, V. P. 3 Di Bernardino, Elena 3 Doukhan, Paul 3 Guessoum, Zohra 3 Jenish, Nazgul 3 Kabluchko, Zakhar A. 3 Kozhevin, Alexey Alexandrovich 3 Łagodowski, Zbigniew A. 3 Li, Xiaoqin 3 Louhichi, Sana 3 Naderi, Habib 3 Oesting, Marco 3 Ould-Saïd, Elias 3 Rapp, Albert 3 Shashkin, A. P. 3 Surgailis, Donatas 3 Yang, Wenzhi 3 Ziemba, Maciej 2 Balan, Raluca M. 2 Biermé, Hermine 2 Bouzebda, Salim 2 Bozorgnia, Abolghasem 2 Bucchia, Béatrice 2 Cadirci, Mehmet Siddik 2 Curato, Imma Valentina 2 Dahmani, Abdelnasser 2 Estrade, Anne 2 Giraudo, Davide 2 Ivanoff, B. Gail 2 Kampf, Jürgen 2 Kim, Tae-Sung 2 Last, Günter 2 Lifshits, Mikhail A. 2 Marynych, Alexander V. 2 Masry, Elias 2 Mohammedi, Mustapha 2 Omari, Dareen 2 Prakasa Rao, B. L. S. 2 Prucha, Ingmar R. 2 Rakitko, Alexander S. 2 Shashkin, Alexey 2 Shen, Yan 2 Stelzer, Robert 2 Szekli, Ryszard 2 Truquet, Lionel 2 Volodin, Andrei I. 2 Yogeshwaran, Dhandapani 1 Adjoudj, Latifa 1 Afanas’ev, Valeriĭ Ivanovich 1 Ahmed, Ait Saidi 1 Alishahi, Kasra 1 Allahverdyan, Armen E. 1 Alonso-Ruiz, Patricia 1 Aminev, F. A. 1 Andres, Sebastian 1 Attaoui, Said 1 Banerjee, Moulinath 1 Bardet, Jean-Marc 1 Barzegar, Milad 1 Bashtova, Elena 1 Bey, Siham 1 Bianchi, Annamaria 1 Boukhari, Fakhreddine 1 Brandes, Dirk-Philip 1 Budkov, Dmitrii S. 1 Cai, Guanghui 1 Chen, Jia 1 Chen, Zhiyong 1 Chikr Elmezouar, Zouaoui 1 Choi, Yong-Kab 1 Cotsakis, Ryan 1 Davydov, Yu. A. 1 Dedecker, Jérôme 1 Degui, Li 1 Deheuvels, Paul 1 Delyon, Bernard 1 Dermoune, Azzouz 1 Desolneux, Agnès 1 Dey, Partha Sarathi 1 Ding, Saisai 1 Dombry, Clément 1 Dong, Xiang 1 Dresvyanskiy, Denis 1 Dubrovin, Vyacheslav Timofeevich ...and 134 more Authors all top 5 Cited in 81 Serials 17 Statistics & Probability Letters 12 Stochastic Processes and their Applications 7 Theory of Probability and its Applications 7 Journal of Applied Probability 7 Communications in Statistics. Theory and Methods 6 Journal of Multivariate Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 Mathematical Notes 5 The Annals of Probability 5 Electronic Journal of Statistics 4 Lithuanian Mathematical Journal 4 Journal of Econometrics 4 Journal of Statistical Planning and Inference 3 Journal of Mathematical Analysis and Applications 3 Metrika 3 The Annals of Applied Probability 3 Communications in Statistics. Simulation and Computation 3 Theory of Probability and Mathematical Statistics 3 Journal of Mathematical Sciences (New York) 3 Bernoulli 3 Statistical Inference for Stochastic Processes 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Statistical Physics 2 Rocky Mountain Journal of Mathematics 2 Scandinavian Journal of Statistics 2 Ukrainian Mathematical Journal 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Probability Theory and Related Fields 2 Journal of Theoretical Probability 2 Methodology and Computing in Applied Probability 2 Lobachevskii Journal of Mathematics 2 Brazilian Journal of Probability and Statistics 2 Stochastics 2 ISRN Probability and Statistics 2 Modern Stochastics. Theory and Applications 1 Advances in Applied Probability 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Acta Mathematica Vietnamica 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Biometrical Journal 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 Metron 1 Results in Mathematics 1 Journal of Time Series Analysis 1 Statistics 1 Sequential Analysis 1 Journal of Applied Mathematics and Stochastic Analysis 1 Siberian Advances in Mathematics 1 Discrete Mathematics and Applications 1 Computational Statistics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Computational Statistics and Data Analysis 1 Vestnik St. Petersburg University. Mathematics 1 Cybernetics and Systems Analysis 1 Applied Mathematics. Series B (English Edition) 1 Mathematical Methods of Statistics 1 Statistical Papers 1 Electronic Journal of Probability 1 Doklady Mathematics 1 Open Systems & Information Dynamics 1 Revista Matemática Complutense 1 Journal of Applied Statistics 1 New Journal of Physics 1 Probability in the Engineering and Informational Sciences 1 The ANZIAM Journal 1 Journal of Machine Learning Research (JMLR) 1 Central European Journal of Mathematics 1 REVSTAT 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of the Korean Statistical Society 1 Applications and Applied Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Mathematical Inequalities 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Sankhyā. Series B 1 Statistics and Computing 1 Mathematical Sciences all top 5 Cited in 20 Fields 147 Probability theory and stochastic processes (60-XX) 82 Statistics (62-XX) 5 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Numerical analysis (65-XX) 3 Number theory (11-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.