Edit Profile Rio, Emmanuel Compute Distance To: Compute Author ID: rio.emmanuel Published as: Rio, E.; Rio, Emmanuel Homepage: http://lmv.math.cnrs.fr/annuaire/emmanuel-rio/ External Links: ResearchGate Documents Indexed: 51 Publications since 1993, including 3 Books all top 5 Co-Authors 32 single-authored 7 Merlevède, Florence 5 Dedecker, Jérôme 3 Massart, Pascal 2 Bercu, Bernard 2 Doukhan, Paul 2 Louhichi, Sana 2 Peligrad, Magda 1 Del Moral, Pierre 1 Delyon, Bernard 1 Gassiat, Elisabeth 1 Klein, Timo 1 Liu, Quansheng 1 Rouault, Alain all top 5 Serials 7 The Annals of Probability 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Probability Theory and Related Fields 6 Electronic Communications in Probability 4 Electronic Journal of Probability 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Theoretical Probability 2 Stochastic Processes and their Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 The Annals of Applied Probability 1 Mathématiques & Applications (Berlin) 1 Probability Theory and Stochastic Modelling 1 SpringerBriefs in Mathematics all top 5 Fields 50 Probability theory and stochastic processes (60-XX) 9 Statistics (62-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 48 Publications have been cited 867 times in 653 Documents Cited by ▼ Year ▼ Asymptotic theory of weakly dependent stochastic processes. Zbl 0944.60008Rio, Emmanuel 103 2000 Invariance principles for absolutely regular empirical processes. Zbl 0817.60028Doukhan, Paul; Massart, Pascal; Rio, Emmanuel 70 1995 The functional central limit theorem for strongly mixing processes. Zbl 0790.60037Doukhan, Paul; Massart, Pascal; Rio, Emmanuel 59 1994 Concentration around the mean for maxima of empirical processes. Zbl 1066.60023Klein, T.; Rio, E. 56 2005 The functional law of the iterated logarithm for stationary strongly mixing sequences. Zbl 0833.60024Rio, Emmanuel 56 1995 On the functional central limit theorem for stationary processes. Zbl 0949.60049Dedecker, Jérôme; Rio, Emmanuel 46 2000 Covariance inequalities for strongly mixing processes. Zbl 0798.60027Rio, Emmanuel 39 1993 A Bernstein type inequality and moderate deviations for weakly dependent sequences. Zbl 1242.60020Merlevède, Florence; Peligrad, Magda; Rio, Emmanuel 38 2011 About the Berry-Esseen theorem for weakly dependent sequences. Zbl 0838.60017Rio, Emmanuel 36 1996 Bernstein inequality and moderate deviations under strong mixing conditions. Zbl 1243.60019Merlevède, Florence; Peligrad, Magda; Rio, Emmanuel 29 2009 About the Lindeberg method for strongly mixing sequences. Zbl 0869.60021Rio, Emmanuel 26 1995 A maximal inequality and dependent Marcinkiewicz-Zygmund strong laws. Zbl 0836.60026Rio, Emmanuel 26 1995 Local invariance principles and their application to density estimation. Zbl 0794.60019Rio, Emmanuel 25 1994 Upper bounds for minimal distances in the central limit theorem. Zbl 1175.60020Rio, Emmanuel 23 2009 Hoeffding inequalities for Lipschitz functions of dependent sequences. Zbl 0961.60032Rio, Emmanuel 22 2000 Moment inequalities for sums of dependent random variables under projective conditions. Zbl 1160.60312Rio, Emmanuel 19 2009 Concentration inequalities for sums and martingales. Zbl 1337.60002Bercu, Bernard; Delyon, Bernard; Rio, Emmanuel 15 2015 Une inégalité de Bennett pour les maxima de processus empiriques. (A Bennet type inequality for maxima of empirical processes). Zbl 1014.60011Rio, Emmanuel 15 2002 Concentration inequalities for set-indexed empirical processes. Zbl 0976.60033Rio, Emmanuel 15 2001 Strong approximation for set-indexed partial sum processes via KMT constructions. I. Zbl 0776.60045Rio, Emmanuel 14 1993 Strong approximation of partial sums under dependence conditions with application to dynamical systems. Zbl 1230.60034Merlevède, Florence; Rio, Emmanuel 12 2012 On mean central limit theorems for stationary sequences. Zbl 1187.60015Dedecker, Jérôme; Rio, Emmanuel 12 2008 Asymptotic constants for minimal distance in the central limit theorem. Zbl 1225.60047Rio, Emmanuel 10 2011 Absolutely regular empirical processes and universal entropy. Zbl 0911.60010Rio, Emmanuel 10 1998 Rates of convergence for minimal distances in the central limit theorem under projective criteria. Zbl 1191.60025Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 9 2009 Functional convergence to stable Lévy motions for iterated random Lipschitz mappings. Zbl 1245.60041Louhichi, Sana; Rio, Emmanuel 8 2011 Concentration inequalities for mean field particle models. Zbl 1234.60019Del Moral, Pierre; Rio, Emmanuel 7 2011 Moment inequalities for stationary and strongly mixing sequences. Zbl 0797.60011Rio, Emmanuel 7 1994 Strong approximation for set-indexed partial-sum processes, via KMT constructions. II. Zbl 0779.60030Rio, Emmanuel 7 1993 Extensions of the Hoeffding-Azuma inequalities. Zbl 1300.60036Rio, Emmanuel 5 2013 Minimal distances and ideal distances. Zbl 0916.60015Rio, Emmanuel 5 1998 Asymptotic theory of weakly dependent random processes. Translated from the French. Updated and extended translation. Zbl 1378.60003Rio, Emmanuel 4 2017 Strong approximation for additive functionals of geometrically ergodic Markov chains. Zbl 1327.60085Merlevède, Florence; Rio, Emmanuel 4 2015 Strong approximation of the empirical distribution function for absolutely regular sequences in \({\mathbb R}^d\). Zbl 1293.60043Dedecker, Jérôme; Rio, Emmanuel; Merlevède, Florence 4 2014 On McDiarmid’s concentration inequality. Zbl 1348.60042Rio, Emmanuel 4 2013 Strong approximation results for the empirical process of stationary sequences. Zbl 1284.60069Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 4 2013 Concentration inequalities, large and moderate deviations for self-normalized empirical processes. Zbl 1021.60013Bercu, Bernard; Gassiat, Elisabeth; Rio, Emmanuel 4 2002 Limit theorems for multiplicative processes. Zbl 1039.60035Liu, Quansheng; Rio, Emmanuel; Rouault, Alain 3 2003 A uniform Marcinkiewicz-Zygmund strong law of large numbers for empirical processes. Zbl 0933.60015Massart, P.; Rio, E. 3 1998 About the rate function in Talagrand’s inequality for empirical processes. Zbl 1238.60024Rio, Emmanuel 2 2012 Exponential inequalities for empirical processes. Zbl 0955.62051Rio, Emmanuel 2 2000 Strong approximation for set-indexed partial sum processes via KMT constructions. III. Zbl 0930.60016Rio, Emmanuel 2 1997 Rates of convergence in the strong law for dependent sequences. Zbl 0832.60042Rio, Emmanuel 2 1995 About the constants in the Fuk-Nagaev inequalities. Zbl 1364.60029Rio, Emmanuel 1 2017 New deviation inequalities for martingales with bounded increments. Zbl 1373.60049Rio, Emmanuel 1 2017 Exponential inequalities for weighted sums of bounded random variables. Zbl 1328.60054Rio, Emmanuel 1 2015 Convergence of partial sum processes to Lévy processes for associated sequences. Zbl 1213.60089Louhichi, Sana; Rio, Emmanuel 1 2011 Rates of convergence in the invariance principle for the multivariate distribution function. Zbl 0837.60020Rio, Emmanuel 1 1996 Asymptotic theory of weakly dependent random processes. Translated from the French. Updated and extended translation. Zbl 1378.60003Rio, Emmanuel 4 2017 About the constants in the Fuk-Nagaev inequalities. Zbl 1364.60029Rio, Emmanuel 1 2017 New deviation inequalities for martingales with bounded increments. Zbl 1373.60049Rio, Emmanuel 1 2017 Concentration inequalities for sums and martingales. Zbl 1337.60002Bercu, Bernard; Delyon, Bernard; Rio, Emmanuel 15 2015 Strong approximation for additive functionals of geometrically ergodic Markov chains. Zbl 1327.60085Merlevède, Florence; Rio, Emmanuel 4 2015 Exponential inequalities for weighted sums of bounded random variables. Zbl 1328.60054Rio, Emmanuel 1 2015 Strong approximation of the empirical distribution function for absolutely regular sequences in \({\mathbb R}^d\). Zbl 1293.60043Dedecker, Jérôme; Rio, Emmanuel; Merlevède, Florence 4 2014 Extensions of the Hoeffding-Azuma inequalities. Zbl 1300.60036Rio, Emmanuel 5 2013 On McDiarmid’s concentration inequality. Zbl 1348.60042Rio, Emmanuel 4 2013 Strong approximation results for the empirical process of stationary sequences. Zbl 1284.60069Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 4 2013 Strong approximation of partial sums under dependence conditions with application to dynamical systems. Zbl 1230.60034Merlevède, Florence; Rio, Emmanuel 12 2012 About the rate function in Talagrand’s inequality for empirical processes. Zbl 1238.60024Rio, Emmanuel 2 2012 A Bernstein type inequality and moderate deviations for weakly dependent sequences. Zbl 1242.60020Merlevède, Florence; Peligrad, Magda; Rio, Emmanuel 38 2011 Asymptotic constants for minimal distance in the central limit theorem. Zbl 1225.60047Rio, Emmanuel 10 2011 Functional convergence to stable Lévy motions for iterated random Lipschitz mappings. Zbl 1245.60041Louhichi, Sana; Rio, Emmanuel 8 2011 Concentration inequalities for mean field particle models. Zbl 1234.60019Del Moral, Pierre; Rio, Emmanuel 7 2011 Convergence of partial sum processes to Lévy processes for associated sequences. Zbl 1213.60089Louhichi, Sana; Rio, Emmanuel 1 2011 Bernstein inequality and moderate deviations under strong mixing conditions. Zbl 1243.60019Merlevède, Florence; Peligrad, Magda; Rio, Emmanuel 29 2009 Upper bounds for minimal distances in the central limit theorem. Zbl 1175.60020Rio, Emmanuel 23 2009 Moment inequalities for sums of dependent random variables under projective conditions. Zbl 1160.60312Rio, Emmanuel 19 2009 Rates of convergence for minimal distances in the central limit theorem under projective criteria. Zbl 1191.60025Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 9 2009 On mean central limit theorems for stationary sequences. Zbl 1187.60015Dedecker, Jérôme; Rio, Emmanuel 12 2008 Concentration around the mean for maxima of empirical processes. Zbl 1066.60023Klein, T.; Rio, E. 56 2005 Limit theorems for multiplicative processes. Zbl 1039.60035Liu, Quansheng; Rio, Emmanuel; Rouault, Alain 3 2003 Une inégalité de Bennett pour les maxima de processus empiriques. (A Bennet type inequality for maxima of empirical processes). Zbl 1014.60011Rio, Emmanuel 15 2002 Concentration inequalities, large and moderate deviations for self-normalized empirical processes. Zbl 1021.60013Bercu, Bernard; Gassiat, Elisabeth; Rio, Emmanuel 4 2002 Concentration inequalities for set-indexed empirical processes. Zbl 0976.60033Rio, Emmanuel 15 2001 Asymptotic theory of weakly dependent stochastic processes. Zbl 0944.60008Rio, Emmanuel 103 2000 On the functional central limit theorem for stationary processes. Zbl 0949.60049Dedecker, Jérôme; Rio, Emmanuel 46 2000 Hoeffding inequalities for Lipschitz functions of dependent sequences. Zbl 0961.60032Rio, Emmanuel 22 2000 Exponential inequalities for empirical processes. Zbl 0955.62051Rio, Emmanuel 2 2000 Absolutely regular empirical processes and universal entropy. Zbl 0911.60010Rio, Emmanuel 10 1998 Minimal distances and ideal distances. Zbl 0916.60015Rio, Emmanuel 5 1998 A uniform Marcinkiewicz-Zygmund strong law of large numbers for empirical processes. Zbl 0933.60015Massart, P.; Rio, E. 3 1998 Strong approximation for set-indexed partial sum processes via KMT constructions. III. Zbl 0930.60016Rio, Emmanuel 2 1997 About the Berry-Esseen theorem for weakly dependent sequences. Zbl 0838.60017Rio, Emmanuel 36 1996 Rates of convergence in the invariance principle for the multivariate distribution function. Zbl 0837.60020Rio, Emmanuel 1 1996 Invariance principles for absolutely regular empirical processes. Zbl 0817.60028Doukhan, Paul; Massart, Pascal; Rio, Emmanuel 70 1995 The functional law of the iterated logarithm for stationary strongly mixing sequences. Zbl 0833.60024Rio, Emmanuel 56 1995 About the Lindeberg method for strongly mixing sequences. Zbl 0869.60021Rio, Emmanuel 26 1995 A maximal inequality and dependent Marcinkiewicz-Zygmund strong laws. Zbl 0836.60026Rio, Emmanuel 26 1995 Rates of convergence in the strong law for dependent sequences. Zbl 0832.60042Rio, Emmanuel 2 1995 The functional central limit theorem for strongly mixing processes. Zbl 0790.60037Doukhan, Paul; Massart, Pascal; Rio, Emmanuel 59 1994 Local invariance principles and their application to density estimation. Zbl 0794.60019Rio, Emmanuel 25 1994 Moment inequalities for stationary and strongly mixing sequences. Zbl 0797.60011Rio, Emmanuel 7 1994 Covariance inequalities for strongly mixing processes. Zbl 0798.60027Rio, Emmanuel 39 1993 Strong approximation for set-indexed partial sum processes via KMT constructions. I. Zbl 0776.60045Rio, Emmanuel 14 1993 Strong approximation for set-indexed partial-sum processes, via KMT constructions. II. Zbl 0779.60030Rio, Emmanuel 7 1993 all cited Publications top 5 cited Publications all top 5 Cited by 734 Authors 36 Dedecker, Jérôme 29 Merlevède, Florence 21 Doukhan, Paul 21 Peligrad, Magda 20 Comte, Fabienne 17 Rio, Emmanuel 11 Cuny, Christophe 11 Fan, Xiequan 11 Wu, Wei Biao 10 Genon-Catalot, Valentine 10 Sunklodas, Jonas Kazys 9 Neumann, Michael H. 9 Prieur, Clémentine 9 Volný, Dalibor 7 Grama, Ion G. 7 Liu, Quansheng 6 Belomestny, Denis 6 El Machkouri, Mohamed 6 Kato, Kengo 6 Lacour, Claire 6 Sancetta, Alessio 6 Wintenberger, Olivier 6 Zähle, Henryk 5 Ango Nze, Patrick 5 Bobkov, Sergey Germanovich 5 Bücher, Axel 5 Louhichi, Sana 5 Shao, Qi-Man 5 Utev, Sergey 4 Adamczak, Radosław 4 Alquier, Pierre 4 Arcones, Miguel A. 4 Berkes, István 4 Bousquet, Olivier 4 Bradley, Richard C. jun. 4 Chagny, Gaëlle 4 Chernozhukov, Victor 4 Chetverikov, Denis 4 Dehling, Herold G. 4 Durieu, Olivier 4 Fan, Jianqing 4 Guillin, Arnaud 4 Hill, Jonathan B. 4 Hu, Shuhe 4 Jirak, Moritz 4 Lang, Gabriel 4 León, José Rafael R. 4 Linton, Oliver Bruce 4 Lugosi, Gábor 4 Marchina, Antoine 4 Massart, Pascal 4 Melbourne, Ian 4 Mikosch, Thomas 4 Munk, Axel 4 Nickl, Richard 4 Pène, Françoise 4 Proksch, Katharina 4 Radulović, Dragan 4 Reynaud-Bouret, Patricia 4 Yang, Wenzhi 3 Alnafisah, Yousef 3 Baraud, Yannick 3 Bardet, Jean-Marc 3 Barigozzi, Matteo 3 Bartlett, Peter L. 3 Boucheron, Stéphane Vincent 3 Cai, Zongwu 3 Chen, Xiaohong 3 Chen, Xiaohui 3 Chesneau, Christophe 3 Davis, Richard A. 3 Del Moral, Pierre 3 Gassiat, Elisabeth 3 Giné-Masdéu, Evarist 3 Giraudo, Davide 3 Gouëzel, Sébastien 3 Hörmann, Siegfried 3 Jakubowski, Adam 3 Jiang, Binyan 3 Korepanov, Alexey 3 Kristensen, Dennis 3 Liebscher, Eckhard 3 Lin, Zhengyan 3 Mason, David M. 3 Mendelson, Shahar 3 Nicol, Matthew 3 Oliveira, Paulo Eduardo 3 Otsu, Taisuke 3 Ould-Saïd, Elias 3 Proïa, Frédéric 3 Segers, Johan 3 Seo, Myunghwan 3 Surgailis, Donatas 3 Taupin, Marie-Luce 3 Trapani, Lorenzo 3 Van de Geer, Sara Anna 3 Wang, Xuejun 3 Whang, Yoon-Jae 3 Wu, Liming 3 Xue, Liugen ...and 634 more Authors all top 5 Cited in 119 Serials 62 Stochastic Processes and their Applications 40 Journal of Econometrics 39 Statistics & Probability Letters 38 Bernoulli 33 The Annals of Probability 32 The Annals of Statistics 30 Journal of Statistical Planning and Inference 23 Journal of Multivariate Analysis 21 Journal of Theoretical Probability 18 Probability Theory and Related Fields 18 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 18 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 18 Electronic Journal of Statistics 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Econometric Theory 11 Lithuanian Mathematical Journal 10 Statistics 9 Journal of Mathematical Analysis and Applications 9 The Annals of Applied Probability 9 Journal of Nonparametric Statistics 9 Stochastics and Dynamics 7 Mathematical Methods of Statistics 7 Statistical Inference for Stochastic Processes 6 Journal of Applied Probability 5 Metrika 5 Annals of the Institute of Statistical Mathematics 5 Transactions of the American Mathematical Society 5 Science China. Mathematics 4 Communications in Statistics. Theory and Methods 4 Journal of the Korean Statistical Society 3 Communications in Mathematical Physics 3 Journal of Statistical Physics 3 Acta Applicandae Mathematicae 3 Statistical Papers 3 Electronic Communications in Probability 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Sankhyā. Series A 3 Dependence Modeling 2 Rocky Mountain Journal of Mathematics 2 Scandinavian Journal of Statistics 2 International Journal of Mathematics and Mathematical Sciences 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Insurance Mathematics & Economics 2 Journal of Time Series Analysis 2 Stochastic Analysis and Applications 2 Acta Mathematicae Applicatae Sinica. English Series 2 Neural Computation 2 Computational Statistics 2 Computational Statistics and Data Analysis 2 Test 2 Applied Mathematics. Series B (English Edition) 2 Electronic Journal of Probability 2 Brazilian Journal of Probability and Statistics 2 Journal of Machine Learning Research (JMLR) 2 Statistical Methods and Applications 2 Applications and Applied Mathematics 2 Journal of Statistical Theory and Practice 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Automatica 1 Inventiones Mathematicae 1 Journal of the American Statistical Association 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Theoretical Computer Science 1 Ergodic Theory and Dynamical Systems 1 Probability and Mathematical Statistics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Complexity 1 Journal of the American Mathematical Society 1 Journal of Scientific Computing 1 Machine Learning 1 Economics Letters 1 Journal of Statistical Computation and Simulation 1 Pattern Recognition 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Theory of Probability and Mathematical Statistics 1 Journal of Convex Analysis 1 Monte Carlo Methods and Applications 1 Annals of Mathematics and Artificial Intelligence 1 Lifetime Data Analysis 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics ...and 19 more Serials all top 5 Cited in 30 Fields 427 Probability theory and stochastic processes (60-XX) 374 Statistics (62-XX) 37 Dynamical systems and ergodic theory (37-XX) 34 Numerical analysis (65-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Computer science (68-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Measure and integration (28-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Partial differential equations (35-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Operations research, mathematical programming (90-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Citations by Year