Edit Profile (opens in new tab) Merlevède, Florence Co-Author Distance Author ID: merlevede.florence Published as: Merlevède, Florence; Merlevède, F.; Merlevéde, Florence; Merlevéde, F. more...less Documents Indexed: 90 Publications since 1995, including 1 Book and 6 Additional arXiv Preprints Co-Authors: 25 Co-Authors with 85 Joint Publications 478 Co-Co-Authors all top 5 Co-Authors 5 single-authored 48 Dedecker, Jérôme 30 Peligrad, Magda 15 Cuny, Christophe 11 Rio, Emmanuel 5 Peligrad, Costel 5 Utev, Sergey 3 Banna, Marwa 3 Gouëzel, Sébastien 3 Pène, Françoise 2 Lin, Han-Mai 2 Volný, Dalibor 1 Bitseki Penda, S. Valère 1 Blanke, Delphine 1 Bosq, Denis 1 Comte, Fabienne 1 Djellout, Hacène 1 Doukhan, Paul 1 Dumaz, Laure 1 Fan, Xiequan 1 Guillou, Armelle 1 Hu, Haijuan 1 Najim, Jamal 1 Proïa, Frédéric 1 Tian, Peng 1 Youssef, Pierre all top 5 Serials 12 Stochastic Processes and their Applications 7 Journal of Theoretical Probability 6 The Annals of Probability 6 ALEA. Latin American Journal of Probability and Mathematical Statistics 5 Electronic Journal of Probability 5 Stochastics and Dynamics 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Bernoulli 2 Journal of Multivariate Analysis 2 Statistics & Probability Letters 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Random Matrices: Theory and Applications 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Statistics 1 Probability Theory and Related Fields 1 Linear Algebra and its Applications 1 Mathematical Methods of Statistics 1 Electronic Communications in Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Oxford Studies in Probability 1 Electronic Journal of Statistics 1 Probability Surveys 1 Annales Henri Lebesgue all top 5 Fields 80 Probability theory and stochastic processes (60-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Statistics (62-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 763 times in 498 Documents Cited by ▼ Year ▼ Recent advances in invariance principles for stationary sequences. Zbl 1189.60078 Merlevède, Florence; Peligrad, Magda; Utev, Sergey 66 2006 A Bernstein type inequality and moderate deviations for weakly dependent sequences. Zbl 1242.60020 Merlevède, Florence; Peligrad, Magda; Rio, Emmanuel 59 2011 Bernstein inequality and moderate deviations under strong mixing conditions. Zbl 1243.60019 Merlevède, Florence; Peligrad, Magda; Rio, Emmanuel 47 2009 Necessary and sufficient conditions for the conditional central limit theorem. Zbl 1015.60016 Dedecker, Jérôme; Merlevède, Florence 37 2002 Strong invariance principles with rate for “reverse” martingale differences and applications. Zbl 1353.60031 Cuny, Christophe; Merlevède, Florence 26 2015 On the weak invariance principle for non-adapted sequences under projective criteria. Zbl 1137.60016 Dedecker, Jérôme; Merlevède, Florence; Volný, Dalibor 26 2007 Some almost sure results for unbounded functions of intermittent maps and their associated Markov chains. Zbl 1206.60032 Dedecker, J.; Gouëzel, S.; Merlevède, F. 24 2010 On the limiting spectral distribution for a large class of symmetric random matrices with correlated entries. Zbl 1328.60083 Banna, Marwa; Merlevède, Florence; Peligrad, Magda 23 2015 The conditional central limit theorem in Hilbert spaces. Zbl 1075.60501 Dedecker, Jérôme; Merlevède, Florence 21 2003 Functional Gaussian approximation for dependent structures. Zbl 1447.60003 Merlevède, Florence; Peligrad, Magda; Utev, Sergey 21 2019 Sharp conditions for the CLT of linear processes in a Hilbert space. Zbl 0885.60015 Merlevède, Florence; Peligrad, Magda; Utev, Sergey 19 1997 Asymptotic normality for density kernel estimators in discrete and continuous time. Zbl 0926.60024 Bosq, Denis; Merlevède, Florence; Peligrad, Magda 18 1999 On martingale approximations and the quenched weak invariance principle. Zbl 1354.60031 Cuny, Christophe; Merlevède, Florence 18 2014 The functional central limit theorem under the strong mixing condition. Zbl 1023.60040 Merlevède, Florence; Peligrad, Magda 17 2000 Rosenthal-type inequalities for the maximum of partial sums of stationary processes and examples. Zbl 1274.60056 Merlevède, Florence; Peligrad, Magda 17 2013 On the empirical spectral distribution for matrices with long memory and independent rows. Zbl 1346.60021 Merlevède, F.; Peligrad, M. 16 2016 Convergence rates in the law of large numbers for Banach-valued dependent variables. Zbl 1158.60009 Dedecker, J.; Merlevède, F. 16 2008 On the weak invariance principle for stationary sequences under projective criteria. Zbl 1117.60022 Merlevède, Florence; Peligrad, Magda 16 2006 Strong approximation of partial sums under dependence conditions with application to dynamical systems. Zbl 1230.60034 Merlevède, Florence; Rio, Emmanuel 15 2012 Rates of convergence for minimal distances in the central limit theorem under projective criteria. Zbl 1191.60025 Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 15 2009 Invariance principles for linear processes with application to isotonic regression. Zbl 1284.60068 Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda 14 2011 Rates in almost sure invariance principle for slowly mixing dynamical systems. Zbl 1448.37008 Cuny, Christophe; Dedecker, Jerome; Korepanov, A.; Merlevède, Florence 12 2020 Limiting spectral distribution of large sample covariance matrices associated with a class of stationary processes. Zbl 1325.60043 Banna, Marwa; Merlevède, Florence 10 2015 Moment bounds for dependent sequences in smooth Banach spaces. Zbl 1318.60028 Dedecker, J.; Merlevède, F. 10 2015 On the Komlós, Major and Tusnády strong approximation for some classes of random iterates. Zbl 1384.60071 Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence 9 2018 Super optimal rates for nonparametric density estimation via projection estimators. Zbl 1065.62057 Comte, F.; Merlevéde, F. 9 2005 Strong approximation for additive functionals of geometrically ergodic Markov chains. Zbl 1327.60085 Merlevède, Florence; Rio, Emmanuel 8 2015 Rates in almost sure invariance principle for quickly mixing dynamical systems. Zbl 1434.60104 Cuny, C.; Dedecker, J.; Korepanov, A.; Merlevède, F. 8 2020 The empirical distribution function for dependent variables: asymptotic and nonasymptotic results in \({\mathbb L}^p\). Zbl 1184.60008 Dedecker, Jérôme; Merlevède, Florence 8 2007 On the coupling of dependent random variables and applications. Zbl 1038.60021 Merlevède, Florence; Peligrad, Magda 8 2002 Almost sure invariance principles via martingale approximation. Zbl 1230.60029 Merlevède, Florence; Peligrad, Costel; Peligrad, Magda 7 2012 Strong approximation of the empirical distribution function for absolutely regular sequences in \({\mathbb R}^d\). Zbl 1293.60043 Dedecker, Jérôme; Rio, Emmanuel; Merlevède, Florence 7 2014 Rates of convergence in the strong invariance principle under projective criteria. Zbl 1245.60040 Dedecker, Jérôme; Doukhan, Paul; Merlevède, Florence 7 2012 Moderate deviations for stationary sequences of bounded random variables. Zbl 1172.60005 Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda; Utev, Sergey 7 2009 Large and moderate deviations for the left random walk on \(GL_d(\mathbb{R})\). Zbl 1364.60035 Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence 7 2017 Behavior of the Wasserstein distance between the empirical and the marginal distributions of stationary \(\alpha\)-dependent sequences. Zbl 1392.60007 Dedecker, Jérôme; Merlevède, Florence 6 2017 A quenched weak invariance principle. Zbl 1304.60031 Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda 6 2014 Bernstein-type inequality for a class of dependent random matrices. Zbl 1381.60017 Banna, Marwa; Merlevède, Florence; Youssef, Pierre 6 2016 Rates of convergence in invariance principles for random walks on linear groups via martingale methods. Zbl 1469.60098 Cuny, C.; Dedecker, J.; Merlevède, F. 6 2021 Strong approximation results for the empirical process of stationary sequences. Zbl 1284.60069 Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 5 2013 Large and moderate deviations for bounded functions of slowly mixing Markov chains. Zbl 1386.60072 Dedecker, Jérôme; Gouëzel, Sébastien; Merlevède, Florence 5 2018 On the central limit theorem and its weak invariance principle for strongly mixing sequences with values in a Hilbert space via martingale approximation. Zbl 1038.60029 Merlevède, Florence 5 2003 Unbounded largest eigenvalue of large sample covariance matrices: asymptotics, fluctuations and applications. Zbl 1418.15030 Merlevède, Florence; Najim, Jamal; Tian, Peng 4 2019 Functional CLT for martingale-like nonstationary dependent structures. Zbl 1431.60035 Merlevède, Florence; Peligrad, Magda; Utev, Sergey 4 2019 On the invertibility of Hilbert space valued linear processes. (Sur l’inversibilité des processus linéaires à valeurs dans un espace de Hilbert.) Zbl 0838.60037 Merlevède, Florence 4 1995 Rates of convergence in the central limit theorem for linear statistics of martingale differences. Zbl 1226.60031 Dedecker, Jérôme; Merlevède, Florence 4 2011 Functional CLT for nonstationary strongly mixing processes. Zbl 1471.60044 Merlevède, Florence; Peligrad, Magda 4 2020 Berry-Esseen type bounds for the matrix coefficients and the spectral radius of the left random walk on \(\mathrm{GL}_d(\mathbb{R})\). (Inégalités de type Berry-Esseen pour les coefficients matriciels et pour le rayon spectral de la marche aléatoire gauche sur \(\mathrm{GL}_d(\mathbb{R})\).) Zbl 1497.60024 Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda 4 2022 On the local limit theorems for psi-mixing Markov chains. Zbl 1478.60090 Merlevède, Florence; Peligrad, Magda; Peligrad, Costel 4 2021 Estimation of the asymptotic variance of kernel density estimators for continuous time processes. Zbl 1023.62042 Guillou, Armelle; Merlevède, Florence 3 2001 On the universality of spectral limit for random matrices with martingale differences entries. Zbl 1316.60032 Merlevède, F.; Peligrad, C.; Peligrad, M. 3 2015 Central limit theorem for linear processes with values in Hilbert space. Zbl 0889.60012 Merlevède, F. 3 1996 A deviation bound for \(\alpha\)-dependent sequences with applications to intermittent maps. Zbl 1395.60022 Dedecker, Jérôme; Merlevède, Florence 3 2017 Rates of convergence in the central limit theorem for martingales in the non stationary setting. Zbl 1492.60054 Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 3 2022 On the almost sure invariance principle for stationary sequences of Hilbert-valued random variables. Zbl 1229.60037 Dedecker, Jérôme; Merlevède, Florence 3 2010 The almost sure invariance principle for unbounded functions of expanding maps. Zbl 1359.37091 Dedecker, J.; Gouëzel, S.; Merlevède, F. 3 2012 Empirical central limit theorems for ergodic automorphisms of the torus. Zbl 1277.37063 Dedecker, Jérôme; Merlevède, Florence; Pène, Françoise 3 2013 Estimation of the asymptotic variance of kernel density estimators for continuous time processes. Zbl 1006.62029 Blanke, D.; Merlevède, F. 2 2000 Behavior of the empirical Wasserstein distance in \({\mathbb R}^d\) under moment conditions. Zbl 1406.60009 Dedecker, Jérôme; Merlevède, Florence 2 2019 Rates in the strong invariance principle for ergodic automorphisms of the torus. Zbl 1347.37058 Dedecker, Jérôme; Merlevède, Florence; Pène, Françoise 2 2014 Law of the iterated logarithm for the periodogram. Zbl 1316.60037 Cuny, Christophe; Merlevède, Florence; Peligrad, Magda 2 2013 Results of almost sure convergence for the estimation and the prediction of Hilbertian linear processes. (Résultats de convergence presque sûre pour l’estimation et la prévision des processus linéaires hilbertiens.) Zbl 0876.62079 Merlevède, Florence 2 1997 Functional moderate deviations for triangular arrays and applications. Zbl 1162.60313 Merlevède, Florence; Peligrad, Magda 2 2009 Almost sure invariance principle for the Kantorovich distance between the empirical and the marginal distributions of strong mixing sequences. Zbl 1457.60051 Dedecker, Jérôme; Merlevède, Florence 2 2021 Berry-Esseen type bounds for the left random walk on \({\mathrm{GL}_d}(\mathbb{R})\) under polynomial moment conditions. Zbl 1519.60031 Cuny, C.; Dedecker, J.; Merlevède, F.; Peligrad, M. 2 2023 Moderate deviations for linear processes generated by martingale-like random variables. Zbl 1193.60035 Merlevède, Florence; Peligrad, Magda 2 2010 An alternative to the coupling of Berkes-Liu-Wu for strong approximations. Zbl 1392.60031 Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence 1 2018 Laws of large numbers and compact law of the iterated logarithm for linear processes with values in a Banach space of type 2. (Lois des grands nombres et loi du logarithme itéré compacte pour des processus linéaires à valeurs dans un espace de Banach de type 2.) Zbl 0860.60007 Merlevède, Florence 1 1996 Reflexive operator algebras on Banach spaces. Zbl 1307.47006 Merlevède, Florence; Peligrad, Costel; Peligrad, Magda 1 2014 Weak invariance principle and exponential bounds for some special functions of intermittent maps. Zbl 1243.37008 Dedecker, Jérôme; Merlevède, Florence 1 2009 Rates of convergence in the central limit theorem for the elephant random walk with random step sizes. Zbl 1523.60051 Dedecker, Jérôme; Fan, Xiequan; Hu, Haijuan; Merlevède, Florence 1 2023 On the local limit theorems for lower psi-mixing Markov chains. Zbl 1497.60026 Merlevède, Florence; Peligrad, Magda; Peligrad, Costel 1 2022 Berry-Esseen type bounds for the left random walk on \({\mathrm{GL}_d}(\mathbb{R})\) under polynomial moment conditions. Zbl 1519.60031 Cuny, C.; Dedecker, J.; Merlevède, F.; Peligrad, M. 2 2023 Rates of convergence in the central limit theorem for the elephant random walk with random step sizes. Zbl 1523.60051 Dedecker, Jérôme; Fan, Xiequan; Hu, Haijuan; Merlevède, Florence 1 2023 Berry-Esseen type bounds for the matrix coefficients and the spectral radius of the left random walk on \(\mathrm{GL}_d(\mathbb{R})\). (Inégalités de type Berry-Esseen pour les coefficients matriciels et pour le rayon spectral de la marche aléatoire gauche sur \(\mathrm{GL}_d(\mathbb{R})\).) Zbl 1497.60024 Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda 4 2022 Rates of convergence in the central limit theorem for martingales in the non stationary setting. Zbl 1492.60054 Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 3 2022 On the local limit theorems for lower psi-mixing Markov chains. Zbl 1497.60026 Merlevède, Florence; Peligrad, Magda; Peligrad, Costel 1 2022 Rates of convergence in invariance principles for random walks on linear groups via martingale methods. Zbl 1469.60098 Cuny, C.; Dedecker, J.; Merlevède, F. 6 2021 On the local limit theorems for psi-mixing Markov chains. Zbl 1478.60090 Merlevède, Florence; Peligrad, Magda; Peligrad, Costel 4 2021 Almost sure invariance principle for the Kantorovich distance between the empirical and the marginal distributions of strong mixing sequences. Zbl 1457.60051 Dedecker, Jérôme; Merlevède, Florence 2 2021 Rates in almost sure invariance principle for slowly mixing dynamical systems. Zbl 1448.37008 Cuny, Christophe; Dedecker, Jerome; Korepanov, A.; Merlevède, Florence 12 2020 Rates in almost sure invariance principle for quickly mixing dynamical systems. Zbl 1434.60104 Cuny, C.; Dedecker, J.; Korepanov, A.; Merlevède, F. 8 2020 Functional CLT for nonstationary strongly mixing processes. Zbl 1471.60044 Merlevède, Florence; Peligrad, Magda 4 2020 Functional Gaussian approximation for dependent structures. Zbl 1447.60003 Merlevède, Florence; Peligrad, Magda; Utev, Sergey 21 2019 Unbounded largest eigenvalue of large sample covariance matrices: asymptotics, fluctuations and applications. Zbl 1418.15030 Merlevède, Florence; Najim, Jamal; Tian, Peng 4 2019 Functional CLT for martingale-like nonstationary dependent structures. Zbl 1431.60035 Merlevède, Florence; Peligrad, Magda; Utev, Sergey 4 2019 Behavior of the empirical Wasserstein distance in \({\mathbb R}^d\) under moment conditions. Zbl 1406.60009 Dedecker, Jérôme; Merlevède, Florence 2 2019 On the Komlós, Major and Tusnády strong approximation for some classes of random iterates. Zbl 1384.60071 Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence 9 2018 Large and moderate deviations for bounded functions of slowly mixing Markov chains. Zbl 1386.60072 Dedecker, Jérôme; Gouëzel, Sébastien; Merlevède, Florence 5 2018 An alternative to the coupling of Berkes-Liu-Wu for strong approximations. Zbl 1392.60031 Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence 1 2018 Large and moderate deviations for the left random walk on \(GL_d(\mathbb{R})\). Zbl 1364.60035 Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence 7 2017 Behavior of the Wasserstein distance between the empirical and the marginal distributions of stationary \(\alpha\)-dependent sequences. Zbl 1392.60007 Dedecker, Jérôme; Merlevède, Florence 6 2017 A deviation bound for \(\alpha\)-dependent sequences with applications to intermittent maps. Zbl 1395.60022 Dedecker, Jérôme; Merlevède, Florence 3 2017 On the empirical spectral distribution for matrices with long memory and independent rows. Zbl 1346.60021 Merlevède, F.; Peligrad, M. 16 2016 Bernstein-type inequality for a class of dependent random matrices. Zbl 1381.60017 Banna, Marwa; Merlevède, Florence; Youssef, Pierre 6 2016 Strong invariance principles with rate for “reverse” martingale differences and applications. Zbl 1353.60031 Cuny, Christophe; Merlevède, Florence 26 2015 On the limiting spectral distribution for a large class of symmetric random matrices with correlated entries. Zbl 1328.60083 Banna, Marwa; Merlevède, Florence; Peligrad, Magda 23 2015 Limiting spectral distribution of large sample covariance matrices associated with a class of stationary processes. Zbl 1325.60043 Banna, Marwa; Merlevède, Florence 10 2015 Moment bounds for dependent sequences in smooth Banach spaces. Zbl 1318.60028 Dedecker, J.; Merlevède, F. 10 2015 Strong approximation for additive functionals of geometrically ergodic Markov chains. Zbl 1327.60085 Merlevède, Florence; Rio, Emmanuel 8 2015 On the universality of spectral limit for random matrices with martingale differences entries. Zbl 1316.60032 Merlevède, F.; Peligrad, C.; Peligrad, M. 3 2015 On martingale approximations and the quenched weak invariance principle. Zbl 1354.60031 Cuny, Christophe; Merlevède, Florence 18 2014 Strong approximation of the empirical distribution function for absolutely regular sequences in \({\mathbb R}^d\). Zbl 1293.60043 Dedecker, Jérôme; Rio, Emmanuel; Merlevède, Florence 7 2014 A quenched weak invariance principle. Zbl 1304.60031 Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda 6 2014 Rates in the strong invariance principle for ergodic automorphisms of the torus. Zbl 1347.37058 Dedecker, Jérôme; Merlevède, Florence; Pène, Françoise 2 2014 Reflexive operator algebras on Banach spaces. Zbl 1307.47006 Merlevède, Florence; Peligrad, Costel; Peligrad, Magda 1 2014 Rosenthal-type inequalities for the maximum of partial sums of stationary processes and examples. Zbl 1274.60056 Merlevède, Florence; Peligrad, Magda 17 2013 Strong approximation results for the empirical process of stationary sequences. Zbl 1284.60069 Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 5 2013 Empirical central limit theorems for ergodic automorphisms of the torus. Zbl 1277.37063 Dedecker, Jérôme; Merlevède, Florence; Pène, Françoise 3 2013 Law of the iterated logarithm for the periodogram. Zbl 1316.60037 Cuny, Christophe; Merlevède, Florence; Peligrad, Magda 2 2013 Strong approximation of partial sums under dependence conditions with application to dynamical systems. Zbl 1230.60034 Merlevède, Florence; Rio, Emmanuel 15 2012 Almost sure invariance principles via martingale approximation. Zbl 1230.60029 Merlevède, Florence; Peligrad, Costel; Peligrad, Magda 7 2012 Rates of convergence in the strong invariance principle under projective criteria. Zbl 1245.60040 Dedecker, Jérôme; Doukhan, Paul; Merlevède, Florence 7 2012 The almost sure invariance principle for unbounded functions of expanding maps. Zbl 1359.37091 Dedecker, J.; Gouëzel, S.; Merlevède, F. 3 2012 A Bernstein type inequality and moderate deviations for weakly dependent sequences. Zbl 1242.60020 Merlevède, Florence; Peligrad, Magda; Rio, Emmanuel 59 2011 Invariance principles for linear processes with application to isotonic regression. Zbl 1284.60068 Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda 14 2011 Rates of convergence in the central limit theorem for linear statistics of martingale differences. Zbl 1226.60031 Dedecker, Jérôme; Merlevède, Florence 4 2011 Some almost sure results for unbounded functions of intermittent maps and their associated Markov chains. Zbl 1206.60032 Dedecker, J.; Gouëzel, S.; Merlevède, F. 24 2010 On the almost sure invariance principle for stationary sequences of Hilbert-valued random variables. Zbl 1229.60037 Dedecker, Jérôme; Merlevède, Florence 3 2010 Moderate deviations for linear processes generated by martingale-like random variables. Zbl 1193.60035 Merlevède, Florence; Peligrad, Magda 2 2010 Bernstein inequality and moderate deviations under strong mixing conditions. Zbl 1243.60019 Merlevède, Florence; Peligrad, Magda; Rio, Emmanuel 47 2009 Rates of convergence for minimal distances in the central limit theorem under projective criteria. Zbl 1191.60025 Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel 15 2009 Moderate deviations for stationary sequences of bounded random variables. Zbl 1172.60005 Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda; Utev, Sergey 7 2009 Functional moderate deviations for triangular arrays and applications. Zbl 1162.60313 Merlevède, Florence; Peligrad, Magda 2 2009 Weak invariance principle and exponential bounds for some special functions of intermittent maps. Zbl 1243.37008 Dedecker, Jérôme; Merlevède, Florence 1 2009 Convergence rates in the law of large numbers for Banach-valued dependent variables. Zbl 1158.60009 Dedecker, J.; Merlevède, F. 16 2008 On the weak invariance principle for non-adapted sequences under projective criteria. Zbl 1137.60016 Dedecker, Jérôme; Merlevède, Florence; Volný, Dalibor 26 2007 The empirical distribution function for dependent variables: asymptotic and nonasymptotic results in \({\mathbb L}^p\). Zbl 1184.60008 Dedecker, Jérôme; Merlevède, Florence 8 2007 Recent advances in invariance principles for stationary sequences. Zbl 1189.60078 Merlevède, Florence; Peligrad, Magda; Utev, Sergey 66 2006 On the weak invariance principle for stationary sequences under projective criteria. Zbl 1117.60022 Merlevède, Florence; Peligrad, Magda 16 2006 Super optimal rates for nonparametric density estimation via projection estimators. Zbl 1065.62057 Comte, F.; Merlevéde, F. 9 2005 The conditional central limit theorem in Hilbert spaces. Zbl 1075.60501 Dedecker, Jérôme; Merlevède, Florence 21 2003 On the central limit theorem and its weak invariance principle for strongly mixing sequences with values in a Hilbert space via martingale approximation. Zbl 1038.60029 Merlevède, Florence 5 2003 Necessary and sufficient conditions for the conditional central limit theorem. Zbl 1015.60016 Dedecker, Jérôme; Merlevède, Florence 37 2002 On the coupling of dependent random variables and applications. Zbl 1038.60021 Merlevède, Florence; Peligrad, Magda 8 2002 Estimation of the asymptotic variance of kernel density estimators for continuous time processes. Zbl 1023.62042 Guillou, Armelle; Merlevède, Florence 3 2001 The functional central limit theorem under the strong mixing condition. Zbl 1023.60040 Merlevède, Florence; Peligrad, Magda 17 2000 Estimation of the asymptotic variance of kernel density estimators for continuous time processes. Zbl 1006.62029 Blanke, D.; Merlevède, F. 2 2000 Asymptotic normality for density kernel estimators in discrete and continuous time. Zbl 0926.60024 Bosq, Denis; Merlevède, Florence; Peligrad, Magda 18 1999 Sharp conditions for the CLT of linear processes in a Hilbert space. Zbl 0885.60015 Merlevède, Florence; Peligrad, Magda; Utev, Sergey 19 1997 Results of almost sure convergence for the estimation and the prediction of Hilbertian linear processes. (Résultats de convergence presque sûre pour l’estimation et la prévision des processus linéaires hilbertiens.) Zbl 0876.62079 Merlevède, Florence 2 1997 Central limit theorem for linear processes with values in Hilbert space. Zbl 0889.60012 Merlevède, F. 3 1996 Laws of large numbers and compact law of the iterated logarithm for linear processes with values in a Banach space of type 2. (Lois des grands nombres et loi du logarithme itéré compacte pour des processus linéaires à valeurs dans un espace de Banach de type 2.) Zbl 0860.60007 Merlevède, Florence 1 1996 On the invertibility of Hilbert space valued linear processes. (Sur l’inversibilité des processus linéaires à valeurs dans un espace de Hilbert.) Zbl 0838.60037 Merlevède, Florence 4 1995 all cited Publications top 5 cited Publications all top 5 Cited by 614 Authors 50 Merlevède, Florence 45 Dedecker, Jérôme 39 Peligrad, Magda 18 Cuny, Christophe 13 Melbourne, Ian 13 Volný, Dalibor 11 Fan, Xiequan 11 Giraudo, Davide 10 Hafouta, Yeor 9 Jirak, Moritz 9 Rio, Emmanuel 8 Peligrad, Costel 7 Grama, Ion G. 7 Liu, Quansheng 7 Nicol, Matthew 7 Prieur, Clémentine 7 Račkauskas, Alfredas Yurgevich 7 Woodroofe, Michael Barrett 7 Wu, Wei Biao 6 Doukhan, Paul 5 Banna, Marwa 5 Bosq, Denis 5 Korepanov, Alexey 5 Krüger, Torben 5 Longla, Martial 5 Suquet, Charles 5 Török, Andrei 5 Vaienti, Sandro 5 Wang, Yizao 5 Zhao, Ou 4 Dolgopyat, Dmitry 4 El Machkouri, Mohamed 4 Erdős, László 4 Fan, Jianqing 4 Linton, Oliver Bruce 4 Pène, Françoise 4 Seo, Myunghwan 4 Utev, Sergey 4 Xiao, Hui 4 Yaskov, Pavel A. 3 Ajanki, Oskari Heikki 3 Amorino, Chiara 3 Barigozzi, Matteo 3 Belomestny, Denis 3 Bradley, Richard C. jun. 3 Caron, Emmanuel 3 Chen, Peng 3 Dede, Sophie 3 Dehling, Herold G. 3 Dragičević, Davor 3 Han, Fang 3 Heiny, Johannes 3 Jiang, Binyan 3 Kloeckner, Benoît R. 3 Krebs, Johannes T. N. 3 Lei, Liangzhen 3 Liao, Yuan 3 Park, Joon Y. 3 Sang, Hailin 3 Schick, Anton 3 Tian, Peng 3 Varandas, Paulo 3 Wang, Xuejun 3 Wefelmeyer, Wolfgang 3 Xu, Lihu 2 Adamczak, Radosław 2 Alquier, Pierre 2 Álvarez-Liébana, Javier 2 Araújo, Vítor 2 Atchadé, Yves F. 2 Bálint, Péter 2 Barrera, David 2 Basrak, Bojan 2 Bednorz, Witold Marek 2 Bertin, Karine 2 Bouzebda, Salim 2 Bücher, Axel 2 Chakrabarti, Arijit 2 Chen, Zhanshou 2 Cho, Haeran 2 Dabo-Niang, Sophie 2 Demers, Mark F. 2 Dette, Holger 2 Dierickx, Gauthier 2 Durieu, Olivier 2 Dutta, Santanu 2 Gloter, Arnaud 2 Guihéneuf, Pierre-Antoine 2 Guillotin-Plantard, Nadine 2 Hafner, Christian Matthias 2 Hallin, Marc 2 Han, Yuefeng 2 Hazra, Rajat Subhra 2 Hušková, Marie 2 Kaufmann, Lucas 2 Kesseböhmer, Marc 2 Kevei, Péter 2 Klicnarová, Jana 2 Klutchnikoff, Nicolas 2 Kojadinovic, Ivan ...and 514 more Authors all top 5 Cited in 110 Serials 53 Stochastic Processes and their Applications 24 Journal of Theoretical Probability 23 Journal of Econometrics 22 Statistics & Probability Letters 19 Bernoulli 17 The Annals of Probability 16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 16 Electronic Journal of Statistics 13 Statistical Inference for Stochastic Processes 13 Stochastics and Dynamics 11 Journal of Statistical Planning and Inference 11 Probability Theory and Related Fields 10 Journal of Mathematical Analysis and Applications 10 The Annals of Statistics 10 Ergodic Theory and Dynamical Systems 9 Econometric Theory 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Communications in Statistics. Theory and Methods 7 Journal of Statistical Physics 7 Journal of Time Series Analysis 7 Statistics 7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 6 Nonlinearity 6 Advances in Mathematics 6 Journal of Multivariate Analysis 6 Transactions of the American Mathematical Society 5 Lithuanian Mathematical Journal 5 Theory of Probability and its Applications 5 The Annals of Applied Probability 5 Electronic Journal of Probability 5 Random Matrices: Theory and Applications 4 Communications in Mathematical Physics 4 Journal of Applied Probability 4 Mathematical Methods of Statistics 4 Statistical Papers 4 Science China. Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Stochastics 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Annales Henri Lebesgue 2 Advances in Applied Probability 2 Metrika 2 Periodica Mathematica Hungarica 2 Rocky Mountain Journal of Mathematics 2 Scandinavian Journal of Statistics 2 Chaos, Solitons and Fractals 2 Journal of Functional Analysis 2 Mathematics of Operations Research 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Statistica Sinica 2 Electronic Communications in Probability 2 Dynamical Systems 2 Journal of the Korean Statistical Society 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annals of the Institute of Statistical Mathematics 1 Applied Mathematics and Optimization 1 Bulletin de la Société Mathématique de France 1 Dissertationes Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Real Analysis Exchange 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Statistical Science 1 Econometric Reviews 1 Journal of Scientific Computing 1 Neural Computation 1 Economics Letters 1 The Journal of Geometric Analysis 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Computational Statistics and Data Analysis 1 Turkish Journal of Mathematics 1 Filomat 1 Random Operators and Stochastic Equations 1 Journal of Computational Neuroscience 1 Annals of Mathematics and Artificial Intelligence 1 Lifetime Data Analysis 1 Journal of Nonparametric Statistics 1 Mathematical Finance 1 Conformal Geometry and Dynamics 1 Journal of Inequalities and Applications 1 International Journal of Theoretical and Applied Finance 1 Journal of Integer Sequences 1 Extremes 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Brazilian Journal of Probability and Statistics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Foundations of Physics 1 Journal of Industrial and Management Optimization 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Modern Dynamics 1 Journal of Mathematical Inequalities 1 Journal of Statistical Theory and Practice 1 Statistics Surveys ...and 10 more Serials all top 5 Cited in 31 Fields 361 Probability theory and stochastic processes (60-XX) 204 Statistics (62-XX) 73 Dynamical systems and ergodic theory (37-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 11 Functional analysis (46-XX) 9 Operator theory (47-XX) 8 Numerical analysis (65-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Computer science (68-XX) 5 Measure and integration (28-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year