Edit Profile (opens in new tab) Fan, Xiequan Co-Author Distance Author ID: fan.xiequan Published as: Fan, Xiequan; Fan, XieQuan; Fan, X. more...less External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 54 Publications since 2010, including 13 Additional arXiv Preprints Reviewing Activity: 2 Reviews Co-Authors: 27 Co-Authors with 45 Joint Publications 674 Co-Co-Authors all top 5 Co-Authors 9 single-authored 15 Liu, Quansheng 14 Grama, Ion G. 6 Hu, Haijuan 6 Shao, Qi-Man 5 Dedecker, Jérôme 5 Doukhan, Paul 5 Ma, Xiaohui 3 Gao, Zhiqiang 2 Alquier, Pierre 2 Deng, Guantie 2 El Machkouri, Mohamed 2 Lévy Véhel, Jacques 2 Sang, Hailin 2 Wu, Songqi 2 Ye, Yinna 1 Bobbia, Benjamin 1 Chazottes, Jean-René 1 Cuny, Christophe 1 Froment, Jacques 1 Giraudo, Davide 1 Lemler, Sarah 1 Merlevède, Florence 1 Reding, Lucas 1 Su, Zhonggen 1 Wang, Baoyan 1 Wang, Shen 1 Xu, Lihu all top 5 Serials 5 Statistics & Probability Letters 5 Stochastic Processes and their Applications 4 Journal of Mathematical Analysis and Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Statistics 2 Science China. Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Journal of Applied Probability 1 Journal of Statistical Planning and Inference 1 Journal of Mathematical Research & Exposition 1 Journal of Theoretical Probability 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Statistical Mechanics: Theory and Experiment 1 Frontiers of Mathematics in China 1 Inverse Problems and Imaging 1 Journal of Mathematical Research with Applications 1 Communications in Mathematics and Statistics 1 Dependence Modeling 1 Graduate Journal of Mathematics all top 5 Fields 50 Probability theory and stochastic processes (60-XX) 13 Statistics (62-XX) 2 Computer science (68-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 165 times in 92 Documents Cited by ▼ Year ▼ Hoeffding’s inequality for supermartingales. Zbl 1267.60045 Fan, Xiequan; Grama, Ion; Liu, Quansheng 21 2012 Exponential inequalities for martingales with applications. Zbl 1320.60058 Fan, Xiequan; Grama, Ion; Liu, Quansheng 15 2015 Cramér large deviation expansions for martingales under Bernstein’s condition. Zbl 1327.60069 Fan, Xiequan; Grama, Ion; Liu, Quansheng 15 2013 Deviation inequalities for separately Lipschitz functionals of iterated random functions. Zbl 1301.60055 Dedecker, Jérôme; Fan, Xiequan 12 2015 Large deviation exponential inequalities for supermartingales. Zbl 1312.60016 Fan, Xiequan; Grama, Ion; Liu, Quansheng 10 2012 Self-normalized Cramér type moderate deviations for martingales. Zbl 1428.62424 Fan, Xiequan; Grama, Ion; Liu, Quansheng; Shao, Qi-Man 10 2019 Cramér moderate deviations for the elephant random walk. Zbl 07330579 Fan, Xiequan; Hu, Haijuan; Ma, Xiaohui 8 2021 Deviation inequalities for martingales with applications. Zbl 1387.60034 Fan, Xiequan; Grama, Ion; Liu, Quansheng 7 2017 Sharp large deviation results for sums of independent random variables. Zbl 1328.60073 Fan, XieQuan; Grama, Ion; Liu, QuanSheng 6 2015 Self-normalized Cramér type moderate deviations for stationary sequences and applications. Zbl 1445.60027 Fan, Xiequan; Grama, Ion; Liu, Quansheng; Shao, Qi-Man 6 2020 Exact rates of convergence in some martingale central limit theorems. Zbl 1409.60038 Fan, Xiequan 6 2019 Uniform Cramér moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment. Zbl 1468.60102 Fan, Xiequan; Hu, Haijuan; Liu, Quansheng 5 2020 On the Nadaraya-Watson kernel regression estimator for irregularly spaced spatial data. Zbl 1437.62143 El Machkouri, M.; Fan, X.; Reding, L. 5 2020 Exponential inequalities for nonstationary Markov chains. Zbl 1434.60171 Alquier, Pierre; Doukhan, Paul; Fan, Xiequan 5 2019 Sharp large deviations for sums of bounded from above random variables. Zbl 1382.60053 Fan, XieQuan 4 2017 Martingale inequalities of type Dzhaparidze and van Zanten. Zbl 1379.60046 Fan, Xiequan; Grama, Ion; Liu, Quansheng 4 2017 Cramér type moderate deviations for self-normalized \(\psi \)-mixing sequences. Zbl 1451.60034 Fan, Xiequan 4 2020 On Wasserstein-1 distance in the central limit theorem for elephant random walk. Zbl 1507.60061 Ma, Xiaohui; El Machkouri, Mohamed; Fan, Xiequan 4 2022 Deviation inequalities for separately Lipschitz functionals of composition of random functions. Zbl 1479.60041 Dedecker, Jérôme; Doukhan, Paul; Fan, Xiequan 4 2019 Cramér moderate deviation expansion for martingales with one-sided Sakhanenko’s condition and its applications. Zbl 1456.60098 Fan, Xiequan; Grama, Ion; Liu, Quansheng 3 2020 Berry-Esseen bounds for self-normalized martingales. Zbl 1391.60089 Fan, Xiequan; Shao, Qi-Man 2 2018 Non-uniform Berry-Esseen bounds for martingales with applications to statistical estimation. Zbl 1366.60076 Fan, X.; Grama, I.; Liu, Q. 2 2017 Sharp large deviations under Bernstein’s condition. (Grandes déviations précises sous la condition de Bernstein.) Zbl 1285.60023 Fan, Xiequan; Grama, Ion; Liu, Quansheng 2 2013 Limit theorems and inequalities via martingale methods. Zbl 1347.60047 Chazottes, Jean-René; Cuny, Christophe; Dedecker, Jérôme; Fan, Xiequan; Lemler, Sarah 1 2014 A Berry-Esseen bound of order \(\frac{1}{\sqrt{n}}\) for martingales. (Une borne de Berry-Esseen d’ordre \(\frac{1}{\sqrt{n}}\) pour les martingales.) Zbl 1471.60060 Wu, Songqi; Ma, Xiaohui; Sang, Hailin; Fan, Xiequan 1 2020 Tempered fractional multistable motion and tempered multifractional stable motion. Zbl 1411.60072 Fan, Xiequan; Véhel, Jacques Lévy 1 2019 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 Cramér-type moderate deviations for stationary sequences of bounded random variables. (Déviations modérées de type cramér pour les suites stationnaires.) Zbl 1422.60042 Fan, Xiequan 1 2019 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 Wasserstein-1 distance in the central limit theorem for elephant random walk. Zbl 1507.60061 Ma, Xiaohui; El Machkouri, Mohamed; Fan, Xiequan 4 2022 Cramér moderate deviations for the elephant random walk. Zbl 07330579 Fan, Xiequan; Hu, Haijuan; Ma, Xiaohui 8 2021 Self-normalized Cramér type moderate deviations for stationary sequences and applications. Zbl 1445.60027 Fan, Xiequan; Grama, Ion; Liu, Quansheng; Shao, Qi-Man 6 2020 Uniform Cramér moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment. Zbl 1468.60102 Fan, Xiequan; Hu, Haijuan; Liu, Quansheng 5 2020 On the Nadaraya-Watson kernel regression estimator for irregularly spaced spatial data. Zbl 1437.62143 El Machkouri, M.; Fan, X.; Reding, L. 5 2020 Cramér type moderate deviations for self-normalized \(\psi \)-mixing sequences. Zbl 1451.60034 Fan, Xiequan 4 2020 Cramér moderate deviation expansion for martingales with one-sided Sakhanenko’s condition and its applications. Zbl 1456.60098 Fan, Xiequan; Grama, Ion; Liu, Quansheng 3 2020 A Berry-Esseen bound of order \(\frac{1}{\sqrt{n}}\) for martingales. (Une borne de Berry-Esseen d’ordre \(\frac{1}{\sqrt{n}}\) pour les martingales.) Zbl 1471.60060 Wu, Songqi; Ma, Xiaohui; Sang, Hailin; Fan, Xiequan 1 2020 Self-normalized Cramér type moderate deviations for martingales. Zbl 1428.62424 Fan, Xiequan; Grama, Ion; Liu, Quansheng; Shao, Qi-Man 10 2019 Exact rates of convergence in some martingale central limit theorems. Zbl 1409.60038 Fan, Xiequan 6 2019 Exponential inequalities for nonstationary Markov chains. Zbl 1434.60171 Alquier, Pierre; Doukhan, Paul; Fan, Xiequan 5 2019 Deviation inequalities for separately Lipschitz functionals of composition of random functions. Zbl 1479.60041 Dedecker, Jérôme; Doukhan, Paul; Fan, Xiequan 4 2019 Tempered fractional multistable motion and tempered multifractional stable motion. Zbl 1411.60072 Fan, Xiequan; Véhel, Jacques Lévy 1 2019 Cramér-type moderate deviations for stationary sequences of bounded random variables. (Déviations modérées de type cramér pour les suites stationnaires.) Zbl 1422.60042 Fan, Xiequan 1 2019 Berry-Esseen bounds for self-normalized martingales. Zbl 1391.60089 Fan, Xiequan; Shao, Qi-Man 2 2018 Deviation inequalities for martingales with applications. Zbl 1387.60034 Fan, Xiequan; Grama, Ion; Liu, Quansheng 7 2017 Sharp large deviations for sums of bounded from above random variables. Zbl 1382.60053 Fan, XieQuan 4 2017 Martingale inequalities of type Dzhaparidze and van Zanten. Zbl 1379.60046 Fan, Xiequan; Grama, Ion; Liu, Quansheng 4 2017 Non-uniform Berry-Esseen bounds for martingales with applications to statistical estimation. Zbl 1366.60076 Fan, X.; Grama, I.; Liu, Q. 2 2017 Exponential inequalities for martingales with applications. Zbl 1320.60058 Fan, Xiequan; Grama, Ion; Liu, Quansheng 15 2015 Deviation inequalities for separately Lipschitz functionals of iterated random functions. Zbl 1301.60055 Dedecker, Jérôme; Fan, Xiequan 12 2015 Sharp large deviation results for sums of independent random variables. Zbl 1328.60073 Fan, XieQuan; Grama, Ion; Liu, QuanSheng 6 2015 Limit theorems and inequalities via martingale methods. Zbl 1347.60047 Chazottes, Jean-René; Cuny, Christophe; Dedecker, Jérôme; Fan, Xiequan; Lemler, Sarah 1 2014 Cramér large deviation expansions for martingales under Bernstein’s condition. Zbl 1327.60069 Fan, Xiequan; Grama, Ion; Liu, Quansheng 15 2013 Sharp large deviations under Bernstein’s condition. (Grandes déviations précises sous la condition de Bernstein.) Zbl 1285.60023 Fan, Xiequan; Grama, Ion; Liu, Quansheng 2 2013 Hoeffding’s inequality for supermartingales. Zbl 1267.60045 Fan, Xiequan; Grama, Ion; Liu, Quansheng 21 2012 Large deviation exponential inequalities for supermartingales. Zbl 1312.60016 Fan, Xiequan; Grama, Ion; Liu, Quansheng 10 2012 all cited Publications top 5 cited Publications all top 5 Cited by 116 Authors 29 Fan, Xiequan 8 Dedecker, Jérôme 8 Liu, Quansheng 7 Grama, Ion G. 6 Doukhan, Paul 5 Giraudo, Davide 5 Merlevède, Florence 4 Cuny, Christophe 4 Ma, Xiaohui 3 Alquier, Pierre 3 Dabo-Niang, Sophie 3 El Machkouri, Mohamed 3 Gao, Zhiqiang 3 Garnier, Rémy 3 Hili, Ouagnina 3 Hu, Haijuan 3 Kanga, Serge-Hippolyte Arnaud 3 Shao, Qi-Man 2 Bercu, Bernard 2 Jiang, Hui 2 Kötzing, Timo 2 Laulin, Lucile 2 Pelekis, Christos 2 Ramdas, Aaditya K. 2 Ramon, Jan 2 Rio, Emmanuel 2 Sang, Hailin 1 Aguech, Rafik 1 Aoun, Richard 1 Arvanitis, Stelios 1 Backhausz, Ágnes M. 1 Beknazaryan, Aleksandr F. 1 Benslimane, Salim 1 Bertin, Karine 1 Blanchard, Gilles 1 Bobbia, Benjamin 1 Bradic, Jelena 1 Chazottes, Jean-René 1 Chen, Jiaming 1 Coronel, Aníbal 1 Cui, Jiazhen 1 Doerr, Benjamin 1 El Moumen, AbdelKader 1 Falconer, Kenneth J. 1 Grünwald, Peter D. 1 Hayashi, Masafumi 1 Howard, Steven R. 1 Huancas, Fernando 1 Huang, Xulan 1 Kalogerias, Dionysios S. 1 Kamčev, Nina 1 Kloeckner, Benoît R. 1 Kock, Anders Bredahl 1 Kojevnikov, Denis 1 Krivelevich, Michael 1 Langhendries, Raphaël 1 Lee, Lung-Fei 1 Lei, Jing 1 Lemler, Sarah 1 Li, Yingqiu 1 Light, Bar 1 Liu, Qiaojing 1 Liu, Songhao 1 Lu, Chao 1 Lu, Jianya 1 Masini, Ricardo P. 1 Mathieu, Pierre 1 Mcauliffe, Jon D. 1 Medeiros, Marcelo C. 1 Mendes, Eduardo F. 1 Miao, Yu 1 Móri, Tamás F. 1 Morrison, Natasha 1 N’Guessan, Assi 1 Nikolakakis, Konstantinos E. 1 Oshiro, So 1 Pan, Guangming 1 Rahmani, Samir 1 Ramírez, Alejandro F. 1 Reding, Lucas 1 Riekert, Adrian 1 Saglietti, Santiago 1 Sarwate, Anand Dilip 1 Sekhon, Jasjeet S. 1 Sert, Cagri 1 Shafer, Glenn Ray 1 Shiozawa, Yuichi 1 Song, Kyungchul 1 Song, Rui 1 Sudakov, Benny 1 Takei, Masato 1 Tan, Yuzhen 1 Tang, Haihan 1 Tang, Yanyan 1 Touati, Taieb 1 Vovk, Vladimir G. 1 Wan, Yilong 1 Wang, Shaochen 1 Wang, Shen 1 Wang, Xuejun ...and 16 more Authors all top 5 Cited in 49 Serials 11 Statistics & Probability Letters 5 Journal of Mathematical Analysis and Applications 5 Bernoulli 4 Journal of Statistical Physics 4 Stochastic Processes and their Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Mathematical Physics 3 Statistics 3 Journal of Theoretical Probability 3 Electronic Journal of Statistics 2 Journal of Applied Probability 2 Algorithmica 2 Electronic Communications in Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Stochastics and Dynamics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Science China. Mathematics 2 Journal of Mathematical Research with Applications 1 Theory of Probability and its Applications 1 Journal of Econometrics 1 Statistica Neerlandica 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Journal of Time Series Analysis 1 Statistical Science 1 Annals of Operations Research 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 Communications in Statistics. Theory and Methods 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Mathematical Methods of Statistics 1 Electronic Journal of Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Inequalities and Applications 1 Econometric Theory 1 Journal of Machine Learning Research (JMLR) 1 Mediterranean Journal of Mathematics 1 Journal of the Korean Statistical Society 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Probability Surveys 1 Afrika Statistika 1 Statistics and Computing 1 Dependence Modeling 1 Journal de l’École Polytechnique – Mathématiques 1 Bulletin of the Hellenic Mathematical Society 1 Annales Henri Lebesgue 1 Graduate Journal of Mathematics all top 5 Cited in 12 Fields 73 Probability theory and stochastic processes (60-XX) 34 Statistics (62-XX) 7 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year