范协铨

一、基本资料

二、教育背景与工作经历

2009年9月- 2013年8月：大西洋布列塔尼数学实验室，法国南布列塔尼大学，博士

2013年10月- 2015年9月：法国国家信息与自动化研究所和巴黎中央理工大学（现为巴黎萨克雷大学），博士后

2015年9月- 2023年2月：天津大学,  副教授

2023年3月至今：东北大学秦皇岛分校, 副教授

三、主讲课程和研究方向

本科生课程：

概率论、数理统计、生物统计学、高等数学、线性代数等

研究方向：

     概率论和数理统计、极限理论、自正则化极限理论、正态逼近、集中不等式等

四、主要成果和荣誉

主要论文：

[1] Fan, X., Grama, I. and Liu, Q., 2012. Hoeffding's inequality for supermartingales, Stochastic Process. Appl. 122, 3545--3559.  

[2] Fan, X., Grama, I. and Liu, Q., 2012. Large deviation exponential inequalities for supermartingales, Electron. Commun. Probab. 17, no. 59, 1--8.

[3] Fan, X., Grama, I. and Liu, Q., 2013. Cramer large deviation expansions for martingales under Bernstein's condition, Stochastic Process. Appl. 123, 3919--3942.  

[4] Fan, X., Grama, I. and Liu, Q., 2013. Sharp large deviations under Bernstein's condition, C. R. Acad. Sci. Paris, Ser. I. 351, 845--848.

[5] Chazottes, J.R., Cuny, C., Dedecker, J., Fan, X. and Lemler, S., 2014. Limit theorems and inequalities via martingale methods, ESAIM: Proceedings.44,177--196.

[6] Fan, X., Grama, I. and Liu, Q., 2014. A generalization of Cramer large deviations for martingales, C. R. Acad. Sci. Paris, Ser. I. 352, 853--858.

[7] Dedecker, J. and Fan, X., 2015. Deviation inequalities for separately Lipschitz functionals of iterated random functions, Stochastic Process. Appl. 125, 60--90.  

[8] Fan, X., Grama, I. and Liu, Q., 2015. Exponential inequalities for martingales with applications. Electron. J. Probab. 20,  no. 1, 1--22.

[9] Fan, X., Grama, I. and Liu, Q., 2015. Sharp large deviation results for sums of independent random variables. Sci. China Math. 58,  1939--1958.

[10] Fan, X., Grama, I. and Liu, Q., 2017. Non-uniform Berry-Esseen bounds for martingales with applications to statistical estimation. Statistics 51(1): 105--122.

[11] Fan, X., Grama, I. and Liu, Q., 2017. Deviation inequalities for martingales with applications. J. Math. Anal.  Appl. 448(1): 538--566.

[12] Fan X. 2017. Self-normalized deviation inequalities with application to t-statistic. Statist. Probab. Letters 127:  158--164.

[13] Fan, X., Grama, I. and Liu, Q., 2017. Martingale inequalities of type Dzhaparidze and van Zanten. Statistics. 51(6), 1200--1213.

[14] Fan, X., 2017. Sharp large deviation results for sums of bounded from above random variables. Sci. China Math. 60(12), 2465--2480.

[15] Fan, X., Shao, Q.M. 2018. Berry-Esseen bounds for self-normalized martingales. Comm. Math. Statist. 6(1): 13--27.

[16] Fan, X. 2019. Exact rates of convergence in some martingale central limit theorems. J. Math. Anal. Appl. 469(2). 1028--1044.

[17] Fan, X., Grama, I., Liu, Q., Shao, Q.M. 2019. Self-normalized Cramer type moderate deviations for martingales. Bernoulli 25(4A), 2793--2823.

[18] Fan, X., Wang, S. 2019. Bernst ein type inequalities for self-normalized martingales with applications. Statistics  53(2): 245--260.

[19] Fan, X., Levy-Vehel, J. 2019. Tempered Fractional Multistable Motion and Tempered Multifractional Stable Motion. ESAIM-Probab. Stat. 23, 37--67.

[20] Fan, X. 2019. Cramer-type moderate deviations for stationary sequences of bounded random variables. C. R. Acad. Sci. Paris, Ser. I. 357(5), 463--477.

[21] Alquier P., Doukhan P., Fan X. 2019. Exponential inequalities for nonstationary Markov chains. Dependence Modeling 7(1), 150--168.

[22] Dedecker, J., Doukhan P., Fan X. 2019. Deviation inequalities for separately Lipschitz functionals of composition of random functions. J. Math. Anal. Appl. 479(2), 1549--1568.  

[23] El Machkouri M., Fan X., Reding L. 2020. On the Nadaraya-Watson kernel regression estimator for irregularly spaced spatial data. J. Stat. Plann. Infer. 205, 92--114.

[24] Fan, X., Grama, I. and Liu, Q., 2020. Cramer moderate deviation expansion for martingales with one-sided Sakhanenko's condition and its applications. J. Theoret. Probab. 33, 749--787.

[25] Fan, X. 2020. Cramer type moderate deviations for self-normalized $\psi$-mixing sequences. J. Math. Anal.  Appl. 486(2): 123902.

[26] Fan, X., Grama, I., Liu, Q., Shao, Q.M. 2020. Self-normalized Cramer type moderate deviations for stationary sequences and applications. Stochastic Process. Appl. 130(8): 5124--5148.   

[27] Wu, S., Ma, X., Sang, H., Fan, X., 2020. A Berry-Esseen bound of order 1/sqrt{n} for martingales. C. R. Acad. Sci. Paris, Ser. I. 358(6): 701--712.

[28] Fan, X., Ma, X. 2020. On the Wassertein distance for a martingale central limit theorem. Statist. Probab. Letters 167. 108892.

[29] Hu, H., Froment, J., Wang, B., Fan, X. 2020. Spatial-frequency domain nonlocal total variation for image denoising. Inverse Probl. Imaging 14(6): 1157--1184.

[30] Fan, X., Hu, H., Liu, Q. 2020. Uniform Cramer moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment. Front. Math. China 15(5): 891--914

[31] Fan, X., Hu, H., Ma, X. 2021. Cramer moderate deviations for the elephant random walk. J. Stat. Mech. Theory E. 2021: 23402.

[32] Ma, X., El Machkouri M., Fan, X. 2022. On Wasserstein-1 distance in the central limit theorem for elephant random walk. J. Math. Phys. 63(1): 013301.

[33] Fan, X., Alquier, P., Doukhan, P. 2022. Deviation inequalities for stochastic approximation by averaging. Stochastic Process. Appl. 152(1), 452--485

[34] Doukhan, P., Fan, X., Gao, Z.Q. 2023. Cramer moderate deviations for a supercritical Galton-Watson process. Statist. Probab. Letters. 192, 109711

[35] Fan, X., Shao, Q.M. 2023. Self-normalized Cramér moderate deviations for a supercritical Galton-Watson process. J. Appl. Probab. 60(4), 1281--1292

[36] Deng, G.T., Fan, X., Gao, Z.Q., 2023. Asymptotic expansions in the local limit theorem for a branching Wiener process. Statist. Probab. Letters. 199, 109856.

[37] Fan, X., Hu, H., Wu, H., Ye, Y. 2023. Comparison on the criticality parameters for two supercritical branching processes in random environments. Acta Math. Sci.(in Chinese), 43A(5): 1440--1470.

[38] Wu, H., Gao, Z.Q., Ye, Y., Fan, X., 2023. Wasserstein-1 distance and nonuniform Berry-Esseen bound for a supercritical branching process in a random environment. J. Math. Research Appl. 43(6):737--753.

[39] Dedecker, J., Fan, X., Hu, H., Merlevede, F., 2023. Rates of convergence  in the central limit theorem for the elephant random walk with random step sizes. J. Statist. Phys. 190(10), 154.

[40] Fan, X., 2024. Sharp moderate and large deviations for sample quantiles. Statist. Probab. Letters. 205, 109951.

[41] Fan, X., Shao, Q.M. 2024+. Cramér's moderate deviations for martingales with applications. Ann. Inst. H. Poincaré Probab. Statist., to appear.

基金情况:

1) 基于重稳定过程的金融模型, 法国国家信息与自动化研究所, 2013.10-2015.8, 已结题.

2) 依时随机环境中的实值分枝随机游动的极限定理, 国家青年科学基金, 第二参与者, 2016.1-2018.12, 已结题.

3) 鞅的 Cramer 型大偏差展式及其应用, 国家青年科学基金, 主持者, 2017.1-2019.12,已结题.

4) 关于鞅的Berry-Esseen界, 天津大学北洋学者, 主持者, 2018.1-2019.12, 已结题.

5) 分枝随机游动的极限理论, 国家自然科学基金面上, 第一参与者, 2020.1-2023.12, 在研.

6) 相依随机变量的自正则化极限理论及其应用，国家自然科学基金面上, 主持者, 2024.1-2027.12, 在研. 

荣誉及获奖：

2017年获得天津市数学会“青年学术奖一等奖”、天津大学北洋学者‧青年骨干教师。

五、主要社会团体兼职

2013年起担任美国数学会 Math. Reviews 评论员；

2017年起担任全国研究生教育评估监测专家；

2020年8月-2022年8月，受邀担任数学杂志《Mathematics Letters》的编委；

2022年11月-2024年11月，受邀担任数学杂志《World Journal of Mathematics and Statistics》的编委；

2022年起担任德国数学文摘zbMATH Open评论员；

2022年全国本科毕业论文（设计）抽检评审专家。

以下 SCI 杂志审稿人：《Bernoulli》；《Ann. Appl. Probab.》；《Stochastic Process. Appl.》；《Ann. Inst. H. Poincaré Probab. Statist.》；《Sci. China Math.》；《SIAM J. Scientific Computing》；《Electron. J. Probab.》；《J. Statist. Physics》；《J. Math. Anal. Appl.》；《Chaos, Solitons & Fractals》；《Comm. Statist. Theory Methods》；《Algorithmica》；《Statistics》；《Statist. Probab. Lett.》；《Frontiers Math. China》；《AIMS Math.》；《Statistica Neerlandica》；《Filomat》；《Lithuanian Math. J.》；《中国科学》. 

六、联系方式

  电子邮箱： fanxiequan@neuq.edu.cn, fanxiequan@126.com