范协铨，男，1982年12月，理学博士，教授，博士生导师，硕士生导师。
联系方式
电子邮件：fanxiequan@neuq.edu.cn
研究方向
主要研究以下极限理论问题及其在数理统计中的应用：
1. 正态逼近理论；
2. 自正则化极限理论；
3. 偏差不等式；
4. 中偏差和大偏差；
5. 大象随机游动；
教育背景
2002.09-2006.06 湖北大学 数学与应用数学 理学学士；
2006.09-2009.06 北京师范大学 基础数学 理学硕士；
2009.10-2013.08 法国南布列塔尼大学（国家公派） 概率论与数理统计 理学博士；
工作履历
2013.10-2015.09 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；
2015.09-2023.02 天津大学, 副教授；
2023.03-今天 东北大学秦皇岛分校, 副教授/教授；
学术兼职
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》；
奖励与荣誉
科研情况
【在研项目】
1.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项目,主持者,2024.01-2027.12.
2.大象随机游动的极限理论,河北省自然科学基金面上项目,主持者,2025.01-2027.12
【结题项目】
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,主持, 2013.10-2015.08；
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；
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, 2017.01-2019.12；
4.关于鞅的Berry-Esseen界,天津大学北洋学者,主持者,2018.01-2019.12；
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.
奖励与荣誉
1. 2017年天津市数学会“青年学术奖一等奖”；
2. 2017年天津大学“北洋学者*青年骨干教师”；
学术成果
近年来，在本方向权威杂志《Bernoulli》、 《Stochastic Process. Appl.》、 《Ann. I.H.P. Probab. Statist.》、《Sci. China Math.》上发表SCI检索论文40多篇，发表高被引和热点论文1篇。
【代表性学术论文】
[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. 60(3): 2046--2074.
[42] Fan, X., Hu, H., Xu, L., 2024. Normalized and self-normalized Cramér-type moderate deviations for Euler-Maruyama scheme for SDE. Sci. China Math. 67(8): 1865--188
[43] Fan, X., Shao, Q.M., 2025. Cramér's moderate deviations for martingales with applications. Bernoulli 31(1), 2025, 130--161.
学术报告
【1】 Nanning, China, 28 Jun - 2 July, 2017. IMS-China International Conference on Statistics and Probability. Invited talk of 30 min.: Self-normalized Cramer type moderate deviations for martingales.
【2】 Beidaihe, China, 18-21 July, 2017. 津冀数学会联合学术年会. Invited talk of 30 min.: Self-normalized Cramer type moderate deviations for martingales.
【3】 Changchun, China, 23-27 Sept., 2017. 2nd Sino-Russian Seminar on Asymptotic Methods in Probability Theory and Mathematical Statistics. Talk of 30 min.: Self-normalized Cramer type moderate deviations for martingales.
【4】Singapore, 26-29 July, 2018. The 5th Institute of Mathematical Statistics Asia Pacific Rim Meeting. Invited talk of 30 min.: Self-normalized Cramer type moderate deviations for martingales.
【5】Taipei, China, 4-10 August, 2018. The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Invited talk of 30 min.: Self-normalized Cramer type moderate deviations for martingales.
【6】Paris, France, 3 June, 2019. 4th Nonstationary Day. Invited talk of 20 min.: Concentration inequalities for time non homogeneous Markov chains.
【7】Tianjin, China, 26 Oct., 2019. Workshop on probability between BNU and TJU. Talk of 30 min.: Exact rates of convergence in some martingale central limit theorems.
【8】 Guiyang, China, 9-11 July, 2021. 第十二届全国概率极限理论和统计大样本理论学术研讨会}. Invited talk of 45 min.: self-normalized Cramer type moderate deviations for martingales with applications.
【9】 Paris, 15-17 Sept., 2021. Ecodep Conference 2021. Invited talk of 45 min.(on line): Self-normalized Cramér moderate deviations for a supercritical Galton-Watson process.
【10】Wuhan, China, 27 June-1 July, 2022. 42nd conference on Stochastic Processes and their Applications. Talk of 25 min.: Deviation inequalities for stochastic approximation by averaging.
【11】Weihai, China, 27-31 Aug., 2022. Annual conference on probability. Talk of 25 min.: Self-normalized Cramer type moderate deviations for martingales with applications.
【12】Chengdu, China, 30 June-3 July, 2023. 2023 ICSA China Conference. Talk of 25 min.: Self-normalized Cramer type moderate deviations for martingales with applications.
【13】 Beijing, China, 10-13 July, 2023. Join Conference on Statistics and Data Science in China. Talk of 25 min.: Cramer's moderate deviations for martingales with applications.
【14】 Fuzhou, China, 20-25 Aug., 2023. 第八届全国概率论年会. Talk of 25 min.: Cramer's moderate deviations for martingales with applications.
【15】 Qinhuangdao, China, 22 Sept., 2023. 河北省工业与应用数学学会2023年会. Talk of 25 min.: Cramer's moderate deviations for martingales with applications.
【16】 Beijing, China, 10-13 July, 2023. Join Conference on Statistics and Data Science in China. Talk of 25 min.: Cramer's moderate deviations for martingales with applications.
【17】 Wuhan, China, 27-30 June, 2024. ICSA China Conference. Talk of 30 min.: Cramer's moderate deviations for martingales with applications.
【18】 Yinchuan,China,6-9 July, 2024. IMS China International Conference on Statistics and Probability. Talk of 30 min.: Rates of convergence in the distances of Kolmogorov and Wasserstein for standardized martingales.
【19】 Xiamen, China,7-11 Oct.,2024. Annual conference on probability. Talk of 25 min.: Rates of convergence in the distances of Kolmogorov and Wasserstein for standardized martingales.
【20】 Changsha, China, 12-16 June, 2025. 第九届全国概率论年会. Talk of 25 min.: Self-normalized Cramer type moderate deviations for martingales with applications.
【21】 Hangzhou, China, 11-13 July, 2025. Join Conference on Statistics and Data Science in China. Talk of 25 min.: Cramer's moderate deviations for martingales with applications.
讲授课程情况
《概率论》、《数理统计》、《生物统计学》、《高等数学》、《线性代数》
指导研究生情况
已毕业硕士研究5人，获1人次国家奖学金，1人次天津大学三好学生，4人次一等学业奖学金，发表SCI论文多篇。
