范協(xié)銓，男，1982年12月，理學(xué)博士，教授，博士生導(dǎo)師，碩士生導(dǎo)師。

聯(lián)系方式

電子郵件：fanxiequan@neuq.edu.cn

研究方向

主要研究以下極限理論問題及其在數(shù)理統(tǒng)計(jì)中的應(yīng)用：

1.  正態(tài)逼近理論；

2.  自正則化極限理論；

3.  偏差不等式；

4.  中偏差和大偏差；

5.  大象隨機(jī)游動(dòng)；

教育背景

2002.09-2006.06 湖北大學(xué)   數(shù)學(xué)與應(yīng)用數(shù)學(xué)  理學(xué)學(xué)士；

2006.09-2009.06 北京師范大學(xué) 基礎(chǔ)數(shù)學(xué)     理學(xué)碩士；

2009.10-2013.08 法國南布列塔尼大學(xué)（國家公派）  概率論與數(shù)理統(tǒng)計(jì)  理學(xué)博士；

工作履歷

2013.10-2015.09 法國國家信息與自動(dòng)化研究所和巴黎中央理工大學(xué)（現(xiàn)為巴黎薩克雷大學(xué)），博士后；

2015.09-2023.02 天津大學(xué), 副教授；

2023.03-今天   威尼斯wnsr9778秦皇島分校, 副教授/教授；

學(xué)術(shù)兼職

2013年起擔(dān)任美國數(shù)學(xué)會(huì)Math.Reviews評(píng)論員；

2017年起擔(dān)任全國研究生教育評(píng)估監(jiān)測專家；

2020年8月-2022年8月，受邀擔(dān)任數(shù)學(xué)雜志《Mathematics Letters》的編委；

2022年11月-2024年11月，受邀擔(dān)任數(shù)學(xué)雜志《World Journal of Mathematics and Statistics》的編委；

2022年起擔(dān)任德國數(shù)學(xué)文摘zbMATH Open評(píng)論員；

2022年全國本科畢業(yè)論文（設(shè)計(jì)）抽檢評(píng)審專家；

以下SCI 雜志審稿人：《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.》、《中國科學(xué)》；

獎(jiǎng)勵(lì)與榮譽(yù)

科研情況

【在研項(xiàng)目】

1.相依隨機(jī)變量的自正則化極限理論及其應(yīng)用,國家自然科學(xué)基金面上項(xiàng)目,主持者,2024.01-2027.12.

2.大象隨機(jī)游動(dòng)的極限理論,河北省自然科學(xué)基金面上項(xiàng)目,主持者,2025.01-2027.12

【結(jié)題項(xiàng)目】

1.基于重穩(wěn)定過程的金融模型,法國國家信息與自動(dòng)化研究所,主持, 2013.10-2015.08；

2.依時(shí)隨機(jī)環(huán)境中的實(shí)值分枝隨機(jī)游動(dòng)的極限定理,國家青年科學(xué)基金,第二參與者,2016.1-2018.12；

3.鞅的Cramer型大偏差展式及其應(yīng)用,國家青年科學(xué)基金,主持者, 2017.01-2019.12；

4.關(guān)于鞅的Berry-Esseen界,天津大學(xué)北洋學(xué)者,主持者,2018.01-2019.12；

5.分枝隨機(jī)游動(dòng)的極限理論,國家自然科學(xué)基金面上,第一參與者, 2020.1-2023.12.

獎(jiǎng)勵(lì)與榮譽(yù)

1.2017年天津市數(shù)學(xué)會(huì)“青年學(xué)術(shù)獎(jiǎng)一等獎(jiǎng)”；

2.2017年天津大學(xué)“北洋學(xué)者*青年骨干教師”；

學(xué)術(shù)成果

近年來，在本方向權(quán)威雜志《Bernoulli》、 《Stochastic Process. Appl.》、 《Ann. I.H.P. Probab. Statist.》、《Sci. China Math.》上發(fā)表SCI檢索論文40多篇，發(fā)表高被引和熱點(diǎn)論文1篇。

【代表性學(xué)術(shù)論文】

[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.

學(xué)術(shù)報(bào)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. 津冀數(shù)學(xué)會(huì)聯(lián)合學(xué)術(shù)年會(huì). 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. 第十二屆全國概率極限理論和統(tǒng)計(jì)大樣本理論學(xué)術(shù)研討會(huì)}. 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. 第八屆全國概率論年會(huì). Talk of 25 min.: Cramer's moderate deviations for martingales with applications.

【15】 Qinhuangdao, China, 22 Sept., 2023. 河北省工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)2023年會(huì). 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. 第九屆全國概率論年會(huì). 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.

 

講授課程情況

《概率論》、《數(shù)理統(tǒng)計(jì)》、《生物統(tǒng)計(jì)學(xué)》、《高等數(shù)學(xué)》、《線性代數(shù)》

指導(dǎo)研究生情況

已畢業(yè)碩士研究5人，獲1人次國家獎(jiǎng)學(xué)金，1人次天津大學(xué)三好學(xué)生，4人次一等學(xué)業(yè)獎(jiǎng)學(xué)金，發(fā)表SCI論文多篇。