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个人简介

蒋辉,南京航空航天大学数学系教授,博士生导师。2008年6月博士毕业于武汉大学,专业为概率论与数理统计,研究方向为随机分析与大偏差理论,随机过程统计推断等,在国内外概率统计学术期刊发表多篇学术论文。主持国家自然科学基金面上,青年以及天元项目,中国博士后面上以及特别资助项目等。获教育部高等学校优秀科研成果二等奖以及湖北省自然科学二等奖(排名第二)。 教育经历 1996.91999.9平邑一中 2003.92008.6武汉大学概率论与数理统计理学博士学位硕博连读 1999.92003.7曲阜师范大学数学与应用数学理学学士学位 工作经历 2018.5至今南航理学院数学系教授 2010.42018.5南航理学院数学系副教授 2008.62010.4南航理学院数学系讲师 科研项目 概率论与数理统计(****) 金融时间序列平稳性检验中的若干渐进性质的研究 多维随机微分方程在统计推断及衍生品定价中若干问题研究 非线性高斯泛函的渐近性质及相关问题研究 O-U型过程与G-随机微分方程中若干渐近性质的研究 多维随机微分方程统计推断性质研究 几类回归过程平稳性检验中若干渐近性质的研究 获奖信息 教育部高等学校科学研究优秀成果奖

研究领域

随机分析,大偏差理论,随机过程统计推断,非参数统计

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

[1]Hui Jiang,Yilong Wan,Guangyu Yang.Deviation inequalities and Cramer-type moderate deviations for the explosive autoregressive process.Bernoulli, preprint,2021 [2]Yajuan Pan,Hui Jiang.Asymptotic properties for quadratic functionals of linear self-repelling diffusion process and applications.Stochastic Analysis and Applications,2021:preprint [3]Hui Jiang,Qingshan Yang.Moderate deviations for drift parameter estimations in reflected Ornstein-Uhlenbeck process.Journal of Theoretical Probability, preprint,2021 [4]Hui Jiang,Jin Shao,Shaochen Wang.Asymptotic behaviors for maximum likelihood estimator of drift parameter in alpha-Wiener bridge process.Statistics, preprint,2021 [5]Hui Jiang,Qingshan Yang.Asymptotic behavior of the weak approximation to a class of Gaussian processes.Journal of Applied Probability,2021,58(3):693--707 [6]Hui Jiang,Shaochen Wang,Wang Zhou.Moderate deviations for extreme eigenvalues of real-valued sample covariance matrices.Journal of Theoretical Probability,2021,34:791-808 [7]Hui Jiang,Jin Shao,Qingshan Yang.Sharp large deviations for a class of normalized L-statistics and applications.Statistical Papers,2021,62:721-744 [8]Hui Jiang,Qingshan Yang.Sample path large deviations for the multiplicative Poisson shot noise process with compensation.Stochastics,2021,93:447-477 [9]Hui Jiang,Hui Liu.Cram\'{e}r-type moderate deviations for the likelihood ratio process of Ornstein-Uhlenbeck process with shift.Stochastics and Dynamics,2021,21(2):2150027 [10]Hui Jiang,Hui Liu,Youzhou Zhou.Asymptotic properties for the parameter estimation in Ornstein-Uhlenbeck process with discrete observations.Electronic Journal of Statistics,2020(14):3192--3229 [11]Hui Jiang,Ning Zhang.Cramer-type moderate deviations for statistics in the non-stationary Ornstein-Uhlenbeck process.Stochastics,2020,92(3):478-496 [12]Hui Jiang,Weigang Wang.第二类分数Ornstein-Uhlenbeck过程中参数估计的偏差不等式与Carmer-型中偏差.中国科学: 数学,2020,50(7):1007-1022 [13]邵金,蒋辉.非时齐扩散过程遍历性的假设检验.数学进展,2019,48:482-488 [14]Hui Jiang,Junfeng Liu,Shaochen Wang.Self-normalized asymptotic properties for the parameter estimation in fractional Ornstein-Uhlenbeck process.Stochastics and Dynmics,2019,19:1950018 [15]Hacene Djellout,Hui Jiang.Large deviations of the threshold estimator of integrated (co-)volatility vector in the presence of jumps.Journal of Theoretical Probability,2018,31(3):1606-1624 [16]Yunshi Gao,Hui Jiang,Shaochen Wang.Moderate deviations for Euler-Maruyama approximation of Hull-White stochastic volatility model.Frontiers of Mathematics in China,2018,13(4):809-832 [17]Fuqing Gao,Hui Jiang.Deviation inequalities for quadratic Wiener functionals and moderate deviations for parameter estimators.Science China Mathematics,2017,60(7):1181-1196 [18]Hui Jiang,Shaochen Wang.Moderate deviation principles for classical likelihood ratio tests of high-dimensional normal distributions.Journal of Multivariate Analysis,2017,156:57-69 [19]Hui Jiang,Shaochen Wang.Error bounds for kernel density estimator of spectral distribution for Gaussian Unitary Ensembles.Statistics and Probability Letters,2017,126:179-184 [20]Hui Jiang,Shimin Li,Shaochen Wang.Deviation inequalities, moderate deviation principles for certain Gaussian functionals, and their applications in parameter estimation.Stochastic Analysis and Applications,2017,35:615-632

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