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个人简介

受教育经历 2004/09 –2010/01,大连理工大学, 数学科学学院, 博士 2007/11 –2008/11,特拉华大学(美国), 应用数学系, 联合培养博士 2000/09 –2004/06,大连理工大学, 数学科学学院, 学士 研究工作经历 2018/12 – 至今, 大连理工大学, 数学科学学院, 教 授 博士生导师 2016/07 – 2018/12, 大连理工大学, 数学科学学院, 副教授 博士生导师 2016/06 – 2016/12, 香港中文大学, 统计系, Research Associate 2013/12 – 2016/06, 大连理工大学, 数学科学学院, 副教授 硕士生导师 2012/05 – 2012/07, 南洋理工大学(新加坡),数理学院, 访问学者 2011/12 – 2013/12, 大连理工大学, 数学科学学院, 讲师 硕士生导师 2010/02 – 2011/12, 大连理工大学, 计算机科学与技术流动站, 博士后 教学工作经历: 近五年分别多次承担“测度与概率”、“随机过程引论”、“概率论与数理统计”等本科生授课任务;“高等概率论”、“随机过程”、“现代精算风险理论”等研究生授课任务。 工作成果(奖励、专利等) 论文获奖: [1] 鲁大伟,多维高斯概率的渐近估计,辽宁省自然科学学术成果奖,学术论文类。二等奖2010。 [2] 鲁大伟,宋立新,布朗运动在极大极小随机椭球上首出时的研究,辽宁省自然科学学术成果奖,学术论文类。三等奖, 2012。 [3] 鲁大伟,Beta分布的估计,辽宁省自然科学学术成果奖,学术论文类。三等奖。2013。 [4] 鲁大伟,Gamma分布函数的研究,大连市自然科学优秀学术论文。三等奖,2013。 [5] 鲁大伟,王晓光,伽玛函数的渐近表示,辽宁省自然科学学术成果奖,学术论文类。三等奖。2014。 [6] 鲁大伟,欧拉常数的更快收敛序列,大连市自然科学优秀学术论文。三等奖,2015。 [7] 鲁大伟,Some new convergent sequences and inequalities of Euler's constant,辽宁省自然科学学术成果奖。二等奖,2016。 [8] 鲁大伟,基于Nemes, Ramanujan,Burnside公式的一种新的快速渐近伽马函数的方法,大连市自然科学优秀学术论文。三等奖,2017。 [9] 鲁大伟,Certain approximations to achieve sharp lower and upper bounds for the Mills’ ratio of the inverse Gaussian distribution,辽宁省自然科学学术成果奖。三等奖,2017。 [10] 鲁大伟,A quicker continued fraction approximationof the gamma function related to the Windschitl’s formula,辽宁省自然科学学术成果奖。三等奖,2018。 指导本科生获奖情况: [1] 马从旭,Gamma函数渐近估计的若干研究,2014年度本科生毕业设计(论文)校优秀论文。 [2] 余 洋,Euler 常数的多个连分数逼近公式,2015年度本科生毕业设计(论文)校优秀论文。 [3] 刘松昊,Glaisher-Kinkelin 常数和 Bendersky-Adamchik 常数渐近估计的若干研究,2015年度本科生毕业设计(论文)校优秀论文。 [4] 徐慧媛,Gamma函数最新相关逼近公式的研究,2016年度本科生毕业设计(论文)校优秀论文。 [5] 张佩璇,Minc-Sathre商式的相关逼近与不等式,2017年度本科生毕业设计(论文)校优秀论文。 [6] 房思宇,一些特殊函数的逼近,2018年度本科生毕业设计(论文)校优秀论文。 [7] 温子璇,一些特殊函数及数学常数的逼近,2019年度本科生毕业设计(论文)校优秀论文。

研究领域

1. 概率极限理论;布朗运动首出时的渐近理论. 2. 随机变量和的精细大偏差、保险精算中的破产概率理论. 3. 随机相依度量. 4. Mills’率; Gamma 率; Beta 率的研究. 5. 伽马函数,欧拉常数等数学常数的渐近估计.

近期论文

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鲁大伟.Some improved tail bounds for the sum of variables with geometric distribution[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2021,49(22):5427-5435 Zhang, Lingyue.Measuring and testing interdependence among random vectors based on Spearman's rho and Kendall's t[J],COMPUTATIONAL STATISTICS,2021,35(4):1685-1713 鲁大伟.Complete convergence and complete moment convergence for maximal randomly weighted sums of widely [J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2021,50(4):763-791 Lu, Dawei,Xu, Huiyuan,Niu, Yi.A new general asymptotic formula for the Mills' ratio of the skew-generalized normal distribution[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2019,480(1) Lu, Dawei,Wang, Xiaoguang,Xu, Ruiqing.Some New Exponential-Function Estimates of the Somos' Quadratic Recurrence Constant[J],RESULTS IN MATHEMATICS,2019,74(1) 鲁大伟,王晓光.Some New Exponential-Function Estimates of the Somos' Quadratic Recurrence Constant[J],RESULTS IN MATHEMATICS,2019,74(1):1-20 Wang, Hongzeng,Zhang, Qingling,Lu, Dawei.A quicker approximation of the gamma function towards the Windschitl's formula by continued fracti[J],RAMANUJAN JOURNAL,2019,48(1):75-90 Feng, Jinghai,Lu, Dawei,Wen, Zixuan.Some New Sequences and Inequalities Related to Euler's Constant[J],RESULTS IN MATHEMATICS,2018,73(4) Fang, Siyu,Lai, Li,Lu, Dawei,Wang, Xiaoguang.On Some Convergence to the Constant and Proof of Keller's Limit[J],RESULTS IN MATHEMATICS,2018,73(2) Lu, Dawei,Wang, Xiaoguang,Song, Lixin,Xu, Huiyuan.A new continued fraction approximation and inequalities for the Gamma function via the Tri-gamma f[J],RAMANUJAN JOURNAL,2018,46(1):119-125 Hu, Xiaoyun,Lu, Dawei,Wang, Xiaoguang.New Quicker Sequences and Inequalities with Continued Fraction Towards Euler's Constant[J],RESULTS IN MATHEMATICS,2018,73(1) Lu, Dawei,Song, Lixin,Tang, Guangqing.Some New Approximations and Proofs for Mills' Ratio[J],RESULTS IN MATHEMATICS,2018,73(1) Lu, Dawei,Song, Lixin,Wang, Xiaoguang,Wang, Junying.New Asymptotic Formulas and Inequalities for the Gamma Function Based on Continued Fractions[J],RESULTS IN MATHEMATICS,2018,73(1) 王晓光,鲁大伟,冯敬海.R 语言与统计软件课程的教学模式探索[J],教育与教学研究论文集,2018,31(31):8-10 鲁大伟,沈新美,王晓光.高校本科生保险精算课程教学改革的思考[J],教育与教学研究论文集,2018,31(31):24-27 Wang, Xiaoguang,Lu, Dawei,Song, Lixin.Robust image segmentation via Bayesian type criterion[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2018,47(17):4215-4228 Lu, Dawei,Zhang, Lingyue,Wang, Xiaoguang,Song, Lixin.Some new measures of dependence for random variables based on Spearman's and Kendall's[J],JOURNAL OF NONPARAMETRIC STATISTICS,2018,30(4):860-883 Lu, Dawei,Song, Lixin,Li, Henan.Precise large deviations for sums of WUOD and phi-mixing random variables with dominated variation[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2018,47(19):4791-4807 Lu, Dawei,Wang, Xiaoguang,Wei, Jie.Continued Fractions and Inequalities About (1+1/x)(x)[J],RESULTS IN MATHEMATICS,2017,72(4):2241-2252 Lu, Dawei,Qu, Tianyi,Wang, Xiaoguang.A Kind of New Continued Fraction Approximation of Gamma Function Based on Mortici's Formula[J],RESULTS IN MATHEMATICS,2017,72(3):1417-1436 Lu, Dawei,Song, Lixin,Wang, Junying.Some Asymptotic Formulas and Inequalities About Gamma and Psi Functions Based on Continued Fractio[J],RESULTS IN MATHEMATICS,2017,72(1-2):225-238 Lu, Dawei,Song, Lixin,Xu, Qinxin.New Continued Fraction Expansions and Inequalities for n! into Negative Powers of a Triangular Num[J],RESULTS IN MATHEMATICS,2017,72(1-2):765-786 Lu, Dawei,Qi, Xiaomeng.Precise large deviations for phi-mixing and UND random variables with long-tailed distributions[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2017,46(11):5443-5452 Lu, Dawei,Yu, Yang,Song, Lixin.Some quicker continued fraction approximations and inequalities towards Euler's constant[J],JOURNAL OF NUMBER THEORY,2017,175:100-116 Liu, Songhao,Lu, Dawei.Improved Convergence Towards Glaisher-Kinkelin's and Bendersky-Adamchik's Constants[J],RESULTS IN MATHEMATICS,2017,71(3-4):731-747 Lu, Dawei,Song, Lixin,Liu, Zhen.Some new approximations and inequalities of the sequence (1+1/n)(n) and improvements of Carleman's[J],RAMANUJAN JOURNAL,2017,43(1):69-82 Song, Lixin,Hua, Zhiqiang,Lu, Dawei,Qi, Xiaomeng.Precise large deviations for the difference of two sums of WUOD and non identically distributed ra[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2017,46(4):2013-2028 Lu, Dawei,Liu, Xinyu,Qu, Tianyi.Continued fraction approximations and inequalities for the gamma function by Burnside[J],RAMANUJAN JOURNAL,2017,42(2):491-500 Liu, Xiulong,Xie, Xin,Li, Keqiu,Xiao, Bin,Wu, Jie,Qi, Heng,Lu, Dawei.Fast Tracking the Population of Key Tags in Large-Scale Anonymous RFID Systems[J],IEEE-ACM TRANSACTIONS ON NETWORKING,2017,25(1):278-291 Hua, Zhiqiang,Song, Lixin,Lu, Dawei,Qi, Xiaomeng.Precise large deviations for the difference of two sums of END random variables with heavy tails[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2017,46(2):736-746 鲁大伟.Some new convergent sequences of Glaisher-Kinkelins and Bendersky-Adamchiks constants[J],Results in Mathematics,2017,71(1):225-240 鲁大伟,宋立新.Some quicker continued fraction approximations and inequalities towards Eulers constant[J],Journal of Number Theory,2017,170:100-116 鲁大伟,沈新美,宋立新.本科随机过程教学内容的关系[J],教育与教学研究论文集,2017,30(30):21-22 Lu, Dawei,Zhang, Peixuan.A new general asymptotic formula and inequalities involving the volume of the unit ball[J],JOURNAL OF NUMBER THEORY,2017,170:302-314 Lu, Dawei.Certain approximations to achieve sharp lower and upper bounds for the Mills' ratio of the inverse[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016,444(1):737-744 Lu, Dawei.Some asymptotic formulas of a Brownian motion with regular variation from the maximum and minimum [J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2016,45(22):6569-6595 Liu, Xinyu,Lu, Dawei,Song, Lixin.Some Quicker Approximations and Inequalities of the Wallis Ratio by Continued Fraction[J],RESULTS IN MATHEMATICS,2016,70(3-4):325-335 Lu, Dawei,Song, Lixin,Ma, Congxu.A quicker continued fraction approximation of the gamma function related to the Windschitl's formu[J],NUMERICAL ALGORITHMS,2016,72(4):865-874 Lu, Dawei,Zhang, Bin.Some asymptotic results of the ruin probabilities in a two-dimensional renewal risk model with som[J],STATISTICS & PROBABILITY LETTERS,2016,114:20-29 Lu, Dawei,Mortici, Cristinel,Song, Lixin.Some new approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants by continued fra[J],JOURNAL OF NUMBER THEORY,2016,163:434-448 Lu, Dawei,Song, Lixin,Zhang, Tao.Large deviations for sum of UEND and phi-mixing random variables with heavy tails[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2016,45(7):2118-2129 Lu, Dawei.A note on the estimates of multivariate Gaussian probability[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2016,45(5):1459-1465 Lu, Dawei,Song, Lixin,Wang, Xiaohu.Precise large deviation for the difference of two sums of random variables[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2016,45(2):291-306 鲁大伟,沈新美,宋立新.本科概率统计教学内容与教学方法的探讨[J],教育与教学研究论文集,2016,29(29):32-34 Lu, Dawei,Ma, Congxu.Some new quicker continued fraction approximations for the gamma function related to the Nemes' fo[J],NUMERICAL ALGORITHMS,2015,70(4):825-833 Lu, Dawei,Song, Zexi.Some new continued fraction estimates of the Somos' quadratic recurrence constant[J],JOURNAL OF NUMBER THEORY,2015,155:36-45 Lu, Dawei.Some Asymptotic Formulas for a Brownian Motion From the Maximum and Minimum Complicated Domains[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2015,44(15):3192-3217 Lu, Dawei,Song, Lixin,Yu, Yang.New sequences with continued fraction towards Euler's constant[J],APPLIED MATHEMATICS AND COMPUTATION,2015,259:12-20 Lu, Dawei,Song, Lixin.Some Asymptotic Formulas for a Brownian Motion With a Regular Variation From a Parabolic Domain[J],COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2015,44(9):1763-1778 Lu, Dawei,Song, Lixin,Ma, Congxu.Some new asymptotic approximations of the gamma function based on Nemes' formula, Ramanujan's form[J],APPLIED MATHEMATICS AND COMPUTATION,2015,253:1-7 Lu, Dawei,Song, Lixin,Yu, Yang.Some new continued fraction approximation of Euler's constant[J],JOURNAL OF NUMBER THEORY,2015,147:69-80 鲁大伟,宋立新.New sequences with continued fraction towards Eulers constant[J],APPLIED MATHEMATICS AND COMPUTATION,2015,259(1):12-20 鲁大伟,宋立新.Some new asymptotic approximations of the gamma function based on Nemes formula, Ramanujans formula [J],APPLIED MATHEMATICS AND COMPUTATION,2015,253(1):1-7 鲁大伟,宋立新.Some new continued fraction approximation of Eulers constant[J],JOURNAL OF NUMBER THEORY,2015,147(1):69-80 鲁大伟,冯敬海,宋立新.通过导数的推广深刻理解牛顿-莱布尼茨公[J],教育与教学研究论文集,2015,28(28):217-219 Lu, Dawei,Feng, Jinghai,Ma, Cong-Xu.A general asymptotic formula of the gamma function based on the Burnside's formula[J],JOURNAL OF NUMBER THEORY,2014,145:317-328 Lu, Dawei,Mortici, Cristinel.Some new quicker approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants[J],JOURNAL OF NUMBER THEORY,2014,144:340-352 Lu, Dawei.Some new convergent sequences and inequalities of Euler's constant[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2014,419(1):541-552 Lu, Dawei.A new sharp approximation for the Gamma function related to Burnside's formula[J],RAMANUJAN JOURNAL,2014,35(1):121-129 Lu, Dawei.Some new improved classes of convergence towards Euler's constant[J],APPLIED MATHEMATICS AND COMPUTATION,2014,243:24-32

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