鲁大伟
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大连理工大学,数学科学学院,教授, 博士生导师
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。
社会兼职
2015 - Present 国家自然科学基金同行评议专家
2009 - Present Member, Institute of Mathematical Statistics (IMS)
2015 - Present, 美国数学评论(Mathematical Reviews)特邀评论员
2017 - Present, Journal of Science and Arts咨询委员会成员
2023.04-2027.04, 中国现场统计研究会教育统计与管理分会理事
2023.08-2027.08, 中国现场统计研究会统计交叉科学研究分会理事
(如下国际杂志审稿人):
1, Journal of Computational and Applied Mathematics;
2, Abstract and Applied Analysis;
3, Applied Mathematics and Computation;
4, Journal of Inequalities and Applications;
5, Journal of Number Theory;
6, Stochastics: An International Journal Of Probability And Stochastic Processes;
7, Integral Transforms And Special Functions;
8, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
9, Filomat;
(如下国内杂志审稿人):
1, 数学进展 Advances In Mathematics(CHINA),北京大学数学科学学院;
2, 应用概率统计 Chinese Journal of Applied Probability and Statistics,华东师范大学金融与统计学院;
3, 应用数学 Mathematica Applicata,华中科技大学;
研究领域(研究课题)
1. 概率极限理论、概率不等式理论、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.
承担、参与国家自然科学基金项目:
1, 负责人:鲁大伟
项目名称:布朗运动在多种随机区域上首出时的若干研究(青年项目)
起止年月:2012/01—2014/12
2, 第一参与人:鲁大伟
项目名称:基于copula的随机向量间的相依性(面上项目)
起止年月:2014/01—2017/12
3, 负责人:鲁大伟
项目名称:可变、随机维数下布朗运动出逃概率的渐近估计(面上项目)
起止年月:2016/01—2019/12
4, 负责人:鲁大伟
项目名称:对称稳定过程首出时概率的渐近估计(面上项目)
起止年月:2024/01—2027/12
承担、参与社会企业产学研项目:
1,负责人:鲁大伟 项目名称:行为金融学与概率统计学的交叉研究 起止年月:2019/10—2020/10
2,参与人:鲁大伟 项目名称:机器学习算法在投资策略中的应用 起止年月:2021/03—2022/03
3,负责人:鲁大伟 项目名称:润滑油价格及需求量预测模型开发 起止年月:2021/06—2021/12
4,负责人:鲁大伟 项目名称:量化投资策略相关研究 起止年月:2021/10—2022/10
5,参与人:鲁大伟 项目名称:捷顺科技数据量化分析 起止年月:2022/03—2023/03
6, 负责人:鲁大伟 项目名称:量化投资策略相关研究Ⅱ 起止年月:2022/09—2023/09
7, 负责人:鲁大伟 项目名称:视控慧4s店大数据智能分析 起止年月:2023/04—2023/12
8, 负责人:鲁大伟 项目名称:捷顺科技数据量化分析二期 起止年月:2023/10—2024/09
9,负责人:鲁大伟 项目名称:APS排产系统大数据分析及算法优化 起止年月:2024/04—2024/12
指导硕博研究方向
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、破产概率理论.
3. 随机相依度量.
4. Mills’ 率; Gamma 率; Beta 率的研究.
毕业生去向
已毕业概率论与数理统计、金融数学与保险精算、应用统计专业硕士研究生毕业后方向:
海外读博(如美国马里兰州立大学、英国南安普顿大学、香港中文大学);
银行(如建设银行、中国人民银行、招商银行、民生银行、工商银行、大连银行);
证券(如兴业、齐鲁证券等);
保险公司(如人寿、太平洋、阳光、中意)等。
京东,阿里,华为,腾讯等数据分析部门。
欢迎有志于概率论、保险精算、金融数学、应用统计研究的优秀本科生报考硕士、博士研究生,加入我的团队!
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。
[8] 王一伊,基于多项式方法的一类特殊函数的快速逼近,2020年度本科生毕业设计(论文)校优秀论文。
[9] 任志远,次高斯随机变量的相关不等式,2021年度本科生毕业设计(论文)校优秀论文。
[10] 王若伊,拉马努金展开式的系数优化,2022年度本科生毕业设计(论文)校优秀论文。
[11] 吴嘉雅,排序集抽样在概率核估计中的应用,2023年度本科生毕业设计(论文)校优秀论文。
[12] 刘汇林,更新过程在二阶矩条件下的非一致Berry-Esseen界,2024年度本科生毕业设计(论文)校优秀论文。
指导硕士生获奖情况:
[1] 马从旭, 2016年度大连理工大学优秀硕士学位论文。
[2] 齐晓梦, 2016年度大连理工大学优秀硕士学位论文。
[3] 陈晓燕, 2020年度大连理工大学优秀硕士学位论文。
[4] 孟 垚, 2021年度大连理工大学优秀硕士学位论文。
[5] 吕煌顶, 2023年度大连理工大学优秀硕士学位论文。
指导学生比赛获奖
1,2023年第九届全国大学生统计建模大赛国赛一等奖(研究生组)。
2,2023年第六届全国应用统计专业学位研究生案例大赛一等奖。
出版著作和论文
Publication (SCI 检索) *为通讯作者 截止目前发表论文被他引299次(除去自引,他引212次),Web of Science 高引论文12篇,ESI高被引论文5篇。
The First Exit Time
[10], Y. Zhou and D. Lu*. The first exit time of fractional Brownian motion with a drift from a parabolic domain. Methodology and Computing in Applied Probability. Article:3 26(1)1-19 (2024) (SCI)
[9], D. Lu* and Y. Zhou, The first exit time of fractional Brownian motion from the minimum and maximum parabolic domains. Statistics & Probability Letter. 186C 109467 (2022) (SCI)
[8], D. Lu*. Some asymptotic formulas of a Brownian motion with regular variation from the maximum and minimum complicated domains. Communications in Statistics - Theory and Methods. 45(22), 6569-6595 (2016)
[7], D. Lu*. Some asymptotic formulas for a Brownian motion from the maximum and minimum complicated domains. Communications in Statistics - Theory and Methods. 44(15), 3192-3217. (2015)[6], D. Lu and L. Song*. Some asymptotic formulas for a Brownian motion with a regular variation from a parabolic domain. Communications in Statistics - Theory and Methods. 44(9), 1763-1778. (2015)
[5], D. Lu*. Some Asymptotic Formulas for a Brownian Motion from The Maximum and Minimum Domains with Regular Varying Boundary. Communications in Statistics - Theory and Methods. 43(18), 3848-3865. (2014)
[4], L. Song and W. Che and D. Lu*. The exit probabilities of Brownian motion with variable dimension applying to the control of population growth. International Journal of Biomathematics. 6(5) 1–12. (2013)[3], D. Lu* and L. Song, The asymptotic behavior of a Brownian motion with a drift from a random domain. Communications in Statistics - Theory and Methods. 41(1), 62-75. (2012)
[2], D. Lu* and L. Song, The First Exit Time of a Brownian Motion from The Minimum and Maximum Parabolic Domains. Journal of Theoretical Probability. 24 (4) 1028-1043. (2011)
[1], L. Song, D. Lu* and J. Feng, The first exit time for a Bessel process from the minimum and maximum random domains. Statistics & Probability Letter. 79 (20) 2115-2123. (2009).
Probability Inequality
[13], D.Lu* and Y. Wang. A note on the expectation of zeros of random harmonic polynomials: The kac model. Proceedings of the American Mathematical Society. Accepted (2024) (SCI)
[12], D.Lu* and X.Liu and Y. Wang. Tail bounds for weighted sums of independent Poisson random variables. Communications in Statistics – Theory and Methods. Accepted (2024) (SCI)
[11], D. Lu* and Q. Liu. Some new Hardy inequalities in probability. FILOMAT. 37(21) 7311-7318 (2023)[10], D. Lu* and Y. Wang and J. Li. On sequential maxima of geometric sample means, with extension to the ruin probability. FILOMAT. 36(17) 5857-5874 (2022)
[9], D. Lu* and Q. Liu and X. Shen. Some improved tail bounds for the sum of variables with geometric distribution. Communications in Statistics – Theory and Methods. 49(22), 5427-5435 (2020)
[8], D. Lu* and H. Xu and Y. Niu. A new general asymptotic formula for the Mills' ratio of the skew-generalized normal distribution. Journal of Mathematical Analysis and Applications. 48(01), 123378 (2019)
[7], D. Lu and L. Song* and G. Tang. Some new approximations and proofs for Mills’ ratio. Results in Mathematics. 73(1), UNSP 27 (2018)
[6], D. Lu*. Certain approximations to achieve sharp lower and upper bounds for the Mills' ratio of the inverse Gaussian distribution. Journal of Mathematical Analysis and Applications. 444, 737-744 (2016)[5], D. Lu*. A note on the estimates of multivariate Gaussian probability. Communications in Statistics - Theory and Methods. 45(5), 1459-1465 (2016)
[4], D. Lu* and X. Wang, Some new normal comparison inequalities related to Gordon's inequality. Statistics & Probability Letter. 88, 133-140. (2014).
[3], D. Lu* and J. Feng and X. Liang. A note on the estimate of the beta distribution. Mathematical Inequalities & Applications. 15 (4) 859–870. (2012)
[2], D. Lu* and L.Song and Y. Wang. A note on the estimate of Gamma distribution. Mathematical Inequalities & Applications. 15 (1) 217–227. (2012)
[1], D. Lu* and W.V. Li, A Note on Multivariate Gaussian Estimates. Journal of Mathematical Analysis and Applications. 354 704-707. (2009).
Precise Large Deviation
[26], D. Lu* and T. Li and M. Yuan and X. Shen. Asymptotic Finite-Time Ruin Probabilities for a Multidimensional Risk Model with Subexponential. Methodology and Computing in Applied Probability. Accepted (2024) (SCI)
[25], Y.Sun and M. Yuan and D.Lu*. Asymptotic estimates for ruin probabilities in a bidimensional delay-claim risk model with subexponential claims.Communications in Statistics – Theory and Methods. Accepted (2024) (SCI)
[24], D.Lu* and X. Cai. Precise large deviations for sums of dependent random variables with subexponential distribution. Communications in Statistics – Theory and Methods. Accepted (2024) (SCI)
[23], X.Shen and Y. Meng* and D.Lu. Uniform asymptotics for ruin probabilities of multidimensional risk models with stochastic returns and regular variation claims. Communications in Statistics – Theory and Methods. 52(19) 6878-6895 (2023) (SCI)
[22],Y. Meng and D.Lu*. Asymptotics for a time-dependent by-claim model with dependent subexponential claims. Insurance Mathematics and Economics. 112C. 120-141 (2023) (SCI)
[21], D. Lu* and Y. Meng. Complete and complete integral convergence for weighted sums of arrays of rowwise widely negative dependent random variables under the sub-linear expectations. Communications in Statistics –Theory and Methods. 52(04) 1273-1286 (2023) (SCI)
[20], D. Lu* and M. Yuan. Asymptotic finite-time ruin probabilities for a bidimensional delay-claim risk model with subexponential claims. Methodology and Computing in Applied Probability. 24(04) 2265-2286 (2022) (SCI)
[19], D. Lu* and Y. Meng. Complete and complete integral convergence for arrays of rowwise widely negative dependent random variables under the sub-linear expectations. Communications in Statistics – Theory and Methods. 51(09) 2994-3007 (2022) (SCI)
[18], M. Yuan and D. Lu*. Precise large deviation for sums of sub-exponential claims with the m-dependent semi-Markov type structure Statistics & Probability Letters. 185C 109440 (2022) (SCI)
[17], D. Lu* and L. Wang. Complete Moment Convergence for the Widely Orthant Dependent Linear Processes with Random Coefficients. Communications in Statistics – Theory and Methods. 51(03) 811-825 (2022) (SCI)
[16], D. Lu* and J. Cong and Y. Yang. Complete and complete moment convergence for arrays of rowwise asymptotically almost negatively associated random variables under the sub-linear expectations. FILOMAT. 35(02) 633-644 (2021)
[15], D. Lu* and J. Wang. Complete convergence and complete moment convergence for maximal randomly weighted sums of widely orthant dependent random variables with applications. Communications in Statistics – Theory and Methods. 50(04) 763-791 (2021) (SCI)
[14], X. Shen* and M. Yuan and D. Lu. Ruin Problems of multidimensional risk models under constant interest rates and dependent risks with heavy tails. Mathematical Problems in Engineering, ID 9489612 (2020).
[13], D. Lu* and X.Chen and J. Feng. Moderate deviations for the random weighted sums of WUOD random variables with consistently varying tails. Communications in Statistics – Theory and Methods. 49(03), 531-551 (2020)
[12], D. Lu* and J. Du and H. Song. Some asymptotic results of the ruin probabilities in a bidimensional renewal risk model with Brownian perturbation. FILOMAT. 33(10), (2019)
[11], D. Lu and L. Song* and F. Li. Uniform asymptotics for discounted aggregate claims in dependent multi-risk models. Communications in Statistics –Theory and Methods. 48(04), 781-793 (2019)
[10], D. Lu* and L. Song and H. Li. Precise large deviations for sums of WUOD and Φ-mixing random variables with dominated variation. Communications in Statistics – Theory and Methods. 47(19), 4791-4807 (2018)
[9], D. Lu* and X. Qi. Precise large deviations for $\phi$-mixing and UND random variables with long-tailed distributions. Communications in Statistics - Theory and Methods. 46(11), 5443-5452 (2017)
[8], L. Song and Z. Huang and D. Lu* and X. Qi. Precise large deviations for the difference of two sums of WUOD and non-identically distributed random variables with dominatedly varying tails. Communications in Statistics - Theory and Methods. 46(4), 2013-2028 (2017)
[7], Z. Hua and L. Song and D. Lu* and X. Qi. Precise large deviations for the difference of two sums of END random variables with heavy tails.Communications in Statistics - Theory and Methods. 46(2), 736-746 (2017)
[6], D. Lu* and B. Zhang. Some asymptotic results of the ruin probabilities in a two dimensional renewal risk model with some strongly subexponential claims. Statistics & Probability Letter. 114, 20-29 (2016)
[5], D. Lu* and L. Song and T .Zhang. Large deviations for sum of UEND and $\phi$-mixing random variables with heavy tails. Communications in Statistics - Theory and Methods. 45(7), 2118-2129 (2016)[4], D. Lu* and L. Song and X. Wang. Precise large deviation for the difference of two sums of random variables. Communications in Statistics - Theory and Methods. 45(2), 291-306 (2016)
[3], D. Lu* and L. Song and Y. Xu. Precise large deviations for sums of independent random variables with consistently varying tails. Communications in Statistics – Theory and Methods. 43(1), 28-43. (2014)[2], D. Lu*. Lower bounds of large deviation for sums of long-tailed claims in a multi-risk model. Statistics & Probability Letter,82 (7) 1242-1250. (2012).
[1], D. Lu*, Lower and upper bounds of large deviation for sums of subexponential claims in multi-risk model. Statistics & Probability Letter. 81 (12) 1911-1919. (2011).
Berry-Essen
[5], Jingcai Yang and Dawei Lu*. A General Solution of the Type I McKay Distribution's Stein EquationJournal of Mathematical Research with Applications. 43(5) 607-618 (2023) (SCI)
[4], L. Wang and D. Lu*. Application of Bernstein polynomials on estimating a distribution and density function in a triangular array. Methodology and Computing in Applied Probability. 25(2) Article:56 (2023) (SCI)
[3], D. Lu* and J. Yang. Identifying the distribution of linear combinations of gamma random variables via Stein's method. Communications in Statistics – Theory and Methods. 52(07) 2116-2123 (2023) (SCI)
[2], L. Wang and D. Lu*. On the rates of asymptotic normality for Bernstein density estimators in a triangular array. Journal of Mathematical Analysis and Applications. 511(01) 126063 (2022) (SCI)
[1],D. Lu* and L. Wang. On the rates of asymptotic normality for Bernstein polynomial estimators in a triangular array. Methodology and Computing in Applied Probability. 23(04) 1519-1536 (2021) (SCI)
Stochastic Process
[2],B.Duan and Yutian Li and Dawei Lu and Yang Lu and Ran Zhang. Pricing Stocks with Trading Volumes. CSIAM Transactions on Applied Mathematics. 5(01) 1-17 (2024) (SCI)
[1], D. Lu* and H. Lv, A Galton-Watson process with a threshold at 1 and an immigration at 0. Statistics & Probability Letter. 201 109881 (2023) (SCI)
Statistics
[8], L. Zhang and D. Lu and H. Cui. Tail Dependence Matrices and Tests based on Spearman's \rho and Kendall's \tau. Acta Mathematica Sinica, English Series Accpted (2023) (SCI)
[7],D. Lu*and L. Wang and J. Yang. The stochastic convergence of Bernstein polynomial estimators in a triangular array. Journal of Nonparametric Statistics. 34(04) 987-1014 (2022) (SCI)
[6], L. Zhang and D. Lu* and X. Wang. The essential dependence for a group of random vectors. Communications in Statistics – Theory and Methods. 50(24) 5810-5846 (2021) (SCI)
[5], L. Zhang and D. Lu* and X. Wang. Measuring and testing interdependence among random vectors based on Spearman's $\rho$ and Kendall's $\tau$. Computational Statistics. 35(4), 1685-1713 (2020)[4], D. Lu and L. Zhang and X. Wang and L. Song*. Some new measures of dependence for random variables based on Spearman’s ρ and Kendall’s τ. Journal of Nonparametric Statistics. 30(04), 860-883 (2018)
[3], X. Wang* and D. Lu and L. Song. Robust image segmentation via Bayesian type criterion. Communications in Statistics - Theory and Methods. 47(17), 4215-4228 (2018)
[2], L. Song and D. Lu* and F. Liu. Using convex combination of copulas and EM algorithm for credibility. Communications in Statistics - Theory and Methods. 43(6), 1222-1233. (2014)
[1], X. Wang* and D. Lu and L. Song. Statistical Inference for Partially Linear Stochastic Models with Heteroscedastic Errors. Computational Statistics and Data Analysis. 66 150-160. (2013).
Gamma Function
[23], D.Lu* and R. Wang. Optimizing the coefficients of the Ramanujanexpansion. Journal of Number
Theory. 257,146-162. (2024)
[22], H. Wang and Q. Zhang* and D. Lu. A quicker approximation of the gamma function towards the Windschitl’s formula by continued fraction. The Ramanujan Journal. The Ramanujan Journal. 48(1),75-90 (2019)
[21], S. Fang and L. Lai and D. Lu* and X. Wang. On some convergence to the constant $e$ and proof of Keller's limit. Results in Mathematics. 73(2), UNSP 69 (2018)
[20], D. Lu and X. Wang and L. Song* and H. Xu. A new continued fraction approximation and inequalities for the Gamma function via the Tri-gamma function. The Ramanujan Journal. 46(1),119-125 (2018)
[19], D. Lu and L. Song* and X. Wang and J. Wang. New asymptotic formulas and inequalities for the gamma function based on continued fractions. Results in Mathematics. 73(1), UNSP 37 (2018)
[18], D. Lu* and X. Wang and J. Wei. Continued fractions and inequalities about $\left(1+\frac{1}{x}\right)^x$. Results in Mathematics. 72(4),2241-2252 (2017)
[17], D. Lu* and T. Qu and X. Wang. A kind of new continued fraction approximation of Gamma function based on Mortici’s formula. Results in Mathematics. 72(3) , 1417-1436 (2017)
[16], D. Lu and L. Song* and Q. Xu. New continued fraction expansions and inequalities for $n!$ into negative powers of a triangular number. Results in Mathematics. 72(1-2), 765-786 (2017)
[15], D. Lu and L. Song* and J. Wang. Some asymptotic formulas and inequalities about gamma and psi functions based on continued fractions. Results in Mathematics. 72(1-2), 225-238 (2017)
[14], D. Lu and L. Song* and Z. Liu. Some new approximations and inequalities of the sequence (1 + 1/n)^n and improvements of the Carlemans’ inequality. The Ramanujan Journal. 43(1), 69-82 (2017)[13], D. Lu* and X. Liu and T. Qu. Continued fraction approximations and inequalities for the gamma function by Burnside. The Ramanujan Journal. 42,491-500. (2017)
[12], X. Liu and D. Lu and L. Song*. Some quicker approximations and inequalities of the Wallis ratio by continued fraction. Results in Mathematics. 70(3), 325-335 (2016)
[11], D. Lu* and P. Zhang. A new general asymptotic formula and inequalities involving the volume of the unit ball. Journal of Number Theory. 170,302-314. (2017)
[10], D. Lu and L. Song* and C. Ma. A quicker continued fraction approximation of the gamma function related to the Windschitl's formula. Numerical Algorithms. 72:865–874 (2016)
[9], D. Lu* and C. Ma. Some new quicker continued fraction approximations for the gamma function related to the Nemes’ formula. Numerical Algorithms. 70(4), 825-833. (2015)
[8], D. Lu and L. Song* and C. Ma. Some new asymptotic approximations of the gamma function based on Nemes' formula, Ramanujan's formula and Burnside's formula. Applied Mathematics and Computation. 253,1-7. (2015)
[7], D. Lu*. A new sharp approximation for the Gamma function related to the Burnside's formula. The Ramanujan Journal. 35 (1),121-129. (2014)
[6], D. Lu* and J. Feng and C. Ma. A general asymptotic formula of the gamma function based on the Burnside's formula. Journal of Number Theory. 145, 317-328. (2014)
[5], C. Mortici*. V. G. Cristea. D. Lu. Completely monotonic functions and inequalities associated to some ratio of gamma function. Applied Mathematics and Computation. 240, 168-174. (2014)
[4], D. Lu* and X. Wang. A new asymptotic expansion and some inequalities for the Gamma function. Journal of Number Theory. 140, 314-323. (2014)
[3], D. Lu* and L. Song and C. Ma. A generated approximation of the gamma function related to Windschitl's formula. Journal of Number Theory. 140, 215-225. (2014)
[2], D. Lu*. A generated approximation related to the Burnside's formula. Journal of Number Theory. 136, 414-422. (2014)
[1], D. Lu* and X. Wang. A Generated approximation related to the Gosper's formula and the Ramanujan's formula. Journal of Mathematical Analysis and Applications. 406 287-292. (2013)
Euler’s Constant
[9], J. Feng and D. Lu* and Z. Wen. Some new sequences and inequalities related to Euler's constant. Results in Mathematics. 73(4), UNSP 158 (2018)
[8], X. Hu and D. Lu and X. Wang*. New quicker sequences and inequalities with continued fraction towards Euler's constant. Results in Mathematics. 73(1), UNSP 28 (2018)
[7], D. Lu and L. Song* and Y. Yu. Some quicker continued fraction approximations and inequalities towards Euler's constant. Journal of Number Theory. 175,100-116. (2017)
[6], D. Lu* and L. Song and Y. Yu. New sequences with continued fraction towards Euler's constant. Applied Mathematics and Computation. 259,12-20. (2015)
[5], D. Lu* and L. Song and Y. Yu. Some new continued fraction approximation of Euler's constant. Journal of Number Theory. 147,69-80. (2015)
[4], D. Lu*. Some new improved classes of convergence towards Euler's constant. Applied Mathematics and Computation. 243, 24-32. (2014)
[3], D. Lu*. Some new convergent sequences and inequalities of Euler's constant. Journal of Mathematical Analysis and Applications 419 (1), 541-552. (2014)
[2], D. Lu*. Some quicker classes of sequences convergent to Euler's constant. Applied Mathematics and Computation. 232, 172-177. (2014)
[1], D. Lu*. A new quicker sequence convergent to Euler's constant. Journal of Number Theory. 136, 320-329. (2014)
G-K Constant
[4], S. Liu and D. Lu*. Improved convergence towards Glaisher-Kinkelin's and Bendersky-Adamchik's constants. Results in Mathematics. 71(3), 731-747 (2017)
[3], D. Lu* and S. Liu. Some new convergent sequences of Glaisher-Kinkelin's and Bendersky-Adamchik's constants. Results in Mathematics. 71(1), 225-240 (2017)
[2], D. Lu and C. Mortici and L. Song*. Some new approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants by continued fraction. Journal of Number Theory. 163,434-448. (2016)
[1], D. Lu* and C. Mortici. Some new quicker approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants. Journal of Number Theory. 144, 340-352. (2014)
Somos' Constant
[2], D. Lu and X. Wang* and R. Xu. Some new exponential-function estimates of the Somos' quadratic recurrence constant. Results in Mathematics. 74(1), UNSP 6 (2019)
[1], D. Lu* and Z. Song. Some new continued fraction estimates of the Somos' quadratic recurrence constant. Journal of Number Theory. 155,36-45. (2015)
2004.9 -- 2010.1
大连理工大学
 概率论与数学统计
 博士
2000.9 -- 2004.7
大连理工大学
 数学与应用数学
 学士
1997.9 -- 2000.6
鞍山市第八高级中学
 无
2010.2 -- 至今
大连理工大学 高校教师
Mills’率; Gamma 率; Beta 率的研究
伽马函数,欧拉常数等数学常数的渐近估计
随机变量和的精细大偏差;保险精算中的破产概率理论
概率极限理论;布朗运动首出时的渐近理论.