教育背景
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
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
项目课题经历
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
论文、成果、著作等
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。
[76], D. Lu* and L. Wang. Complete Moment Convergence for the Widely Orthant Dependent Linear Processes with Random Coefficients. Communications in Statistics –Theory and Methods. Accept (2020) (SCI)
[75], 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. Accept (2020)
[74], L. Zhang and D. Lu* and X. Wang. The essential dependence for a group of random vectors. Communications in Statistics –Theory and Methods. Accept (2020) (SCI)
[73], D. Lu* and J. Wang. Complete convergence and complete moment convergence for maximal randomly weighted sums of widely orthantdependent random variables with applications. Communications in Statistics –Theory and Methods. Accept (2019) (SCI)
[72], 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. Accept (2019)(SCI)
[71], X. Shen* and Q. Liu 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)
[70], 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) (SCI)
[69],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) (SCI)
[68],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) (SCI)
[67], 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) (SCI)
[66], 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. 48(1) 75-90 (2019) (SCI)
[65], 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)(SCI)
[64], 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)(SCI)
[63], 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) (SCI)
[62], 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) (SCI)
[61], 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) (SCI)
[60], 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)(SCI)
[59],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)(SCI)
[58], 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)(SCI)
[57], D. Lu and L. Song* and G. Tang. Some new approximations and proofs for Mills’ ratio. Results in Mathematics. 73(1), UNSP 27 (2018) (SCI)
[56], 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)(SCI)
[55], 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)(SCI)
[54], 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)(SCI)
[53], 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) (SCI)
[52], 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) (SCI)
[51], S. Liu and D. Lu*. Improved convergence towards Glaisher-Kinkelin's and Bendersky-Adamchik's constants. Results in Mathematics. 71(3), 731-747 (2017) (SCI)
[50], 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) (SCI)
[49], 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) (SCI)
[48], 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) (SCI)
[47], 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) (SCI)
[46], 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) (SCI)
[45], 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) (SCI)
[44], 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) (SCI)
[43], 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) (SCI)
[42], 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) (SCI)
[41], 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) (SCI)
[40], 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) (SCI)
[39], 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) (SCI)
[38], 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 Letters. 114, 20-29 (2016) (SCI)
[37], 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) (SCI)
[36], D. Lu*. A note on the estimates of multivariate Gaussian probability. Communications in Statistics - Theory and Methods. 45(5), 1459-1465 (2016) (SCI)
[35], 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) (SCI)
[34], 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) (SCI)
[33], 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) (SCI)
[32], 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)(SCI)
[31], 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) (SCI)
[30], D. Lu* and Z. Song. Some new continued fraction estimates of the Somos' quadratic recurrence constant. Journal of Number Theory. 155,36-45. (2015) (SCI)
[29], 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) (SCI)
[28], 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) (SCI)
[27], 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) (SCI)
[26], D. Lu*. A new sharp approximation for the Gamma function related to the Burnside's formula. The Ramanujan Journal. 35 (1),121-129. (2014) (SCI)
[25], 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) (SCI)
[24], 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) (SCI)
[23], 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) (SCI)
[22], D. Lu*. Some new improved classes of convergence towards Euler's constant. Applied Mathematics and Computation. 243, 24-32. (2014) (SCI)
[21], D. Lu*. Some new convergent sequences and inequalities of Euler's constant. Journal of Mathematical Analysis and Applications. 419 (1), 541-552. (2014) (SCI)
[20], 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) (SCI)
[19], D. Lu* and X. Wang. A new asymptotic expansion and some inequalities for the Gamma function. Journal of Number Theory. 140, 314-323. (2014) (SCI)
[18], 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) (SCI)
[17], 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) (SCI)
[16], D. Lu* and X. Wang, Some new normal comparison inequalities related to Gordon's inequality. Statistics & Probability Letter. 88, 133-140. (2014). (SCI)
[15], D. Lu*. Some quicker classes of sequences convergent to Euler's constant. Applied Mathematics and Computation. 232, 172-177. (2014) (SCI)
[14], D. Lu*. A generated approximation related to the Burnside's formula. Journal of Number Theory. 136, 414-422. (2014) (SCI)
[13], D. Lu*. A new quicker sequence convergent to Euler's constant. Journal of Number Theory. 136, 320-329. (2014) (SCI)
[12], 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) (SCI)
[11], 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) (SCI)
[10], 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) (SCI)
[09], 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). (SCI)
[08], 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) (SCI)
[07], 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) (SCI)
[06], D. Lu* and L.Song and Y. Wang. A note on the estimate of Gamma distribution. Mathematical Inequalities & Applications. 15 (1) 217–227. (2012) (SCI)
[05], 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) (SCI)
[04], 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). (SCI)
[03], 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) (SCI)
[02], D. Lu* and W.V. Li, A Note on Multivariate Gaussian Estimates. Journal of Mathematical Analysis and Application. 354 704-707. (2009) (SCI)
[01], 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) (SCI)
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