Nan Jiang

Nan Jiang

Professor

MATHEMATICAL SCIENCES

Patterson Hall 216

Phone: (605) 658-5978

Email: Nan.Jiang@usd.edu

Website: http://sites.google.com/a/usd.edu/nan-jiang

Education:

  • MS, Computer Science, Kansas State University, 2002
  • Ph D, Mathematics, Kansas State University, 2000
  • MS, Mathematics, Kansas State University, 1997

Research:

  • College of Arts & Sciences Travel Grant , College of Arts & Sciences , (2009 - 2010)
  • College of Arts & Sciences Travel Grant , College of Arts & Sciences , (2008 - 2008)
  • University of South Dakota Research Council Travel Grant , USD Research Council , (2006 - 2006)
  • College of Arts and Sciences Travel Supplement Grant , College of Arts and Sciences , (2004 - 2004)
  • University of South Dakota Research Council Travel Grant , USD Research Council , (2004 - 2004)

Publications:

Citations listed below are presented in a standardized, modified format for display purposes only. They do not necessarily reflect the preferred style and conventions of the faculty member or discipline.

  • Chiang, Jyun-You, Jiang, Nan, Brown, Trenton, Tsai, Tzong-Ru, and Lio, Yuhlong. Control charts for generalized exponential distribution percentiles, 7827-7843. Vol. 46, Iss. 10. Communications in Statistics-Simulation and Computation, 2017.
  • Lio, Yuhlong, Ng, H.K.T., Lin, Y.-J., Tsai, T.-R., and Jiang, Nan. Quantifying the Uncertainty in Optimal Experiment Schemes Via Monte Carlo Simulations. In Monte-Carlo Simulation-Based Statistical Modeling, edited by edited by Professors Ding-Geng Chen, Andriette Bekker and James Allison. Springer : Springer , 2017.
  • Jiang, Nan. On the Convergence of \beta-Schemes. Alberta: International Journal of Numerical Analysis and Modeling, 2017.
  • Tsai, Tzong-Ru, Jiang, Nan, and Lio, Yuhlong. Economic Design of the Life Test with a Warranty Policy, 225-231. Vol. 32, Iss. 4. Taylor & Francis: Journal of Industrial and Production Engineering, 2015.
  • Tsai, Tznog-Ru, Lio, Yuhlong, Jiang, Nan, Lin, Yu-Jau, and Fan, Ya-Yen. Economical sampling plans with warranty based on truncated data from Burr type XII distribution, 1511-1518. Vol. 66, Iss. 9. Journal of the Operational Research Society, 2015. (DOI: 10.1057/jors.2014.78)
  • Tsai, Tzong-Ru, Jiang, Jyun-You, Lio, Yuhlong, Jiang, Nan, and Fan, Ya-Yen. Parameter Estimation of the Burr Type XII Distribution with a Progressively Interval-Censored Scheme Using Genetic Algorithm, 189-194. Proceedings of the 3rd International Conference on Industrial Application Engineering 2015, 2015.
  • Rezac, Joseph, Lio, Yuhlong, and Jiang, Nan. Burr Type-XII Percentile Control Charts, 67-87. Vol. 6, Iss. 1. Chilean Journal of Statistics, 2015.
  • Lin, Yu-Jau, Jiang, Nan, Lio, Yuhlong, and Chen, Ding-Geng. Modeling Based on Progressively Type-I Interval Censored Sample. In Innovative Statistical Methods for Public Health Data, edited by Professor Din-Geng Chen and Professor Jeffrey Wilson. Springer, 2015.
  • Balakrishnan, Narayanaswamy, Jiang, Nan, Tsai, Tzong-Ru, Lio, Yuhlong, and Chen, Ding-Geng. Reliability Inference on Composite Dynamic Systems Based on Burr Type-XII Distribution, 144-153. Vol. 64, Iss. 1. IEEE Transactions on Reliability, 2015. (DOI: 10.1109/TR.2014.2338251)
  • Tsai, Tzong-Ru, Lio, Yuhlong, and Jiang, Nan. Optimal Decisions on the Accelerated Degradation Test Plan under the Wiener Process, 461-470. Vol. 11, Iss. 4. Journal of Quality Technology and Quantitative Management, 2014.
  • Jiang, Nan. The Convergence of $\alpha$ Schemes for Conservation Laws II: Fully-discrete Case. Edited by Editors-in-Chief:Chi-Wang Shu (Brown Univ), Xu-Jia Wang , Zhou-Ping Xin , Shing-Tung Yau , 201-220. Vol. 21, Iss. 2. International Press, Boston, Massachusetts, USA: (2014) Journal of Methods and Applications of Analysis, 2014.
  • Lio, Y. L., Tsai, Tzong-Ru, Aslam, M., and Jiang, Nan. Control Charts for Monitoring Burr Type X Percentiles. Edited by N. BALAKRISHNAN, 761-776. Vol. 43, Iss. 4. Taylor & Francis , inc: Journal of Communications in Statistics - Simulation and Computation, 2014.
  • Jiang, Nan. The Convergence of $\alpha$ Schemes for Conservation Laws I: Semi-discrete Case. Edited by Editors-in-Chief:Chi-Wang Shu (Brown Univ), Xu-Jia Wang , Zhou-Ping Xin , Shing-Tung Yau , 341-358. Vol. 19, Iss. 4. International Press, Boston, Massachusetts, USA: Journal of Methods and Applications of Analysis, 2013.
  • Chen, Din, Lio, Yuhlong, and Jiang, Nan. Lower Confidence Limits on the Generalized Exponential Distribution Percentiles under Progressive Type-I Interval Censoring. Edited by Editor-in-Chief: N. BALAKRISHNAN, 2106-2117. Vol. 42, Iss. 09. Taylor & Francis, Inc.: Journal of Communications in Statistics-Simulation and Computaion , 2013.
  • Jiang, Nan. On the Convergence of Semi-Discrete High Resolution Schemes with superbee Flux Limiter for Conservation Laws. Edited by Ta-Tsien Li and Song Jiang, 431-438. Vol. 2, Iss. CAM 18. Higher Education Press Beijing: Series in Contemporary Applied Mathematics CAM 18, Hyperbolic Problems (Theory, Numerics and Applications), 2012.
  • Jiang, Nan. Extremum Traceableness of the TVB Schemes. In Essays on Mathematics and Statistics: Volume 2, edited by Vladimir Akis, 55-67. Vol. 2. Athens: the 2nd International Conference on Mathematics and Statistics Jun. 2008, Athens, Greece, 2012.
  • Jiang, Nan. On the Convergence of Fully-Discrete High-Resolution Schemes with van Leer's Flux Limiter for Conservation Laws. Edited by Editors-in-Chief: Chi-Wang Shu, Xu-Jia Wang, Zhou-Ping Xin and Shing-Tung Yau, 403-422. Vol. 16, Iss. 3. Somerville, MA 02143 USA : Journal of Methods and Applications of Analysis , 2009.
  • Jiang, Nan, and Yang, Huanan. On Convergence of Semi-Discrete High Resolution Schemes with van Leer's Flux Limiter for Conservation Laws. Edited by Editors-in-Chief:Chi-Wang Shu, Xu-Jia Wang, Zhou-Ping Xin and Shing-Tung Yau, 089-102. Vol. 12, Iss. 1. Somerville, MA : Journal of Methods and Applications, 2005.
  • Jiang, Nan, and Yang, Huanan. On Wavewise Entropy Inequalities for High-Resolution Schemes with Source Terms I: The Semi-Discrete Case. Edited by Editors-in-Chief: Chi-Wang Shu, Xu-Jia Wang, Zhou-Ping Xin and Shing-Tung Yau, 487-512. Vol. 10, Iss. 4. Somerville, MA : Journal of Methods and Applications, 2004.
  • Jiang, Nan. Adapting PAGS (Parallel Adaptive Grid Simulation) as a Software Framework for Solving Systems of Linear Equations, 1-59. Manhattan, KS: Kanstate State University, 2002.
  • Jiang, Nan, and Lin, Yong. On the Unicity Theorems of the Meromorphic Functions, 33-38. Vol. 4, Iss. 1. Fuzhou, Fujian: Journal of Fujian Normal University, 1988.
  • Jiang, Nan. On a Rotation Theorem of Subordinate Functions, 17-24. Vol. 2, Iss. 2. Fuzhou, Fujian: Journal of Fujian Normal University, 1986.
  • Jiang, Nan. On a Property of Meromorphic Functions, 19-22. Vol. 2, Iss. 1. Fuzhou, Fujian: Journal of Fujian Normal University, 1985.
  • Lio, Yuhlong, Tsai, Tzong-Ru, Jiang, Nan, and Balakrishnan, Narayanaswamy. A dynamic system for Gompertz model, 752-768. Vol. 88, Iss. 4. Journal of Statistical Computation and Simulation.
  • Tsai, Tzong-Ru, Lio, Yuhlong, Jiang, Nan, Ng, Hon-Keung, and Chen, Ding-Geng. Optimal Designs for LED Degradation Modeling. In Statistical Modeling for Degradation Measurements. Springer.
  • Chiang, Jyun-You, Jiang, Nan, Tsai, Tzong-Ru, and Lio, Yuhlong. Inference of P(X<Y) for Burr XII Distributions with Record samples. Taylor & Francis: Communications in Statistics- simulation and computation.
  • Chiang, Jyun-You, Zhu, Jianping, Tsai, Tzong-Ru, Lio, Yuhlong, and Jiang, Nan. An Innovative Sampling Scheme for Resubmitted Lots by Attributes, 4019-4031. Vol. 91. Springer: The International Journal of Advanced Manufacturing Technology .

Awards and Honors:

  • List on Cambridge Who's Who 2010-2011, Cambridge Who's Who, 2010
  • Nominee of Belbas-Larson Awards for Excellence in Teaching, 2010, USD, 2010

Presentations:

  • Lio, Y, Jiang, Nan, Barnes, Morgan. Inference of Stress Strength for Gompertz Model with Record Samples.
  • Barnes, Morgan, Jiang, Nan, Lio, Yuhlong. Inference of Stress Strength for Gompertz Model with Record Samples. Presented at the 2016 Joint Statistical Meetings, Chicago. (August 01, 2016)
  • Jiang, Nan. On the convergence of ?-schemes for conservation laws. Presented at the the 16th International Conference on Hyperbolic Problems: Theory, Numeric and Applications, Aachen, Germany. (August 1, 2016)
  • Balakrishnan, N., Jiang, Nan, Tsai, Tzong-Ru, Lio, Yuhlong, Chen, D.G.. Reliability Inference on Composite Dynamic System Based on Burr Type-XII Distribution. Presented at the Invited Talk, Taipei, Taiwan. (October 19, 2015)
  • Lio, Yuhlong, Lin, Yu-Jau, Jiang, Nan, Tsai, Tzong-Ru. Maximum Likelihood Estimate for a Generalized Gamma Distribution under Progressive First Failure Censoring. Presented at the Joint Statistical Meetings 2015 , Seattle, Washington, USA. (August 2015)
  • Balakrishnan, N., Jiang, Nan, Tsai, Tzong-Ru, Lio, Yuhlong, Chen, Ding-Geng. Reliability Inference on Composite Dynamic Systems Based on Burr Type-XII Distribution. Presented at the Invited Talk, Taiwan. (May 25, 2015)
  • Brown, Trenton, Lio, Yuhlong, Jiang, Nan. Generalized Exponential Percentile Control Charts. Presented at the Invited Talk, Taiwan. (May 19, 2015)
  • Rezac, Joseph, Lio, Yuhlong, Jiang, Nan. Burr Type-XII Percentile Control Charts. Presented at the Invited Talk, Taiwan. (May 15, 2015)
  • Tsai, Tzong-Ru, Jiang, Jyun-You, Lio, Yuhlong, Jiang, Nan, Fan, Ya-Yen. Parameter Estimation of the Burr Type XII Distribution with a Progressively Interval-Censored Scheme Using Genetic Algorithm. Presented at the International Conference on Industrial Application Engineering, Kitakyushu, Japan. (March 2015)
  • Brown, Trenton, Lio, Yuhlong, Jiang, Nan. Maximum Likelihood Estimation for the Generalized Exponential Distribution Parameter under Progressive Type-II Censoring. Presented at the 2015 Joint Mathematical Meetings, San Antonio, Texas. (January 13, 2015)
  • Cao, Quy, Lio, Yuhlong, Jiang, Nan, Tsai, T.-R.. A Dynamic System based on Weibull Distribution. Presented at the 2015 Joint Mathematics Meetings , San Antonio, Texas. (January 13, 2015)
  • Brown, Trenton, Lio, Yuhlong, Jiang, Nan. Quality Control Charts for Generalized Exponential Lifetime Percentiles. Presented at the the 2014Iinternational Joint Statistical Meetings , Boston, Massachusetts. (August 2014)
  • Lio, Yuhlong, Tsai, Tzong-Ru, Lin, C-W, Sung, Y-L, Chou, P-T, Chen, C-L, Jiang, Nan, Chiang, J-Y. Planning Acceierated Degradation Test with Wiener Diffusion Process. Presented at the The 3rd Institute of Mathematical Statistics Asia Pacific Rim Meeting, Taipei, Taiwan. (July 2014)
  • Rezac, Joseph, Lio, Yuhlong, Jiang, Nan. Control Charts for Monitoring Burr Type-XII Percentiles. Presented at the 2014 National Conference on Undergraduate Research, University of Kentucky. (April 04, 2014)
  • Jiang, Nan. The Convergence of a Class of Third Order Schemes for Conservation Laws. Presented at the 2014 Natinonal Joint Mathematics Meetings, Baltimore, MD. (January 15, 2014)
  • Jiang, Nan. On the Convergence of Alpha Schemes. Presented at the National Joint Mathematics Meetings, San Diego. (January 11, 2013)
  • Jiang, Nan. On the Convergence of Semi-Discrete High Resolution Schemes with superbee Flux Limiter for Conservation Laws. Presented at the The Thirteenth International Conference on Hyperbolic Problems: Theory, Numeric and Applications, Beijing, China. (June 16, 2010)
  • Jiang, Nan. A Follow up on the Sweby's Conjecture -My Solution in the Fully-Discrete Case. Presented at the Mathematical Association of America, Nebraska/Southeast South Dakota Section Meetings, USD. (April 9, 2010)
  • Jiang, Nan. On the Convergence of Fully-Discrete High-Resolution Schemes with van Leer's Flux Limiter for Conservation Laws. Presented at the National Joint Mathematics Meetings, San Francisco, CA. (January 14, 2010)
  • Jiang, Nan. Extremum Traceableness of the TVB Schemes. Presented at the 2nd International Conference on Math and Statistics Athens, Greece , Athens, Greece. (June 17, 2008)
  • Jiang, Nan. Flux Limiter Methods for Conservation Laws: Fully Discrete Schemes. Presented at the NSF/CBMS Regional Research Conference on Numerical Methods for Nonlinear Elliptic Equations, University of Iowa. (May 21, 2007)
  • Jiang, Nan. On Convergence of Semi-Discrete High Resolution Schemes with van Leer's Flux Limiter for Conservation Laws. Presented at the International Conference on Numerical Analysis and Optimization, Beijing, China. (September 26, 2006)
  • Jiang, Nan. WEI (Wavewise Entropy Inequalities) Approach and the Convergence of Semi-Discrete High Resolution Schemes with Flux Limiter for Conservation Laws. Presented at the Midwest Numerical Analysis Conference, University of Iowa. (May 21, 2005)
  • Jiang, Nan. On Wavewise Entropy Inequalities for High-Resolution Schemes with Source Terms I: The Semi-Discrete Case. Presented at the The 2004 Hawaii International Conference on Statistics and Mathematics, Honolulu, Hawaii. (June 09, 2004)
  • Jiang, Nan. Conservative Schemes and Convergence Analysis by the Methods of WEI (Wavewise Entropy Inequalities) vs. CEI (Cell Entropy Inequalities). Presented at the Mathematical Association of America, Nebraska/Southeast South Dakota Section Meetings, USD. (March 28, 2003)