Xin Liu
Postdoctoral Fellow
Institute for Mathematics and its Applications
University of Minnesota, Minneapolis, MN 55455.
Email address: liuxin@ima.umn.edu.
Office phone: 612-626-1307.
CV
Research Statement
Teaching Statement
Education
- Ph.D. in Statistics and Operations Research, May 2011.
Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
Advisor: Professor Amarjit Budhiraja.
Ph.D. Thesis: "Multiscale Diffusion Approximations for Stochastic Networks in Heavy Traffic."
- M.S. in Statistics, December 2009.
Department of Statistics and Operations Research,
University of North Carolina at Chapel Hill.
- B.S. in Mathematics, July 2006.
Department of Mathematics, University of Science and
Technology of China.
Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
Advisor: Professor Amarjit Budhiraja.
Ph.D. Thesis: "Multiscale Diffusion Approximations for Stochastic Networks in Heavy Traffic."
Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
Department of Mathematics, University of Science and Technology of China.
Research interests
- Diffusion approximations for stochastic networks
- Stability and control for stochastic networks
- Stochastic analysis
- Stochastic modeling
- Splitting algorithms for rare events in Stochastic networks
- Applications of probability and statistics to revenue management, finance, healthcare, biology, etc.
Publications and preprints
- Multiscale diffusion approximations for stochastic networks in heavy traffic (with Amarjit Budhiraja), Stochastic Processes and their Applications, 121(3): 630-656, 2011. pdf
- Action time sharing policies for ergodic control of Markov chains (with Amarjit Budhiraja and Adam Shwartz), SIAM J. Control Optim. 50, pp. 171-195, 2012. pdf
- Stability properties for Markov modulated constrained diffusion processes (with Amarjit Budhiraja), to appear in Mathematics of Operations Research. pdf
- Dynamic scheduling for Markov modulated single-server multiclass queueing systems in heavy traffic (with Amarjit Budhiraja and Arka Ghosh), submitted. pdf
- Pricing and parameter estimation for competing sellers (with William Cooper), working paper.
- Dynamic scheduling of multiclass queueing networks with asymptotically subcritical servers (with Amarjit Budhiraja), in preparation.
Work in progress
- Stochastic modelling for order book dynamics (with Qi Gong and V. Kurkarni).
- Splitting algorithms for rare events in semimartingale reflected Brownian motions (with Kevin Leder).
Teaching experience
School of Statistics, University of Minnesota.
- Instructor (with full responsibility): Theory of Statistics I (STAT 5105), Fall 2012.
Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
- Instructor (with full responsibility):
- Introduction to Statistics (STOR 155), Summer 2009 and Fall 2010;
- Basic Statistics (STOR 151), Spring 2008, Summer
2008 and Spring 2009.
- Guest Lecturer: Stochastic Analysis (STOR 836), Fall 2010.
- Undergraduate mentor: Undergraduate Modeling Workshop in SAMSI, May 17 – 21,
2010.
- Teaching Assistant: Basic Statistics, Fall 2006; Introduction to probability, Spring 2007.
Awards
- Laha Travel Award, Institute of Mathematical Statistics, 2011.
- Excellence in Teaching Award, Department of Statistics and Operations Research, University
of North Carolina at Chapel Hill, 2010.
- Travel award for Stochastic Networks Workshop, Cambridge, UK, 2010.
- Graduate Student Fellowship, Statistical and Applied Mathematical Sciences Institute
(SAMSI), 2009.
- Outstanding Student Scholarships, University of Science and Technology of China, 2002 –
2005.
Invited talks
- INFORMS Annual Meeting, Phoenix, AZ, October 14 - 17, 2012.
- INFORMS International Meeting, Beijing, China, June 24 - 27, 2012.
- School of Statistics, University of Minnesota, April 19, 2012.
- Department of Mathematics, Rutgers University, April 3, 2012.
- Postdoc seminar, Institute for Mathematics and its Applications, November 22, 2011.
- School of Mathematics, University of Minnesota, November 4, 2011.
Contributed talks
- 14th Meeting of New Researchers in Statistics and Probability, University of California, San Diego, CA, July 26 - 28, 2012 (Poster).
- Seminar on Stochastic Processes, University of Kansas, Lawrence, KS, March 22 - 24, 2012.
- Joint Statistical Meetings, Miami, July 30 - August 4, 2011.
- STOR Colloquium, Department of Statistics and Operations Research, University of North
Carolina at Chapel Hill, November 17, 2010.
- 34th Conference on Stochastic Processes and Their Applications, Osaka, Japan, September
6 - 10, 2010.
- Joint Statistical Meetings, Vancouver, Canada, July 31 - August 5, 2010.
- The 4th Annual Graduate Student Probability Conference, Duke University, April 30 -
May 2, 2010.
- Stochastic Networks Workshop, Cambridge, UK, March 22 - 26, 2010 (Poster).
- Workshop on Theory and Qualitative Behavior of Stochastic Dynamics, SAMSI, February
8 - 10, 2010 (Poster).
Statistical consulting experience
Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
- Consultant (with J.S. Marron and X. Qiao) on "Statistical Analysis of Phenotypic
Characterization of Class III Malocclusion", March 2008.
Client: S. Frazier-Bowers, Department of Orthodontics, University of North Carolina
at Chapel Hill.
- Consultant (with J.S. Marron) on "Statistical Analysis of Correlations between AS
markers and OS markers", April 2008.
Client: I. Tchivilev, UNC McAllister Heart Institute, University of North Carolina at
Chapel Hill.
Professional service
Co-organizer for
- The 4th Annual Graduate Student Probability Conference, Duke University, April 30 -
May 2, 2010.
- The 3rd Annual Graduate Student Probability Conference, University of North Carolina at
Chapel Hill, May 1 - 3, 2009.
Referee for
- Bernoulli, Discrete Event Dynamic Systems, Mathematics of Operations Research, Journal of Applied Probability.
- Stochastic modelling for order book dynamics (with Qi Gong and V. Kurkarni).
- Splitting algorithms for rare events in semimartingale reflected Brownian motions (with Kevin Leder).
Teaching experience
School of Statistics, University of Minnesota.
- Instructor (with full responsibility): Theory of Statistics I (STAT 5105), Fall 2012.
Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
- Instructor (with full responsibility):
- Introduction to Statistics (STOR 155), Summer 2009 and Fall 2010;
- Basic Statistics (STOR 151), Spring 2008, Summer
2008 and Spring 2009.
- Guest Lecturer: Stochastic Analysis (STOR 836), Fall 2010.
- Undergraduate mentor: Undergraduate Modeling Workshop in SAMSI, May 17 – 21,
2010.
- Teaching Assistant: Basic Statistics, Fall 2006; Introduction to probability, Spring 2007.
Awards
- Laha Travel Award, Institute of Mathematical Statistics, 2011.
- Excellence in Teaching Award, Department of Statistics and Operations Research, University
of North Carolina at Chapel Hill, 2010.
- Travel award for Stochastic Networks Workshop, Cambridge, UK, 2010.
- Graduate Student Fellowship, Statistical and Applied Mathematical Sciences Institute
(SAMSI), 2009.
- Outstanding Student Scholarships, University of Science and Technology of China, 2002 –
2005.
Invited talks
- INFORMS Annual Meeting, Phoenix, AZ, October 14 - 17, 2012.
- INFORMS International Meeting, Beijing, China, June 24 - 27, 2012.
- School of Statistics, University of Minnesota, April 19, 2012.
- Department of Mathematics, Rutgers University, April 3, 2012.
- Postdoc seminar, Institute for Mathematics and its Applications, November 22, 2011.
- School of Mathematics, University of Minnesota, November 4, 2011.
Contributed talks
- 14th Meeting of New Researchers in Statistics and Probability, University of California, San Diego, CA, July 26 - 28, 2012 (Poster).
- Seminar on Stochastic Processes, University of Kansas, Lawrence, KS, March 22 - 24, 2012.
- Joint Statistical Meetings, Miami, July 30 - August 4, 2011.
- STOR Colloquium, Department of Statistics and Operations Research, University of North
Carolina at Chapel Hill, November 17, 2010.
- 34th Conference on Stochastic Processes and Their Applications, Osaka, Japan, September
6 - 10, 2010.
- Joint Statistical Meetings, Vancouver, Canada, July 31 - August 5, 2010.
- The 4th Annual Graduate Student Probability Conference, Duke University, April 30 -
May 2, 2010.
- Stochastic Networks Workshop, Cambridge, UK, March 22 - 26, 2010 (Poster).
- Workshop on Theory and Qualitative Behavior of Stochastic Dynamics, SAMSI, February
8 - 10, 2010 (Poster).
Statistical consulting experience
Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
- Consultant (with J.S. Marron and X. Qiao) on "Statistical Analysis of Phenotypic
Characterization of Class III Malocclusion", March 2008.
Client: S. Frazier-Bowers, Department of Orthodontics, University of North Carolina
at Chapel Hill.
- Consultant (with J.S. Marron) on "Statistical Analysis of Correlations between AS
markers and OS markers", April 2008.
Client: I. Tchivilev, UNC McAllister Heart Institute, University of North Carolina at
Chapel Hill.
Professional service
Co-organizer for
- The 4th Annual Graduate Student Probability Conference, Duke University, April 30 -
May 2, 2010.
- The 3rd Annual Graduate Student Probability Conference, University of North Carolina at
Chapel Hill, May 1 - 3, 2009.
Referee for
- Bernoulli, Discrete Event Dynamic Systems, Mathematics of Operations Research, Journal of Applied Probability.
- Instructor (with full responsibility):
- Introduction to Statistics (STOR 155), Summer 2009 and Fall 2010;
- Basic Statistics (STOR 151), Spring 2008, Summer 2008 and Spring 2009.
- Guest Lecturer: Stochastic Analysis (STOR 836), Fall 2010.
- Undergraduate mentor: Undergraduate Modeling Workshop in SAMSI, May 17 – 21, 2010.
- Teaching Assistant: Basic Statistics, Fall 2006; Introduction to probability, Spring 2007.
Awards
- Laha Travel Award, Institute of Mathematical Statistics, 2011.
- Excellence in Teaching Award, Department of Statistics and Operations Research, University
of North Carolina at Chapel Hill, 2010.
- Travel award for Stochastic Networks Workshop, Cambridge, UK, 2010.
- Graduate Student Fellowship, Statistical and Applied Mathematical Sciences Institute
(SAMSI), 2009.
- Outstanding Student Scholarships, University of Science and Technology of China, 2002 –
2005.
Invited talks
- INFORMS Annual Meeting, Phoenix, AZ, October 14 - 17, 2012.
- INFORMS International Meeting, Beijing, China, June 24 - 27, 2012.
- School of Statistics, University of Minnesota, April 19, 2012.
- Department of Mathematics, Rutgers University, April 3, 2012.
- Postdoc seminar, Institute for Mathematics and its Applications, November 22, 2011.
- School of Mathematics, University of Minnesota, November 4, 2011.
Contributed talks
- 14th Meeting of New Researchers in Statistics and Probability, University of California, San Diego, CA, July 26 - 28, 2012 (Poster).
- Seminar on Stochastic Processes, University of Kansas, Lawrence, KS, March 22 - 24, 2012.
- Joint Statistical Meetings, Miami, July 30 - August 4, 2011.
- STOR Colloquium, Department of Statistics and Operations Research, University of North
Carolina at Chapel Hill, November 17, 2010.
- 34th Conference on Stochastic Processes and Their Applications, Osaka, Japan, September
6 - 10, 2010.
- Joint Statistical Meetings, Vancouver, Canada, July 31 - August 5, 2010.
- The 4th Annual Graduate Student Probability Conference, Duke University, April 30 -
May 2, 2010.
- Stochastic Networks Workshop, Cambridge, UK, March 22 - 26, 2010 (Poster).
- Workshop on Theory and Qualitative Behavior of Stochastic Dynamics, SAMSI, February
8 - 10, 2010 (Poster).
Statistical consulting experience
Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
- Consultant (with J.S. Marron and X. Qiao) on "Statistical Analysis of Phenotypic
Characterization of Class III Malocclusion", March 2008.
Client: S. Frazier-Bowers, Department of Orthodontics, University of North Carolina
at Chapel Hill.
- Consultant (with J.S. Marron) on "Statistical Analysis of Correlations between AS
markers and OS markers", April 2008.
Client: I. Tchivilev, UNC McAllister Heart Institute, University of North Carolina at
Chapel Hill.
Client: S. Frazier-Bowers, Department of Orthodontics, University of North Carolina at Chapel Hill.
Client: I. Tchivilev, UNC McAllister Heart Institute, University of North Carolina at Chapel Hill.