Statistics, especially Nonparametric and Robust Multivariate Analysis
Applications of Depth Functions
Data Mining, Outlier Identification and Cluster Analysis
Correlated Data Analysis
Risk and Reliability Analysis
Research Papers Published and Submitted
Robust Clustering in High Dimensional Data Using Statistical Depths.
BMC Bioinformatics 2007, 8 (Suppl 7)
(with Y. Ding, H. Peng and D. Wilkins). (Open access online)
Depth-Based Novelty Detection and its Application to Taxonomic Research. The Seventh IEEE International
Conference on Data Mining (ICDM), 113-122, Omaha, Nebraska, October 2007
(with Y. Chen, H. Bart and H. Peng). (pdf)
Influence Functions of Some Depth Functions, with Application to L-Statistics. Journal of Nonparametric Statistics, 21 (01), 49-66, 2009 (with R. Serfling and W. Zhou).
(pdf)
Outlier Detection with the Kernelized Spatial Depth Function. IEEE Transactions on Pattern Analysis and Machine
Intelligence, 31(2), 288-305, 2009 (With Y. Chen, H. Peng and H. Bart). (pdf)
A Unified Approach for Analyzing Exchangeable Binary Data
with Applications to Developmental Toxicity Studies. Statistics in Medicine, 28, 2580-2604, 2009 (with S. Keeton and H. Peng). (pdf)(code)
Graph Ranking for Exploratary Gene Data Analysis. BMC Bioinformatics 2009, 10 (Suppl 11)
(with C. Gao, Y. Chen and D. Wilkins). (Open access online)
Nonparametric Depth-Based Multivariate Outlier Identifiers, and Masking Robustness Properties. Journal of Statistical Inference and Planning, 140, 198-213, 2010
(with Robert Serfling). (pdf)
Projection Based Scatter Depth Functions and Associated Scatter Estimators. Journal of Multivariate Analysis, 101, 138-153, 2010
(with Weihua Zhou). (pdf)
The Distribution of Partially Exchangeable Random variables. Statistics and Probability Letters, 80, 932-938, 2010 (with H. Peng and X. Wang).
(pdf)
Learning to Rank Using 1-norm Regularization and Convex Hull Reduction, Proceedings of ACM Southeast Conference (ACMSE), April, 2010 (with X. Nan, Y. Chen and D. Wilkins).
(pdf)
A Numerical Study of Multiple Imputation Methods Using Nonparametric Multivariate Outlier Identifiers and Depth-Based Performance Criteria with Clinical Laboratory Data.
Journal of Statistical Computation and Simulation, 81, 547-560, 2011
(with Robert Serfling). (pdf)
Multiclass Classification with Potential Function Rules:
Margin Distribution and Generalization. Pattern Recognition, to appear (with F. Teng, Y. Chen).
(pdf)
Theil-Sen Estimators in a Multiple Linear Regression Model. (with H. Peng, X. Wang and H. Zhang).
(pdf)
Analyzing Partially Exchangeable Binary Data. (with H. Peng and L. Garner).
(pdf)(code)
Robustness of the Affine Equivariant Scatter Estimator
Based on the Spatial Rank Covariance Matrix. (with K. Yu and Y. Chen).(pdf)
Grant Support
CoPI, "Theil-Sen Estimators in Semiparametric Mixed Models", National Science Foundation, DMS-0707074, 2007-2009
PI, REU supplemental project, National Science Foundation, DMS-0809018, 2008-2009
Former and Current Doctoral Students
Cuilan Gao, Graph Ranking with the Kernelized Spatial Depth and Its Applications, 2010
Kai Yu, Robust Methods Based on Spatial Rank Functions, expected in 2012
Teaching
Statistical Methods I (Math 675), Fall 11
Data Analysis with R (Math676), Spring 11
Bayesian Statistics (Math675), Fall 10
Statistical Learning I (Math675), Fall 08
Statistical Learning II (Math676), Spring 09
Mathematical Statistics I (Math575), Fall 05, Fall 06, Fall 07, Fall 09, Fall 11
Mathematical Statistics II (Math576), Spring 06, Spring 07, Spring 08, Spring 10
Introduction to Acturarial Science (Math480), Fall 07, Fall 08
Introduction to Linear Algebra (Math319), Spring 08
Introduction to Statistics (Math375), Summer 07, Spring 09, Spring 10
Calculus III (Math263), Fall 05, Spring 06, Fall 06, Fall 10