Haiyan Cai

 
Associate Professor
Department of Mathematics and Computer Science
University of Missouri-St. Louis
One University Boulevard
Saint Louis, MO 63121
 
Office:  324 Express Scripts Hall (ESH)
Phone:  (314) 516-6351; Fax: (314) 516-5400
E-mail:  haiyan_cai@umsl.edu
 

Education and Awards

o   Ph.D. in Mathematical Statistics (1988), University of Maryland, College Park

o   M.S. in Mathematical Statistics (1986), University of Maryland, College Park

o   B.S. in Mathematics (1982), Xiamen University

o   Alfred P. Sloan Doctoral Dissertation Fellowship (1987)

 

Research Interest

Non-parametric methods in statistics, statistical analysis of spatial data, statistical inference of random fields, computation methods in statistics.  Random fields and Gibbs distributions, studies of large stochastic systems (percolation theory, interacting particle systems, random cluster processes, cellular automata, and others), equilibrium and non-equilibrium dynamics.

 

Selected Publications

o   Cai, H., Jia, X. and Sha M. (2011). Critical Sensor Density for Partial Connectivity in Large Area Wireless Sensor Networks, ACM Transactions on Sensor Networks, Vol. 7, Issue 4.

o   Wang, Lihong and Cai, Haiyan (2010). Wavelet Change-Point Estimation for Long Memory Non-Parametric Random Design Models, Journal of Time Series Analysis, Vol. 31, Issue 2, 86-97.

o   Wang, Lihong and Cai, Haiyan (2010). Asymptotic properties of nonparametric regression for long memory random fields, Journal of Statistical Planning and Inference, Vol. 140, 837-850.

o   Cai, Haiyan (2009). A random cluster algorithm for some continuous Markov random fields, Journal of Statistical Computation and Simulation, Vol. 79, No. 11, 1278-1299.

o   Cai, Haiyan and Kang, Chen (2009). A model for collective market dynamics with local interactions (with K. Chen), International Journal of Applied and Theoretical Finance, Vol. 12, Issue 02, 251-266.

o   Cai, Haiyan (2002). A law of iterated logarithm for the wavelet transforms of i.i.d. random variables, Statistics and Probability Letters, Vol. 60, No. 1, 121-127.

o   Cai, Haiyan (2000). Exact bound for the convergence of Metropolis chains, Stochastic Analysis and Applications, Vol. 18, No. 1, 63-71.

o   Cai, Haiyan (1999). Cluster algorithms for spatial point processes with symmetric and shift invariant interactions, Journal of Computational and Graphical Statistics, Vol. 8, No. 2, 353-372.

o   Luo, Xiaolong, Turnbull, Bruce W., Cai, Haiyan, and Clark, Larry C (1994). Regression for censored survival data with lag effects, Communications in Statistics Theory and Methods, Vol. 23, No. 12, 3417-3438.

o   Cai, Haiyan and Luo, Xiaolong (1993). Laws of large numbers for a cellular automaton, Annals of Probability, Vol. 21, No. 3, 1413-1426.

o   Luo, Xiaolong and Cai, Haiyan (1992). Coexistence in a competition model, Statistics and Probability Letters, Vol. 15, No. 3, 241-243.

 

Teaching

 
Courses Fall 2017
Math 4005, Exploratory Data analysis with R, Section E01 TR 5:30 PM � 6:45 PM, 336 SSB
Math 4210, Mathematical Statistics II, Section 001 TR 12:30 PM � 1:45 PM, 207 SSB
 
 
Undergraduate
Math 1105 Basic Probability and Statistics
Math 1320 Applied Statistics I
Math 1800 Analytic Geometry and Calculus I
Math 1900 Analytic Geometry and Calculus II
Math 2000 Analytic Geometry and Calculus III
Math 2320 Applied Statistics II
Math 2450 Elementary Linear Algebra
Math 3000 Discrete Mathematics
Math 4200 Mathematical Statistics I
Math 4210 Mathematical Statistics II
Math 4300 Multivariate Analysis
Math 4310 Analysis of Variance and Design of Experiments
Math 4330 Nonparametric Methods in Statistics
Math 4450 Linear Algebra
Math 4500 Special Readings in Statistics
 
Graduate
Math 5140 Set Theory and Metric Spaces
Math 5320 Applied Statistics
Math 5360 Operations Research: Stochastic Models
Math 5500 Directed Readings (in Mathematical Statistics)
Math 5700 Topics in Applied Mathematics
Math 6200 Probability Theory

 

Last updated:  September 25, 2017

 

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