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New Mexico State University
College of Arts and Sciences
Department of Mathematical Sciences

Statistics Group

Faculty: J. Harding (Logic and Foundations); H. Nguyen (Probability and Mathematical Statistics); N. Nguyen ( Probability and Analysis); R. Smits ( Probability and Mathematical Finance); C. Sweezy (Harmonic Analysis); T. Wang (Mathematical Statistics).

Emeritus Faculty: C. Swartz ( Functional Analysis); C. Walker (Algebra and Fuzzy Logic ); E. Walker (Algebra, Statistics and Fuzzy Logic).

Doctoral Student: D. Feng, B. Li.

Master students: Z. Liang, T. Ngnitedema, H. Tran, Z. Tan, A. To, and Y. Tong.

Group Activities: Weekly Statistics Seminar ( Tuesday, 2.30-3.30, SH 235) and Weekly Working Group meeting ( Friday, 2.30- 4.30, SH 248).

Faculty Interests:

J. Harding:
Area of interest: Logic and Foundations

Recent and current research includes topics from fractal geometry and fuzzy logic.

H. Nguyen:
Areas of interest: Foundations of statistics with random sets, Uncertainty Analysis in Intelligent Systems.

Research Topics: Choquet integral for convergence in distribution of random set statistics and for decision-making in fuzzy queuing networks.

N. Nguyen:
Fractal geometry, random sets.

R. Smits:
Areas of interest: Stochastic analysis, Brownian motion, Heat kernels and Spectral theory with Applications to Mathematical Finance and Heat Transfer.

Current research Topics: Heat kernels in unbounded domains, Stochastic interest rate models and Bessel processes, Spectral theory for Robin boundary value problems.

C. Sweezy:
Areas of interest: Application of harmonic analysis to solutions of elliptic and parabolic equations on non-smooth domains. Weights, Littlewood-Paley functions, subspaces of BMO.

Research problems: The Hardy-Littlewood maximal function on subspaces of BMO and of weak L-infinity. Weighted inequalities for parabolic gradients on non-smooth domains.

T. Wang:
Area of interest: Multivariate linear Models, Cochran's theorems, and Foundations of statistics with random sets.

Current Research topics: Inferences in Growth curve models, Wishartness of quadratic forms in mixed linear models, and Inferences in multivariate components of variance models.