Program
M.S. in Mathematical Sciences (Applied Statistics Concentration)
1. Student Learning Outcomes for the program. List the Student Learning
Outcomes for the program.
Upon completion of the master degree in mathematical sciences (Applied Statistics
Concentration), students would be able to demonstrate knowledge of applied statistics, analyze
applied statistics concepts, do problem-solving in applied statistics in the following areas:
MAT 657
Finite & infinite sets, sequences of functions, continuous functions, differentiation
of functions of one
variable.
MAT 663
Advanced Matrix Theory and Applications.
STA 667
Introductory to statistical inference, discrete and continuous probability,
probability models, estimations,
Bayesian estimation, confidence
intervals, hypothesis testing.
STA 767
Advanced Mathematical Statistics: Point estimation: Equivalences, admissibility,
minimaxity, optimality properties,
asymptotic properties, unbiasedness,
similarity, invariance, admissibility, minimaxity in hypotheses testing,
linear hypotheses, and conditional inference.
6 credit from:
(a)
STA 763
Regression and Multivariate Analysis: Matrix theory, examining residuals,
multiple regression, nonlinear
regression, multivariate normal,
variance-covariance matrix, canonical correlation, distribution of characteristic roots.
STA 765
Statistical Decision Theory: Decision rules, loss functions, risk functions, decision
principles, utility theory, Bayesian
estimators, hypothesis testing, Bayesian
sequential analysis.
Or
(b)
STA 751
Spatial Statistics: Stochastic process, first and second order stationarity, intrinsic
hypothesis, models of spatial
dependence, different forms of Kriging,
bicubic splines, conditional simulation.
STA 769
Environmental Statistics II: Multivariate Methods, testing for multivariate
normality, multivariate control charts,
exploratory data analysis, cluster
analysis, factor analysis, and multivariate calibration problems.
6 credits of Thesis:
Or
An additional 6 credits of MAT or STA at 700 level from area of specialization.
Thesis Defense: Demonstrate the ability to successfully present results in both oral and written
formats.
Or
Written Comprehensive exam: Based on degree requirements.