Decision Theory and GLM
University of Cape Town
Cape Town, South Africa
Area of Study
Taught In English
Course entry requirements: STA2004F and STA2005S. MAM2000W is strongly recommended (linear algebra and advanced calculus modules).
Course Level Recommendations
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
Host University Units36
Recommended U.S. Semester Credits6
Recommended U.S. Quarter Units9
Hours & Credits
This course forms part of the third year major in Mathematical Statistics. It consists of two modules: The Generalised Linear Models module introduces students to the theory and application of fitting linear models to different types of response variables with different underlying distributions. The Decision and Risk Theory module is an introduction to the structure of decision making under uncertainty. The content of the modules are as follows:
Generalized linear modules: Topics covered include: the exponential family of distributions, the GLM formulation, estimation and inference, models for continuous responses with skew distributions, logistic regression, Poisson regression and loglinear models.
Decision theory: Topics covered include: game theory and non probabilistic decision criteria; probabilistic decision criteria; expected value and utility; use of Bayes? theorem; value of information; Bayesian statistical analysis for Bernoulli and normal sampling; empirical Bayes and credibility theory; loss and extreme value distributions; Monte Carlo method.
Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.