Course Description
Supplemental study on probability distributions and their role in mathematical statistics. This course is an adjunct to Probability Distributions and provides opportunity for additional study of the material in that course. Problems, background material, and details of derivations and proofs related to Probability Distributions content will be covered.
Athena Title
Supplemental Prob Distribution
Corequisite
STAT 6810
Semester Course Offered
Offered fall
Grading System
S/U (Satisfactory/Unsatisfactory)
Course Objectives
Through this course and its co-requisite Probability Distributions, students will gain the ability to solve problems in the theory of probability distributions. They will understand proofs of theoretical results about such distributions and be able to reproduce the steps of those arguments rigorously and completely. They will strengthen their understanding of relevant mathematical and statistical background material for Probability Distributions and be able to describe that background knowledge and apply it to problems in probability distributions. They will be able to identify and avoid gaps and logical flaws in mathematical arguments regarding probability distributions. Students will strengthen their ability to use probabilistic reasoning to solve problems and to communicate clearly in both mathematical and non-technical terms about probability distributions and their relevance to statistical theory. The course will provide useful preparation for assessments in Probability Distributions and for the departmental Ph.D.-level qualifying exams.
Topical Outline
The course will provide supplemental coverage of the topics covered in Probability Distributions, which include basic probability, transformations and expectations, common families of distributions, multiple random variables, and properties of a random sample.