Courses Taught by Thomas Braun
BIOSTAT601: Probability and Distribution Theory
- Graduate level
- Residential
- Fall term(s) for residential students;
- 4 credit hour(s) for residential students;
- Instructor(s): Gen Li, Thomas Braun, (Residential);
- Prerequisites: Three terms of calculus
- Description: Fundamental probability and distribution theory needed for statistical inference. Probability, discrete and continuous distributions, expectation, generating functions, limit theorems, transformations, sampling theory.
- Syllabus for BIOSTAT601
| Department | Program | Degree | Competency | Specific course(s) that allow assessment | BIOSTAT | MS | Apply the theoretical foundations of probability theory and distribution theory | BIOSTAT601 |
|---|
BIOSTAT685: Elements of Nonparametric Statistics
- Graduate level
- Residential
- Winter term(s) for residential students;
- 3 credit hour(s) for residential students;
- Instructor(s): Thomas Braun (Residential);
- Prerequisites: Biostat 602 or STAT 511, and Biostat 650 or Perm. Instr
- Description: First half covers theory and applications of rank and randomization tests: sampling and randomization models, randomization t-test, Wilcoxon rank sum and signed rank tests, Kruskal-Wallis test, asymptotic result under randomization, relative efficiency; second half covers theory and applications of nonparametric regression: smoothing methods, including kernel estimators, local linear regression, smoothing splines, and regression splines, methods for choosing the smoothing parameter, including unbiased risk estimation and cross-validation, introduction to additive models.
- Syllabus for BIOSTAT685