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
Gen Li
Thomas Braun
Concentration Competencies that BIOSTAT601 Allows Assessment On
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
Thomas Braun