Recent Teaching
- Spring 2013
- Math 308 - Statistical Inference and Data Analysis II
Math 307 and 308 provide instruction in both the mathematical basis for
modern statistical techniques as well as their latest and most important
applications. These classes are also the core of the Statistics Minor
offered by the Mathematics Department. Possible topics: Probability,
counting, independence, distributions, random variables, simulation,
expectation, variance, covariance, transformations, law of large numbers,
Central limit theorem, estimation, efficiency, maximum likelihood,
Cramer-Rao bound, the bootstrap.
Blackboard
- Math 542L - Analysis of Variance & Regression
A graduate-level introduction to regression and ANOVA models with
statistical computing laboratory. Topics:
Basics of multivariate statistics, ordinary and generalized least
squares estimation in the
linear model, the F-test, multiple comparisons and confidence intervals,
equivariance and invariance, ridge regression and the lasso, analysis of
variance, random effects models, and applications with statistical
computing in R.
Blackboard
- Fall 2012
- Math 541B - Mathematical Statistics
Second semester of the core graduate mathematical statistics sequence.
Topics: Hypothesis tests and their optimality theory, the
Neyman-Pearson lemma, generalized likelihood ratios, confidence regions,
asymptotic theory,
jackknife & bootstrap methods, the EM algorithm, and Monte
Carlo simulation methods including Markov chain Monte
Carlo.
- Spring 2012
- Math 542L - Analysis of Variance & Regression
- Fall 2011
- Math 307 - Statistical Inference and Data Analysis I
- Math 541B - Mathematical Statistics
- Spring 2010
- Math 542L - Analysis of Variance & Regression
- Fall 2009
- Math 208X - Elementary
Probability & Statistics
Introductory probability and statistics
using the
popular Freedman, Pisani, and Purves text. Topics: Descriptive statistics,
experimental design and sampling concepts, normal
approximation, correlation and
regression, basic probability
theory, the Central Limit Theorem, confidence intervals, and hypothesis
testing.
- Math 541B - Mathematical Statistics
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