Course Descriptions

Course Number Course Name and Description
STA 503 (234)

Choice Theory

This seminar deals with the foundations and applications of the theory of rational choice, including Bayesian decision theory (subjective expected utility) as well as nonexpected utility theory, noncooperative game theory, and arbitrage theory...

Prerequisites:

Audience: Graduate

Typically offered: Occasionally

STA 601 (290)

Bayesian and Modern Statistical Data Analysis

Principles of data analysis and modern statistical modeling. Exploratory data analysis. Introduction to Bayesian inference, prior and posterior distributions, predictive distributions, hierarchical models, model checking and selection, missing...

Prerequisites:

Audience: Graduate, PhD, Master's, First Year

Typically offered: Fall and/or Spring

STA 611 (213)

Introduction to Statistical Methods

Emphasis on classical techniques of hypothesis testing and point and interval estimation, using the binomial, normal, t, F, and chi square distributions. Not open to students who have had Statistical Science (250) 114.

Prerequisites: Multivariable calculus

Audience: Graduate, Master's

Typically offered: Fall Only

STA 613 (270)

Statistical Methods/Computational Biology

Methods of statistical inference and stochastic modeling with application to functional genomics and computational molecular biology.

Prerequisites: STA 611 (213). linear algebra, and multivariate calculus

Audience: Introductory, Graduate, Master's

Typically offered: Spring Only

STA 690 (293)

Special Topics in Statistics

Current topics vary by semester; please see Current Course Schedule for latest offering. Instructor: Staff

Prerequisites: None

Audience: Graduate, PhD

Typically offered: Fall and/or Spring

STA 701S (395)

Readings in Statistical Science

Advanced seminar on topics at research frontiers in statistical sciences. Consent of instructor required. Instructor: Staff

Prerequisites: None

Audience: Graduate, PhD, Second Year, First Year

Typically offered: Fall and/or Spring

STA 711 (205)

Probability and Measure Theory

Introduction to probability spaces, the theory of measure and integration, random variables, and limit theorems. Distribution functions, densities, and characteristic functions; convergence of random variables and of their distributions; uniform...

Prerequisites: Real Analysis

Audience: Graduate, PhD, Master's, First Year

Typically offered: Fall Only

STA 721 (244)

Linear Models

Multiple linear regression and model building. Exploratory data analysis techniques, variable transformations and selection, parameter estimation and interpretation, prediction, Bayesian hierarchical models, Bayes factors and intrinsic Bayes...

Prerequisites: None

Audience: Graduate, PhD, Master's, First Year

Typically offered: Fall Only

STA 723 (245)

Statistics Case Studies

Advanced Bayesian statistical modelling from an applied perspective; problems and data from a range of application areas; focus on statistical thought and practice with in-depth examination of applications; statistical topics drawn from...

Prerequisites: STA 721 (244), suggested co-requisite STA 831 (214)

Audience: Graduate, PhD, First Year

Typically offered: Spring Only

STA 732 (215)

Statistical Inference

Classical, likelihood, and Bayesian approaches to statistical inference. Foundations of point and interval estimation, and properties of estimators (bias, consistency, efficiency, sufficiency, robustness). Testing: Type I and II errors, power,...

Prerequisites: STA 611 (213) and STA 721 (244) or consent of instructor

Audience: Graduate, PhD, Master's, First Year

Typically offered: Spring Only

STA 790 (294)

Special Topics in Statistics

Current topics vary by semester; please see Current Course Schedule for latest offering. Instructor: Staff

Prerequisites: STA 611 (213) or consent of instructor. Pass/Fail grading only.

Audience: Graduate, PhD

Typically offered: Fall and/or Spring

STA 811 (207)

Probability

Theoretic probability.  Triangular arrays, weak laws of large numbers, variants of the central limit theorem, rates of convergence of limit theorems, local limit theorems, stable laws, infinitely divisible distributions, general state space...

Prerequisites: STA 711 (205)

Audience: Graduate, PhD

Typically offered: Fall and/or Spring

STA 831 (214)

Probability/Statistical Models

Theory, modeling, and computational topics in probability and statistics: distribution theory and modeling, simulation and applied probability models in statistics, generation of random variables. Monte Carlo method and integration; Markov Chain...

Prerequisites: STA 601 (290), STA 721 (244) and STA 732 (215)

Audience: Graduate, PhD, Master's, First Year

Typically offered: Spring Only

STA 832 (345)

Multivariate Statistical Analysis

Review of matrix algebra, transformations, and Jacobians. The multivariate normal, Wishart, multivariate t, and related distributions are given special emphasis. Topics such as principal components, factor analysis, discrimination and...

Prerequisites: STA 732 (244) and STA 841 (216)

Audience: Graduate, PhD, Master's

Typically offered: Occasionally

STA 841 (216)

Generalized Linear Models

Likelihood-based and Bayesian inference of binomial, ordinal, and Poisson regression models, and the relation of these models to item response theory and other psychometric models.

Prerequisites: STA 721 (244) Linear Models or consent of instructor

Audience: Graduate, PhD, Master's, Second Year

Typically offered: Fall Only

STA 851 (390)

Statistical Consulting Workshop

Under faculty supervision, students address and solve consulting problems submitted to the Department of Statistical Science's  campus-wide consulting program, and present their solutions to the class. May be taken more than once. Consent of...

Prerequisites: None

Audience: Graduate, PhD

Typically offered: Fall and/or Spring

STA 863 (376)

Advanced Modeling and Scientific Computing

An introduction to advanced statistical modeling and modern numerical methods useful in implementing statistical procedures for data analysis, model exploration, inference, and prediction. Topics include simulation techniques for maximization...

Prerequisites: None

Audience: Graduate, PhD, Master's, Second Year

Typically offered: Spring Only

STA 941 (281)

Modern Nonparametric Theory and Methods

Modern nonparametric approaches for exploring and drawing inferences from data. Topics may include: resampling methods, nonparametric density estimation, nonparametric regression and classification, bootstrapping, kernel methods, splines, local...

Prerequisites: None

Audience: PhD

Typically offered: Occasionally

STA 942 (356)

Time Series and Forecasting

Time series data and models: trend, seasonality, and regressions. Traditional models: EWMA, EWR, ARMA. Dynamic linear models (DLMs). Bayesian learning, forecasting, and smoothing. Mathematical structure of DLMs and related models. Intervention,...

Prerequisites: Prerequisite: STA 732 (244) or equivalent.

Audience: Graduate, PhD, Master's

Typically offered: Occasionally

STA 944 (280)

Spatial Statistics

Modeling data with spatial structure;point-referenced (geo-statistical)data, areal (lattice) data, and point process data; stationarity, valid covariance functions; Gaussian processes and generalizations; kriging; Markov random fields (CAR and...

Prerequisites: None

Audience: Graduate, PhD, Master's

Typically offered: Occasionally

STA 961 (357)

Stochastic Processes

Conditional probabilities and Radon-Nikodym derivatives of measures; tightness and weak convergence of probability measures, measurability and observability. Markov chains, Brownian motion, Poisson processes. Gaussian processes, birth-and-death...

Prerequisites: STA 711 (205)

Audience: Graduate, PhD, Master's

Typically offered: Occasionally

STA 993 (291)

Independent Study

Directed reading and research. Consent of instructor and director of graduate studies required.

Prerequisites: None

Audience: Graduate, PhD

Typically offered: Fall and/or Spring

STA 994 (293)

Independent Study

Directed reading and research. Consent of instructor and director of graduate studies required.

Prerequisites: None

Audience: Graduate, PhD

Typically offered: Fall and/or Spring