# STAT404 Advanced Statistical Inference

Due to COVID-19 restrictions, a selection of on-campus papers will be made available via distance and online learning for eligible students.
Find out which papers are available and how to apply on our COVID-19 website

A core theory paper, examining the foundations of statistical methods of inference in both frequentist and Bayesian settings. It will include classical and modern computer-age methods.

Paper title Advanced Statistical Inference STAT404 Statistics 0.1667 20 points Semester 1 (On campus) \$1,174.57 Tuition Fees for international students are elsewhere on this website.
Prerequisite
STAT 370, MATH 202 and MATH 203
Contact

ting.wang@otago.ac.nz

Teaching staff
Textbooks

• Casella, G., & Berger, R. L. (2002). Statistical inference (2nd edition). Pacific Grove, CA: Duxbury
• Gelman, A., Carlin, J., Stern, H., and Rubin, D.B. (2003) Bayesian Data Analysis. Second Edition
• Robert, C. P. (2007) The Bayesian Choice. Second edition
• Gelman, A. and Hill, J. (2006) Data Analysis Using Regression and Multilevel/Hierarchical Models
• Albert, J. (2009) Bayesian Computation with R
• Link, W. A. and Barker, R. J. (2010) Bayesian Inference with Ecological Applications
• G. Young & R. Smith. Essentials of Statistical Inference
• B. Efron & T. Hastie. Computer Age Statistical Inference: Algorithms, Evidence, and Data Science

Communication, Critical Thinking, Lifelong learning, Information Literacy, Research, Teamwork

Learning Outcomes

Students who successfully complete the paper will:

• Understand the principles of Bayesian and frequentist inference methods, the theoretical properties and the proofs that were given for these methods
• Apply the methods to particular situations or statistical models that are not covered in this paper
• Choose appropriate methods of inference to tackle real problems
• Understand a scientific article that uses methods covered in this paper

## Timetable

### Semester 1

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Other