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STAT362 Probability and Inference 2

Theory of ordinary least squares, maximum likelihood estimation and inference, hypothesis testing, Bayesian inference.

This paper continues the theoretical development begun in STAT 261. The tools developed by statisticians for analysing data have become a major factor in the advancement of scientific knowledge. Why are these tools so useful? The reason is that they are based on an agreed system of mathematical and statistical reasoning. In order to be confident that the methods used by a statistician are reliable, we need an understanding of this theory.

Paper title Probability and Inference 2
Paper code STAT362
Subject Statistics
EFTS 0.1500
Points 18 points
Teaching period Second Semester
Domestic Tuition Fees (NZD) $868.95
International Tuition Fees (NZD) $3,656.70

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STAT 261 and MATH 170
Schedule C
Arts and Music, Science
All students majoring in Statistics under the Statistics Theme must take this paper. It is strongly recommended for all statistic students. STAT 261 and STAT 362 should also be considered by students with a strong mathematics background interested in a career in scientific research.
Teaching staff
Paper Structure
Main topics:
  • The general linear model
  • The likelihood function
  • Bayesian inference
  • Maximum likelihood estimation
  • Hypothesis testing using the likelihood function
  • Model selection using the likelihood function
Teaching Arrangements
Five 50-minute lectures per fortnight. One 2-hour tutorial a week.
Textbooks are not required for this paper.

Useful references:
  • Mathematical Statistics with Applications by Wackerly, Mendenhall and Scheaffer
  • An Introduction to Mathematical Statistics and its Applications by Larsen and Marx
A full set of lecture notes is available on the Departmental website.
Course outline
View course outline for STAT 362
Graduate Attributes Emphasised
Communication, Critical thinking, Information literacy.
View more information about Otago's graduate attributes.
Learning Outcomes
Students who successfully complete the paper will develop an understanding of key concepts in mathematical statistics.

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Second Semester

Teaching method
This paper is taught On Campus
Learning management system


Stream Days Times Weeks
L1 Tuesday 10:00-10:50 28-34, 36-41
Thursday 10:00-10:50 28-34, 36-41
Friday 10:00-10:50 28-34, 36-41


Stream Days Times Weeks
T1 Wednesday 15:00-16:50 28-34, 36-40