Units / MTH2232
MTH2232 · Mathematical statistics
2027 Handbook6 credit pointsLevel 2School of Mathematics
Overview
This unit is a rigorous introduction to the theory of mathematical statistics and more specifically of statistical inference. It provides the mathematical theory underlying the methods and concepts used in statistics, such as estimation and hypothesis testing. This unit will cover a variety topics including: properties of a random sample, principles of data reduction, point estimation (including maximum likelihood estimation), hypothesis testing, interval estimation, the analysis of variance and linear regression.
Areas of study: Applied mathematics Financial and insurance mathematics Mathematical statistics Mathematics
Offerings
| Campus | Teaching period | Mode |
|---|---|---|
| Clayton | Second semester | Teaching activities are on-campus (ON-CAMPUS) |
Assessment
The Handbook lists an examination for this unit.
| # | Assessment | Type | Weight | Hurdle |
|---|---|---|---|---|
| 1 | Continuous assessment | Project | 50% | — |
| 2 | Final assessment - Exam (3 hours and 10 minutes) | Examination | 50% | — |
Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.
Requisites
prerequisite
corequisite
OR
MTH2015Multivariable calculus (advanced)6 cpOR
MTH2021Linear algebra with applications6 cpOR
MTH2025Linear algebra (advanced)6 cpOR
MTH2040Mathematical modelling6 cpOR
ENG2005Advanced engineering mathematics6 cpOR
MTH2019Multivariate mathematics for data science6 cpLearning outcomes
- Demonstrate understanding of basic concepts in statistical inference, and in particular point and confidence estimation and hypothesis testing;
- Use point and confidence estimation and hypothesis testing in a variety of contexts including analysis of variance and linear regression;
- Demonstrate advanced skills in the effective use of statistical software;
- Demonstrate advanced skills in the written and oral presentation of mathematical and statistical arguments.
Workload
• Three 1-hour seminars; • One 2-hour applied class (in weeks 2-12) and • 7 hours of independent study per week.
| Activity | Duration |
|---|---|
| Applied sessions | 22 hours |
| Seminars | 36 hours |
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