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Unit of study_
STAT5610: Advanced Inference
2024 unit information
The great power of the discipline of Statistics is the possibility to make inferences concerning a large population based on optimally learning from increasingly large and complex data. Critical to successful inference is a deep understanding of the theory when the number of samples and the number of observed features is large and require complex statistical methods to be analysed correctly. In this unit you will learn how to integrate concepts from a diverse suite of specialities in mathematics and statistics such as optimisation, functional approximations and complex analysis to make inferences for highly complicated data. In particular, this unit explores advanced topics in statistical methodology examining both theoretical foundations and details of implementation to applications. The unit is made up of distinct modules that may include (but are not restricted to) asymptotic theory for statistics and econometrics, theory and algorithms for statistical learning with big data, and introduction to optimal semiparametric optimality.
Unit details and rules
Managing faculty or University school:
Science
| Study level | Postgraduate |
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| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 6 |
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Prerequisites:
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None |
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Corequisites:
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None |
| Prohibitions:
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None |
| Assumed knowledge:
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Strong background in probability theory and statistical modelling. Please consult with the coordinator for further information |
At the completion of this unit, you should be able to:
- LO1. Demonstrate a coherent and advanced understanding of key concepts in statistical methodology.
- LO2. Apply fundamental principles and results in statistics to solve given problems.
- LO3. Distinguish and compare the properties of different types of statistical models and statistical methods applicable to them.
- LO4. Identify assumptions required for various statistical methods to be valid and devise methods for testing these assumptions.
- LO5. Devise statistical solutions to complex problems.
- LO6. Compose correct proofs of unfamiliar general results in statistical methodology.
- LO7. Compose correct proofs of unfamiliar general results in statistical methodology
Unit availability
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Important enrolment information
Additional advice
This unit is only available in even years.
