# ST413 - Bayesian Statistics and Decision Theory with Advanced Topics

**Module code:**ST413**Module name:**Bayesian Statistics and Decision Theory with Advanced Topics**Department:**Statistics**Credit:**15

Content and teaching | Assessment | Availability

## Module content and teaching

###### Principal aims

To demonstrate how to build statistical models of non-trivial problems when data is sparse and expert judgements need to be incorporated; to give ways to represent the pertinent features of a decision problem; to give practical algorithms for finding decision rules which the client can expect will best satisfy pre-specified objectives; to train the student in the rudiments of decision analysis.

###### Principal learning outcomes

The student will gain an appreciation of the importance of conditional independence in subjective (Bayesian) statistical modelling and be introduced to the DAG as an efficient representation of collections of conditional independence statements as they arise in practice; The student will be provided with techniques for eliciting subjective probability distributions over many variables; The student will be provided with techniques for eliciting quantitative preference structures from a client which may involve competing objectives; The student will obtain an appreciation of the foundational arguments that justify expected utility maximisation as a paradigm for rational action; The student will obtain practice in implementing these techniques; The student will learn the bases of fast algorithms for the calculation of probabilities needed in such maximisation.

###### Timetabled teaching activities

3 x 1-hour lectures per week.

###### Departmental link

http://www2.warwick.ac.uk/fac/sci/statistics/courses/modules/years3-4/st413

###### Other essential notes

Availability: Only available to students who have NOT taken ST301. Prerequisite(s): ST218 Mathematical Statistics A and ST219 Mathematical Statistics B for students from the Statistics department. ST220 Mathematical Statistics for students from other departments.

## Module assessment

Assessment group | Assessment name | Percentage |
---|---|---|

15 CATS (Module code: ST413-15) | ||

B (Examination only) | 2 hour examination (Summer) | 100% |

## Module availability

This module is available on the following courses:

###### Core

N/A

###### Optional Core

- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 4

###### Optional

- Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 3
- Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 5
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30B) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30B) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30B) - Year 5
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 5
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 5
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30E) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30E) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30E) - Year 5
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30F) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30F) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30F) - Year 5
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 5
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 3
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 4
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 5
- Undergraduate Discrete Mathematics (G4G3) - Year 4
- Postgraduate Taught Statistics (G4P1) - Year 2