Undergraduate Programme and Module Handbook 2010-2011 (archived)

Module MATH3341: Bayesian Statistics III

Department: Mathematical Sciences

MATH3341: Bayesian Statistics III

Type	Open	Level	3	Credits	20	Availability	Available in 2011/12 and alternate years thereafter	Module Cap	None.	Location	Durham

Prerequisites

Linear Algebra II (MATH2021) and Statistical Concepts II (MATH2041).

Corequisites

Excluded Combination of Modules

Bayesian Statistics IV (MATH4031)

Aims

To provide an overview of the theoretical basis for Bayesian statistics and an introduction to the theory and application of the Bayes linear approach.

Content

Foundations of Bayesian statistics.
Exponential families, sufficiency and conjugacy.
Bayes linear methodology.

Learning Outcomes

Subject-specific Knowledge:

Awareness of the abstract concepts of theoretical mathematics in the field of Bayesian statistics.
Knowledge and understanding of fundamental theories of these subjects demonstrated through one or more of the following topic areas:
subjective probability and foundations of Bayesian statistics.
exchangeability and hierarchical modelling.
exponential families and conjugate prior distributions.
Bayes linear methodology.

Subject-specific Skills:

Ability to solve a range of predictable and unpredictable problems involving Bayesian statistical methodology.
Highly specialised and advanced mathematical skills in the following areas: Modelling, Computation.

Key Skills:

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

Lectures demonstrate what is required to be learned and the application of the theory to practical examples.
Assignments for self-study develop problem-solving skills and enable students to test and develop their knowledge and understanding.
Formatively assessed assignments provide practice in the application of logic and high level of rigour as well as feedback for the students and the lecturer on students' progress.
The end-of-year examination assesses the knowledge acquired and the ability to solve complex and specialised problems.

Teaching Methods and Learning Hours

Activity	Number	Frequency	Duration	Total/Hours
Lectures	40	2 per week for 19 weeks and 2 in term 3	1	40
Preparation and Reading				160

Summative Assessment

Component: Examination		Component Weighting: 100%
Element	Length / duration	Element Weighting	Resit Opportunity
Written examination	3 hours	100%	none

Formative Assessment:

Four written assignments to be assessed and returned. Other assignments are set for self-study and complete solutions are made available to students.

■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University