Academic Year: 
2014/5 
Owning Department/School: 
Department of Mathematical Sciences 
Credits: 
6 
Level: 
Masters UG & PG (FHEQ level 7) 
Period: 
Semester 2

Assessment Summary: 
EX 100% 
Assessment Detail:  
Supplementary Assessment: 
MA40189 Mandatory Extra Work (where allowed by programme regulations)

Requisites: 
Before taking this unit you must take MA40092 
Description: 
Aims & Learning Objectives: Aims: To introduce students to the ideas and techniques that underpin the theory and practice of the Bayesian approach to statistics. Objectives:
Students should be able to formulate the Bayesian treatment and analysis of many familiar statistical problems.
Content: Bayesian methods provide an alternative approach to data analysis, which has the ability to incorporate prior knowledge about a parameter of interest into the statistical model. The prior knowledge takes the form of a prior (to sampling) distribution on the parameter space, which is updated to a posterior distribution via Bayes' Theorem, using the data. Summaries about the parameter are described using the posterior distribution. The Bayesian Paradigm; decision theory; utility theory; exchangeability; Representation Theorem; prior, posterior and predictive distributions; conjugate priors. Tools to undertake a Bayesian statistical analysis will also be introduced. Simulation based methods such as Markov Chain Monte Carlo and importance sampling for use when analytical methods fail.

Programme availability: 
MA40189 is Optional on the following programmes:
Programmes in Natural Sciences
 UXXXAFB01 : BSc(Hons) Natural Sciences (Year 3)
 UXXXAAB02 : BSc(Hons) Natural Sciences with Study year abroad (Year 4)
 UXXXAKB02 : BSc(Hons) Natural Sciences with Year long work placement (Year 4)
Department of Mathematical Sciences
 RSMAAFM16 : Integrated PhD in Statistical Applied Mathematics
 USMAAFB15 : BSc(Hons) Mathematical Sciences (Year 3)
 USMAAAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
 USMAAKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
 USMAAFB13 : BSc(Hons) Mathematics (Year 3)
 USMAAAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
 USMAAKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
 USMAAFM14 : MMath(Hons) Mathematics (Year 3)
 USMAAFM14 : MMath(Hons) Mathematics (Year 4)
 USMAAAM15 : MMath(Hons) Mathematics with Study year abroad (Year 4)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 5)
 USMAAFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
 USMAAAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
 USMAAKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
 TSMAAFM17 : MRes Statistical Applied Mathematics
 TSMAAFM09 : MSc Mathematical Sciences
 TSMAAPM09 : MSc Mathematical Sciences
 TSMAAFM08 : MSc Modern Applications of Mathematics
 TSMAAWM14 : MSc Modern Applications of Mathematics
 TSMAAFM16 : MSc Statistical Applied Mathematics
 TSMAAFL02 : PG Dip Modern Applications of Mathematics
 USMAAFB05 : BSc(Hons) Statistics (Year 3)
 USMAAAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
 USMAAKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)
