ST911 Fundamentals of Modern Statistical Inference
ST91115 Fundamentals of Modern Statistical Inference
Introductory description
This module runs in Term 1 and is usually taken by PhD students in the Warwick Centre for Doctoral Training in Mathematics and Statistics.
Other PhD students should consult the module leader if they are interested in taking this module.
This module is not available to undergraduate or postgraduate taught students.
Module aims
The aims of this module are to provide a basic introduction to ideas of formal statistical inference for students with a strong mathematical background and undergraduate performance. The course will provide all students with a basic background level of knowledge of inference and, others with a platform to use and research in Statistics within their PhD. The course will reflect the modern trends in Statistical Inference towards powerful computationally intensive methods.
Outline syllabus
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
Statistical distribution theory
Methods of inference
Maximum likelihood estimation
Elements of Bayesian Inference
Decision Theory Inference
Basic simulation methodologies
Markov Chain MonteCarlo methods
Learning outcomes
By the end of the module, students should be able to:
 Understand key ideas of parameter estimation.
 Understand how to apply Statistical tools in various applied problems.
 Develop suitable strategies for the extraction of parameters from data sets.
Indicative reading list
 R. Keener, "Theoretical Statistics"
 M.J. Schervish, "Theory of Statistics"
 J. Shao, "Mathematical Statistics"
 L. Wasserman, "All of Statistics"
View reading list on Talis Aspire
Subject specific skills
TBC
Transferable skills
TBC
Study time
Type  Required 

Lectures  30 sessions of 1 hour (20%) 
Private study  120 hours (80%) 
Total  150 hours 
Private study description
Weekly revision of lecture notes and materials, wider reading, practice exercises and preparing for examination.
Costs
No further costs have been identified for this module.
You do not need to pass all assessment components to pass the module.
Assessment group C2
Weighting  Study time  

Assessed exercises  50%  
2 x assessed exercises due at evenly spaced intervals during term 1. 

Oral examination  50%  
The oral examination will take place in the week following the end of term 1. 
Feedback on assessment
Written feedback will be provided for the problem sets and oral examination within 20 working days.
Courses
This module is Core for:
 Year 1 of RSTAG4P0 Postgraduate Research Statistics
This module is Core optional for:
 Year 1 of TMAAG3G2 Postgraduate Taught Mathematics and Statistics
This module is Optional for:

TCOSF3P6 Complex Systems Science (Erasmus Mundus)
 Year 2 of F3P6 Complex Systems Science
 Year 2 of F3PJ Complex Systems Science (Ecole Polytechnique/Chalmers University)
 Year 2 of F3PK Complex Systems Science (Ecole Polytechnique/Gothenburg)

TCOSF3P7 Complex Systems Science (Erasmus Mundus) (University of Warwick)
 Year 2 of F3PH Complex Systems Science (Double Degree with Chalmers University)
 Year 2 of F3PG Complex Systems Science (Double Degree with Ecole Polytechnique)
 Year 2 of F3PJ Complex Systems Science (Ecole Polytechnique/Chalmers University)
 Year 2 of F3PK Complex Systems Science (Ecole Polytechnique/Gothenburg)
 Year 2 of F3P7 Complex Systems Science (University of Warwick)
 Year 1 of TMAAG1P9 Postgraduate Taught Interdisciplinary Mathematics
 Year 1 of TMAAG1PD Postgraduate Taught Interdisciplinary Mathematics (Diploma plus MSc)
 Year 1 of TMAAG1P0 Postgraduate Taught Mathematics
 Year 1 of TMAAG1PC Postgraduate Taught Mathematics (Diploma plus MSc)
This module is Option list A for:
 Year 1 of TCOSF3P6 Complex Systems Science (Erasmus Mundus)
 Year 1 of RMAAG1PG Postgraduate Research Mathematics of Systems
This module is Option list B for:
 Year 1 of TMAAG1P9 Postgraduate Taught Interdisciplinary Mathematics
 Year 1 of TMAAG1P0 Postgraduate Taught Mathematics
This module is Option list C for:

TMAAG1PD Postgraduate Taught Interdisciplinary Mathematics (Diploma plus MSc)
 Year 1 of G1PD Interdisciplinary Mathematics (Diploma plus MSc)
 Year 2 of G1PD Interdisciplinary Mathematics (Diploma plus MSc)

TMAAG1PC Postgraduate Taught Mathematics (Diploma plus MSc)
 Year 1 of G1PC Mathematics (Diploma plus MSc)
 Year 2 of G1PC Mathematics (Diploma plus MSc)
Catalogue 
Resources 
Feedback and Evaluation 
Grade Distribution 
Timetable 
Assessments dates for Statistics modules, including coursework and examinations, can be found in the Statistics Assessment Handbook.