Postgraduate Course: Statistical Methods (MATH11070)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Not available to visiting students |
| Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) |
Credits | 15 |
| Home subject area | Mathematics |
Other subject area | Financial Mathematics |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | This course aims to provide postgraduate students with a broad knowledge of the principal areas of mathematical statistics and statistical methods widely used in actuarial science and finance. It is the intention that the course will be available to postgraduate students on other programmes who would benefit. |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
|
Co-requisites | |
| Prohibited Combinations | Students MUST NOT also be taking
Statistical Inference (MATH11129)
|
Other requirements | MSc Financial Mathematics students only. |
| Additional Costs | None |
Course Delivery Information
|
| Delivery period: 2013/14 Semester 1, Not available to visiting students (SS1)
|
Learn enabled: No |
Quota: None |
Web Timetable |
Web Timetable |
| Course Start Date |
17/09/2013 |
| Breakdown of Learning and Teaching activities (Further Info) |
Total Hours:
150
(
Lecture Hours 33,
Seminar/Tutorial Hours 11,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 3,
Directed Learning and Independent Learning Hours
100 )
|
| Additional Notes |
Examination takes place at Heriot-Watt University.
|
| Breakdown of Assessment Methods (Further Info) |
Written Exam
100 %,
Coursework
0 %,
Practical Exam
0 %
|
| No Exam Information |
Summary of Intended Learning Outcomes
On completion of this course the student should be able to:
! demonstrate knowledge of, and a critical understanding of, statistical methodologies (including the main concepts and methods of inference and modelling)
! understand and apply a range of statistical techniques based on the main theories and concepts which comprise the syllabus, including the central limit theorem
! perform basic probability calculations
! find/calculate moments and expected values of random variables and functions of random variables; use generating functions
! determine properties of estimators: efficiency, Cramer-Rao lower bound, (approx.) large sample distributions of MLEs
! perform inference on parameter estimates, including constructing confidence intervals and testing hypotheses on the values of parameters
! fit a linear regression model and critically evaluate other proposed models; test hypotheses concerning correlation coefficients
! show an awareness of how different statistical models and techniques can be applied to financial problems
! communicate meaningfully and productively with others (including practitioners and professionals in the financial services industry and elsewhere) on matters relating to and/or requiring the use of statistical methods
|
Assessment Information
| See 'Breakdown of Assessment Methods' and 'Additional Notes' above. |
Special Arrangements
| MSc Financial Mathematics students only. |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Data summary
Probability.
Random variables, special distributions.
Multivariate distributions and linear combinations.
Sampling distributions, central limit theorem, t and F distributions.
Estimation: properties of estimators, methods of constructing estimators.
Interval estimation.
Hypothesis testing.
Linear relationships: regression and correlation. |
| Transferable skills |
Not entered |
| Reading list |
Main Texts:
John E Freund's Mathematical Statistics: (7th Ed.), Miller & Miller, Prentice-Hall
New Cambridge Statistical Tables: (2nd Ed.), Lindley & Scott, C.U.P.
Formulae and Tables for Examinations of the The Faculty of Actuaries and the Institute of Actuaries, 2002
Other Texts:
Introduction to Probability Theory and Statistical Inference: (3rd Ed.), H.J.Larson, Wiley
Introduction to Probability and Statistics: (8th Ed.), W. Mendenhall and R.J.Beaver, PWS, Kent
Essential Statistics (4th or later edition):Rees, Chapman and Hall/CRC |
| Study Abroad |
Not Applicable. |
| Study Pattern |
See 'Breakdown of Learning and Teaching activities' above. |
| Keywords | StMe |
Contacts
| Course organiser | Dr Sotirios Sabanis
Tel: (0131 6)50 5084
Email: S.Sabanis@ed.ac.uk |
Course secretary | Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
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