Module manager: Andrew Baczkowski
Email: A.J.Baczkowski@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2014/15
Students require a solid background in university level maths and statistics (e.g. calculus, complex numbers, series, statistical analysis of random errors, sample distributions and least-squares regression).
| MATH1150 | Mathematics for Geophysical Sciences 2 |
| MATH1460 | Mathematics for Geophysical Sciences 1 |
| SOEE2250 | Numerical Methods & Statistics |
| MATH2715 | Statistical Methods |
This module is not approved as a discovery module
This module lays the foundations for the analysis of statistical models, and covers the analysis of continuous distributions, the construction of appropriate models and the development of methods to gain information about unknown parameters with an emphasis on the use of likelihood methods.
On completion of this module, students should be able to: manipulate univariate and bivariate probability distributions; use univariate moment generating functions to derive the classic limit theorems of probabilty; understand the principles of statistical modelling; deal with robustness problems in statistical estimation; carry out Bayesian statistical modelling
1. Moments and transformations for univariate probability densities.
2. Conditional and marginal distributions for bivariate distributions.
3. Moment generating functions; law of large numbers; central limit theorem.
4. Issues in statistical modelling.
5. Estimation; method of moments; maximum likelihood.
6. Hypothesis testing.
7. Robustness.
8. Bayesian modelling.
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Class tests, exams and assessment | 1 | 2 | 2 |
| Lecture | 22 | 1 | 22 |
| Tutorial | 10 | 1 | 10 |
| Private study hours | 66 | ||
| Total Contact hours | 34 | ||
| Total hours (100hr per 10 credits) | 100 | ||
Completion of coursework (20 hours).
Background reading for lectures (22 x 1 hours).
Tutorial preparation (10 x 0.5 hours).
Exam preparation and revision (1 x 19 hours).
Continuous monitoring during example classes with immediate formative assessment and feedback using marked example sheets. Coursework provides a mixture of summative (counts towards 15% of the final mark) and formative assessment.
| Assessment type | Notes | % of formal assessment |
|---|---|---|
| Practical | Mathematical Problems | 20 |
| Total percentage (Assessment Coursework) | 20 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
| Exam type | Exam duration | % of formal assessment |
|---|---|---|
| Standard exam (closed essays, MCQs etc) | 2.0 Hrs Mins | 80 |
| Total percentage (Assessment Exams) | 80 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
The reading list is available from the Library website
Last updated: 3/23/2015
Errors, omissions, failed links etc should be notified to the Catalogue Team