MATH1815 Modelling in Statistics and Probability
10 Credits Class Size: 90
Module manager: Dr C. Gill
Email: christin@maths.leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running
2010/11
Pre-requisite qualifications
MATH1715 is a pre-requisite or a co-requisite.
This module is approved as an Elective
Module summary
Probability theory forms the basis of the statistical methodology which is now widely applied in the modern scientific and technological world.
This module introduces simple computer simulation techniques to explain and illustrate some of the most basic concepts of probability and statistics, and to apply them in areas such as sampling, time series, quality control and reliability.
Objectives
On completion of this module, students should be able to:
(a) undertake simple data manipulation using re-expression
(b) carry out Monte Carlo simulation on a variety of topics
(c) apply statistical methods in time series, quality control and reliability
(d) use a statistical computing package and write a report.
Syllabus
1. Random numbers, checks on randomness and independence.
2. Monte Carlo simulation, models of chance, applications and examples including genetics, reliability, limit theorems.
3. Random sampling with and without replacement, binomial approximation to hypergeometric distribution.
4. Poisson process, Poisson approximation to binomial distribution, exponential model of inter-arrival times.
5. Quality control, attribute sampling, OC curve, sampling plans, control charts.
Teaching Methods
Delivery type |
Number |
Length hours |
Student hours |
Lecture |
22 |
1 |
22 |
Practical |
2 |
1 |
2 |
Tutorial |
5 |
1 |
5 |
Private study hours |
71 |
Total Contact hours |
29 |
Total hours (100hr per 10 credits) |
100 |
Methods of Assessment
Coursework
Assessment type |
Notes |
% of formal assessment |
In-course Assessment |
. |
20 |
Total percentage (Assessment Coursework) |
20 |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Exams
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
Reading List
The reading list is available from the Library website
Last updated: 4/1/2011
Errors, omissions, failed links etc should be notified to the Catalogue Team