Course co-ordinator(s): Dr Seva Shneer (Edinburgh).
Aims:
To introduce stochastic processes used in stochastic and statistical modelling, and to provide an introduction to modern mathematical tools for studying such processes
Detailed Information
Course Description: Link to Official Course Descriptor.
Pre-requisites: none.
Location: Edinburgh.
Semester: 2.
Syllabus:
• Branching process
- Definition
- Survival vs extinction
- Moments for number of individuals in a generation
- Limiting results
- Branching random walks
• Approximations for sums of random variables
• Random Graph models
- Introduction and basic definitions of graphs and associated theory
- Definition of random graph models
- Basic properties of random graph models including Erdos-Reyni random graph, preferential attachment, configuration model
• Percolation and epidemic and data spread over a graph
SCQF Level: 11.
Credits: 15.
Other Information
Help: If you have any problems or questions regarding the course, you are encouraged to contact the course leader.
Canvas: further information and course materials are available on Canvas