MTH6141 - Random Processes - 2023/24
Topic | Name | Description |
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Module Information | Key information about how the module will run. |
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Lecture Notes | Full Notes (Sections 1-9.5, last updated 14/12/23) | |
Week 1 - Markov Chain Basics | Warm-up Problems | This module builds on your first and second year probability modules. Have a go at this sheet to check you are up to speed with the background material you will need. This sheet will be used in the Week 1 seminars. |
Problem Sheet 1 | This sheet will not be assessed. We will discuss selected parts in the seminars in Week 2. |
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Problem Sheet 1 Solutions | ||
Week 2 - First Step Analysis | Problem Sheet 2 | This sheet will not be assessed. We will discuss selected parts in the seminars in Week 3. |
Problem Sheet 2 Solutions | ||
Week 3 - Long-term Behaviour I | Problem Sheet 3 | This sheet will not be assessed (but see below for one part to submit). We will discuss selected questions in the seminars in Week 4. |
Problem Sheet 3 Solutions | ||
Week 4 - Long-term behaviour II | Problem Sheet 4 | |
Problem Sheet 4 Solutions | ||
Week 5 - More on limiting and equililbrium distributions/Recurrence and Transience | Problem Sheet 5 | |
Problem Sheet 5 Solutions | ||
Assessment 1 (small update to 1(b) 26/10/2023) | This is the first sheet for Assessment. Details of what you need to do are in the document. Submission will be via the tool in the Week 7 topic (to appear). This assessment contributes 10% towards your mark for the module. |
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Solutions to Assessment 1 | ||
Week 6 - Recurrence and Transience | Problem Sheet 6 | |
Problem Sheet 6 Solutions | ||
Week 8 - Poisson Process Definition | Problem Sheet 7 | |
Problem Sheet 7 Solutions | ||
Week 9 - More on the Poisson Process | Problem Sheet 8 | |
Problem Sheet 8 Solutions | ||
Assessment 2 (small update to Question 1 30/11/2023) | This is the second sheet for Assessment. Details of what you need to do are in the document. Submission will be via the tool in the Week 11 topic (to appear). This assessment contributes 10% towards your mark for the module. See the Student Forum for posts answering some student questions on this Assessment. |
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Solutions to Assessment 2 | ||
Week 10 - Birth Processes | Problem Sheet 9 | |
Problem Sheet 9 Solutions | ||
Week 11 - Continuous-time Markov Chains | Problem Sheet 10 | |
Problem Sheet 10 Solutions | ||
Assessment information | Exam Guidance | Information on what you can expect in the exam and how to prepare for it. |
January 2022 Exam Solutions | ||
January 2023 Exam Solutions |