Please note! Course description is confirmed for two academic years (1.8.2018-31.7.2020), which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.
Upon completing the course, the student
1. is familiar with the most common types of stochastic processes used in the modeling of random phenomena, and is aware of their underlying assumptions,
2. can apply stochastic processes to modeling and analyzing random phenomena,
3. is prepared to extend his/her knowledge to more sophisticated models, for example using the scientific literature in the field.
Schedule: 26.10.2020 - 09.12.2020
Teacher in charge (valid 01.08.2020-31.07.2022): Lasse Leskelä
Teacher in charge (applies in this implementation): Lasse Leskelä
Contact information for the course (applies in this implementation):
CEFR level (applies in this implementation):
Language of instruction and studies (valid 01.08.2020-31.07.2022):
Teaching language: English
Languages of study attainment: English
CONTENT, ASSESSMENT AND WORKLOAD
Random vectors and random processes. Markov chains. Branching processes. Random point patterns and Poisson processes. Population models, queues, and gambling.
Assessment Methods and Criteria
Exam and voluntary homework
Attending lectures 24 h (4)
Attending exercise classes 24 h (4)
Attending and preparing for the exam 2-32 h
Weekly independent study 50-80 h
- L Leskelä. Stochastic processes. Lectures notes 2019.
- DA Levin, Y Peres. Markov Chains and Mixing Times. American Mathematical Society 2017.
- P Brémaud: Markov Chains, Springer 1999.
- VG Kulkarni. Modeling and Analysis of Stochastic Systems. Chapman and Hall/CRC 2016.
Substitutes for Courses
Mat-2.3111 Stochastic Processes
MS-A05XX First course in probability and statistics, MS-A000X Matrix algebra and MS-A02XX Differential and integral calculus 2 or equivalent knowledge.