MU:MU24007 Stochastic Processes - Course Information
MU24007 Stochastic Processes
Mathematical Institute in OpavaWinter 2017
- Extent and Intensity
- 2/1/0. 5 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Samuel Joshua Roth, Ph.D. (lecturer)
Mgr. Samuel Joshua Roth, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Jaroslav Smítal, DrSc.
Mathematical Institute in Opava - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics (programme MU, N1101)
- Course objectives
- The main goal of the course is to introduce students to the basic methods in the analysis of stochastic processes, used in mathematical models in the theory of finance. The main focus is on random walks and Wiener processes. Students successfully completing the course will be able to use these processes in mathematical modelling and techniques in their analysis.
- Syllabus
- Random walk
Reflection principle
Markovian property
Polya theorem
Arcsin laws
Discrete martingales
Filtrations
Martingale transformations
Wiener process
Cieselski's construction of Brownian motion
Continuous martingales and filtrations
- Random walk
- Literature
- Language of instruction
- Czech
- Further Comments
- The course can also be completed outside the examination period.
- Enrolment Statistics (Winter 2017, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2017/MU24007