Subject: Large deviations principles (17.D0M51L )
Native organizations units: Department of Fundamentals Sciences
Study programmes of the course:
| Type of studies | Title |
|---|---|
| Doctoral Academic Studies | Mathematics in Engineering (Godina: 1, Summer) |
| Doctoral Academic Studies | Mathematics in Engineering (Godina: 1, Summer) |
Educational goal:
The objective of the course is to acquire basic knowledge in the field of large deviations principle. Student should be able to apply the acquired knowledge from the field of large deviations principle in in image processing, statistical mechanics, encoding theory.
Educational outcome:
Student should acquire basic knowledge from the large deviation theory and the large deviations of processes on three levels. The students can use the acquired knowledge in engineering subjects and in practice, to develop and solve mathematical models using the knowledge of large deviations theory.
Course content:
The course content includes the following topics. 1) Probability theory 2) Stochastic processes 3) Definition of large deviations principles 4) Large deviation principle for stochastic process 5) Some applications of large deviations principles
Teaching methods:
Lectures. Consultations. The lectures are organized in combined form. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. In addition to lectures there are regular consultations. A students writes a seminar paper in the filed of application of large deviation theory in the field of their scientific interest and gives an oral presentation related to it. Through study and research work a student works independently on getting deeper understanding of the subject matter through study of the scientific journals and other relevant literature. Working with the course teacher, the students are prepared for independent work on writing a scientific paper.
Literature:
| Authors | Title | Year | Publisher | Language |
|---|---|---|---|---|
| Mališić, J. | Slučajni procesi | 1989 | Građevinska knjiga, Beograd | Serbian language |
| 1986 | English | |||
| 1988 | English | |||
| 2006 | English |
Knowledge evaluation:
| Course activity | Pre-examination | Obligations | Number of points |
|---|---|---|---|
| Theoretical part of the exam | No | Yes | 70.00 |
| Term paper | Yes | Yes | 30.00 |
Lecturers:
doc. dr Duraković Nataša
Assistant Professor
Study research work
prof. dr Grbić Tatjana
Full Professor
Lectures
prof. dr Grbić Tatjana
Full Professor
Study research work
doc. dr Duraković Nataša
Assistant Professor
Lectures
prof. dr Mihailović Biljana
Full Professor
Study research work
prof. dr Mihailović Biljana
Full Professor
Lectures
Faculty of Technical Sciences
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Contact:
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© 2024. Faculty of Technical Sciences.