2023/2024
Markov Chains
Category 'Best Course for Career Development'
Category 'Best Course for Broadening Horizons and Diversity of Knowledge and Skills'
Category 'Best Course for New Knowledge and Skills'
Type:
Mago-Lego
Delivered by:
Big Data and Information Retrieval School
When:
2, 3 module
Open to:
students of one campus
Language:
English
ECTS credits:
6
Contact hours:
68
Course Syllabus
Abstract
The course is an introduction to the theory of Markov chains, an area of modern probability theory widely used in applications. In this course, we will start from the theory of finite state space Markov chains and continue with the general case of Markov chains with arbitrary state space. We will cover various ergodicity results for Markov kernels and relations between them, central limit theorem for Markov chains, and applications of Markov chains. In terms of applications, we will consider the Markov Chain Monte Carlo methods and study some most classical examples of algorithms of this family.