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Course, academic year 2024/2025
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Heavy-Tailed Distributions - NMTP570
Title: Rozdělení s těžkými chvosty
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Guarantor: prof. Lev Klebanov, DrSc.
Class: M Mgr. PMSE
M Mgr. PMSE > Volitelné
Classification: Mathematics > Probability and Statistics
Is interchangeable with: NSTP062
Annotation -
The course is devoted to studying the theory of heavy tailed distributions and to dealing with stochastic models based on such distributions. Data with heavy tails have been collected in such fields as economics, telecommunications, physics and biology. The theory of heavy tailed distributions is also connected with the theory of branching processes.
Last update: T_KPMS (16.05.2013)
Aim of the course -

The aim of the lecture is to give an introduction to the theory of stochastic models with heavy tailed distributions.

Last update: T_KPMS (16.05.2013)
Course completion requirements -

Oral exam.

Last update: Zichová Jitka, RNDr., Dr. (18.05.2024)
Literature - Czech

Klebanov, L.B.: Heavy tailed distributions. Matfyzpress, Praha, 2003.

Last update: T_KPMS (16.05.2013)
Teaching methods -

Lecture.

Last update: T_KPMS (16.05.2013)
Requirements to the exam -

According to syllabus.

Last update: Zichová Jitka, RNDr., Dr. (18.05.2024)
Syllabus -

1. Main examples of heavy tailed distributions.

2. Stable distributions.

3. Multivariate stable distributions.

4. Infinite divisible and stable distributions.

5. Il-posed problems.

Last update: T_KPMS (16.05.2013)
Entry requirements -

Measure theory based probability and mathematical statistics

Last update: Zichová Jitka, RNDr., Dr. (19.06.2019)
 
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