Aspekty pojmu nezávislost v teorii pravděpodobnosti

• Thesis title in Czech: Aspekty pojmu nezávislost v teorii pravděpodobnosti
• Thesis title in English: Aspects of the notion of independence in probability theory
• Key words: Nezávilost|Náhodné jevy|Italský problém
• English key words: Independence|Random events|Italian problem
• Academic year of topic announcement: 2022/2023
• Thesis type: Bachelor's thesis
• Thesis language: čeština
• Department: Department of Probability and Mathematical Statistics (32-KPMS)
• Supervisor: prof. RNDr. Ivan Mizera, CSc.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 08.10.2022
• Date of assignment: 10.11.2022
• Confirmed by Study dept. on: 02.12.2022
• Date and time of defence: 11.09.2023 08:20
• Date of electronic submission: 11.05.2023
• Date of submission of printed version: 24.07.2023
• Date of proceeded defence: 11.09.2023
• Opponents: doc. RNDr. Zbyněk Pawlas, Ph.D.

Guidelines

Cílem práce bude nastudovat a popsat jemné aspekty definice pojmu nezávislost náhodných jevů a náhodných veličin v teorii pravděpodobnosti.

References

A. Rényi: Teorie pravděpodobnosti. Praha, ČSAV, 1972.

V. Balek, I. Mizera: On the logical independence of the identities defining the stochastic independence of random events. Statistics & Probability Letters, 1997, Vol.31 (4), p.281-284.

Preliminary scope of work in English

The thesis is an opportunity to master certain details of elementary probabilistic notions, typically not that much covered in usual courses. Recommended for those who would like to finesse their knowledge of probability.