Náhodné měřitelné množiny
Thesis title in Czech: |
Náhodné měřitelné množiny |
Thesis title in English: |
Random measurable sets |
Key words: |
Prostor L^1, náhodná množina, slabá konvergence, měřitelnost |
English key words: |
L^1 space, random set, weak convergence, measurability |
Academic year of topic announcement: |
2018/2019 |
Thesis type: |
Bachelor's thesis |
Thesis language: |
čeština |
Department: |
Mathematical Institute of Charles University (32-MUUK) |
Supervisor: |
prof. RNDr. Jan Rataj, CSc. |
Author: |
hidden - assigned and confirmed by the Study Dept. |
Date of registration: |
04.09.2018 |
Date of assignment: |
04.09.2018 |
Confirmed by Study dept. on: |
19.09.2018 |
Date and time of defence: |
04.09.2019 09:00 |
Date of electronic submission: | 12.07.2019 |
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Date of submission of printed version: | 19.07.2019 |
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Date of proceeded defence: |
04.09.2019 |
Opponents: |
doc. RNDr. Zbyněk Pawlas, Ph.D. |
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Guidelines |
Student se seznámí s pojmem náhodné uzavřené množiny i s pojmem náhodné měřitelné množiny a bude zkoumat vztahy mezi těmito dvěma pojmy. |
References |
I. Molchanov, Theory of Random Sets (Springer, New York, 2005).
B. Galerne, R. Lachièze-Rey, Random measurable sets and covariogram realizability problems, Adv. in Appl. Probab. 47 (2015), no. 3, 611–639 |