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master's thesis
Ergodski teorem i stacionarni procesi
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:120302
Šimon, Ema
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Šimon, E. (2016). Ergodski teorem i stacionarni procesi (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:120302

Šimon, Ema. "Ergodski teorem i stacionarni procesi." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:120302

Šimon, Ema. "Ergodski teorem i stacionarni procesi." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:120302

Šimon, E. (2016). 'Ergodski teorem i stacionarni procesi', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:120302

Šimon E. Ergodski teorem i stacionarni procesi [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:120302

E. Šimon, "Ergodski teorem i stacionarni procesi", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:120302

Metadata
TitleErgodski teorem i stacionarni procesi
AuthorEma Šimon
MentorAnte Mimica (mentor)
Committee memberVjekoslav Kovač (predsjednik povjerenstva)
Committee memberDamir Bakić (član povjerenstva)
Committee memberMiljenko Huzak (član povjerenstva)
Committee memberPavle Goldstein (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj diplomski rad se bavi klasičnim Birkhoff-Hinčinovim ergodskim teoremom te teorijom potrebnom za njegov dokaz. Uz to, uvodi se pojam ergodskog stacionarnog slučajnog procesa te se dokazuje ergodski teorem za takve procese. Na kraju se dokazuje subaditivan ergodski teorem koji je poopćenje oba prethodno navedena rezultata te se daju primjeri korištenja ergodskih teorema.
Abstract (english)
In this graduate thesis we are examining the classical Birkhoff-Hinčin ergodic theorem and the mathematical framework surrounding it. We are also defining ergodic stationary processes and giving the proof for the version of the ergodic theorem concerning those processes. Subadditive ergodic theorem, which is a generalization of the previously mentioned theorems, is given along with its proof and the applications of ergodic theorems are shown on several examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:120302
Study programmeTitle: Mathematical Statistics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-02-13 11:40:21