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master's thesis
Blackwellov teorem obnavljanja
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:538700
Banić, Barbara
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Banić, B. (2019). Blackwellov teorem obnavljanja (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:538700

Banić, Barbara. "Blackwellov teorem obnavljanja." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:538700

Banić, Barbara. "Blackwellov teorem obnavljanja." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:538700

Banić, B. (2019). 'Blackwellov teorem obnavljanja', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 June 2024, https://urn.nsk.hr/urn:nbn:hr:217:538700

Banić B. Blackwellov teorem obnavljanja [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 June 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:538700

B. Banić, "Blackwellov teorem obnavljanja", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:538700

Metadata
TitleBlackwellov teorem obnavljanja
AuthorBarbara Banić
MentorBojan Basrak (mentor)
Committee memberBojan Basrak (predsjednik povjerenstva)
Committee memberMiljenko Huzak (član povjerenstva)
Committee memberSiniša Slijepčević (član povjerenstva)
Committee memberHrvoje Šikić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Cilj ovog rada je bio navesti neke osnovne pojmove i rezultate teorije obnavljanja te prezentirati dokaz Blackwellovog teorema obnavljanja. U prvom poglavlju smo se prisjetili nekih definicija i rezultata koji su korišteni u ostatku rada. U drugom poglavlju smo uveli neke osnovne pojmove i iskazali neke osnovne rezultate teorije obnavljanja. Zatim je objašnjena direktna Riemann integrabilnost te su iskazani neki uvjeti kada je ona ekvivalentna s Riemann integrabilnošću. Nakon toga smo iskazali ekvivalentne oblike teorema obnavljanja te pokazali njihovu ekvivalenciju. Na kraju smo pokazali da vrijedi Blackwellov teorem obnavljanja tako da smo prezentirali dokaz jednog od njemu ekvivalentnih oblika.
Abstract (english)
The goal of this report was to list some basic renewal theory results and present a proof of Blackwell’s renewal theorem. In the first chapter we listed some definitions and results used in the rest of the report. In the second chapter we introduced some basic renewal theory definitions and results. Next, we introduced the concept of direct Riemann integrability and conditions under which it is equivalent to Riemann integrability. After that we listed equivalent forms of renewal theorem and showed their equivalence. In the end we showed that Blackwell’s renewal theorem holds by presenting the proof of one of the equivalent forms of the renewal theorem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:538700
Study programmeTitle: Finance and Business Mathematics
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
Embargo expiration date: 2020-07-09
Terms of useLicence In copyright icon
Created on2020-01-09 12:26:54