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master's thesis
Nejednakosti u teoriji vjerojatnosti
2024. urn:nbn:hr:126:110674
Terzić, Marina
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Cite this document

Terzić, M. (2024). Nejednakosti u teoriji vjerojatnosti (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:110674

Terzić, Marina. "Nejednakosti u teoriji vjerojatnosti." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:110674

Terzić, Marina. "Nejednakosti u teoriji vjerojatnosti." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:110674

Terzić, M. (2024). 'Nejednakosti u teoriji vjerojatnosti', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:110674

Terzić M. Nejednakosti u teoriji vjerojatnosti [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:126:110674

M. Terzić, "Nejednakosti u teoriji vjerojatnosti", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:110674

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Metadata
TitleNejednakosti u teoriji vjerojatnosti
Title (english)Inequalities In Probability Theory
AuthorMarina Terzić
MentorIvan Papić (mentor)
Committee memberNenad Šuvak (predsjednik povjerenstva)
Committee memberIvan Papić (član povjerenstva)
Committee memberDanijel Grahovac (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-10-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
Ovaj rad donosi pregled ključnih vjerojatnosnih nejednakosti koje imaju velik značaj u analizama slučajnih varijabli, izvođenju graničnih teorema i sličnim problemima teorije vjerojatnosti. U prvom dijelu rada definirani su osnovni pojmovi te se upoznajemo s osnovnim nejednakostima koje se odnose na vjerojatnosti događaja. U središnjem dijelu analiziramo neke od najpoznatijih vjerojatnosnih nejednakosti, s posebnim naglaskom na one vezane uz momente slučajnih varijabli i ocjene repnih vjerojatnosti. Sve nejednakosti su potkrijepljene iskazima i dokazima ključnih tvrdnji. Naposljetku proučavamo i neke primjene spomenutih nejednakosti u konkretnim problemima.
Abstract (english)
This thesis provides an overview of key probability inequalities that are crucial in the analysis of random variables, the proof of limit theorems, and similar problems in probability theory. The first part of the thesis defines fundamental terms and introduces basic inequalities related to event probabilities. In the main section, we analyze some of the most well-known probability inequalities, with a special emphasis on those related to moments of random variables and estimates of tail probabilities. All inequalities are supported by statements and proofs of key theorems and propositions. Lastly, we review some applications of these inequalities in specific problems.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:110674
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical 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
Terms of useLicence In copyright icon
Created on2024-10-29 12:29:08