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master's thesis
Funkcije izvodnice u teoriji vjerojatnosti
2022. urn:nbn:hr:126:912792
Penava, Petra
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Penava, P. (2022). Funkcije izvodnice u teoriji vjerojatnosti (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:912792

Penava, Petra. "Funkcije izvodnice u teoriji vjerojatnosti." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:912792

Penava, Petra. "Funkcije izvodnice u teoriji vjerojatnosti." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:912792

Penava, P. (2022). 'Funkcije izvodnice u teoriji vjerojatnosti', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 24 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:912792

Penava P. Funkcije izvodnice u teoriji vjerojatnosti [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 December 24] Available at: https://urn.nsk.hr/urn:nbn:hr:126:912792

P. Penava, "Funkcije izvodnice u teoriji vjerojatnosti", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:912792

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Metadata
TitleFunkcije izvodnice u teoriji vjerojatnosti
Title (english)Generating Functions in Probability Theory
AuthorPetra Penava
MentorIvan Papić (mentor)
Committee memberMirta Benšić (predsjednik povjerenstva)
Committee memberIvan Papić (član povjerenstva)
Committee memberNenad Šuvak (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-05-12, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
Ovaj rad nas upoznaje s funkcijama izvodnicama vjerojatnosti, momenata, kumulanata te karakterističnim funkcijama i njihovim značajnim svojstvima koje nam olakšavaju rad sa slučajnim varijablama. Sve su navedene funkcije definirane i analizirane kroz iskaze i dokaze važnih tvrdnji. U raznim primjerima prikazano je kako pomoću funkcija izvodnica dolazimo do momenata i distribucija sume nezavisnih slučajnih varijabli kao i međusobna povezanost sve četiri navedene funkcije izvodnice.
Abstract (english)
This paper introduces probability generating functions, moment generating functions, cumulant generating functions and characteristic functions along with their significant properties that can facilitate the work with random variables. All these functions are defined and analysed through important statements and proofs. The way of calculating moments and sums of independent random variables, as well as the connection between all four stated generating functions are presented through various examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:912792
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 on2022-05-16 06:47:10