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undergraduate thesis
Funkcije izvodnice vjerojatnosti
2021. urn:nbn:hr:126:391244
Škugor, Vedran
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Probability and Mathematical Statistics Research Group

Cite this document

Škugor, V. (2021). Funkcije izvodnice vjerojatnosti (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:391244

Škugor, Vedran. "Funkcije izvodnice vjerojatnosti." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:391244

Škugor, Vedran. "Funkcije izvodnice vjerojatnosti." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:391244

Škugor, V. (2021). 'Funkcije izvodnice vjerojatnosti', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 17 May 2022, https://urn.nsk.hr/urn:nbn:hr:126:391244

Škugor V. Funkcije izvodnice vjerojatnosti [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2022 May 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:391244

V. Škugor, "Funkcije izvodnice vjerojatnosti", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:391244

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Metadata
TitleFunkcije izvodnice vjerojatnosti
Title (english)Probability Generating Functions
AuthorVedran Škugor
MentorIvan Papić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Probability and Mathematical Statistics Research Group)
Osijek
Defense date and country2021-09-17, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
Tema ovog rada su funkcije izvodnice vjerojatnosti. Za početak ćemo se prisjetiti nekih osnovnih pojmova iz teorije vjerojatnosti, a onda ćemo reći nešto više o samim funkcijama izvodnicama vjerojatnosti. Definirat ćemo funkcije izvodnice, reći nešto o njihovim svojstvima, izračunat ćemo ih za razne diskretne distribucije, primjerice diskretnu uniformnu distribuciju, Bernoullijevu, binomnu, Poissonovu. Nakon toga ćemo ih iskoristiti za izračun poznatih numeričkih karakteristika (npr. očekivanja i varijance). Pokazat ćemo da je funkcija izvodnica sume nezavisnih slučajnih varijabli produkt pripadnih funkcija izvodnica.
Abstract (english)
The topic of this bachelor’s thesis is probability generating functions. We will start off by recalling some basic definitions concerning probability theory. We will define probability generating functions, state some of their properties, calculate them for various discrete distributions, such as discrete uniform distribution, Bernoulli distribution, binomial distribution, Poisson distribution.Then we will use them for calculation of numerical characteristics (for example expectation and variance). We will prove that the probability generating function of the sum of the independent random variables is equal to the product of those probability generating functions.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:391244
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2021-09-21 10:22:55