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master's thesis
Vjerojatnosne razdiobe u nogometu
Zagreb: University of Zagreb, Faculty of Science, 2021. urn:nbn:hr:217:541367
Brkić, Filip
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Brkić, F. (2021). Vjerojatnosne razdiobe u nogometu (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:541367

Brkić, Filip. "Vjerojatnosne razdiobe u nogometu." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:541367

Brkić, Filip. "Vjerojatnosne razdiobe u nogometu." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:541367

Brkić, F. (2021). 'Vjerojatnosne razdiobe u nogometu', Master's thesis, University of Zagreb, Faculty of Science, accessed 20 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:541367

Brkić F. Vjerojatnosne razdiobe u nogometu [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2021 [cited 2024 December 20] Available at: https://urn.nsk.hr/urn:nbn:hr:217:541367

F. Brkić, "Vjerojatnosne razdiobe u nogometu", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:217:541367

Metadata
TitleVjerojatnosne razdiobe u nogometu
Title (english)Probability distributions in football
AuthorFilip Brkić
MentorFranka Miriam Brückler (mentor)
Committee memberFranka Miriam Brückler (predsjednik povjerenstva)
Committee memberZrinka Franušić (član povjerenstva)
Committee memberTomislav Berić (član povjerenstva)
Committee memberSnježana Lubura Strunjak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2021-03-05, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom su radu opisane neke osnovne primjene vjerojatnosnih razdioba u jednom od najpopularnijih sportova, nogometu. Rad je podijeljen u četiri poglavlja u kojima su opisane primjene binomne, Poissonove i normalne razdiobe. U prvom poglavlju su opisani i definirani osnovni pojmovi iz teorije vjerojatnosti. U drugom poglavlju se opisuje primjena binomne razdiobe na konkretne nogometne situacije, točnije na izračunavanje vjerojatnosti određenih rezultata utakmica uz pretpostavku poznavanja ukupnog broja pogodaka i prosječnih brojeva pogodaka koje su momčadi dale u nekom prethodnom razdoblju. U trećem poglavlju koristi se Poissonova razdioba za prognoziranje vjerojatnosti ishoda nogometne utakmice. U posljednjem poglavlju koristimo normalnu razdiobu za procjenu vjerojatnosti da je prvak neke lige stvarno bio najbolji.
Abstract (english)
In this thesis we describe some basic applications of probability distributions in one of the most popular sports, football (soccer). The thesis is divided in four chapters, giving applications of binomial, Poisson and normal distribution. In the first chapter fundamental probability concepts are described. In the second chapter we describe the application of the binomial distribution in concrete football situations, more precisely for calculating probabilities of specific results given a total number of goals scored and average numbers of goals of the teams in a chosen previous period. In the third chapter we use the Poisson distribution to estimate probabilities of outcomes of a football match. In the last chapter we use the normal distribution to estimate the probability that the league champion was truly the best team.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:541367
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-03-23 12:31:19