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master's thesis
Uvod u Bayesovu statistiku
Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:099162
Horvat, Tamara Anna
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Horvat, T. A. (2020). Uvod u Bayesovu statistiku (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:099162

Horvat, Tamara Anna. "Uvod u Bayesovu statistiku." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:099162

Horvat, Tamara Anna. "Uvod u Bayesovu statistiku." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:099162

Horvat, T. A. (2020). 'Uvod u Bayesovu statistiku', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:099162

Horvat TA. Uvod u Bayesovu statistiku [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 December 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:099162

T. A. Horvat, "Uvod u Bayesovu statistiku", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:099162

Metadata
TitleUvod u Bayesovu statistiku
Title (english)Introduction to Bayesian Statistics
AuthorTamara Anna Horvat
MentorIvan Ivec (mentor)
Committee memberIvan Ivec (predsjednik povjerenstva)
Committee memberNenad Antonić (član povjerenstva)
Committee memberMarko Erceg (član povjerenstva)
Committee memberSonja Štimac (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2020-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Tema ovog rada uvod je u Bayesovsko statističko zaključivanje. Nakon definicija osnovnih pojmova iz područja statistike i vjerojatnosti, naveden je i dokazan Bayesov teorem te je prikazana njegova uporaba na nekoliko primjera. Navedeni su osnovni elementi Bayesovskog zaključivanja, dana su objašnjenja pojmova apriorne i aposteriorne distribucije te je dana definicija funkcije vjerodostojnosti, a objašnjena je i njezina važnost. Navedene su različite distribucije koje su potkrijepljene primjerima, a navedeni su i primjeri Bayesovskog zaključivanja za binomnu, Poissonovu te normalnu razdiobu. Konačno, navedena je i usporedba Bayesove i klasične frekvencijske statistike.
Abstract (english)
The topic of this graduate thesis is the introduction to Bayesian statistical inference. After the definitions of basic terms in the field of statistics and probability are given, the Bayesian theorem is proved and its use is shown on several examples. In the following chapters, the basic elements of Bayesian reasoning are given along with concept explanations of prior and posterior distributions. The credibility function is defined and its overall importance is explained. Different distributions are defined and explained along with examples, and different examples of Bayesian inference for binomial, Poisson and normal distribution are presented. The final chapter offers a comparison of Bayesian and classical frequency statistics.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:099162
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 on2021-02-25 12:38:24