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master's thesis
Bayesovsko zaključivanje za standardnu devijaciju
Zagreb: University of Zagreb, Faculty of Science, 2021. urn:nbn:hr:217:125120
Bunjevac, Maša
University of Zagreb
Faculty of Science

Institutional repository: Repository of the Faculty of Science

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Bunjevac, M. (2021). Bayesovsko zaključivanje za standardnu devijaciju (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:125120

Bunjevac, Maša. "Bayesovsko zaključivanje za standardnu devijaciju." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:125120

Bunjevac, Maša. "Bayesovsko zaključivanje za standardnu devijaciju." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:125120

Bunjevac, M. (2021). 'Bayesovsko zaključivanje za standardnu devijaciju', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:125120

Bunjevac M. Bayesovsko zaključivanje za standardnu devijaciju [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2021 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:125120

M. Bunjevac, "Bayesovsko zaključivanje za standardnu devijaciju", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:217:125120

Metadata
TitleBayesovsko zaključivanje za standardnu devijaciju
Title (english)Bayesian inference for standard deviation
AuthorMaša Bunjevac
MentorSnježana Lubura Strunjak (mentor)
Committee memberSnježana Lubura Strunjak (predsjednik povjerenstva)
Committee memberPavle Goldstein (član povjerenstva)
Committee memberZoran Vondraček (član povjerenstva)
Committee memberHrvoje Šikić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
Zagreb
Defense date and country2021-09-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Abstract
U ovom radu, bavimo se Bayesovim zaključivanjem. U uvodu je opisano statističko zaključivanje i primjena Bayesovog teorema. U prvom poglavlju, defnirani su pojmovi potrebni za razumijevanje Bayesovog zaključivanja i statističku analizu. Nakon toga, uvodimo Bayesovu paradigmu i uspoređujemo je s frekvencionističkom. Konačno, na primjeru prikazujemo ideju aposteriorne distribucije. U drugom poglavlju, bavimo se Bayesovim zaključivanjem za standardnu devijaciju za razne neprekidne apriorne distribucije. Nakon toga, navodimo aposteriorne distribucije pridružene zadanim apriornim distribucijama. Na kraju poglavlja, prikazujemo neke osnovne statističke procjene koje radimo za standardnu devijaciju normalne razdiobe. U trećem poglavlju, na nekoliko primjera dobivenih računalnim simulacijama, provodimo statističku analizu koristeći ranije navedena izlaganja. Sve metode implementiramo u R-u.
Abstract (english)
In this paper, Bayesian inference is presented. In the introduction, statistical inference and application of Bayes' Theorem are described. In the first chapter, concepts needed for understanding Bayesian inference and statistical analysis are defined. Then, Bayesian paradigm is presented and compared to frequentist perspective. Finally, the idea of posterior distribution is presented on an example. In the second chapter, Bayesian inference for standard deviation for various continuous priors is presented. Then, corresponding posterior distributions are listed. Finally, some fundamental statistical estimates on normal standard deviation are presented. In the third chapter, statistical analysis made by computer simulations is used on a few examples using previous statements. All methods are implemented in R.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:125120
Study programmeTitle: Finance and Business 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 on2021-10-25 12:48:28