prikaz prve stranice dokumenta Bayesovska statistika i primjene
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master's thesis
Bayesovska statistika i primjene
Zagreb: University of Zagreb, Faculty of Science, 2014. urn:nbn:hr:217:598696
Marković, Daniel
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Marković, D. (2014). Bayesovska statistika i primjene (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:598696

Marković, Daniel. "Bayesovska statistika i primjene." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:598696

Marković, Daniel. "Bayesovska statistika i primjene." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:598696

Marković, D. (2014). 'Bayesovska statistika i primjene', Master's thesis, University of Zagreb, Faculty of Science, accessed 29 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:598696

Marković D. Bayesovska statistika i primjene [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2014 [cited 2024 December 29] Available at: https://urn.nsk.hr/urn:nbn:hr:217:598696

D. Marković, "Bayesovska statistika i primjene", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:217:598696

Metadata
TitleBayesovska statistika i primjene
AuthorDaniel Marković
MentorSiniša Slijepčević (mentor)
Committee memberSiniša Slijepčević (predsjednik povjerenstva)
Committee memberMladen Jurak (član povjerenstva)
Committee memberSonja Štimac (član povjerenstva)
Committee memberZvonimir Tutek (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2014-07-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu smo se bavili osnovnim konceptima bayesovske statistike. U prvom poglavlju smo definirali pojam vjerojatnosti i uvjetne vjerojatnosti, te smo pomoću njih iskazali bayesov teorem koji je temelj bayesove statistike. U drugom poglavlju smo definirali neke osnovne pojmove bayesovske statistike kao što su apriorna distribucija, funkcija vjerodostojnosti i aposteriorna distribucija. Izbor apriorne distribucije jedan je od ključnih problema bayesovske statistike pa smo mu posvetili cijelo treće poglavlje. U četvrtom poglavlju smo govorili o procjeni parametara, te smo definirali bayesovski procjenitelj za točkovnu procjenu i bayesovske pouzdane intervale. U zadnjem poglavlju se bavimo bayesovskim testiranjem hipoteza.
Abstract (english)
In this work we introduced some basic concepts of Bayesian statistics. In the first chapter, we defined terms of probability and conditional probability, and then used them to state Bayes theorem, which is the cornerstone of Bayesian statistics. In the second chapter, we defined some basic terms of Bayesian statistics like apriori distribution, likelihood function and aposteriori distribution. The choice of apriori distribution is one of the main problems in bayesian statistics, so we dedicated the whole third chapter to it. In fourth chapter, we discussed parameter estimation, and defined Bayesian estimator for point estimate and Bayesian confidence intervals. In the last chapter, we deal with Bayesian hypothesis testing.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:598696
Study programmeTitle: Mathematical Statistics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2019-01-22 11:44:27