undergraduate thesis
Paradoxes in probability theory

Hrvoje Hajduković (2015)
Metadata
TitleParadoksi u teoriji vjerojatnosti
AuthorHrvoje Hajduković
Mentor(s)Tomislav Rudec (thesis advisor)
Abstract
Teorija vjerojatnosti je grana matematike koja proučava mogućnost ili šansu da se ostvari neki događaj. Tu šansu još zovemo vjerojatnost i izražavamo je brojem od 0 do 1. Kroz rad definirani su osnovni pojmovi poput : prostora elementarnih događaja, ishoda ili elementarnih događaja te povoljnih ishoda. Objašnjena su svojstava vjerojatnost kao i aksiomi Kolmogorova o nenegativnosti, aditivnosti i normiranosti kao i algebra događaja. Definiran je pojam paradoksa uz brojne primjere. Paradoksi u teoriji vjerojatnosti predočeni su matematičkim računom uz objašnjenja.
Keywordsprobability theory paradox axiom experiment result
Parallel title (English)Paradoxes in probability theory
Committee MembersTomislav Rudec (committee chairperson)
Hrvoje Glavaš (committee member)
Mario Vranješ (committee member)
GranterSveučilište Josipa Jurja Strossmayera u Osijeku
Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek
Lower level organizational unitsZavod za zajedničke predmete (matematiku, fiziku, strojarstvo i strane jezike)
Katedra za matematiku i fiziku
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineTECHNICAL SCIENCES
Computing
Process Computing
Study programme typeuniversity
Study levelundergraduate
Study programmeUndergraduate University Study Programme in Computer Engineering
Academic title abbreviationuniv.bacc.ing.comp.
Genreundergraduate thesis
Language Croatian
Defense date2015-09-24
Parallel abstract (English)
Probability theory is a branch of mathematics that studies the possibility or chance to realize some event. We express this chance through a number ranging from 0 to 1. Throughout the paper, basic concepts such as space of elementary events, outcomes of natural events and favorable outcomes are defined. Also explained are the properties of probability and the Kolmogorov axioms of non-negativity, additivity and standards setting and algebra of events. The notion of a paradox has been defined with numerous examples. Paradoxes in probability theory have been presented in mathematical account with explanations
Parallel keywords (Croatian)teorija vjerojatnosti paradoks aksiomi eksperiment ishod
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:200:318889
CommitterAnka Ovničević