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Centralni granični teorem
Daria Solić (2017)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Computer Science Research Group
Cite this document

Solić, D. (2017). Centralni granični teorem (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:585736

Solić, Daria. "Centralni granični teorem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:585736

Solić, Daria. "Centralni granični teorem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:585736

Solić, D. (2017). 'Centralni granični teorem', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 04 April 2020, https://urn.nsk.hr/urn:nbn:hr:126:585736

Solić D. Centralni granični teorem [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2020 April 04] Available at: https://urn.nsk.hr/urn:nbn:hr:126:585736

D. Solić, "Centralni granični teorem", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:585736

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Metadata
TitleCentralni granični teorem
Title (english)Central Limit Theorem
AuthorDaria Solić
MentorSlobodan Jelić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Computer Science Research Group)
Osijek
Defense date and country2017-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
U ovom radu se analiziraju osnovni pojmovi iz teorije vjerojatnosti, kao što su vjerojatnosni prostor, slučajna varijabla i Bernoullijeva distribucija, a koji su potrebni za iskazivanje i dokazivanje centralnog graničnog teorema. Iskazat će se klasični centralni granični teoremi koji su se pojavljivali kroz povijest i kojima su znanstvenici postupno dolazili do općeg centralnog graničnog teorema. Nadalje, analizirati će se i uniformna konvergencija u centralnom graničnom teoremu, karakteristična funkcija, infinitezimalni sistem te još neki pojmovi. Konačno, iskazat će se i dokazati opći centralni granični teorem.
Abstract (english)
This paper will reiterate the basic concepts of the probability theory such as probability space, random variable and Bernoulli’s distribution that are needed to demonstrate and prove central limit theorem. It will analyze classical central limit theorems which scientists used throughout history that helped them to discover general theory of central limit theorem. It will also analyze characteristic function, infinitesimal system, uniform convergence in central limit theorem and other concepts. Finally, it will show and prove general central limit theorem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:585736
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2017-10-23 07:55:38