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master's thesis
Asimptotska razdioba statistika baziranih na rangovima
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:140399
Jurilj, Ena
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Jurilj, E. (2015). Asimptotska razdioba statistika baziranih na rangovima (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:140399

Jurilj, Ena. "Asimptotska razdioba statistika baziranih na rangovima." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:140399

Jurilj, Ena. "Asimptotska razdioba statistika baziranih na rangovima." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:140399

Jurilj, E. (2015). 'Asimptotska razdioba statistika baziranih na rangovima', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:140399

Jurilj E. Asimptotska razdioba statistika baziranih na rangovima [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:140399

E. Jurilj, "Asimptotska razdioba statistika baziranih na rangovima", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:140399

Metadata
TitleAsimptotska razdioba statistika baziranih na rangovima
AuthorEna Jurilj
MentorMiljenko Huzak (mentor)
Committee memberMiljenko Huzak (predsjednik povjerenstva)
Committee memberNikola Sarapa (član povjerenstva)
Committee memberSiniša Slijepčević (član povjerenstva)
Committee memberTina Bosner (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-11-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U prvom se poglavlju prisjećamo osnovnih tipova konvergencija slučajnih varijabli. Navodimo nekoliko novih tvrdnji od kojih neke i dokazujemo. U drugom poglavlju iskazujemo Lindeberg-Fellerov centralni granični teorem i primjenjujemo ga direktno na neke statistike. Ovdje također iznosimo neke primjere koji koriste statistike koje zadovoljavaju Lindebergov uvjet. Glavni rezultat obradujemo u trećem poglavlju. Iskazujemo i dokazujemo posebnu verziju Lindeberg-Fellerova teorema za statistike bazirane na rangovima. U posljednjem poglavlju primjenjujemo prethodni teorem na statistike koje se pojavljuju u nekim neparametarskim metodama, kao npr. statistika kod permutacijskog t-testa dva uzorka, statistika kod testa sume rangova, itd.
Abstract (english)
In the first chapter we recall to basic types of convergences of random variables. Here we state a few claims about convergences, some of them with their proofs. In the second chapter we state Lindeberg-Feller Central Limit Theorem without proof. Then we apply it directly on some statistics. We also state some interesting examples that use statistics satisfying Lindeberg Condition. The main result is in the third chapter. There we state a special version of Lindeberg-Feller Theorem for the statistics based on ranks, with its proof. In the last chapter we apply this theorem to statistics that we use in some nonparametric methods, such as statistic for the Two-Sample Randomisation t-Test, or statistic for the Rank-Sum Test, etc.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:140399
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 conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-02-04 09:49:16