Asimptotska razdioba statistika baziranih na rangovima

Jurilj, Ena (2015) Asimptotska razdioba statistika baziranih na rangovima. Diploma thesis, Faculty of Science > Department of Mathematics.

[img]
Preview
PDF
Language: Croatian

Download (726kB) | Preview

Abstract

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.

Item Type: Thesis (Diploma thesis)
Supervisor: Huzak, Miljenko
Date: 2015
Number of Pages: 45
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 19 Jan 2016 10:59
Last Modified: 19 Jan 2016 10:59
URI: http://digre.pmf.unizg.hr/id/eprint/4373

Actions (login required)

View Item View Item