OCENJIVANJE INDEKSA REPA RASPODELE KORIŠĆENJEM NEKOMPLETNIH UZORAKA
Title: | OCENJIVANJE INDEKSA REPA RASPODELE KORIŠĆENJEM NEKOMPLETNIH UZORAKA |
Author: | Ilić, D. Ivana |
Abstract: | For the sequence of heavy-tailed and possibly dependent random variables with the missing observations the estimation of the tail-index is considered. Under minimal but verifiable assumption of ''extremal dependence'' we proved the consistency of geometric-type estimator (Brito and Freitas, 2003). We extended results from Mladenovic and Piterbarg (2008) and proved the consistency and the asymptotic normality of the Hill estimator. Illustrative examples are provided. |
URI: | http://hdl.handle.net/123456789/2485 |
Date: | 2013 |
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