Kernel estimation of the tail index of a right-truncated Pareto-type distribution

被引:5
|
作者
Benchaira, Souad [1 ]
Meraghni, Djamel [1 ]
Necir, Abdelhakim [1 ]
机构
[1] Mohamed Khider Univ, Lab Appl Math, Biskra, Algeria
关键词
Extreme value index; Heavy-tails; Kernel estimation; Product-limit estimator; Random truncation; EXTREME-VALUE INDEX;
D O I
10.1016/j.spl.2016.08.004
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
An asymptotically normal kernel estimator for the positive tail index of right-truncated data is introduced. A simulation study shows that the proposed estimator performs much better than the existing ones in terms of bias. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:186 / 193
页数:8
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