Tail prepivoting for the Hill estimator

被引:0
作者
Brito, Margarida [1 ,2 ]
Moreira Freitas, Ana Cristina [3 ,4 ]
Freitas, Jorge Milhazes [5 ]
机构
[1] Univ Porto, Ctr Matemat, Fac Ciencias, Rua Campo Alegre 687, P-4169007 Oporto, Portugal
[2] Univ Porto, Dept Matemat, Fac Ciencias, Rua Campo Alegre 687, P-4169007 Oporto, Portugal
[3] Univ Porto, Ctr Matemat, Rua Dr Roberto Frias, P-4200464 Oporto, Portugal
[4] Univ Porto, Fac Econ, Rua Dr Roberto Frias, P-4200464 Oporto, Portugal
[5] Univ Porto, Ctr Matemat, Rua Campo Alegre 687, P-4169007 Oporto, Portugal
基金
巴西圣保罗研究基金会;
关键词
bootstrap; parameter estimation; prepivoting; tail index; ADJUSTMENT COEFFICIENT; REGULAR VARIATION; RISK THEORY; BOOTSTRAP; CONVERGENCE; STATISTICS; EXPONENT;
D O I
10.1088/1751-8113/49/19/194004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is well known that prepivoting reduces level error of confidence sets. We adapt this method to the context of the tail index estimation, introducing a procedure that we call tail prepivoting. We apply this procedure to the Hill estimator and establish its consistency.
引用
收藏
页数:12
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