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math.ST2008
Almost Sure Convergence of Extreme Order Statistics
Zuoxiang Peng, Jiaona Li, Saralees Nadarajah
Let denote the th largest maximum of a sample from parent with continuous distribution. Assume there exist normalizing constants , $b_…
math.ST2008★ 13 cited
A class of unbiased location invariant Hill-type estimators for heavy tailed distributions
Jiaona Li, Zuoxiang Peng, Saralees Nadarajah
Based on the methods provided in Caeiro and Gomes (2002) and Fraga Alves (2001), a new class of location invariant Hill-type estimators is derived in this paper. Its asymptotic dis…