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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…
math.ST2008★ 4 cited
Asymptotic tail properties of the distributions in the class of dispersion models
Alexandre B. Simas, Gauss M. Cordeiro, Saralees Nadarajah
The class of dispersion models introduced by Jørgensen (1997b) covers many known distributions such as the normal, Student t, gamma, inverse Gaussian, hyperbola, von-Mises, among o…