Strong Convergence Bound of the Pareto Index Estimator under Right Censoring

Autor: Bao Tao, Zuoxiang Peng
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2010 (2010)
Druh dokumentu: article
ISSN: 1025-5834
1029-242X
DOI: 10.1155/2010/209156
Popis: Let {Xn,n≥1} be a sequence of positive independent and identically distributed random variables with common Pareto-type distribution function F(x)=1−x−1/γlF(x) as γ>0, where lF(x) represents a slowly varying function at infinity. In this note we study the strong convergence bound of a kind of right censored Pareto index estimator under second-order regularly varying conditions.
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