%0 Journal Article %T Strong Convergence Bound of the Pareto Index Estimator under Right Censoring %A Bao Tao %A Zuoxiang Peng %J Journal of Inequalities and Applications %D 2010 %I Springer %R 10.1155/2010/209156 %X Let {Xn,n¡Ý1} be a sequence of positive independent and identically distributed random variables with common Pareto-type distribution function F(x)=1 x 1/¦ÃlF(x) as ¦Ã>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. %U http://dx.doi.org/10.1155/2010/209156