Copyright © 2010 Bao Tao and Zuoxiang Peng. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be a sequence of positive independent and identically
distributed random variables with common Pareto-type distribution function as , where 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.