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Let {Xn,n&#x2265;1} be a sequence of positive independent and identically distributed random variables with common Pareto-type distribution function F(x)=1&#x2212;x&#x2212;1/&#x03B3;lF(x) as &#x03B3;&#x003E;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

Strong Convergence Bound of the Pareto Index Estimator under Right Censoring