A COMPLETE SOLUTION FOR WEAK CONVERGENCE OF HEAVILY TRIMMED SUMS

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Let {X<sub>n</sub>, n≥1} be a sequence of iidrvs with a common df F and for every n, let X<sub>n,1</sub>≤…≤X<sub>n,n</sub> denote the order statistics of X<sub>1</sub>,…, X<sub>n</sub>. Consider
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