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Let F belong to the domain of attraction of a stable law with parameters \α and p. Let X₁, X₂, \⋯ be a sample from F. Put |\ X₁| \≤ |\ X₂| \≤ \⋯ \≤ |\ Xₙ|. We consider the asymptotic properties as n \→ \∞ (and k \→ \∞) of the ratio of order statistics (\ X₁ + \⋯ + \ Xn - k)/|\ Xn - k + 1|.
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Jozef L. Teugels (1981) studied this question.
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