Tail Asymptotic Expansions for L-Statistics

preprint2014arXivOpen access

Abstract

In this paper, we derive higher-order expansions of LL-statistics of independent risks X1,…,XnX_1, \ldots, X_n under conditions on the underlying distribution function FF. The new results are applied to derive the asymptotic expansions of ratios of two kinds of risk measures, stop-loss premium and excess return on capital, respectively.

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