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arxiv: 1402.6302 · v1 · pith:76FT4JI6new · submitted 2014-02-25 · 🧮 math.PR · stat.AP

Tail Asymptotic Expansions for L-Statistics

classification 🧮 math.PR stat.AP
keywords expansionsasymptoticderiveappliedcapitalconditionsdistributionexcess
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In this paper, we derive higher-order expansions of $L$-statistics of independent risks $X_1, \ldots, X_n$ under conditions on the underlying distribution function $F$. 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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