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Asymptotic behavior of random time absolute ruin probability with D∩L tailed and conditionally independent claim sizes

Xiaodong Bai and Lixin Song

Statistics & Probability Letters, 2012, vol. 82, issue 9, 1718-1726

Abstract: Consider the probability of random time absolute ruin in the renewal risk model with constant premium rate and constant force of interest. We assume that claim sizes Xi,i=1,2,…, are conditionally independent on some sigma algebra and that the common distribution belongs to class D∩L. We obtain the asymptotic formula for the subclass of subexponential distributions.

Keywords: Asymptotics; Renewal risk model; Conditional independence; Random time absolute ruin probability (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2012.05.010

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