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Ruin probabilities in tough times - Part 1 - Heavy-traffic approximation for fractionally integrated random walks in the domain of attraction of a nonGaussian stable distribution

Ph. Barbe and W. P. McCormick
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Ph. Barbe: CNRS
W. P. McCormick: UGA

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Abstract: Motivated by applications to insurance mathematics, we prove some heavy-traffic limit theorems for process which encompass the fractionally integrated random walk as well as some FARIMA processes, when the innovations are in the domain of attraction of a nonGaussian stable distribution.

Date: 2011-01
New Economics Papers: this item is included in nep-ets, nep-ias and nep-mic
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