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

Mathematics – Probability

Scientific paper

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52 pages

Scientific paper

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.

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