Abstract
We study tail behaviour of the distribution of the area under the
positive excursion of a random walk which has negative drift and heavy-tailed
increments. We determine the asymptotics for tail probabilities for the area.
positive excursion of a random walk which has negative drift and heavy-tailed
increments. We determine the asymptotics for tail probabilities for the area.
| Original language | English |
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| Journal | Journal of Applied Probability |
| Publication status | Accepted/In press - 8 Jul 2020 |