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arXiv · 2312.09389

Fractional Brownian Motion Ruin Model with Random Inspection Time

Grigori Jasnovidov
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Abstract

In this contribution we study the asymptotics of \begin{eqnarray*} P(\exists t\ge 0 : B_H(L(t))-cL(t)>u), \quad u \to \infty, \end{eqnarray*} where $B_H, H\in (0,1)$ is a fractional Brownian motion, $L(t)$ is a non-negative pure jumps L\'{e}vy process independent of $B_H$, $c>0$.

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BibTeXRIS

Grigori Jasnovidov. 2023-12-14. Fractional Brownian Motion Ruin Model with Random Inspection Time. https://arxiv.org/abs/2312.09389

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