English

Fractional Brownian Motion Ruin Model with Random Inspection Time

Probability 2023-12-18 v1

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 BH,H(0,1)B_H, H\in (0,1) is a fractional Brownian motion, L(t)L(t) is a non-negative pure jumps L\'{e}vy process independent of BHB_H, c>0c>0.

Keywords

Cite

@article{arxiv.2312.09389,
  title  = {Fractional Brownian Motion Ruin Model with Random Inspection Time},
  author = {Grigori Jasnovidov},
  journal= {arXiv preprint arXiv:2312.09389},
  year   = {2023}
}
R2 v1 2026-06-28T13:51:43.177Z