Conditions for certain ruin for the generalised Ornstein-Uhlenbeck process and the structure of the upper and lower bounds

Abstract

For a bivariate Lévy process (ξt, ηt)t ≥ 0 the generalised Ornstein-Uhlenbeck (GOU) process is defined as Vt {colon equals} eξt (z + ∫0t e- ξs - d ηs), t ≥ 0, where z ∈ R. We present conditions on the characteristic triplet of (ξ, η) whic Show more