On the rate of growth of Lévy processes with no positive jumps conditioned to stay positive

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125955In this article, we study the asymptotic behaviour of Lévy processes with no positive jumps conditioned to stay positive. We establish integral tests for the lower envelope at 0 and at $+\infty$ and an analogue of Khintchin's law of the iterated logarithm at 0 and $+\infty$, for the upper envelope.Probability60 G 17, 60 G 51On the rate of growth of Lévy processes with no positive jumps conditioned to stay positivetext