Penalisation of a stable Lévy process involving its one-sided supremum
Kouji Yano, Yuko Yano, Marc Yor (2010)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
Penalisation involving the one-sided supremum for a stable Lévy process with index ∈(0, 2] is studied. We introduce the analogue of Azéma–Yor martingales for a stable Lévy process and give the law of the overall supremum under the penalised measure.