Lévy bridges with random length

Published 30 May 2019 in math.PR | (1905.13259v1)

Abstract: In this paper our first goal is to give precise definition of the L\'evy bridges with random length. Our second task is to establish the Markov property of this process with respect to its completed natural filtration and thus with respect to the usual augmentation of this one. This property will be crucial for the right-continuity of completed natural filtration.

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