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4 papers · 2 filters
Risk measures for processes and BSDEs
Irina Penner, Anthony Reveillac
The paper analyzes risk assessment for cash flows in continuous time using the notion of convex risk measures for processes. By combining a decomposition result for optional measur…
The cluster index of regularly varying sequences with applications to limit theory for functions of multivariate Markov chains
Thomas Mikosch, Olivier Wintenberger
We introduce the cluster index of a multivariate regularly varying stationary sequence and characterize the index in terms of the spectral tail process. This index plays a major ro…
General Fragmentation Trees
Robin Stephenson
We show that the genealogy of any self-similar fragmentation process can be encoded in a compact measured real tree. Under some Malthusian hypotheses, we compute the fractal Hausdo…
Explicit construction of a dynamic Bessel bridge of dimension 3
Luciano Campi, Umut Çetin, Albina Danilova
Given a deterministically time-changed Brownian motion starting from 1, whose time-change satisfies for all , we perform an explicit construction of a…