Affine Processes on Symmetric Cones

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

Abstract

We consider affine Markov processes taking values in convex cones. In particular, we characterize all affine processes taking values in irreducible symmetric cones in terms of certain Lévy–Khintchine triplets. This is the natural, coordinate-free formulation of the theory of Wishart processes on positive semidefinite matrices, as put forward by Bru (J Theor Probab 4(4):725–751, 1991) and Cuchiero et al. (Ann Appl Probab 21(2):397–463, 2011), in the more general context of symmetric cones, which also allows for simpler, alternative proofs.

Details

OriginalspracheEnglisch
Seiten (von - bis)359-422
Seitenumfang64
FachzeitschriftJournal of Theoretical Probability
Jahrgang29
Ausgabenummer2
PublikationsstatusVeröffentlicht - 1 Juni 2016
Peer-Review-StatusJa

Externe IDs

ORCID /0000-0003-0913-3363/work/167706914

Schlagworte

Schlagwörter

  • Affine processes, Non-central Wishart distribution, Symmetric cones, Wishart processes