The extended hypergeometric class of L\'evy processes

Autor: Kyprianou, A. E., Pardo, J. C., Watson, A. R.
Rok vydání: 2013
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1239/jap/1417528488
Popis: With a view to computing fluctuation identities related to stable processes, we review and extend the class of hypergeometric L\'evy processes explored in Kuznetsov and Pardo (arXiv:1012.0817). We give the Wiener-Hopf factorisation of a process in the extended class, and characterise its exponential functional. Finally, we give three concrete examples arising from transformations of stable processes.
Comment: 22 pages
Databáze: arXiv