Title
The Extended Hypergeometric Class Of Levy Processes
Abstract
We review and extend the class of hypergeometric Levy processes explored in Kuznetsov and Pardo (2013) with a view to computing fluctuation identities related to stable processes. We give the Wiener-Hopf factorisation of a process in the extended class, characterise its exponential functional, and give three concrete examples arising from transformations of stable processes.
Year
DOI
Venue
2014
10.1017/S0021900200021409
JOURNAL OF APPLIED PROBABILITY
Keywords
Field
DocType
Levy process, hypergeometric Levy process, extended hypergeometric Levy process, Wiener-Hopf factorisation, exponential functional, stable process, path-censored stable process, conditioned stable process, hitting distribution, hitting probability
Combinatorics,Basic hypergeometric series,Hypergeometric distribution,Exponential function,Confluent hypergeometric function,Stable process,Generalized hypergeometric function,Hypergeometric function of a matrix argument,Lévy process,Mathematics
Journal
Volume
Issue
ISSN
51
A
0021-9002
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Andreas E. Kyprianou1175.31
Juan Carlos Pardo201.01
Alex R. Watson300.34