Path Decomposition of Spectrally Negative Levy Processes
Probability
2019-01-30 v2
Abstract
Path decomposition is performed to analyze the pre-supremum, post-supremum, post-infimum and the intermediate processes of a spectrally negative Levy process taken up to an independent exponential time T as motivated by the aim of finding the joint distribution of the maximum loss and maximum gain. In addition, the joint distribution of the supremum and the infimum before an exponential time is displayed. As an application of path decomposition, the distributions of supremum of the post-infimum process and the maximum loss of the post-supremum process are obtained.
Cite
@article{arxiv.1801.06426,
title = {Path Decomposition of Spectrally Negative Levy Processes},
author = {Ceren Vardar-Acar and Mine Caglar},
journal= {arXiv preprint arXiv:1801.06426},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1510.03629