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On the last exit times for spectrally negative L\'evy processes

Probability 2016-10-05 v1

Abstract

Using a new approach, for spectrally negative L\'evy processes we find joint Laplace transforms involving the last exit time (from a semi-infinite interval), the value of the process at the last exit time and the associated occupation time, which generalizes some previous results.

Keywords

Cite

@article{arxiv.1606.04622,
  title  = {On the last exit times for spectrally negative L\'evy processes},
  author = {Yingqiu Lia and Chuancun Yin and Xiaowen Zhou},
  journal= {arXiv preprint arXiv:1606.04622},
  year   = {2016}
}

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16pages