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June 2005 Passage times for a spectrally negative Lévy process with applications to risk theory
Sung Nok Chiu, Chuancun Yin
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Bernoulli 11(3): 511-522 (June 2005). DOI: 10.3150/bj/1120591186

Abstract

The distributions of the last passage time at a given level and the joint distributions of the last passage time, the first passage time and their difference for a general spectrally negative process are derived in the form of Laplace transforms. The results are applied to risk theory.

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Sung Nok Chiu. Chuancun Yin. "Passage times for a spectrally negative Lévy process with applications to risk theory." Bernoulli 11 (3) 511 - 522, June 2005. https://doi.org/10.3150/bj/1120591186

Information

Published: June 2005
First available in Project Euclid: 5 July 2005

zbMATH: 1076.60038
MathSciNet: MR2146892
Digital Object Identifier: 10.3150/bj/1120591186

Keywords: First passage time , last passage time , Risk theory , spectrally negative Lévy process

Rights: Copyright © 2005 Bernoulli Society for Mathematical Statistics and Probability

Vol.11 • No. 3 • June 2005
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