Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/103601 
Year of Publication: 
2013
Citation: 
[Journal:] Risks [ISSN:] 2227-9091 [Volume:] 1 [Issue:] 3 [Publisher:] MDPI [Place:] Basel [Year:] 2013 [Pages:] 148-161
Publisher: 
MDPI, Basel
Abstract: 
We consider a spectrally-negative Markov additive process as a model of a risk process in a random environment. Following recent interest in alternative ruin concepts, we assume that ruin occurs when an independent Poissonian observer sees the process as negative, where the observation rate may depend on the state of the environment. Using an approximation argument and spectral theory, we establish an explicit formula for the resulting survival probabilities in this general setting. We also discuss an efficient evaluation of the involved quantities and provide a numerical illustration.
Subjects: 
Markov additive process
level-crossing probabilities
Poissonian observation
ruin probability
occupation times
Persistent Identifier of the first edition: 
Creative Commons License: 
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Document Type: 
Article
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