On the discounted penalty function in a Markov-dependent risk model
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Publication:817299
DOI10.1016/j.insmatheco.2005.06.007zbMath1129.91023OpenAlexW2168342347MaRDI QIDQ817299
Hansjoerg Albrecher, Onno J. Boxma
Publication date: 8 March 2006
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.insmatheco.2005.06.007
Markov renewal processes, semi-Markov processes (60K15) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)
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Cites Work
- Unnamed Item
- A ruin model with dependence between claim sizes and claim intervals
- On ruin for the Erlang \((n)\) risk process
- The surpluses immediately before and at ruin, and the amount of the claim causing ruin
- On the distribution of the surplus prior to ruin
- On the time to ruin for Erlang(2) risk processes.
- The joint distribution of the surplus prior to ruin and the deficit at ruin in some Sparre Andersen models.
- On the joint distributions of surplus immediately before ruin and the deficit at ruin for Erlang(2) risk processes.
- The moments of the time of ruin, the surplus before ruin, and the deficit at ruin
- Martingales and the distribution of the time to ruin.
- The queue GI/M/s with customers of different types or the queue GI/Hm/s
- Risk processes analyzed as fluid queues
- Exponential Behavior in the Presence of Dependence in Risk Theory
- Ruin Probabilities and Deficit for the Renewal Risk Model with Phase-type Interarrival Times
- On a general class of renewal risk process: analysis of the Gerber-Shiu function
- Moments of the Surplus before Ruin and the Deficit at Ruin in the Erlang(2) Risk Process
- The Time Value of Ruin in a Sparre Andersen Model
- Single-server queue with Markov-dependent inter-arrival and service times