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Parisian ruin probability for spectrally negative Lévy processes
L´ evy process ruin probability Parisian ruin risk process
2011/3/23
In this note we give, for a spectrally negative L\'evy process, a compact formula for the Parisian ruin probability, which is defined by the probability that the process exhibits an excursion below ze...
Optimization of dividend and reinsurance strategies under ruin probability constraint
Nonlinear regular-singular stochastic optimal control Ruin
2010/10/20
This paper considers nonlinear regular-singular stochastic optimal control of large insurance company. The company controls the reinsurance rate and dividend payout process to maximize the expected p...
Ruin probability with Parisian delay for a spectrally negative Lévy risk process
L´ evy process ruin probability asymptotics Parisian ruin
2010/10/19
In this paper we analyze so-called Parisian ruin probability that happens when surplus process stays below zero longer than fixed amount of time $\zeta>0$. We focus on general spectrally negative L\'...
Ruin probability with Parisian delay for a spectrally negative Lévy risk process
Levy process ruin probability asymptotics Parisian ruin risk process
2010/4/27
In this paper we analyze so-called Parisian ruin probability that happens when surplus process stays below zero longer than fixed amount of time $\zeta>0$. We focus on general spectrally negative L\'{...
We consider an insurance company in the case when the premium rate is a bounded non-negative random function $c_\zs{t}$ and the capital of the insurance company is invested in a risky asset whose pri...