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On the maximum severity of ruin in the compound Poisson model with a threshold dividend strategy

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  • Shuanming Li
  • Yi Lu

Abstract

We study the distribution and moments of the maximum severity of ruin in the compound Poisson risk process with a threshold dividend strategy. The distribution can be analyzed through the probability that the surplus process attains a given level from the initial surplus without first falling below zero. This note extends the results in Picard (1994) and shows that the distribution of the maximum severity of ruin can be expressed explicitly in terms of the ruin probabilities of two classical risk models with different premium rates. The moments of the maximum severity of ruin can be obtained through its distribution function.

Suggested Citation

  • Shuanming Li & Yi Lu, 2010. "On the maximum severity of ruin in the compound Poisson model with a threshold dividend strategy," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2010(2), pages 136-147.
  • Handle: RePEc:taf:sactxx:v:2010:y:2010:i:2:p:136-147
    DOI: 10.1080/03461230902850162
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