Performance of the Strong Stability Method in the Univariate Classical Risk Model

In this paper, we study the performance of the strong
stability method of the univariate classical risk model. We interest to
the stability bounds established using two approaches. The first based
on the strong stability method developed for a general Markov chains.
The second approach based on the regenerative processes theory . By
adopting an algorithmic procedure, we study the performance of the
stability method in the case of exponential distribution claim amounts.
After presenting numerically and graphically the stability bounds, an
interpretation and comparison of the results have been done.

Authors:

• Safia Hocine
• Zina Benouaret
• Djamil A¨ıssani

Keywords:

• Markov Chain
• regenerative processes
• risk models
• ruin probability
• strong stability.

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