%0 Journal Article %A Safia Hocine and Zina Benouaret and Djamil A¨ıssani %D 2018 %J International Journal of Physical and Mathematical Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 137, 2018 %T Performance of the Strong Stability Method in the Univariate Classical Risk Model %U https://publications.waset.org/pdf/10008940 %V 137 %X 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. %P 79 - 84