Document Type : Original Article

Author

• Abouzar Bazyari

Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran. Department of Mathematics‎, ‎Salman Farsi University of Kazerun‎, ‎Kazerun‎, ‎Iran.

Abstract

This paper presents two new insurance risk models for analyzing the ruin probabilities. Firstly, we restrict ourselves to the classical risk model contains heavy-tailed distribution of individual net losses and changeable premium income rates. Under certain technical assumptions, some asymptotic expansions and recursive formulas are obtained for the ruin probabilities. In the second risk model, we assume that the different classes of the portfolio business are dependent and compute the finite time ruin probability based on the discretization of the distribution function. We present some numerical examples in the portfolio of business and show that the value of ruin probability increases as dependence level increases. Moreover, the sensitivity of the results are investigated with respect to the parameters of  Weibull and Exponential distributions.

Keywords

• Classical risk model
• Dependence structure
• Fourier transform method
• Heavy-tailed distribution
• Ruin probability