کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4638187 | 1631995 | 2016 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A polynomial expansion to approximate the ultimate ruin probability in the compound Poisson ruin model A polynomial expansion to approximate the ultimate ruin probability in the compound Poisson ruin model](/preview/png/4638187.png)
A numerical method to approximate ruin probabilities is proposed within the frame of a compound Poisson ruin model. The defective density function associated to the ruin probability is projected in an orthogonal polynomial system. These polynomials are orthogonal with respect to a probability measure that belongs to a Natural Exponential Family with Quadratic Variance Function (NEF-QVF). The method is convenient in at least four ways. Firstly, it leads to a simple analytical expression of the ultimate ruin probability. Secondly, the implementation does not require strong computer skills. Thirdly, our approximation method does not necessitate any preliminary discretization step of the claim sizes distribution. Finally, the coefficients of our formula do not depend on initial reserves.
Journal: Journal of Computational and Applied Mathematics - Volume 296, April 2016, Pages 499–511