Ruin Probability on Insurance Risk Models

Title & Authors
Ruin Probability on Insurance Risk Models
Park, Hyun-Suk; Choi, Jeong-Kyu;

Abstract
In this paper, we study an asymptotic behavior of the finite-time ruin probability of the compound Poisson model in the case that the initial surplus is large. To compare an exact ruin probability with an approximate one, we place the focus on the exact calculation for the ruin probability when the claim size distribution is regularly varying tailed (i.e. exponential claims and inverse Gaussian claims). We estimate an adjustment coefficient in these examples and show the relationship between the adjustment coefficient and the safety premium. The illustration study shows that as the safety premium increases so does the adjustment coefficient. Larger safety premium means lower "long-term risk", which only stands to reason since higher safety premium means a faster rate of safety premium income to offset claims.
Keywords
Insurance risk model;ruin probability;regular variation;L$\small{\`{e}}$vy processes;
Language
Korean
Cited by
1.
A compound Poisson risk model with variable premium rate,;;;

Journal of the Korean Data and Information Science Society, 2012. vol.23. 6, pp.1289-1297
1.
A compound Poisson risk model with variable premium rate, Journal of the Korean Data and Information Science Society, 2012, 23, 6, 1289
2.
Comparison of cadmium absorption, translocation, subcellular distribution and chemical forms between two radish cultivars ( Raphanus sativus L.), Ecotoxicology and Environmental Safety, 2017, 145, 258
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