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Approximations for moments of deficit at ruin with exponential and subexponential claims

✍ Scribed by Yebin Cheng; Qihe Tang; Hailiang Yang


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
156 KB
Volume
59
Category
Article
ISSN
0167-7152

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✦ Synopsis


Consider a renewal insurance risk model with initial surplus u ¿ 0 and let A u denote the deÿcit at the time of ruin. This paper investigates the asymptotic behavior of the moments of A u as u tends to inÿnity. Under the assumption that the claim size is exponentially or subexponentially distributed, we obtain some asymptotic relationships for the -moments of A u , where is a non-negative and non-decreasing function satisfying certain conditions.