Modeling of claim exceedances over random thresholds for related insurance portfolios

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• 作者：Serkan Eryilmaz^a ; ^{seryilmaz@atilim.edu.tr} ; Omer L. Gebizlioglu^b ; Fatih Tank^c
• 关键词：Largest claim size ; Order statistics ; Exceedances ; Renewal process ; Copulas
• 刊名：Insurance: Mathematics and Economics
• 出版年：2011
• 出版时间：November 2011
• 年：2011
• 卷：49
• 期：3
• 页码：496-500
• 全文大小：249 K

文摘

Large claims in an actuarial risk process are of special importance for the actuarial decision making about several issues like pricing of risks, determination of retention treaties and capital requirements for solvency. This paper presents a model about claim occurrences in an insurance portfolio that exceed the largest claim of another portfolio providing the same sort of insurance coverages. Two cases are taken into consideration: independent and identically distributed claims and exchangeable dependent claims in each of the portfolios. Copulas are used to model the dependence situations. Several theorems and examples are presented for the distributional properties and expected values of the critical quantities under concern.