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Actuarial comparisons for aggregate claims with randomly right-truncated claims

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  • Escudero, Laureano F.
  • Ortega, Eva-María

Abstract

In this note, we consider an extension of the largest claims reinsurance treaty (LCR) with random upper thresholds for the claim sizes, that we call retention levels. The Laplace transform order for insurer's aggregate claims is obtained assuming dependence among the random retention levels. Different results about the influence of dependence on the insurer total claim amount are also given including the connections with LCR and the case of combination with quota-share. Algebraic bounds for the insurer aggregate claims are obtained when a common fixed threshold is considered.

Suggested Citation

  • Escudero, Laureano F. & Ortega, Eva-María, 2008. "Actuarial comparisons for aggregate claims with randomly right-truncated claims," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 255-262, October.
    • Handle: RePEc:eee:insuma:v:43:y:2008:i:2:p:255-262
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    1. Lazaros Kanellopoulos, 2023. "Some Stochastic Orders over an Interval with Applications," Risks, MDPI, vol. 11(9), pages 1-14, September.
    2. Laureano Escudero & Eva-María Ortega, 2009. "How retention levels influence the variability of the total risk under reinsurance," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(1), pages 139-157, July.

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