Rating of Non Proportional Reinsurance Treaties Based on Ordered Claims

The purpose of the present paper is to give a survey of mathematical models and methods for rating special nonproportional reinsurance treaties, so-called non- proportional reinsurance treaties based on ordered claims. The emphasis lies on describing the different main approaches with a thorough formulation of the basic stochastic assumptions, whereas details dealing with the practical implementation are mostly avoided. The rating of the nonproportional reinsurance treaties in the view of the following presentation consists mainly in applying or modifying concepts and results of Mathematical Statistics.

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