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Document Details :

Title: A Statistical Approach to IBNR-reserves in Marine Reinsurance
Author(s): HERTIG, Joakim
Journal: ASTIN Bulletin
Volume: 15    Issue: 2   Date: November 1985   
Pages: 171-183
DOI: 10.2143/AST.15.2.2015027

Abstract :
The run off-pattern of long-term reinsurance treaties is described by means and standard deviations of logarithmic increments of premiums and loss ratios in a normal distribution. From this description forecasts of ultimate claims and current IBNR-reserves are derived, with associated distributions and confidence limits. Aggregation from individual treaties to portfolio level is proposed by normal approximation. Security loading of IBNR-reserves is proposed by a contingency reserve at portfolio level.