Empirical Analysis of Claims Development Trapezoids following Benford’s Law

Jochen Heberle, Tobias Gummersbach
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Abstract

In this paper we make an empirical analysis of a wide range of claims developmenttrapezoids following Benford’s law. In particular we determine Benfors’s law fordifferent characteristic factors depending on claims development triangles/trapezoids.These characteristic factors are the cumulative claims payments, the incrementalclaims payments and the individual development factors. For each characteristic factor hypothesis testing is done for verifying/rejecting Benford’s law.
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本福德法则下索赔发展梯形的实证分析
本文对一系列符合本福德定律的索赔发展梯形进行了实证分析。特别是,我们根据索赔发展三角形/梯形确定不同特征因素的本福斯定律。这些特征因素是累积索赔支付、增量索赔支付和个体发展因素。对每个特征因子进行假设检验,验证/否定本福德定律。
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