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A machine learning approach for individual claims reserving in insurance

机译:一种用于保险中个人索赔准备金的机器学习方法

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摘要

Abstract Accurate loss reserves are an important item in the financial statement of an insurance company and are mostly evaluated by macrolevel models with aggregate data in run‐off triangles. In recent years, a new set of literature has considered individual claims data and proposed parametric reserving models based on claim history profiles. In this paper, we present a nonparametric and flexible approach for estimating outstanding liabilities using all the covariates associated to the policy, its policyholder, and all the information received by the insurance company on the individual claims since its reporting date. We develop a machine learning–based method and explain how to build specific subsets of data for the machine learning algorithms to be trained and assessed on. The choice for a nonparametric model leads to new issues since the target variables (claim occurrence and claim severity) are right‐censored most of the time. The performance of our approach is evaluated by comparing the predictive values of the reserve estimates with their true values on simulated data. We compare our individual approach with the most used aggregate data method, namely, chain ladder, with respect to the bias and the variance of the estimates. We also provide a short real case study based on a Dutch loan insurance portfolio.
机译:摘要 准确的损失准备金是保险公司财务报表中的重要项目,主要采用宏观模型进行评估,汇总数据为径流三角形。近年来,一组新的文献考虑了个人索赔数据,并提出了基于索赔历史概况的参数准备金模型。在本文中,我们提出了一种非参数和灵活的方法,使用与保单、保单持有人以及保险公司自报告日期以来收到的有关个人索赔的所有信息相关的所有协变量来估计未偿债务。我们开发了一种基于机器学习的方法,并解释了如何为要训练和评估的机器学习算法构建特定的数据子集。选择非参数模型会导致新问题,因为目标变量(声明发生率和声明严重性)在大多数情况下都是右删失的。通过将储量估计值的预测值与其在模拟数据上的真实值进行比较来评估我们方法的性能。我们将我们的个人方法与最常用的聚合数据方法(即链阶梯)进行了比较,以了解估计值的偏差和方差。我们还提供了一个基于荷兰贷款保险组合的简短真实案例研究。

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