通过变压器改进非寿险精算定价模型

IF 0.8 Q4 BUSINESS, FINANCE
Alexej Brauer
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引用次数: 0

摘要

目前,神经网络在非寿险定价领域的研究很多。通常的目标是在当前行业标准广义线性模型的基础上,通过神经网络提高精算定价和行为模型的预测能力。我们的论文通过新颖的方法,用表格数据的转换器模型来增强非寿险精算模型,为当前的这一进程做出了贡献。在此,我们以组合精算神经网络和本地广义线性模型为基础,通过特征标记转换器来增强这些模型。手稿展示了所提方法在真实世界索赔频率数据集上的性能,并将其与广义线性模型、前馈神经网络、组合精算神经网络、LocalGLMnet 和纯特征标记转换器等基准模型进行了比较。论文表明,新方法可以取得比基准模型更好的结果,同时保留了底层精算模型的结构,从而继承并保留了它们的优势。本文还讨论了在精算环境中应用变换器模型的实际意义和挑战。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Enhancing actuarial non-life pricing models via transformers

Enhancing actuarial non-life pricing models via transformers

Currently, there is a lot of research in the field of neural networks for non-life insurance pricing. The usual goal is to improve the predictive power of actuarial pricing and behavioral models via neural networks while building upon the generalized linear model, which is the current industry standard. Our paper contributes to this current journey via novel methods to enhance actuarial non-life models with transformer models for tabular data. We build here upon the foundation laid out by the combined actuarial neural network as well as the localGLMnet and enhance those models via the feature tokenizer transformer. The manuscript demonstrates the performance of the proposed methods on a real-world claim frequency dataset and compares them with several benchmark models such as generalized linear models, feed-forward neural networks, combined actuarial neural networks, LocalGLMnet, and the pure feature tokenizer transformer. The paper shows that the new methods can achieve better results than the benchmark models while preserving the structure of the underlying actuarial models, thereby inheriting and retaining their advantages. The paper also discusses the practical implications and challenges of applying transformer models in actuarial settings.

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来源期刊
European Actuarial Journal
European Actuarial Journal BUSINESS, FINANCE-
CiteScore
2.30
自引率
8.30%
发文量
35
期刊介绍: Actuarial science and actuarial finance deal with the study, modeling and managing of insurance and related financial risks for which stochastic models and statistical methods are available. Topics include classical actuarial mathematics such as life and non-life insurance, pension funds, reinsurance, and also more recent areas of interest such as risk management, asset-and-liability management, solvency, catastrophe modeling, systematic changes in risk parameters, longevity, etc. EAJ is designed for the promotion and development of actuarial science and actuarial finance. For this, we publish original actuarial research papers, either theoretical or applied, with innovative applications, as well as case studies on the evaluation and implementation of new mathematical methods in insurance and actuarial finance. We also welcome survey papers on topics of recent interest in the field. EAJ is the successor of six national actuarial journals, and particularly focuses on links between actuarial theory and practice. In order to serve as a platform for this exchange, we also welcome discussions (typically from practitioners, with a length of 1-3 pages) on published papers that highlight the application aspects of the discussed paper. Such discussions can also suggest modifications of the studied problem which are of particular interest to actuarial practice. Thus, they can serve as motivation for further studies.Finally, EAJ now also publishes ‘Letters’, which are short papers (up to 5 pages) that have academic and/or practical relevance and consist of e.g. an interesting idea, insight, clarification or observation of a cross-connection that deserves publication, but is shorter than a usual research article. A detailed description or proposition of a new relevant research question, short but curious mathematical results that deserve the attention of the actuarial community as well as novel applications of mathematical and actuarial concepts are equally welcome. Letter submissions will be reviewed within 6 weeks, so that they provide an opportunity to get good and pertinent ideas published quickly, while the same refereeing standards as for other submissions apply. Both academics and practitioners are encouraged to contribute to this new format. Authors are invited to submit their papers online via http://euaj.edmgr.com.
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