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arXiv 2510.04556stat.MLcs.LGmath.STq-fin.STstat.APstat.TH
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模型监控:一个通用框架及其在非寿险定价中的应用

Model Monitoring: A General Framework with an Application to Non-life Insurance Pricing

Department of Mathematics, ETH Zurich(数学系,苏黎世联邦理工学院)

Alexej Brauer, Paul Menzel, Mario V. Wüthrich

AI总结:

本文提出一个通用模型监控框架,用于非寿险定价中的概念漂移检测与模型校准,通过Gini分数和自动校准测试提升模型性能评估的统计可靠性。

摘要:

在保险组合和数据生成机制随时间演变时,维持定价模型的预测性能具有挑战性。针对非寿险,我们从机器学习中采用概念漂移术语,并在精算环境中区分虚拟漂移与真实概念漂移。方法上,我们(i)正式化偏差损失和Murphy's分数分解以评估全局和局部自动校准;(ii)研究Gini分数作为基于排名的性能度量,推导其渐近分布,并开发一致的自助估计器以估计其渐近方差;(iii)将这些结果整合成一个统计上站得住、模型无关的监控框架,该框架整合了基于Gini的排名漂移检验与全局和局部自动校准检验。一个应用于修改后的机动车保险组合并具有受控概念漂移场景的应用示例展示了该框架如何指导重新拟合或重新校准定价模型的决策。

英文摘要:

Maintaining the predictive performance of pricing models is challenging when insurance portfolios and data-generating mechanisms evolve over time. Focusing on non-life insurance, we adopt the concept-drift terminology from machine learning and distinguish virtual drift from real concept drift in an actuarial setting. Methodologically, we (i) formalize deviance loss and Murphy's score decomposition to assess global and local auto-calibration; (ii) study the Gini score as a rank-based performance measure, derive its asymptotic distribution, and develop a consistent bootstrap estimator of its asymptotic variance; and (iii) combine these results into a statistically grounded, model-agnostic monitoring framework that integrates a Gini-based ranking drift test with global and local auto-calibration tests. An application to a modified motor insurance portfolio with controlled concept-drift scenarios illustrates how the framework guides decisions on refitting or recalibrating pricing models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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