提高成本复杂性修剪了Tweedie回应上的树:保险费率制定的ABT机器

IF 1.6 3区 经济学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Julie Huyghe, Julien Trufin, Michel Denuit
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引用次数: 0

摘要

摘要提出了一种基于成本复杂度剪枝树的前向逐级加性建模的提升机。在Tweedie的例子中,它直接处理观察到的响应,而不是损失函数的梯度。分数中包含的树以一种自适应的方式逐渐减少到根节点。因此,所提出的自适应增强树(ABT)机器在该时间自动停止,避免了采用耗时的交叉验证方法。对机动车第三方责任保险索赔数据进行的案例研究表明,与常规梯度提升树相比,所提出的ABT机器在费率制定方面的性能更好。关键词:风险分类提升梯度提升回归树成本复杂性修剪披露声明作者未报告潜在利益冲突。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Boosting cost-complexity pruned trees on Tweedie responses: the ABT machine for insurance ratemaking
AbstractThis paper proposes a new boosting machine based on forward stagewise additive modeling with cost-complexity pruned trees. In the Tweedie case, it deals directly with observed responses, not gradients of the loss function. Trees included in the score progressively reduce to the root-node one, in an adaptive way. The proposed Adaptive Boosting Tree (ABT) machine thus automatically stops at that time, avoiding to resort to the time-consuming cross validation approach. Case studies performed on motor third-party liability insurance claim data demonstrate the performances of the proposed ABT machine for ratemaking, in comparison with regular gradient boosting trees.Keywords: Risk classificationboostinggradient boostingregression treescost-complexity pruning Disclosure statementNo potential conflict of interest was reported by the author(s).
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来源期刊
Scandinavian Actuarial Journal
Scandinavian Actuarial Journal MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-STATISTICS & PROBABILITY
CiteScore
3.30
自引率
11.10%
发文量
38
审稿时长
>12 weeks
期刊介绍: Scandinavian Actuarial Journal is a journal for actuarial sciences that deals, in theory and application, with mathematical methods for insurance and related matters. The bounds of actuarial mathematics are determined by the area of application rather than by uniformity of methods and techniques. Therefore, a paper of interest to Scandinavian Actuarial Journal may have its theoretical basis in probability theory, statistics, operations research, numerical analysis, computer science, demography, mathematical economics, or any other area of applied mathematics; the main criterion is that the paper should be of specific relevance to actuarial applications.
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