CAJ | 학술논문

本文地将贝叶斯非线性分层模型应用于基于不同业务线的多元索赔准备金评估中，设计了一种合适的模型结构，将非线性分层模型与贝叶斯方法结合起来，应用Win BUGS软件对精算实务中经典流量三角形数据进行建模分析，并使用MCMC方法得到了索赔准备金完整的预测分布。这种方法扩展并超越了已有多元评估方法中最佳估计和预测均方误差估计的研究范畴。在贝叶斯框架下结合后验分布实施推断对非寿险公司偿付能力监管和行业决策具有重要作用。
본문지장패협사비선성분층모형응용우기우불동업무선적다원색배준비금평고중，설계료일충합괄적모형결구，장비선성분층모형여패협사방법결합기래，응용Win BUGS연건대정산실무중경전류량삼각형수거진행건모분석，병사용MCMC방법득도료색배준비금완정적예측분포。저충방법확전병초월료이유다원평고방법중최가고계화예측균방오차고계적연구범주。재패협사광가하결합후험분포실시추단대비수험공사상부능력감관화행업결책구유중요작용。
The paper innovatively proposed a Bayesian non-linear hierarchical model for multivariate stochastic claims reserving based on different business lines, designed a suitable model structure through combining non-linear hierarchical model with Bayesian method, so as to provide some numerical analysis for the classic run off triangles data in the actuarial practice with WinBUGS software, and further ob- tained the complete predictive distributions of claims reserves under the hierarchical model structure using MCMC stochastic simulation method. The proposed method extends and goes beyond best estimators and estimators of mean square error of prediction for claims reserves at the present multivariate claims reserving methods. The ability of the Bayesian framework to carry out simultaneous inference based on the joint posterior distributions is of great importance for non-life insurance solvency monitoring and industry decision making.