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| Mô hình phân cấp Bayes× | Mô hình Phân phối Tổn thất× | |
|---|---|---|
| Lĩnh vực≠ | Bayes | Khoa học định phí bảo hiểm |
| Họ≠ | Bayesian methods | Regression model |
| Năm ra đời≠ | 2006 | 2012 |
| Người khởi xướng≠ | Gelman & Hill (2006); Bayesian multilevel tradition | Klugman, Panjer & Willmot |
| Loại≠ | hierarchical probabilistic model | Parametric probability model |
| Công trình gốc≠ | Gelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. DOI ↗ | Klugman, S. A., Panjer, H. H., & Willmot, G. E. (2012). Loss Models: From Data to Decisions (4th ed.). Wiley. ISBN: 978-1-118-31532-3 |
| Tên gọi khác≠ | multilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling model | Severity-Frequency Model, Aggregate Loss Model, Claim Size Distribution Model, Hasar Dağılımı Modeli |
| Liên quan≠ | 4 | 3 |
| Tóm tắt≠ | Bayesian hierarchical modelling, popularised by Gelman and Hill (2006), is a Bayesian approach to nested data structures — such as students within schools within districts — that estimates separate parameters at each level while allowing those levels to share statistical strength through a mechanism called partial pooling. Where a classical hierarchical linear model treats group means as fixed unknown quantities, the Bayesian version places hyperprior distributions on those group means so that information flows freely across levels, producing more reliable group-level estimates whenever any individual group has few observations. | A Loss Distribution Model is a parametric statistical framework used in actuarial science to characterise the probabilistic behaviour of insurance claim amounts and frequencies. Developed comprehensively by Klugman, Panjer, and Willmot in their foundational text Loss Models: From Data to Decisions (first edition 1998, fourth edition 2012), these models underpin premium rating, reserving, reinsurance pricing, and regulatory capital calculations across the insurance and risk-management industries. |
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