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Teori Kebolehpercayaan×Model Hierarki Bayesian×
BidangSains AktuariBayesian
KeluargaRegression modelBayesian methods
Tahun asal19672006
PengasasHans BühlmannGelman & Hill (2006); Bayesian multilevel tradition
JenisWeighted linear blend of individual and collective experiencehierarchical probabilistic model
Sumber perintisBühlmann, H. (1967). Experience rating and credibility. ASTIN Bulletin, 4(3), 199–207. DOI ↗Gelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. DOI ↗
AliasBühlmann Credibility, Experience Rating, Linear Credibility Estimator, Güvenilirlik Teorisimultilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling model
Berkaitan34
RingkasanCredibility Theory is an actuarial framework for estimating the pure premium of an individual risk by blending its own observed loss experience with the collective (portfolio) mean. Introduced by Hans Bühlmann in 1967, the method derives the optimal linear combination—the credibility-weighted premium—that minimises mean squared error. It extends classical experience rating to a rigorous statistical footing rooted in Bayesian and linear estimation principles.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.
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ScholarGateBandingkan kaedah: Credibility Theory · Bayesian Hierarchical Model. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare