เปรียบเทียบวิธี

	ทฤษฎีความน่าเชื่อถือ	แบบจำลองลำดับชั้นแบบเบย์ (Bayesian Hierarchical Model)	ระบบโบนัส-มาลัส
สาขาวิชา	คณิตศาสตร์ประกันภัย	เบย์	คณิตศาสตร์ประกันภัย
ตระกูล	Regression model	Bayesian methods	Regression model
ปีกำเนิด	1967	2006	1995
ผู้ริเริ่ม	Hans Bühlmann	Gelman & Hill (2006); Bayesian multilevel tradition	Jean Lemaire
ประเภท	Weighted linear blend of individual and collective experience	hierarchical probabilistic model	Actuarial experience-rating model
แหล่งต้นตำรับ	Bühlmann, H. (1967). Experience rating and credibility. ASTIN Bulletin, 4(3), 199–207.	Gelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press.	Lemaire, J. (1995). Bonus-Malus Systems in Automobile Insurance. Kluwer Academic Publishers. ISBN: 978-0-7923-9545-5
ชื่อเรียกอื่น	Bühlmann Credibility, Experience Rating, Linear Credibility Estimator, Güvenilirlik Teorisi	multilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling model	No-Claim Discount System, Merit Rating System, Experience Rating in Automobile Insurance, Prim-Ceza Sistemi
ที่เกี่ยวข้อง	3	4	2
สรุป	Credibility 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.	A Bonus-Malus System (BMS) is an actuarial experience-rating mechanism used primarily in automobile insurance to adjust individual policyholders' premiums based on their personal claim history. Policyholders who remain claim-free receive premium discounts (bonus), while those who file claims are penalised with surcharges (malus). The framework was comprehensively formalised and analysed by Jean Lemaire in his landmark 1995 monograph, which remains the definitive reference for the design and evaluation of such systems worldwide.