เปรียบเทียบวิธี

	ทฤษฎีความน่าเชื่อถือ	แบบจำลองลำดับชั้นแบบเบย์ (Bayesian Hierarchical Model)	แบบจำลองการกระจายความเสียหาย
สาขาวิชา	คณิตศาสตร์ประกันภัย	เบย์	คณิตศาสตร์ประกันภัย
ตระกูล	Regression model	Bayesian methods	Regression model
ปีกำเนิด	1967	2006	2012
ผู้ริเริ่ม	Hans Bühlmann	Gelman & Hill (2006); Bayesian multilevel tradition	Klugman, Panjer & Willmot
ประเภท	Weighted linear blend of individual and collective experience	hierarchical probabilistic model	Parametric probability 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.	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
ชื่อเรียกอื่น	Bühlmann Credibility, Experience Rating, Linear Credibility Estimator, Güvenilirlik Teorisi	multilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling model	Severity-Frequency Model, Aggregate Loss Model, Claim Size Distribution Model, Hasar Dağılımı Modeli
ที่เกี่ยวข้อง	3	4	3
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 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.