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Теория на достоверността×Бонус-Малус система×Модел на разпределение на загубите×
ОбластАктюерска наукаАктюерска наукаАктюерска наука
СемействоRegression modelRegression modelRegression model
Година на възникване196719952012
СъздателHans BühlmannJean LemaireKlugman, Panjer & Willmot
ТипWeighted linear blend of individual and collective experienceActuarial experience-rating modelParametric probability model
Основополагащ източникBühlmann, H. (1967). Experience rating and credibility. ASTIN Bulletin, 4(3), 199–207. DOI ↗Lemaire, J. (1995). Bonus-Malus Systems in Automobile Insurance. Kluwer Academic Publishers. ISBN: 978-0-7923-9545-5Klugman, S. A., Panjer, H. H., & Willmot, G. E. (2012). Loss Models: From Data to Decisions (4th ed.). Wiley. ISBN: 978-1-118-31532-3
Други названияBühlmann Credibility, Experience Rating, Linear Credibility Estimator, Güvenilirlik TeorisiNo-Claim Discount System, Merit Rating System, Experience Rating in Automobile Insurance, Prim-Ceza SistemiSeverity-Frequency Model, Aggregate Loss Model, Claim Size Distribution Model, Hasar Dağılımı Modeli
Свързани323
РезюмеCredibility 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.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.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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ScholarGateСравнение на методи: Credibility Theory · Bonus-Malus System · Loss Distribution Model. Извлечено на 2026-06-19 от https://scholargate.app/bg/compare