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Model Distribusi Kerugian×Teori Kredibilitas×Teori Nilai Ekstrem (EVT)×Teori Kerugian×
BidangIlmu AktuariaIlmu AktuariaKeuanganIlmu Aktuaria
KeluargaRegression modelRegression modelRegression modelRegression model
Tahun asal2012196720012010
PencetusKlugman, Panjer & WillmotHans BühlmannColes (textbook treatment); McNeil, Frey & EmbrechtsFilip Lundberg; Harald Cramér
TipeParametric probability modelWeighted linear blend of individual and collective experienceTail / extreme-event modelStochastic risk process model
Sumber perintisKlugman, S. A., Panjer, H. H., & Willmot, G. E. (2012). Loss Models: From Data to Decisions (4th ed.). Wiley. ISBN: 978-1-118-31532-3Bühlmann, H. (1967). Experience rating and credibility. ASTIN Bulletin, 4(3), 199–207. DOI ↗Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598Asmussen, S., & Albrecher, H. (2010). Ruin Probabilities (2nd ed.). World Scientific. ISBN: 978-981-4282-52-9
AliasSeverity-Frequency Model, Aggregate Loss Model, Claim Size Distribution Model, Hasar Dağılımı ModeliBühlmann Credibility, Experience Rating, Linear Credibility Estimator, Güvenilirlik TeorisiEVT, generalized extreme value, generalized Pareto distribution, peaks over thresholdCollective Risk Theory, Cramér-Lundberg Theory, Probability of Ruin Analysis, Hasar Süreci Çöküş Teorisi
Terkait3353
RingkasanA 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.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.Extreme Value Theory is a statistical framework for modelling the rare events that live in the tail of a probability distribution. As developed in Coles (2001) and applied to risk by McNeil, Frey & Embrechts (2005), it offers two standard routes: the Generalized Extreme Value (GEV) distribution for block maxima and the Generalized Pareto Distribution (GPD), used in the peaks-over-threshold approach, for exceedances above a high threshold.Ruin Theory models the stochastic surplus process of an insurance company to quantify the probability that accumulated losses eventually exceed available capital. Introduced by Filip Lundberg in his 1903 doctoral thesis and rigorously unified by Harald Cramér in 1930, the classical Cramér-Lundberg model assumes premiums arrive at a constant rate, claims follow a compound Poisson process, and individual claim sizes are independent and identically distributed. It remains the foundational framework of collective risk theory in actuarial science.
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ScholarGateBandingkan metode: Loss Distribution Model · Credibility Theory · Extreme Value Theory · Ruin Theory. Diakses 2026-06-20 dari https://scholargate.app/id/compare