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손실 분포 모형×극단값 이론 (Extreme Value Theory, EVT)×파산 이론×
분야보험계리학재무학보험계리학
계열Regression modelRegression modelRegression model
기원 연도201220012010
창시자Klugman, Panjer & WillmotColes (textbook treatment); McNeil, Frey & EmbrechtsFilip Lundberg; Harald Cramér
유형Parametric probability modelTail / extreme-event modelStochastic risk process model
원전Klugman, S. A., Panjer, H. H., & Willmot, G. E. (2012). Loss Models: From Data to Decisions (4th ed.). Wiley. ISBN: 978-1-118-31532-3Coles, 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
별칭Severity-Frequency Model, Aggregate Loss Model, Claim Size Distribution Model, Hasar Dağılımı ModeliEVT, generalized extreme value, generalized Pareto distribution, peaks over thresholdCollective Risk Theory, Cramér-Lundberg Theory, Probability of Ruin Analysis, Hasar Süreci Çöküş Teorisi
관련353
요약A 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.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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ScholarGate방법 비교: Loss Distribution Model · Extreme Value Theory · Ruin Theory. 2026-06-20에 다음에서 검색함: https://scholargate.app/ko/compare