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Rezerovanie strát metódou reťazových schodov (Mackov model)×Bootstrap inferencia×Zovšeobecnené metódy najmenších štvorcov (GLS)×
OdborPoistná matematikaŠtatistikaŠtatistika
RodinaRegression modelRegression modelRegression model
Rok vzniku199319791935
TvorcaThomas MackBradley EfronAlexander Craig Aitken
TypStochastic loss reserving modelResampling-based inferenceLinear estimator
Pôvodný zdrojMack, T. (1993). Distribution-free calculation of the standard error of chain ladder reserve estimates. ASTIN Bulletin, 23(2), 213–225. DOI ↗Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗
Ďalšie názvyDevelopment Factor Method, Link Ratio Method, Loss Development Method, Zincir Merdiven Yöntemibootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap ÇıkarımıGLS, Aitken estimator, EGLS, feasible GLS
Príbuzné353
ZhrnutieChain-Ladder Reserving is a stochastic actuarial method for estimating outstanding claim liabilities from a run-off triangle of cumulative paid losses. Formalized by Thomas Mack in 1993, it provides distribution-free estimates of reserve amounts along with their standard errors, making it a cornerstone of property-casualty insurance reserving and regulatory practice worldwide.Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in small samples.Generalized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models.
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ScholarGatePorovnať metódy: Chain-Ladder Reserving · Bootstrap Inference · Generalized Least Squares. Získané 2026-06-19 z https://scholargate.app/sk/compare