ScholarGate
Ассистент

Сравнение методов

Просматривайте выбранные методы рядом; строки с различиями подсвечены.

Метод цепных лестниц для резервирования убытков (модель Мака)×Обобщенный метод наименьших квадратов (ОМНК)×
ОбластьАктуарная наукаСтатистика
СемействоRegression modelRegression model
Год появления19931935
Автор методаThomas MackAlexander Craig Aitken
ТипStochastic loss reserving modelLinear estimator
Основополагающий источникMack, T. (1993). Distribution-free calculation of the standard error of chain ladder reserve estimates. ASTIN Bulletin, 23(2), 213–225. 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 ↗
Другие названияDevelopment Factor Method, Link Ratio Method, Loss Development Method, Zincir Merdiven YöntemiGLS, Aitken estimator, EGLS, feasible GLS
Связанные33
СводкаChain-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.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.
ScholarGateНабор данных
  1. v1
  2. 1 Источники
  3. PUBLISHED
  1. v1
  2. 3 Источники
  3. PUBLISHED

Перейти к поиску Скачать слайды

ScholarGateСравнение методов: Chain-Ladder Reserving · Generalized Least Squares. Получено 2026-06-19 из https://scholargate.app/ru/compare