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Invariantly recursive credibility estimation
Authors:Bjørn Sundt
Institution:University of Oslo, Norway and Eidgenössische Technische Hochschule, Zürich, Switzerland
Abstract:Necessary and sufficient conditions are given for recursivity of credibility estimators to be invariant against changes in term-length. A stationary invariant risk process is analysed, and a concept of asymptotic efficiency is developed.
Keywords:Credibility estimation  Linear recursions  Invariance  Asymptotic efficiency  Parameter estimation
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