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Linear Filtering and Recursive Credibility Estimation

Ben Zehnwirth

ASTIN Bulletin, 1985, vol. 15, issue 1, 19-35

Abstract: Recursive credibility estimation is discussed from the viewpoint of linear filtering theory. A conjunction of geometric interpretation and the innovation approach leads to general algorithms not developed before. Moreover, covariance characterizations considered by other researchers drop our elegantly as a result of geometric considerations. Examples are presented of Kalman type filters valid for non-Gaussian measurements.

Date: 1985
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