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Regression credibility estimator with two-level common effects

Qiang Zhang and Ping Chen

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 4, 910-931

Abstract: In this paper, we extend the regression credibility model to account for a type of dependence structures over individual risks and portfolio risks induced by common effects. By using orthogonal projection approach, the corresponding credibility estimators are derived, which extend those for the existing models to slightly more general versions. Finally, a numerical example is presented to show the effectiveness of the regression credibility estimator.

Date: 2021
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DOI: 10.1080/03610926.2019.1643887

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