On the choice of bandwidth for kernel graduation

Author:

Gavin J. B.,Haberman S.,Verrall R. J.

Abstract

AbstractThis paper considers cross-validation as an objective and risk-based method for selecting the smoothing parameter in a non-parametric graduation. In addition, the relative merits of two kernel estimators are compared in the context of mortality graduation. Finally, it is well known in the statistical literature that the use of theoretically superior kernels is not as important as the choice of bandwidth. Our results support this conclusion, suggesting that the focus on such weights is misguided in the actuarial textbooks on moving weighted averages.

Publisher

Cambridge University Press (CUP)

Reference37 articles.

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