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Parsimonious Parameterization of Age-Period-Cohort Models by Bayesian Shrinkage

Venter, Gary

Age-period-cohort models used in life and general insurance can be over-parameterized, and actuaries have used several methods to avoid this, such as cubic splines. Regularization is a statistical approach for avoiding over-parameterization, and it can reduce estimation and predictive variances compared to MLE. In Markov Chain Monte Carlo (MCMC) estimation, regularization is accomplished by the use of mean-zero priors, and the degree of parsimony can be optimized by numerically efficient out-of-sample cross-validation. This provides a consistent framework for comparing a variety of regularized MCMC models, such as those built with cubic splines, linear splines (as ours is), and the limiting case of non-regularized estimation.

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More About This Work

Academic Units
School of Professional Studies
Published Here
June 14, 2017

Notes

Preprint submitted to ASTIN Bulletin: The Journal of the International Actuarial Association, June 13, 2017.