Hierarchical Bayesian Whittaker Graduation
Year: 1993
Type: article
Abstract: The Whittaker method of graduation has been known and used for a long time and has remained popular due to its possession of a number of ideal properties. They include being nonparametric and having an easy to understand foundation. The latter means that it makes sense and thus the user of the method has a good idea of what it can and cannot do. As well, there is a statistical derivation available that uses Bayesian notions. A problem with the derivation is that it is more intuitive than precise and as such does not provide a useful frame of reference for the graduator. Regardless of the point of view, the graduation cannot be completed until the smoothing parameter is selected and this has always relied on the judgment of the analyst. In this paper, three tasks will be undertaken. The first is to replace the ad-hoc Bayesian derivation of the method with a formal Bayesian specification. The second is to show that with this specification it is possible to complete the graduation without making an ...
Source: Scandinavian Actuarial Journal
Authors: Bradley P. Carlin, Stuart A. Klugman
Institution: University of Minnesota
Language: English
Subfield: Demography
Field: Social Sciences
Domain: Social Sciences
Open Access status: hybrid
OpenAlex ID: W50255772