Department of Finance
Date of this Version
2004
Document Type
Article
Citation
Journal of Actuarial Practice 11 (2004), pp. 197-216
Abstract
We present a geometric approach to studying greatest accuracy credibility theory. Our main tool is the concept of orthogonal projections. We show, for example, that to determine the Buhlmann credibility premium is to find the coefficients of the minimum-norm vector in an affine space spanned by certain orthogonal random variables. Our approach is illustrated by deriving various common credibility formulas. Several equivalent forms of the credibility factor Z are derived by means of similar triangles.
Included in
Accounting Commons, Business Administration, Management, and Operations Commons, Corporate Finance Commons, Finance and Financial Management Commons, Insurance Commons, Management Sciences and Quantitative Methods Commons
Comments
Copyright 2004 Absalom Press