Hostname: page-component-84b7d79bbc-dwq4g Total loading time: 0 Render date: 2024-07-29T00:05:51.033Z Has data issue: false hasContentIssue false

Equity and Exact Credibility

Published online by Cambridge University Press:  29 August 2014

Virginia R. Young
Affiliation:
Actuarial Science, School of Business, University of Wisconsin-Madison, 975 University Avenue, Madison, Wisconsin 53706-1323, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We consider an alternative to the usual credibility premium that arises from squared-error loss, namely, a so-called equitable credibility premium (Promislow and Young, 1999). We derive formulas for the credibility weight in certain cases and give sufficient conditions for exact credibility.

Type
Articles
Copyright
Copyright © International Actuarial Association 2000

References

Bühlmann, H. (1967) Experience rating and credibility, ASTIN Bulletin 4, 199207.CrossRefGoogle Scholar
Bühlmann, H. (1970) Mathematical Models in Risk Theory, Springer-Verlag, New York.Google Scholar
Jewell, W.S. (1974a) Credibility is exact Bayesian for exponential families, ASTIN Bulletin 8, 7790.CrossRefGoogle Scholar
Jewell, W.S. (1974b) Regularity conditions for exact credibility, ASTIN Bulletin 8, 336341.CrossRefGoogle Scholar
Klugman, S., Panjer, H., and Willmot, , (1998). Loss Models: From Data to Decisions, Wiley, New York.Google Scholar
Lehmann, E.L. (1991) Theory of Point Estimation, Wadsworth, Pacific Grove, California.CrossRefGoogle Scholar
Promislow, S.D. (1987) Measurement of equity, Transactions of the Society of Actuaries 39, 215256.Google Scholar
Promislow, S.D. (1991) An axiomatic characterization of some measures of unfairness, Journal of Economic Theory 53, 345368.CrossRefGoogle Scholar
Promislow, S.D. and Young, V.R. (1999) Equity and credibility, Scandinavian Actuarial Journal, to appear.Google Scholar
Venter, G. (1990) Credibility, Foundations of Casualty Actuarial Science, Casualty Actuarial Society, New York.Google Scholar