Credible Means Are Exact Bayesian for Exponential Families.
CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER
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The credibility formula used in casualty insurance experience rating is known to be exact for certain prior-likelihood distributions, and, the minimum least-squares unbiased estimator for all others. The author shows that credibility is also exact for all simple exponential families,and is also true in an extended sense for all regular distributions with a fixed-dimensional sufficient statistic. Author
- Economics and Cost Analysis
- Operations Research