Calculate classical (limited fluctuation), Buhlmann, Buhlmann-Straub, and Bayesian credibility-weighted estimates for frequency, severity, and aggregate loss.

Free CAS MAS-II (Modern Actuarial Statistics II) lesson in Introduction to Credibility. 18 min read, ~2,656 words.

Classical (limited fluctuation):, with Poisson full-credibility standard expected claims set by confidence level and tolerance. Severity and aggregate raise the standard: severity multiplies by, aggregate by, so aggregate always needs the most data. Buhlmann: with; higher process variance lowers, higher between-risk variance raises it. Buhlmann is the best linear unbiased...

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