The present paper provides a unifying survey of Bayesian models in different areas of actuarial mathematics. Bayesian models are discussed with regard to claim number processes, experience rating, and experience reserving. Most models are parametric, but experience rating is also considered in...

The present paper provides a unifying survey of Bayesian models in different areas of actuarial mathematics. Bayesian models are discussed with regard to claim number processes, experience rating, and experience reserving. Most models are parametric, but experience rating is also considered in...

Intuition based on the usual interpretation of the covariance of two random variables suggests that the inequality cov[f(X),g(X)]≥0 should hold for any random variable X and any two increasing functions f and g. The inequality holds indeed, but a proof is hard to find in the literature. In...