The article presents a collective risk model for the insurance claims. The objective is to estimate a premium, which is defined as a functional specified up to unknown parameters. For this purpose, the Bayesian methodology, which combines the prior knowledge about certain unknown parameters with...

The goal of this study is to get a premium calculation principle, for the life insurance business, based on a coherent risk measure (Wang, 1995) in the form of power, called \Proportional Hazards (PH) Transforms" to justify the recommendation of Solvency II to reduce the effect of the mortality...

Abstract In our previous work, we have extended the classical notion of increasing convex stochastic dominance relation with respect to a probability to the more general case of a normalized monotone (but not necessarily additive) set function, also called a capacity. In the present paper, we...

A multiple-sample semiparametric density ratio model, which is equivalent to a generalized logistic regression model, can be constructedby multiplicative exponential distortions of a reference distribution. Distortion functions are assumed to be nonnegative and of a known finite-dimensional...

The goal of this research is to obtain a premium calculation principle, for the life business, based on a coherent risk measure, distorted probabilities with the Wang distortion function in the form of power, called 'Proportional Hazards (PH) Transforms'. It justifies the recommendation of...