We analyse models for panel data that arise in risk allocation problems, when a given set of sources are the cause of an aggregate risk value. We focus on the modeling and forecasting of proportional contributions to risk. Compositional data methods are proposed and the regression is flexible to...

This paper unifies the work on multiple reinsurers, distortion risk measures, premium budgets,and heterogeneous beliefs. An insurer minimizes a distortion risk measure, while seekingreinsurance with finitely many reinsurers. The reinsurers use distortion premium principles, andthey are allowed...