Insurance Models Under Incomplete Information

The aim of the chapter is optimization of insurance company performance under incomplete information. To this end, we consider the periodic-review model with capital injections and reinsurance studied by the authors in their previous paper for the case of known claim distribution. We investigate the stability of the one-step and multi-step model in terms of the Kantorovich metric. These results are used for obtaining almost optimal policies based on the empirical distributions of underlying processes.