مراد علیزاده

‎In this thesis‎, ‎we investigate the effect of inflation‎, ‎truncation or censoring from below (use of a deductible) and truncation or censoring from above (use of a policy limit) on the entropy of losses of insurance policies‎. ‎Losses are differentiated between per-payment and per-loss (franchise deductible)‎. ‎we study the properties of the resulting entropies such as the residual loss entropy and the past loss entropy which are the result of use of a deductible and a policy limit‎, ‎respectively‎. ‎Interesting relationships between these entropies are presented‎. ‎The combined effect of a deductible and a policy limit is also studied‎. ‎We also study residual and past entropies for survival models‎. ‎Finally‎, ‎an application is presented involving the well-known Danish data set on fire losses