The aim of this bachelor thesis is to introduce reader to possibilities of empirical analysis of insurance claims. Benefit of this thesis is description of effects that certain variables have on occurrence of insurance claims, while using wide range of suitable modelling techniques. Before the techniques are presented, reader is briefly introduced to issues of car insurance company. Insurance claims are modelled by most common techniques such as models with binary response variable and count models as well as survival analysis, which uses variable capturing number of days until claim occur. Results of above mentioned models are discussed and subsequently compared, which allows to demonstrate robustness of these results