Claims reserving and claims process estimation present classical problems in general insurance. The overall reserves are often determined under the assumption of independence among the lines of business. Though, recently modelling of the dependence among multiple lines of business has become crucial issue of reserving process. In this context, copulae provide a useful tool to construct models which go beyond the classical ones in terms of dependence structure. This thesis deals, in particular, with the copula regression model, its properties and possible applications in general insurance. This approach combines GLM modelling of margins and then expressing the dependence structure using copula. The theoretical methods are illustrated on a real dataset.

This presented thesis deals with applications of Tweedie compound Poisson model in non-life insurance pricing and claims reserving. Tweedie models are exponen- tial dispersion models with power mean-variance relationships and compound Poisson distribution is a particular Tweedie model. The interest in Tweedie com- pound Poisson model is motivated by its applications to generalized linear models (GLMs) and generalized estimation equations (GEE). The purpose of this thesis is to construct pricing and claims reserving models in which the response variables follow Tweedie compound Poisson model. Theoretical approaches are applied on the real datasets. 1

The master thesis analyzes the property insurance for citizens in the Czech Republic with main focus on buildings insurance, household insurance, and accident insurance for non-rail vehicles. The goal of this thesis is to analyze the development of insurance market indicators of the products stated above and to predict their future behavior. To help with the understanding of the practical part, basic terminology and trends in the general insurance market are included in this work. The main indexes to be analyzed are: premium written, claims paid, loss ratio, number of contracts made, average written premium per contract, number of claims settled, average written premium per insured event, and the number of commercial insurance companies. The main data sources for time series analysis for the period between the years 1997 and 2015 are the annual reports of the Czech Insurance Association. The time series analysis showed that building insurance and household insurance are strongly affected by natural disasters - in the Czech Republic the main impact have floods. Since the main purpose of the accident insurance is to cover accidents, it is only partially impacted by natural disasters. The popularity of property insurance has an increasing tendency, which is shown by the insurance market indicators. Box-Jenkins methodology was used to forecast the future development of the insurance market. Similarly to other insurance products, the property insurance undergoes certain changes, to which the insurance companies must respond. These trends are mainly connected to the higher usage of modern technologies - for instance Internet of Things, introduction of Smart Homes or the ,,Pay How-You-Drive'' insurance.

This thesis deals with analysis of developments in insurance penetration in Central European countries. Initially is devoted to the comparison of world and European insurance market by insurance penetration indicators. The following section is related to the development of insurance penetration in selected Central and Eastern European countries. The thesis is then finished by an analysis of insurance markets of the Visegrad Four.

This diploma work deal with the charakteristics of risks imperilling the cynological organisation and their members. The diploma work contains theory, risk analysis, offer and comparison insurance products of commercial insurance company. On the end is the offer of a concrete insurance product.

This thesis concerns the question of the suitable insurance portfolio for chosen enterprise - SMERO, spol.s r.o. The thesis contains risk analysis and also the concept of insurance portfolio that aims to minimize the most serious risks influencing the business using insurance products.

The main goal of this Diploma thesis is to describe an approach for modeling run-off triangles of nonlife insurance (calculation of IBNR reserve) based on state space models and apply the method to the selected run-off triangles. In difference from (Atherino a kol., 2010) the KFAS package in R software is used for modeling purposes in the numerical study at the end of the thesis. One provides a preview of various possibilities of data and model adjustment applied to the same run-off triangles in order to asses added value of these steps (logartihmic transformation of input data, interventions for outliers etc.). A special attention is devoted to lognormal modification of the basic state space model. An integral part of the numerical study in the thesis is a residual diagnostic of models and simulation approach to IBNR reserves. 1

The main objective of this diploma thesis is the analysis of the products of motor insurance offered on the insurance market in the Czech Republic. The first part focuses on character and meaning of this products and clarification of some concepts. The next part describes current situation and development in the insurance market followed by the very topical stiff competition. The last part is devoted to the analysis of supply in the market of car insurance itself and its evaluation from the point of view of various parameters and criteria.

The work is focused on the analysis of the insurance market in the Czech Republic. On the grounds of the results of the analysis, there were chosen three largest insurances on the Czech market. Consequently it was described their development over the past five years. The main aim is to compare the selected products of the non-life insurance with those insurers. It was compared offers of lability insurance and accident insurance. On the grounds of results there is no reason to change the existing lability from the insurer Kooperativa. The best option of accident insurance was chosen the offer from the same insurer Kooperativa. In the market is currently no better option insurance premium for my car under my requirements. The best way to negotiate the insurance business as through meetings with insurance company representative.

This thesis covers stochastic claims reserving in non-life insurance based on individual claims developments. Summarized theoretical methods are applied on data from Czech Insurers' Bureau for educational purposes. The problem of estimation is divided into four parts: oc- curence process generating claims, delay of notification, times between events and payments. Each part is estimated separately based on maximum likelihood theory and final estimates allow us to obtain an estimate of future liabilities distribution. The results are very promis- ing and we believe this method is worth of a further research. Contribution of this work is more rigorous theoretical part and application on data from the Czech market with some new ideas in practical part and simulation. 1