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EN
The article deals with the credibility regression models. The theory of credibility is a summary of methods used for a calculation and a systematic correction of the net premiums. The credibility models are designed for situations where the average claim amount evolves in time or depends on the other measurable factors. The methods of the regression analysis were for the first time used in the theory of credibility by Hachemeister. His model (model HM) was adjusted by De Vylder for the purpose of the practical application. Even though the Hachemeister's model does not result in a compromise premium, which is the basic requirement expected from the credibility models, it provided important information for De Vylder's model created in 1985. The main aim of this article is to show the alternatives of an application of DV85 model in the accident automobile insurance, i.e. in the mandatory contractual insurance.
EN
The incidence of serious diseases in most European countries has a growing trend compared to mortality due to these illnesses. There are significant differences in the health status of the population not only between countries but also within them. The goal of the health policy of the European Union and its member states is not only to reduce the incidence of serious diseases but also mitigate regional inequalities of their incidence. The object of this article is to compare incidences of serious diseases within the regions in the Czech Republic by using hybrid approach which combines multidimensional scaling with linear ordering of the objects. Hybrid approach is suitable for visualization of objects and determination of distances from ideal object according to indicators used. The factors of regional inequalities in the incidence of serious diseases are identified and quantified based on the results of hybrid method.
EN
This article contains the results of analysis of the highest wages of the employees in the Slovak Republic in 2010 using the methods of statistical inference. The information from the sample of the employees with wage higher than the 99th percentile of sampling data is generalized to the population using the Pareto distribution of wages. There are also identified the factors that have a significant impact on the frequency and on the level of extreme wages. These factors are gender, classification of occupations, industry, region of residence and age interval. The analysis has not confirmed a significant effect of the factor level of education on the amount of gross monthly salary of the employees in Slovakia with wage exceeds the upper percentile. According to these factors the paper identified groups of employees with the highest proportion or with the highest level of gross monthly salaries higher than 99th percentile in Slovakia in 2010.
EN
This article contents the methods and the results of distribution modelling of household's income in the Slovak Republic based on sampling data of yearly real net income of 1 566 households in the year 2002. Goodness of fit tests confirms the Weibull distribution with maximum likelihood estimation of parameters as the best-fit model, except the intervals of the lowest and the highest values of incomes. Two Weibull-Pareto quantile functions have been found as good fit models for the lowest and the highest incomes too.
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