The paper considers the relationship between greenhouse gas emissions (GHG) as the main variable of climate change and gross domestic product (GDP), using the environmental Kuznets curve (EKC) technique. At early stages of economic growth, EKC indicates the increase of pollution related to the growing use of resources. However, when a certain level of income per capita is reached, the trend reverses and at a higher stage of development, further economic growth leads to improvement of the environment. According to the researchers, this implies that the environmental impact indicator is an inverted U-shaped function of income per capita. In this paper, the cubic equation is used to empirically check the validity of the EKC relationship for European countries. The analysis is based on the survey of EU-27, Norway and Switzerland in the period of 1995-2010. The data is taken from the Eurostat database. To gain some insights into the environmental trends in each country, the article highlights the specific relationship in the country based on the level of its development. The similarities between individual countries are analysed in order to identify their basic common features.

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-The paper analyses a traditional Environmental Kuznets Curve (EKC) relationship between greenhouse gases (GHG) and gross domestic product (GDP), extending the research to include some additional factors, such as environmental tax, research and development expenditure, implicit tax rate on energy, primary production of coal and lignite, energy intensity of the economy taken from the Eurostat database. The EKC indicates that, at the early stages of economic growth, pollution increases with the growing use of resources, but when a certain level of income per capita is reached, the trend reverses so that, at a higher development stage, further economic growth leads to the improvement of the environment. In the first part of the research, the validity of the reduced EKC for the Baltic region for the period 1995-2008 is determined. In the second part, the impact of selected factors is statistically tested. In both cases, the standard cubic equation is used because it is believed that this model is the most accurate for the development stage of this region. The research results may be useful for climate change policy design.

Abstract. Large deviations in a centered Poisson approximation are examined. For lattice distributions, the centered Poisson approximation is more universal than the normal and standard Poisson laws.

In this paper we propose a kernel-based regression model for matrix patterns (KRMP). The training algorithm is derived. The proposed model was empirically compared with traditional models.