The European Union strives to create sustainable, low-carbon economies; therefore, energy policies of all member states should move towards renewable energy sources (RES). That concerns also the so-called new EU member states. These countries, on the one hand, are characterized by significant historical similarities in terms of post-communist legacy and adopted development strategies linked with the EU membership, and on the other hand, by significant social, economic and environmental differences resulting from different transformation and development paths and conditions. The question remains how the selected countries should cope with actions in the field of national energy transformations to confront the multiple challenges linked to assuring a significant level of sustainable development. In order to be successful, it is necessary to conduct an effective and rapid changes in the energy industry, which should be preceded by an analysis of the differentiation of countries in terms of their potentials. The results of such analyses should be helpful in selecting the most appropriate strategies for transformation of the described industry. Therefore, the purpose of the article is to assess the new EU member states for RES diversification and identify similar subgroups of countries using cluster analysis, taking into account the percentage share of individual renewable energy sources in total renewable energy production. This was done for the years 2010, 2015 and 2019 which should allow us to demonstrate the differences between them as a group and also reveal changes recorded over time for a single country. Ward’s method was used for the analysis. The presented approach to the analysis of energy production enabled the acquisition of new knowledge in this field and supported the assessment of the current state of RES. The results obtained can be used in countries of comparable specificity to undertake activities of similar nature in relation to internal energy production, technological development or common energy policy.

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The book contains papers in finance submitted to 11th International Conference on Applied Economics Contemporary Issues in Economy, Poland 17-18 June 2021. The conference was organized by Institute of Economic Research (Poland), Polish Economic Society Branch in Toruń (Poland), Faculty of Economic Sciences, University of Warmia and Mazury in Olsztyn (Poland) in partnership with: Brno University of Technology (Czech Republic), “Constantin Brancusi” University of Targu-Jiu, Center of Fundamental and Applied Economic Studies (Romania), Lobachevsky State University of Nizhni Novgorod, Institute of Economics and Entrepreneurship (Russian Federation), Lviv Polytechnic National University (Ukraine), Pablo de Olavide University (Spain), Tomas Bata University in Zlín, Faculty of Economics and Management (Czech Republic), University of Economics in Bratislava, Faculty of Economic Informatics (Slovakia), University of Entrepreneurship and Law (Czech Republic), University of Zilina, Faculty of Operation and Economics of Transport and Communication (Slovakia), VilniusTech University, Faculty of Business Management (Lithuania), Vytautas Magnus University, Faculty of Economics and Management (Lithuania). European Regional Science Association. Polish Section, Slovak Society for Operations Research were scientific institutional partners of the conference. The conference was especially addressed to economist from all European Union countries and Eastern Europe. Main conference tracks included: (1) economics, (2) finance, (3) quantitative methods, (4) entrepreneurship and management.

Abstract. In the paper, some aspects of the convergence of series of dependent Gaussian sequences problem are solved. The necessary and sufficient conditions for the convergence of series of centered dependent indicators are obtained. Some strong convergence results for weighted sums of Gaussian functionals are discussed.

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