Purpose. Investigation of multicollinearity in multifactorial economic and mathematical regression models of activity of Inhu lets Mining and Processing Plant and reduction of its negative influence based on application of the parameterization method.Methodology. To reduce the negative impact of multicollinearity in multifactorial regression models, a technique is developed that is based on the transition from the function of several variables to its parametric representation by analyzing the correlation matrix between factors in order to eliminate mutual correlation.findings. Economic and mathematical modeling of the activity of the JSC Inhulets Mining and Processing Combine showed that the presence of multicollinearity when applying a multifactor regression model leads to a distortion of the obtained results, which reduces the practical value of the model. The application of the parametrization method made it possible to reduce the in fluence of multicollinearity by providing parametric representations of the economicmathematical model of holding the real economic process. The application of the parameterization method makes it easier to construct an economicmathematical mod el in the form of regression equations, to reduce the negative impact of multicollinearity in the implementation and meaningful analysis of features of economic and mathematical modeling using multivariate regression equations. originality. For the first time, the application of the parameterization method is proposed, which allows us to simplify the construction of an economicmathematical model in the form of regression equations. Using the parameterization method allows reducing the uncertainty in the synthesis of multivariate regression equations, ensuring appropriate adequacy.Practical value. The analysis of the obtained results of economic and mathematical modeling of the activity of the Inhulets Mining and Processing Plant based on significant statistical material using the developed algorithm of elimination of multicol linearity confirmed the effectiveness of the proposed approach. It is recommended to include the developed algorithm for elimina tion of multicollinearity by parametrization in the practice of management of economic activity of mining enterprises.
Objective. The objective of the present article is construction of economic and mathematical model of functioning of non-state pension funds of Ukraine for making optimal quantitative decisions in the process of their activity. Methods. The article investigates and considers the construction of economic and mathematical model of private pension funds in order to make optimal quantitative decisions in the process of their activities. The analysis of the private pension fund as an economic object is carried out. The possibility of choosing a linear dynamic continuous deterministic structure of its model is proved. The expediency of using economic and mathematical modeling as one of the effective methods of research of non-state pension fund is determined. The use of modern economic and mathematical methods and models will allow to fully analyze the functioning of private pension funds and determine the directions of making optimal quantitative decisions in the process of their activities. Results. The activity of the non-state pension fund as an economic object is analyzed. The possibility of choosing a linear dynamic continuous deterministic structure of its model is proved. The expediency of using economic and mathematical modeling as one of the effective methods of research of non-state pension fund is determined. It is noted that when making this or that decision, one cannot proceed simply from their positive impact on the further development of private pension provision. When building the model of a private pension fund, attention is focused on a special case when the input is a scalar value, ie there is only one source of funding.
Objective. The objective of the study is to analyze the main trends and features of e-commerce in Ukraine and identify prospects for its further development. Methods. To achieve the objective, the following research methods are used: systematic and comprehensive analysis (to identify trends in e-commerce in the world and the domestic economy), comparison and grouping, graphical and tabular methods (for visual representation of statistical material), abstract-logical method (for formulation of proposals and conclusions). Results. The indicators of e-commerce development in the world are analyzed. The main tendencies of the e-commerce market of Ukraine are investigated. Based on the analysis of the dynamics of the volume and structure of the e-commerce market of Ukraine, the growth of indicators in 2015-2021 is established and growth is expected in the future. Assessment of the market structure by major sellers shows that it is dominated by marketplaces. Analysis of the product structure of the Ukrainian e-commerce market shows that the largest segments are electronics and media, fashion, furniture and appliances. According to experts, the market in Ukraine has great potential, because the e-costs of one Ukrainian are far behind the developed world and European countries. The key trends of e-commerce in Ukraine in recent years are summarized. They include: the growing share of mobile traffic, fast payment methods, a variety of payment systems. reviving e-commerce in the regions by improving the logistics network and increasing the level of Internet penetration in the regions, fast and affordable delivery, increasing the number of purchases on credit, the transformation of online stores into marketplaces; provision of additional services, omnichannel, significant influence of social networks, promotion of chatbots, etc. The main problems of e-commerce development in Ukraine are systematized. The trends in the development of the e-commerce market during the war between Russia and Ukraine have been revealed. It is established that the key directions of e-commerce development in Ukraine in the near future will be: maximum process automation, providing range for customers, quality control, omnichannel model of work, development of marketplaces and logistics, increasing filling centers, information touching the customer where it is convenient and appropriate, increasing the share of sales on foreign marketplaces, promotion through social networks, native advertising and publications in the media, the introduction of new technologies, training. Key words: e-commerce, e-trade, development trends, online commerce.
Objective. The objective of the present article is to determine the etiology of certain types of effects using the construction of a hierarchical tree of Euclidean distances based on the segregation of the effects of using the innovative potential of tourist enterprises. Methods. In the research process, the following methods were used: theoretical generalization methods (for the segregation of the effects of using the innovative potential of tourism enterprises), the method of expert evaluations (to identify the presence or absence of certain types of effects of the use of the innovative potential at the studied enterprises), analysis and synthesis (for the segregation of the effects of using the innovative potential of tourist enterprises enterprises for a specified period), graphic (to determine the connections of various types of effects on tourism enterprises of individual clusters). Results. The issues of segregation of the effects of the use of innovative potential in tourism enterprises are relevant and require quantitative measurement. Therefore, based on the theoretical study of the opinions of a number of authors, the following types of effects of using innovative potential are proposed, depending on the nature of their occurrence: economic, investment, budgetary, resource, environmental, social, tourism, market, commercial, reputational, technical, intellectual, legal. The segregation of the effects of using the innovative potential of tourism enterprises of individual clusters (explerents, violets, patients, commuters) for 2013–2019 was carried out. A hierarchical tree of Euclidean distances was built to determine the relationships of various types of effects in the tourism enterprises of individual clusters. The resulting taxonomy makes it possible to group effects that are homogeneous in relation to the use of innovative potential. According to the connections formed, it is possible to single out groups of the most closely related effects in accordance with the clusters under study: the effects at the enterprises-explerents are grouped as follows: 1) economic, tourism, investment, commercial, market, technical effects; 2) market, technical, budgetary effects; 3) resource, intellectual, legal effects; effects at enterprises-violents are grouped as follows: 1) economic, market, social, commercial, tourist effects; 2) market, intellectual, technical effect; 3) intellectual, investment, budgetary, resource effects; effects at patient enterprises are grouped as follows: 1) economic, resource, social, tourism, market, reputational effects; 2) budgetary, environmental, technical, tourist effects; 3) investment, intellectual effects; effects at switching enterprises are grouped as follows: 1) economic, resource, tourism, technical, commercial, reputational effects; 2) investment, intellectual, market, budgetary effects; 3) social, legal effects. The closest ties in tourism enterprises are the types of effects: economic, resource, tourism. We consider the dependence of these effects on each other etiological, that is, these effects act as an impetus for the emergence and increase of other effects.