Maryna Horna

The digital transformation of manufacturing enterprises necessitates more efficient engineering change management through data-driven decision support and process optimization. Although process mining has advanced considerably in recent years, most existing studies focus on descriptive or predictive process analysis, while prescriptive optimization integrated with sustainability considerations remains insufficiently explored. This study aims to develop and evaluate a prescriptive optimization model for Engineering Change Management based on process mining methods and Environmental, Social, and Governance considerations. The proposed model combines rule-based case routing, resource profiling, and risk-oriented alerts and is evaluated using a real-world event log from a manufacturing and engineering company. The methodological framework integrates process discovery using the Inductive Miner algorithm, conformance checking, performance and bottleneck analysis, deterministic rule-based case classification, resource profiling, and prescriptive analytics. The proposed model was evaluated through retrospective validation on a test dataset using both parametric and non-parametric statistical methods. The retrospective analysis estimated a 36.8% reduction in average active case processing time, from 6.31 to 3.98 h, while maintaining the modeled satisfaction level (p < 0.001). These results represent model-based estimates rather than effects observed after prospective implementation. The proposed approach extends existing process mining applications by combining prescriptive analytics with sustainability-oriented process governance. It provides a basis for integration into Product Lifecycle Management, Enterprise Resource Planning, and Engineering Change Management systems as a decision-support module, with the potential to improve operational efficiency and support sustainable manufacturing practices.

The growing importance of healthcare in human capital development, enhancing labor productivity, and fostering long-term economic growth highlights the need to evaluate the performance of national healthcare systems amid population aging, increasing demand for healthcare services, and constrained financial resources. Despite a substantial body of research devoted to healthcare system models and their performance assessment, a comprehensive cross-country comparison integrating socioeconomic and demographic indicators using multivariate statistical methods remains underexplored. The aim of this study is to compare the healthcare systems of the European Union countries and evaluate their economic efficiency using correlation and cluster analysis. The study focuses on the healthcare systems of the European Union countries and Ukraine as institutional, organizational, and financial arrangements for the provision of healthcare services. It examines the relationships between indicators of economic development, healthcare financing, and healthcare system performance, as well as the methodological approaches used to assess these relationships. The study is based on statistical data obtained from Eurostat, OECD Health Statistics, the World Health Organization, and the World Bank. The methodological framework comprises comparative analysis, correlation analysis, hierarchical cluster analysis, and k-means clustering. The performance of healthcare systems is evaluated using indicators of gross domestic product (GDP) per capita, labor productivity, healthcare expenditure, life expectancy, and mortality. The correlation analysis revealed statistically significant relationships between the level of economic development and population health outcomes. Specifically, higher levels of gross domestic product (GDP) per capita and labor productivity were associated with longer life expectancy and lower mortality rates. Furthermore, the findings indicate that healthcare expenditure as a share of GDP is more strongly associated with population health outcomes than the absolute level of healthcare spending. The application of cluster analysis made it possible to identify three groups of European Union countries with distinct combinations of economic capacity, healthcare financing parameters, and healthcare system performance. The resulting typology revealed substantial heterogeneity among countries in terms of resource availability and population health outcomes. The findings confirm that the performance of national healthcare systems depends not only on the level of healthcare financing but also on the efficiency of resource allocation and utilization.

Under the current conditions of global transformations and the military challenges faced by Ukraine in 2022–2026, there is an urgent need to verify and adapt classical methodological approaches to statistical analysis. Understanding the intellectual heritage of the outstanding scholar Mykhailo Ptukha makes it possible not only to reconstruct the historical development of Ukrainian statistical thought, but also to identify sustainable analytical tools for modeling contemporary processes of population reproduction, migration, and labor market transformation. The purpose of the article is to provide a systematic generalization, critical review, and conceptual systematization of existing scholarly research on Mykhailo Ptukha's intellectual and organizational contribution to the formation of the foundations of Ukrainian and global statistics, with a view to its constructive application in the contemporary research environment. To ensure the scientific validity of the study's conclusions, the research is based on a comparative analysis of the works of domestic and foreign scholars combined with a critical examination of Mykhailo Ptukha's fundamental primary sources. The key areas of Mykhailo Ptukha's activity are systematized, including institutional development, methodological innovations, approaches to mortality and marriage analysis, as well as principles of demographic forecasting. A conceptual model of his scholarly achievements is developed, encompassing six methodological domains, including methods for smoothing defective data and constructing life tables. The relevance of his legacy for modeling demographic processes under the conditions of the full-scale Russian invasion, accompanied by mass migration flows, a population reproduction crisis, and distortions in the structure of labor resources, is substantiated. The potential application of cohort methods in developing strategies for the post-war reconstruction of the state is also identified. Mykhailo Ptukha's scientific achievements are of significant practical importance for modeling demographic processes, migration scenarios, and crisis forecasting, particularly under martial law conditions. The application of these approaches will contribute to the creation of a reliable analytical framework for effective public administration, social infrastructure planning, and the development of post-war recovery strategies for Ukraine. The theoretical generalization of the scholar's work from a decolonial perspective makes it possible to reinterpret the origins of Ukrainian statistics as a distinctive European school, thereby strengthening Ukraine's intellectual subjectivity within the global scientific community.

B a c k g r o u n d . In the contemporary digital environment, marketing communications have evolved into multi-channel, personalized, and dynamic interactions, necessitating an increasingly precise quantification of the efficacy of each user touchpoint with a brand. Conventional rule-based marketing attribution models, which exclusively assign value to a singular touch-point of contact, no longer yield the requisite level of analytical granularity. In response to these methodological challenges, advanced economic and mathematical methodologies, notably models predicated on Markov chains and Shapley values, are progressively being deployed to facilitate a rigorously reasoned and quantitatively justifiable allocation of value across all contributing channels. M e t h o d s . The research methodology is based on a combination of general scientific and specialized methods. Specifically, it utilized theoretical modeling, comparative analysis, as well as stochastic modeling (Markov chains) and cooperative game theory (Shapley values). R e s u l t s . This research rigorously investigated marketing attribution in the digital environment, demonstrating the inherent limitations of traditional rule-based models and substantiating the superior efficacy of adaptive approaches, particularly Markov chains and Shapley values. The empirical implementation and comparative analysis of the Shapley value model confirmed its enhanced precision and capacity to objectively quantify each channel's contribution, leading to actionable insights for strategic marketing optimization. This study provides a robust framework for understanding multi-touch attribution, emphasizing the critical role of data-driven methodologies in contemporary marketing analytics. C o n c l u s i o n s . The work is relevant for marketing analysts and digital strategy teams, as it presents a comparative analysis of rule-based and algorithmic attribution models and offers practical solutions for campaign optimization. The Shapley Value model was implemented in Python and tested on real-world marketing data. The practical value lies in the ability to use the results for better budget allocation, identifying undervalued channels, and increasing return on marketing investment (ROMI).

This article analyzes statistical approaches to evaluating the effectiveness of state capital investments in the context of socio-economic development in Ukrainian regions. It identifies the need for a quantitative analysis of the relationship between budgetary allocations and key regional development indicators: gross regional product, employment levels, entrepreneurial activity, export openness, and environmental status. To ensure the reliability and validity of the conclusions, various statistical methods were applied, including descriptive statistics, data normalization, linear correlation analysis, multivariate averaging for integral assessment, and rank correlation to examine relationships between ratings. The proposed author’s approach to a comprehensive assessment of regional market conditions is based on the multivariate mean method with data standardization by range. This allowed for the creation of an integral regional rating, clearly identifying leaders and outsiders in market development dynamics. Statistical analysis, conducted using Statistica software, revealed significant correlations between investment flows and socio-economic indicators. Particular attention was paid to investigating the relationship between economic ratings and the environmental status of regions, which showed a moderate inverse correlation. This indicates an existing contradiction between economic activity and environmental balance, emphasizing the importance of integrating ecological aspects into development strategies. Based on the results obtained, practical recommendations were developed to improve regional investment policy. These include increasing the targeting of funding, strengthening analytical monitoring of investment effectiveness, and diversifying funding sources to maximize positive impact. The study’s findings provide a valuable foundation for strategic regional development planning, especially under budget constraints, and contribute to achieving balanced and sustainable growth.

This article is dedicated to the pressing issue of the impact of harmful habits on the duration and quality of life of the population and is based on data from the Eurostat website for 2019, covering 29 European Union countries. Harmful habits, such as alcohol consumption and smoking, are among the most significant behavioral risk factors that negatively affect public health and mortality rates. Identifying such patterns is crucial for the development of effective preventive measures and the formation of public health policies. The aim of the article was to determine statistically significant relationships between alcohol and tobacco consumption and the mortality rate from diseases related to these factors. To achieve this goal, statistical analysis was conducted, specifically applying the correlation analysis method and the Student's t-test. Statistically significant differences in the prevalence of harmful habits between men and women were identified, and a direct connection between tobacco consumption and mortality from cancer-related diseases was established. Correlation analysis confirmed the existence of relationships between harmful habits and mortality rates. In particular, a moderate direct correlation was found between daily smoking and mortality from malignant tumors of the larynx, as well as an inverse correlation between the percentage of non-smokers and mortality from the same cause. To test the proposed hypotheses, the Student's t-test was conducted, which allowed for statistically confirming or refuting the identified patterns. The results confirm the significant impact of behavioral risk factors on mortality rates and highlight the importance of developing preventive measures. In conclusion, the statistical analysis of the prevalence of harmful habits revealed significant differences, which can be attributed to social, cultural, and religious factors. The results confirm the necessity of developing and implementing effective programs for the prevention and treatment of addictions aimed at reducing the incidence and mortality related to harmful habits.

Purpose. The article studies the convergence between the regions of Ukraine in terms of the basic foodstuff consumption per capita during 2000–2019, taking into account the effects of spatial interaction across regions. Methodology / approach. The convergence analysis between regions of Ukraine is based on the concept of β-convergence which can be tested using spatial econometric models namely spatial autoregressive models and spatial error models. The need for considering spatial interaction can be explained by the fact that regions are characterized by constant interaction with each other. Therefore, region should not be considered as isolated objects in space in empirical research with usage of panel data. Ignoring the spatial interaction between regions and using standard evaluation procedures can reduce the reliability and validity of the obtained results to some extent. Results. The results of our calculation confirm the process of β-convergence of average per capita consumption of all food groups, which means that food consumption in regions with an initial low level of consumption is growing faster than in regions with high initial levels of consumption. Also, as part of the use of spatial econometric models the convergence process was determined to be influenced by spatial interaction between regions while the influence of neighbouring regions has a positive effect on food consumption in particular region. Originality / scientific novelty. The article further develops the main ideas of modeling interregional differentiation based on convergence theory and for the first time, spatial econometric models were used to estimate β-convergence of Ukrainian regions by the levels of consumption of basic foodstuffs. Practical value / implications. The approach proposed by the authors and the obtained results can be used both by state authorities on agrarian policy and food issues, and by enterprises of the agricultural sector in the analysis and forecasting of trends in the consumption of basic foodstuffs at the regional level; when planning the production, processing and delivery of agricultural products, when planning state or regional trade policy in the field of food. At the same time, the inclusion of spatial effects in the model of evaluating convergence will allow policymakers to take into account the geographical features of the convergence process and, accordingly, make more informed decisions to reduce the differentiation of regions of Ukraine by the levels of consumption of basic foodstuffs.

The paper examines the current state of harmonization of state statistical activity with the requirements of the European Statistical System. The purpose of the article is to determine the state of integration of the education statistics system of Ukraine into the European Union to ensure comparability of education data at the international level. The research was carried out on the basis of general scientific methods such as analysis and synthesis, comparison, time-series analysis, structural analysis, graphical method, etc. The legal framework for the implementation of obligations in the field of statistics and information exchange between Ukraine and the European Union was analyzed. The Law of Ukraine on amendments to certain laws of Ukraine related to the activity of state statistics was reviewed with regard to amendments to the Law of Ukraine "On Education". The main aspects and processes of education systems at the global level were outlined. Special attention is given to creating the necessary conditions for international comparability of education data and indicators. The International Standard Classification of Education is described to provide internationally comparable statistics. The compliance of coverage of relevant age groups by educational programs of Ukraine with international standards was analyzed. Student enrolment has been studied in comparison with European Union member and candidate countries. It was noted that Ukraine had completed a significant amount of work on the commitments towards European integration, despite the emergency situation in Ukraine as a result of the attack by the russian federation. The article draws conclusions about the state of integration of the system of education statistics of Ukraine into the European Union. The task of integrating the system of education statistics of Ukraine into the European space can be carried out effectively only on the condition of consensus, systematic, and compre­hensive consideration.

The article considers the state of emergency in Ukraine in connection with the large-scale invasion of the russian federation, in particular, its impact on the Ukrainian education system. This issue requires a comprehensive analysis of the functioning of the education system in the context of martial law, which determines the relevance of this article. It has been established that under martial law conditions, the key objectives of Ukraine’s educational policy were to ensure the organization of the learning process, and thus the provision of educational services to students in Ukraine, as well as to internally displaced and refugee children. The rights and needs for protection, including the protection of the rights of children and youth to education, were emphasized. Analysis of literary sources and legal framework confirmed that russia’s full-scale invasion of Ukraine grossly violates international law and the UN Charter, and thus undermines European and global stability and security (namely, Safe Schools Declaration). The obligations of countries of the world to protect pupils, students, teachers, schools and universities during armed conflict and to support the continuation of education throughout the war were studied. The article focuses on the actions of the Government of Ukraine, international organizations and countries hosting Ukrainian refugees to return children to school, providing psychosocial support, educational opportunities and non-formal education. It is noted that Ukrainian refugees are involved in the educational process through schooling; the organization of free language courses for children and adults; access to online educational resources, including the inclusion of education and training systems in the EU, and recognition of qualifications of Ukrainian students for access to higher education and the labor market. At the same time, the emphasis is placed on the fact that the mental health and psychosocial support of all participants in the educational process play an important role during the war. A number of initiatives and assistance programs of the international community to ensure the continuity of educational services both in Ukraine and abroad are outlined. It is substantiated the conclusion that the Ukrainian Government has made maximum efforts to ensure the urgent needs of the population, among which the right to education takes the leading place. Prospective directions of further research can be studies of the international experience of adaptation to the educational process of students and teachers in EU countries.

The article examines the development trends of information and communication technologies in education as the basis for the formation of an information society. The stages of development of information technologies from manual information to network technology are described. The purpose of the article is to analyze the current trends of the use of information technologies in educational institutions. General scientific methods were used during the research, in particular: analysis and synthesis, comparison, analysis of time series, graphical method, etc. The meaning of information and communication technologies is revealed, as well as the regulatory and legal framework for their development and implementation in the educational process in Ukraine is indicated. Comparison of government forms of statistical reporting is carried out in terms of the use of modern information technologies, namely, the expansion of the ZNZ-1 form with the following indicators: about the technology and speed of the Internet, the availability of Wi-Fi technology, the availability of modern printing devices (including 3D printers by type), educational software used in the educational process and are on the balance sheet of the institution, etc. The current state of the provision of general secondary education institutions with an Internet connection was investigated (less than 100 institutions do not have such a connection, which is less than 1% of the total number). The level of provision of schools' connection to a high-quality Internet network (with a data transfer rate of more than 30+ Mbit/s), as well as the number of students per one stationary or laptop computer by regions, are described.