This article discusses the application of probability theory in economics. Probability theory is an important tool for accounting for uncertainties and assessing risks in various economic processes. The article provides detailed information on the application of this theory in risk management, insurance and investment, market analysis and game theory. With the help of probability theory, the possibilities of preliminary assessment of economic events and making optimal decisions are studied. This article shows the importance of using probability theory in economic analysis and decision making.

The development of Free Economic Zones (FEZs) in Uzbekistan is critical for economic growth, industrialization, and attracting foreign investment. To evaluate the efficiency of business entities operating in these zones, robust statistical research methods are essential. This article examines the primary statistical techniques used to assess the efficiency of businesses in Uzbekistan's FEZs. The article provides statistical formulas for efficiency calculation, offers a detailed discussion on the significance of these methods, and presents recommendations for future research.

The article discusses the impact of Islamic finance on economic changes in the process of achieving economic stability and improving reforms in our country. At the same time, the author expressed his views as one of the most important factors leading to significant and complex changes in the structure, systems and activities of the modern economy, which is one of the most important factors that determine a stable increase in the level of production, competitiveness and general economic well-being. The author further strengthened these views based on the statistics presented by country and year.

This article analyzes the economic significance of customs services and their role in supporting entrepreneurship in Uzbekistan amid expanding trade flows and increasingly complex supply and logistics chains. The relevance of the study is explained by growing demands for faster customs clearance, greater transparency and security, the need to improve the risk management system, and the wider adoption of digital solutions. The research approach combines a review of relevant academic literature, an analysis of regulatory and legal documents, and descriptive–dynamic comparative analysis based on official statistics. The results indicate rising concentration in the structure of imports and exports and an increase in associated risks, thereby substantiating policy directions focused on risk-based control, automation, and the reduction of the “human factor.” The author interprets customs authorities as a strategic trade infrastructure and provides practical recommendations. The study’s scientific contribution lies in systematizing the mechanisms through which customs services facilitate trade, identifying key indicators, and proposing areas for improving practical reform measures.

this article reveals the improvement of housing and communal services based on econometric models and its economic and statistical analysis and features. Practical suggestions and recommendations for improving the activities of housing and communal services based on econometric models are also provided.

In recent years, the processes of economic modernization, urbanization, and the existence of interregional socio-economic disparities in the Republic of Uzbekistan have made the issue of internal migration even more urgent. The migration of the population from one region to another usually leads to significant changes in the territorial distribution of labor resources. In particular, the migration flow from rural areas to cities, from economically active regions to central cities, directly affects the composition of the labor market and employment indicators.

This article presents a scientific analysis of existing methodologies for assessing poverty levels, examining their advantages and limitations. The analysis revealed that current approaches have shortcomings, including the complexity of data collection at the mahalla level, difficulties in identifying informal income, and excessive reliance on official statistics. Consequently, the author proposes a new, improved methodology that integrates economic and social indicators, based on empirical evidence.

The article examines the nature, causes and economic significance of employee turnover. The reasons for the increase in employee turnover in different regions of the world were studied and a comparative analysis of the situation in our country was conducted. Studies of the impact of employee turnover on the overall efficiency of an enterprise were summarized, and a mechanism for determining the costs that may arise due to turnover in various industries was developed. The reasons for the lack of official statistics on employee turnover in Uzbekistan were presented and theoretical solutions for its elimination were proposed. The factors influencing the growth or decrease in employee turnover were classified, and their impact on employee turnover was studied based on a moderation study.

This article provides a scientific-theoretical and empirical analysis of the prospects for the gradual introduction of the state social insurance system in the Republic of Uzbekistan. Based on the Law of the Republic of Uzbekistan “On State Social Insurance” No. ORQ-1101 dated December 9, 2025, mechanisms for covering such social risks as maternity and childbirth benefits, temporary disability benefits, and later unemployment benefits are being introduced starting from 2026. The article examines the limitations of the existing pension system, the economic and social effectiveness of the new system, issues of demographic pressure, and financial sustainability. For the empirical analysis, tables and graphs based on data from the State Statistics Agency, the World Bank, and the International Labour Organization are presented. The research findings indicate that the social insurance system plays a significant role in promoting formal employment, reducing the risk of poverty, and supporting economic growth. However, challenges such as the informal sector and demographic aging need to be addressed.

This paper comprehensively examines the theoretical and practical aspects of the efficient use of investments in the development of the national economy based on an econometric approach. The study utilizes macroeconomic data for the period 2000–2024 to conduct an in-depth analysis of the impact of investment volume, employment level, and export volume on Gross Domestic Product (GDP). The methodological framework includes correlation analysis, construction of a multiple regression model, evaluation of parameter significance using t-statistics, assessment of overall model adequacy through the F-test, and testing for autocorrelation using the Durbin–Watson statistic. All econometric computations and model estimations were carried out using the modern statistical software environment R Studio. The empirical results demonstrate that investments have a strong positive and statistically significant effect on economic growth, as measured by GDP. Based on the findings, a set of practical recommendations has been developed aimed at improving the efficiency of investment utilization, optimizing their allocation across economic sectors, and enhancing investment policy.