This article explores the theoretical and practical aspects of economic-mathematical modeling of the electronic commerce system based on interval data. The study analyzes the advantages of using interval data in evaluating e-commerce indicators, the possibilities of modeling economic processes under uncertainty, and mechanisms for forecasting the efficiency of electronic commerce in the digital economy. In addition, the economic significance of decrees and resolutions adopted in the Republic of Uzbekistan for the development of electronic commerce is highlighted. According to the research results, it is substantiated that interval modeling methods can serve to reduce risks in the electronic commerce system, increase the accuracy of forecasts, and optimize management decisions

The article theoretically highlights the fact that increasing the production capacity of industrial enterprises in the regions and introducing new infrastructures is one of the current topical issues, the classification of results achieved through the use of new innovations in the industrial system, the structure of economic-mathematical modeling, the structure of algorithmic technologies used in the implementation of economic-mathematical modeling, economic-statistical methods and analysis tools, the organization of a mechanism for using mathematical modeling and optimization, and the requirements for scientific substantiation of new decision-making sources in industrial development, and provides conclusions and proposals in this regard.

Investments are one of the important factors determining the level of economic growth. The article analyzes the impact of centralized, decentralized investments and investments attracted on the basis of foreign credit on ensuring economic growth in our republic, as well as their econometric modeling. The relationship between investments and the level of economic growth was also analyzed by creating a multifactor econometric model.

This study evaluates the endogenous drivers of economic growth in Kashkadarya region using statistical data from 2010–2025 through neuro-fuzzy (ANFIS) and multilayer perceptron (MLP) models. Household income, traditional and digital infrastructure were selected as key indicators. The ANFIS model achieved high accuracy (R² = 0.977; RMSE = 0.40; MAPE = 7.8%), effectively capturing nonlinear economic relationships. A 3D surface plot highlighted the strong synergy between digital infrastructure and income. In comparison, the MLP model yielded slightly lower accuracy. The results suggest that investing in digital infrastructure and applying endogenous modeling approaches are crucial for strategic planning

This scientific study provides an in-depth analysis of the factors influencing the management efficiency of free economic zones (FEZs) in the Republic of Uzbekistan, assessing their contribution to socio-economic development using mathematical modeling. Using the Jizzakh Free Economic Zone as a case study, the research identifies key factors affecting production volume from 2015 to 2024 — namely, foreign investment and employment levels. The study employs the Cobb-Douglas production function to construct a classical linear regression model, along with an autoregressive (AR) model, correlation-regression analysis, and evaluation through Fisher’s criterion, Student’s t-test, and the Durbin-Watson statistic.

This article analyzes modern pedagogical and didactic technologies for teaching economic processes based on virtual laboratories. The findings indicate that virtual laboratories serve as an effective tool for narrowing the gap between theory and practice in economics education, enabling visual modeling of complex economic processes and fostering the development of advanced cognitive and practical competencies among learners. The study substantiates the need to expand the implementation of virtual laboratories in economics education, improve their didactic design, and broaden decision-making–based interactive scenarios

Ensuring sustainable and inclusive development of regional economies stands as a central challenge for contemporary economic policy and regional planning. This paper develops the theoretical foundations for econometric modeling of regional development, aiming to provide a rigorous methodological framework for quantifying growth drivers and producing reliable forecasts of regional economic performance. The primary objective is to specify and justify econometric models that capture both the long-run relationships and short-run dynamics among core regional indicators (GRDP, industrial output, retail turnover, investment inflows, employment and income levels, and institutional variables). The theoretical discussion integrates perspectives from neoclassical growth theory, endogenous growth models, institutional economics and evolutionary economics to frame the empirical strategy

This article examines the significance of digital transformation in reducing disparities in regional economic development. The introduction highlights the relevance of the issue and contemporary trends, while the literature review analyzes a number of scientific articles from recent years. The methodology encompasses a systematic literature review (SLR) based on PRISMA guidelines and empirical modeling (panel regression, GMM, threshold models). The results demonstrate the positive impact of digital transformation on mitigating regional imbalances (e.g., stimulating GDP growth with a coefficient of 0.59), but reveal a U-shaped effect (turning point at 0.358) and infrastructure deficiencies. The conclusion emphasizes the potential of digital technologies, contingent upon policy measures and inclusivity, and provides policy, practical, and research recommendations.

The economic substance of the economyʼs primary indicators, inflation, and unemployment, as well as the dynamic indicators of these economic categories, have been investigated using economic-statistical methodologies. An econometric model was built after examining the quantitative relationship between inflation and unemployment. Modeling the impact of unemployment on inflation changes yielded predicted indicators for these variables in the coming years. 

This article analyzes the development trends of the chemical industry in the Republic of Uzbekistan, the dynamics of production volumes, and the possibilities of modeling this process. The study empirically evaluates the elasticity of production volume in relation to investment and employment levels based on the Cobb–Douglas production function. A classical linear regression model was constructed using statistical data from 2010 to 2023, and analyses were conducted in the Stata software. Regression results indicate that the growth in production volume is more closely associated with the increase in labor resources. Additionally, forecast values for 2024–2028 were calculated using an autoregressive (AR) model, demonstrating a steady growth in chemical product output. The results of the study hold significant practical importance for strategic management of the chemical industry and for shaping investment policy.

The article examines the role of insolation as a system-forming factor in the development and optimization of housing infrastructure under urbanization conditions. The interrelation between insolation and regional economic parameters is substantiated, including energy consumption, sanitary and hygienic indicators, and socio-demographic living conditions. Based on methods of mathematical modeling, algorithms for calculating and optimizing the insolation characteristics of residential development are proposed. Practical examples from housing construction in the city of Tashkent are analyzed, demonstrating the impact of insolation parameters on the economic indicators of the region. Conclusions and recommendations are formulated regarding the integration of insolation requirements into urban planning programs and housing policy projects.

This article highlights the importance of introducing digital technologies and blockchain systems in increasing the efficiency of innovative processes in the activities of commercial banks and ensuring competitiveness. The role of modern information technologies, in particular blockchain platforms, in the process of digitizing the bank lending system, their functional capabilities, level of security and efficiency of use are analyzed. The article also details the trends in the digitalization of the economy, the spread of mobile and Internet services, the share of the ICT sector in GDP, and the development of e-commerce. The need to use economic and mathematical (econometric) models in assessing and forecasting economic processes is substantiated.

This study evaluates the nonlinear relationship between living standards and economic growth in the Qashqadaryo region during 2010–2024 using the ANFIS (Adaptive Neuro-Fuzzy Inference System) model. Based on semi-synthetic data close to real statistics, key indicators include income index, infrastructure, and digital infrastructure. The ANFIS model demonstrated high accuracy (R² = 0.977), revealing a strong synergy between income and digitalization, with 3D surface analysis highlighting digital infrastructure as a key growth driver. The results provide practical guidance for regional development strategies

The formation of an effective competitive environment in regional consumer goods markets is a key condition for sustainable economic growth, consumer welfare and innovation-driven development. This study discusses the fundamentals, structural variables and strategic mechanisms of economic modernization and market liberalization affecting the competitiveness of regional consumer goods markets. Using a combination of comparative analysis, econometric modeling and empirical research in selected regions, the study identifies key factors such as market concentration ratios, entry barriers, institutional support mechanisms and consumer demand dynamics that determine the intensity of competition. Empirical results show that regions with diversified production structures, high levels of small and medium-sized enterprise (SME) activity and strong institutional arrangements have higher market efficiency and consumer satisfaction. In addition, the study highlighted the importance of digital transformation, innovation ecosystems and public-private partnerships as strategic levers for building competitive advantages in the consumer goods sector

The article shows the relationship between the number of items in the region's trading network and retail trade turnover, the trend of changes in the number of trading enterprises in the region and not only retail trade turnover, an indicator of the relativity of trade turnover dynamics. the economic potential of the Kashkadarya region, as well as a comparison of the relative levels of the trading network, an assessment of the general and private economic potential of the region is shown.

The article describes important aspects related to modern methodological synergistic factor approaches of econometric research for the development of hotel and public catering services. In particular, a grouped system of indicators for a comprehensive economic analysis of the activities of residential and catering enterprises, a scenario for classifying the activities of enterprises according to criteria, and a scheme for the formation of a set of synergistic development factors are proposed.

This article develops an optimal-systemic model for increasing the efficiency of logistics and supply chains at agro-processing enterprises in the Kashkadarya region. The study analyzes the integrated management mechanisms of the processes of raw material supply, storage, processing and distribution of finished products. Based on linear programming, transport models and systematic analysis methods, scientific and practical proposals have been developed to minimize logistics costs and increase production efficiency. According to the results of the study, it was proved that the optimal logistics model helps enterprises reduce transportation costs, increase product delivery speed and use resources efficiently

This study is devoted to the analysis of the current state of practice in Uzbekistan in improving the methodology for forecasting direct taxes. The study studied the current mechanisms of forecasting processes for the main direct taxes, such as profit tax, personal income tax, and property and land taxes. Based on statistical analysis, comparative assessment, and economic modeling methods, factors affecting the accuracy and stability of forecast indicators were assessed. The impact of macroeconomic indicators, tax base expansion, and tax administration digitization processes on the quality of forecasting was also revealed. Based on the results of the study, scientific and practical proposals and conclusions were developed aimed at using modern economic and mathematical models in forecasting accurate tax revenues, improving the information base, and strengthening the institutional approach

The article provides information on the process of supplying the population of the world with food products and methods for eliminating the situations in it. Also, opinions are expressed about the technologies used in the organization of this process, their economic efficiency and the causal elements leading to it, the results of their implementation in practice, and information on the work of scientists working in this field.

This article examines the theoretical and practical aspects of developing a management accounting system based on modern analytical methods in order to improve enterprise performance. The necessity of transforming management accounting from a traditional accounting system into a tool for analytical support of managerial decision-making is substantiated. The study employs general scientific and economic-statistical methods, including analysis, synthesis, comparative analysis, and econometric modeling. A multiple regression model is proposed to assess the impact of the level of development of the management accounting system, the use of analytical methods, and the degree of digitalization of accounting processes on the integral indicator of enterprise performance. The research results demonstrate a stable positive relationship between the studied factors and performance, with modern analytical tools (KPI, factor analysis, and marginal analysis) having the greatest impact. Based on the findings, practical recommendations for improving the management accounting system have been developed, including the implementation of KPI systems, the development of analytical tools, and the integration of digital technologies. The application of the proposed approaches contributes to improving the quality of managerial decisions, optimizing costs, and ensuring sustainable enterprise development

This article analyzes the issues of improving innovative models for the development of the vocational education services market and their methodological foundations. The relevance of the study stems from the need to adapt the education system to the requirements of the labor market. The research employs methods of system analysis, comparative approach, and economic modeling. The results demonstrate the significant role of innovative models in improving educational efficiency. The author has developed methodological recommendations aimed at developing the vocational education services market

This article analyzes the development trends of communication and informatization services for the population in the Kashkadarya region and develops multifactor empirical models for forecasting these services. Based on regional statistical data, the key influencing factors are identified, and their impact on service volume is assessed using econometric methods. The study employs regression analysis, time series analysis, and modern econometric approaches in model construction. The obtained results allow forecasting the future dynamics of communication and informatization services and provide practical recommendations for sector development. The findings are significant for enhancing regional economic growth, improving digital infrastructure, and ensuring effective management of the service market