The purpose of the study is to substantiate the tools for digital measurement of the development of the adaptive potential of the region's population under sanctions using economic and statistical analysis methods. The study uses statistical characteristics that are suitable for creating a model of interaction between internal and external adaptation systems of the region's population. It is assumed that the adaptive potential of a person is determined by the amount of stress they experience over a certain period of time. To characterize the relative values of stress, the theory of population needs is used, in particular: natural-physiological, demographic, social, economic and organizational. The region's adaptive potential includes demographic, labor, social, economic, industrial, organizational, and other types.

The materials and methods of the research are the application of official data of the Federal State Statistics Service using economic and statistical analysis methods, structural and dynamic analysis of indicators, as well as methods of theoretical research in the form of generalization, comparison, aggregation and special analytical procedures.

According to the results of the review of theoretical approaches, it is concluded that the adaptive potential can be described as a complex object of research. Based on physiological, socio-demographic, activity, economic and other approaches, the author developed and proposed a model for digital measurement of the development of the region's adaptive potential under sanctions. The concept of adaptive potential is clarified as the ability (potency) of population organisms, resources of enterprises and territories, their specific capabilities to produce benefits and change (to adapt) to any situation. A model of interaction between internal and external systems of population adaptation, a method for calculating the aggregate index of development of the region's adaptation potential, and a matrix for estimating the growth rate (weights) of its elements are developed. Analysis of the measurement of the aggregated indices confirmed the assumption about the impact of foreign sanctions on the degree of adaptation of the population of the country's regions. For example, in 2015, the index of adaptive capacity decreased to negative values in all regions of the Ural Federal District and some in the Central Federal District and in subsequent years there was a gradual adaptation of regions to sanctions. The results obtained expand the understanding of the impact of sanctions on the adaptation of the population of regions; they can be used to diagnose socio-economic processes; develop practical recommendations for improving regional policies and strategies for sustainable development in the face of sanctions and other challenges of the time. The considered approach is linked to the tasks set for the Russian system of state statistics in the framework of the program "Digital economy of the Russian Federation".

Purpose of the study. Small and medium enterprises in foreign countries provide about 50% of GDP and almost 60% of industrial employment. In terms of its role in the economy, entrepreneurship in Russia is inferior to many countries, including the United States, Ireland, Japan, Italy, etc. The main priorities for the development of the sphere of entrepreneurship in Russia include improving the conditions for doing business, simplifying tax reporting, access to concessional financing, and improving the procurement system and others. Among the negative aspects of state regulation that hinder the development of small and medium-sized businesses, administrative barriers can be singled out. According to experts, due to the presence of excessive administrative barriers, the size of the country's "frozen" potential for economic growth is 5-7%. In this regard, there is a need for a statistical assessment of the conditions for doing business at the regional level for the subsequent determination of directions for increasing the efficiency and effectiveness of the activities of state (municipal) authorities and identifying reserves for improving the business environment.

Materials and methods. As an information base for the study, we used the data of the Federal State Statistics Service for 2019, as well as the results of monitoring the conditions for the activities of small and medium-sized businesses in the region, conducted by the State Treasury Institution of the Republic of Mordovia "Scientific Center for Socio-Economic Monitoring". The empirical research base included quantitative data from mass representative surveys of the business community for the period from 2014 to 2019. In addition to surveys of representatives of the business community, expert surveys were conducted, the selection of which was carried out on the basis of the experience of entrepreneurship and their belonging to formalized regional structures of entrepreneurs. The number of experts participating in the study ranged from 40 to 50 people.

Results. As of January 1, 2019, there were 2,659.9 thousand small enterprises operating in the Russian Federation. Per 10,000 people, with an average of 156 in the Volga Federal District, the highest indicator was recorded in the Samara region (216 small enterprises), the lowest – in the Republic of Mordovia (86 small enterprises). The study demonstrates a steady decline in the scale of economic activity and the number of small and medium-sized businesses in the Republic of Mordovia. The study confirmed the existence of administrative barriers to entrepreneurial activity in the region, which are manifested both at the initial stage of doing business and during long-term conduct. Within the framework of the study, proposals were formulated to reduce administrative barriers and create a favorable business environment. In the current socio-economic situation, the main measures to support entrepreneurship are to reduce tax rates and introduce a preferential tax system. Support measures that are significant for business are also a decrease in interest rates, an increase in the availability of credit, the provision of incentives for energy resources, and control over the pricing policy of services of natural monopolies. Along with institutional measures, it is necessary to disseminate various forms of entrepreneurship training and mentoring, which are widespread in foreign practice.

Purpose of the study. The possibilities for the implementation of national and regional strategic objectives depend on the compliance of the measures taken with the chosen development path. The set of measures includes managerial decisions in the field of labor market regulation and concerning the legalization of informal employment. To make managerial decisions on the regulation of the labor market at the regional level, an objective statistical assessment of the relationship between informal employment and indicators of socio-economic development is required.

The information basis for the regulation of informal employment should be quantitatively assessed stable regularities of the relationship between the parameters of informal employment and the structural and dynamic characteristics of economic growth and development. To identify and evaluate these statistical patterns, based on data from the Federal State Statistics Service in a regional context, a system of statistical indicators has been developed and significant factors of informal employment and socio-economic development have been identified. Given the heterogeneity of the constituent entities of the Russian Federation in terms of the scale and structure of informal employment, the distribution of regions into homogeneous groups is required. The article describes the approaches to the classification of Russian regions, taking into account the level of socio-economic development and the structure of informal employment.

Materials and methods. The article examines an approach to the distribution of regions into homogeneous groups using the methods of cluster analysis based on a group of indicators characterizing those employed in the informal sector, which is based on the assumption that the indicators of informal employment are causally related to indicators of socio-economic development.

Results. Five groups of regions are obtained, homogeneous in terms of the structural characteristics of informal employment and generalized factors of socio-economic development. For the purposes of further interpretation, the selected groups are assessed and ranked relative to the average Russian level of socio-economic development: low level (8 regions), below average (26 regions), average (41 regions), above average (8 regions), high level (2 regions) ...

Conclusion. The resulting classification of Russian regions is a transitional stage to the construction of an econometric model of the relationship between informal employment and indicators of socio-economic development. Further analysis will allow us to assess which indicators have the greatest multiplier effect on the regional economy and to obtain a quantitative assessment of this impact on its growth.

Purpose of research. Tourism is the most important object in the system of modern economic relations. Its main goal is to create an environment conducive to meeting the needs of tourists, which ensure a steady flow of funds. In turn, the economic subsystem solves the problem of creating a competitive tourism industry – the most important determinant of economic growth. Therefore, the study of the competitiveness of the tourism industry market in ensuring sustainable economic growth of the state and increasing the well-being of the population is an extremely relevant direction in a market economy.

At the moment, many international, domestic methods are used to assess the level of competitiveness (competitive opportunities). Methodological support for a comprehensive assessment of the competitiveness of tourism industry enterprises based on economic and mathematical models requires further development. An algorithm for assessing regional competitiveness is given on the example of building an econometric model, and testing it for its practical significance.

The purpose of our study is to identify the factors affecting the increase in the level of competitiveness of the tourism potential of the Sevastopol region to ensure a sustainable influx of tourists.

Materials and methods. The study of the level of increasing competitiveness based on the use of economic and mathematical modeling in the regional aspect is carried out. The «Gretl» software package was used as a statistical tool for the study. The study of the level of competitiveness in the field of the tourism industry in the Sevastopol region is carried out on the basis of a sample of 50 enterprises of the tourism industry, determined by the rating of the volume of gross revenues received per year. To model the share of the gross value added of the tourism industry in the gross regional product at the regional level, we considered the annual financial and economic data of the activities of travel companies, as well as the macroeconomic indicators of the Sevastopol region from 2015-2019. The processing of economic and financial indicators characterizing the micro- and macroeconomics, identification and interpretation of the model is made using computer technologies, in particular the Gretl software package.

Results. According to the results of the study, the nature of the relationship between the share of the gross value added of the tourism industry in the gross regional product and the consumer price index, the growth rate of retail turnover, the growth rate of public catering turnover, and the quantity of registered crimes was revealed. Economic and mathematical modeling was carried out using various approaches to constructing the equations of the general model by the least squares method, with fixed or random effects.

Conclusion. The article discusses the modeling of competitive advantages in the tourism industry, which makes it possible to determine the significant parameters of independent variables, and it was also proposed that the model with fixed effects is the most adequate for predicting the tourism potential of the Sevastopol region.

It should be noted that it is almost impossible to achieve an increase in competitiveness by chance. Therefore, a set of methods and techniques is needed that form an innovative competitiveness management system. The implementation of such a system is directly related to the analysis and assessment of the whole variety of conditions and factors for the functioning of the subjects of the tourism industry.

The article examines the impact of daily activities on the suicide rate on the basis of data from the European Detailed Mortality Database of the World Health Organization and the Harmonized European Time Use Survey.

Purpose. To evaluate the relation between the suicide rate and duration of the main daily activities of employees in the spheres of work, household and leisure activities in terms of the multifactor models.

Materials and methods. Daily activities are understood as time spent on work, household and leisure activities. In order to analyze the relation between the variables an end-to-end linear regression model arranged by all years and countries is used; the panel data structures are not taken into account in the model (as we have to deal with pseudo panel data). In addition, in order to weaken prerequisites of parametric models, a non-parametric estimate is used. The calculations are made in the econometric package STATA IC 16. The source of the data on the suicide rate (total, men, women) at the ages of 15-74 is the European Detailed Mortality Database of the World Health Organization; the source of the data on time spent on the main daily activities of employees in the spheres of work, household and leisure activities and the level of employees’ occupation is Eurostat.

Results. The analysis revealed that with the increase in time spent on TV and video the suicide rate increases for the employed men; and with the increase in time spent on housekeeping the suicide rate increases for the employed women. In addition, during working days employed men are expected to be at risk of suicide due to the time spent on work, related activities and travel to and from work; employed women remain at risk due to the time spent on housekeeping. The duration of TV and video watching and housekeeping is a referent of suicide risk factors – loneliness and retreat from the society. It has been established that a possible shift to a four-day working week with an increase in the working hours while maintaining weekly hours leads to the suicide rate increase.

Conclusion. In order to reduce the suicide rate in European countries, it is necessary to have such an organization of labour, daily routine and leisure activities, which will allow male employees to reduce their working hours to a minimum of 7.4 hours and to displace watching TV and video on the periphery of the hierarchy of occupations, primarily on weekends, as well as to eradicate "kitchen slavery" among female employees. While evaluating the possible shift to a four-day working week, it is necessary to conduct more research on the impact of the number (ratio) of working days and full days off on the suicide rate.

Purpose of the study. The aim of the research is to develop new principles of decision making (principles of optimality) in games with nature and their application to analyze statistical data and choose strategies for stock investment.

Materials and methods. We analyze Russian and foreign bibliography on the research problem. A model of decision making in a game with nature with known state probabilities is proposed. The mathematical expectation of the player's payoff is taken as an assessment of efficiency, and the standard deviation or variance is taken as a risk assessment. This two-criterion task is formalized by transferring the efficiency assessment into a constraint. As a result, for the case of mixed strategies, a nonlinear (quadratic) task of mathematical programming arises. To solve it, an approach based on the Lagrange function and the Karush-Kuhn-Tucker optimality conditions is used. As an application of the methods obtained, the problems of stock investment are considered.

Results. Analytical methods for solving the indicated optimization problem and an algorithm for finding optimal mixed strategies are obtained. Practical examples of application of the proposed approach on real statistical data are given. As the initial data in this study, we used stock quotes of Russian companies in the electric power industry for the period from 01.07.2020 to 01.10.2020, taken from the website of the FINAM Investment Company. The developed method allows one to find the optimal strategy and the corresponding values of profitability and risk based on only the initial data (statistical characteristics of financial instruments and the threshold value of profitability), i.e. provides, in our opinion, a convenient analysis tool for the investor.

Conclusion. The concept of the principle of optimality in decision making problems under conditions of incomplete information is very ambiguous. The decision maker should be able to choose from a range of decision making models that reflect the dependence of the type of rational behavior on the available information and the attitude to risk. The paper proposes a model of this type for the case of probabilistic uncertainty, which leads to the problem of minimizing variance as a risk assessment with a lower bound on the mathematical expectation as an assessment of efficiency.