Assessment of the Share of Small Innovative Enterprises in Russian Regions

Relevance. Currently, the task of increasing the innovative activity of small enterprises in our country is being solved. Innovations include both the production of new or improved products (goods and services) that are significantly different from previously produced products, and the introduction of new or more advanced production processes in enterprises that are significantly different from those that were previously used. One of the main goals of public administration bodies is the development and implementation of measures that ensure effectiveness in the policy of expected field development of innovative activities of enterprises. Therefore, the problem of studying the current level of innovative activity of enterprises is currently relevant.
The purpose is assessment of the levels of innovation use based on accounting for the share of enterprises associated with innovation in the total number of small enterprises operating in the regions of Russia.
Objectives of the study were to construct normal distribution functions that describe the shares of enterprises associated with innovation by region.
Methodology. In the course of the study, economic and mathematical modeling was used based on the construction of functions describing the density of the normal distribution. The simulation was based on official statistics for 2015, 2017 and 2019 for enterprises located in the regions.
Results. Indicators describing the specific weights of the number of enterprises associated with innovation in the total number of small enterprises by region were studied. The average values of indicators, as well as the ranges of changes in indicators for most regions of Russia, are determined.
Conclusions. The findings of the research containing the scientific novelty and originality, are the following: it is proposed to use economic and mathematical models to evaluate the values of indicators that characterize the innovative activity of small enterprises; it is shown that almost every twentieth small enterprise in Russia showed a certain innovative activity during the period under review; it is shown that the values of the specific weights of small innovative enterprises in the total number of small enterprises was significantly differentiated by region; regions with the maximum and minimum values of the specific weights of small innovative enterprises were identified. The obtained research results have a certain theoretical and applied significance.

1. Petrikov A. V. Osobennosti innovatsionnogo razvitiya regionov Tsentral'nogo federal'nogo okruga Rossiyskoy Federatsii [Features of innovative development of regions of the Central Federal District of the Russian Federation]. Ekonomika ustoychivogo razvitiya = The Economy of Sustainable Development, 2019, no. 1 (37), pp. 64-66.

2. Podsolonko V. A., Podsolonko Ye. A., Slepokurov A. S. Upravleniye innovatsiyami i transferom tekhnologiy dlya povysheniya effektivnosti ekonomiki [Management of innovations and technology transfer to improve the efficiency of the economy]. Nauchnyy vestnik: finansy, banki, investitsii = Scientific Bulletin: Finance, Banks, Investments, 2019, no. 2 (47), pp. 136-151.

3. Arkhipova M. Yu., Sirotin V. P., Afonina V. Ye. Modelirovaniye innovatsionnoy aktivnosti malogo i srednego biznesa [Modeling the innovation activity of small and medium-sized businesses]. Intellekt. Innovatsii. Investitsii = Intelligence. Innovation. Investment, 2019, no. 5, pp. 20-30.

4. Zhuravlev D. M. Otsenka tekhnologicheskoy gotovnosti regional'noy ekonomiki k vospriyatiyu innovatsiy [Assessment of the technological readiness of the regional economy for the perception of innovations]. Ekonomicheskoye vozrozhdeniye Rossii = Economic Revival of Russia, 2020, no. 1 (63), pp. 138-147.

5. Belemayeva A. V., Kalimullin D. M. Analiz znachimosti otsenki innovatsiy v protsesse uvelicheniya kapitalizatsii predpriyatiya [Analysis of the importance of assessing innovations in the process of increasing the capitalization of an enterprise]. Ekonomika i biznes: teoriya i praktika = Economics and Business: Theory and Practice, 2020, no. 1-1 (59), pp. 35-38.

6. Deputatova Ye. Yu., Perel'man M. A. Aspekty izucheniya potrebitel'skogo povedeniya v usloviyakh innovatsiy v riteyle [Aspects of studying consumer behavior in the context of innovation in retail]. Ekonomika i biznes: teoriya i praktika = Economics and Business: Theory and Practice, 2020, no. 1-1 (59), pp. 101-104.

7. Yezhov A. Yu. Sovremennyye problemy vnedreniya i upravleniya innovatsiyami v RF [Modern problems of implementation and management of innovations in the Russian Federation]. Innovatsii i investitsii = Innovation and Investment, 2020, no. 2, pp. 12-14.

8. Kudryavtseva S. S. Tekhnologicheskaya gotovnost' promyshlennosti k otkrytym innovatsiyam [Technological readiness of industry for open innovation]. Ekonomika v promyshlennosti = Economics in Industry, 2020, vol. 13, no. 1, pp. 48-58.

9. Lipovka N. P., Arnautova Ye. A. Vliyaniye innovatsiy na ekonomiku predpriyatiya [Influence of innovations on the economy of the enterprise]. Aktual'nyye problemy i perspektivy razvitiya ekonomiki: rossiyskiy i zarubezhnyy opyt = Actual Problems and Prospects of Economic Development: Russian and Foreign Experience, 2020, no. 1 (26), pp. 46-49.

10. Smirnova A. S. Innovatsii kak osnovnoy instrument povysheniya konkurentosposobnosti rossiyskikh predprinimatel'skikh struktur [Innovation as the main tool for increasing the competitiveness of Russian entrepreneurial structures]. Nauchno-prakticheskiye issledovaniya = Scientific and Practical Research, 2020, no. 1-3 (24), pp. 237-243.

11. OECD/Eurostat, Oslo Manual 2018: Guidelines for Collecting, Reporting and Using Data on Innovation. 4th ed. Paris, OECD Publishing, 2018. 258 p.

12. Nauka i innovatsii [Science and innovations]. Available at: https://rosstat.gov.ru/folder/14477?print=1. (accessed 15.02.2021)

13. Pinkovetskaia I., Slepova V. Estimation of Fixed Capital Investment in SMEs: the Existing Differentiation in the Russian Federation. Business Systems Research, 2018, no. 9(1), pp. 65-78.