The purpose of this study is to assess the three-factor production functions describing the dependence of the small enterprises (SEs) and microenterprises, which include turnover on the wages of their employees, investments in fixed capital and the entrepreneurial capital of a particular region. The authors propose the indicator that characterizes the level of entrepreneurial capital — the number of employees of large enterprises located in the respective regions. This study is based on the empirical spatial data specifying the activities of employees in all SEs and microenterprises, as well as a number of large enterprises. The official statistical information includes observations on business activity of 1,449 SEs and microenterprises in 80 Russian regions in 2015. The research determines the factors influencing the turnover of enterprises, proves the high quality of the source data approximation using the three-factor production functions and confirms the need for an increased number of small and microenterprises for the Russian regions’ economy. The authors discover tools for the evaluation of production functions, which are of academic and practical importance. They can be used in studies of the regions’ entrepreneurial sectors, for monitoring the efficiency of resource use, and the rationale for the entrepreneurship development programs.

中文翻译：

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创业资本和小企业生产量：俄罗斯地区数据

本研究的目的是评估描述小型企业 (SE) 和微型企业的依赖性的三要素生产函数，其中包括员工工资的营业额、固定资本投资和特定地区的创业资本。作者提出了表征创业资本水平的指标——位于各个地区的大型企业的员工人数。本研究基于经验空间数据，具体说明了所有社会企业和微型企业以及一些大型企业的员工活动。官方统计信息包括对 2015 年俄罗斯 80 个地区的 1,449 家社会企业和微型企业的商业活动的观察。研究确定了影响企业营业额的因素，使用三要素生产函数证明了源数据近似的高质量，并证实了俄罗斯地区经济需要增加小型和微型企业的数量。作者发现了用于评估生产函数的工具，这些工具具有学术和实际意义。它们可用于研究该地区的创业部门，监测资源利用效率，以及创业发展计划的基本原理。