Experience of statistical and entropy analysis of relationships between the information and production sectors of the regional economy of Russia

Abstract

The work proposes special methods for a statistical approach to the analysis of regional intersectoral relationships. The real system, according to the statistics of which all quantitative calculations are carried out. The Russian Federation without the three largest administrative units (Moscow, St. Petersburg, Moscow Region) is considered. In contrast to the material ties of the Leontyev model, information and statistical links between industries are analyzed. For this, the concepts of entropy and information are used in order to identify the peculiarities of interaction between six production sectors and six information sectors of the economy. These interactions are considered from the standpoint of the law of the necessary diversity, and the complexity according to Kolmogorov, which is given special importance in the work and which is estimated by the entropy of the distributions of the output indicators of regional subsystems. Concepts are introduced and a quantitative assessment of the complexity of regions and industries is made. The structure of information links between indicators of the economic system is found both using regression analysis and based on the proposed information content coefficients. The role of conditional entropies in the statistical analysis of intersectoral interactions is especially emphasized. Both structures are represented as corresponding link graphs. It is justified that calculated coefficients of information links and conditional entropies provide the possibility of qualitative analysis and forecast. The calculations made according to statistics showed that in regions with a predominance of entropy of control over entropy of production, the output is significantly higher by employee. Based on the general consideration, it seems appropriate to recommend that the regions of Russia increase the complexity of the communication sectors and scientific and professional activities at least to the level of complexity of the manufacturing industry.