About function of distribution of indicators of regional social and economic processes condition in terms of their size

The article is devoted to methods of constructing the function of distribution of indicators of a regional social and economic system development in terms of size based on: theoretical schemes for substance fragmentation statistics, aggregation of particles in disperse systems, the economic and statistical model, the law of large numbers and limit theorems. To reduce the application complexity of complex distribution functions in solving theoretical and practical problems, one can use their approximation with the help of a gamma distribution.