One approach to solving the problem of pricing in the residential real estate market.

Abstract

Abstract. A stage when an average value began to be considered as a central term of a continuous proportion is considered to be the beginning of the development of the «average value» concept. However, this concept, as the central value of the progression, does not make it possible to derive it in relation to a sequence of n terms, regardless of the order in which they follow each other. For this purpose, it is necessary to resort to a formal generalization of average values which predetermined the transition from continuous proportions to progressions – arithmetic, geometric and harmonic. Currently, a statistical value is given to the average value through its connection to economic categories. In the mathematical theory of average values, there are distinguished two types of them – average values themselves and arithmetic average values. At the same time, each type of average values can act either in the form of a simple or weighted average where the correct choice of the form of the average follows from the material nature of the object of study. Simple average formulas are used in cases where the individual values of the averaged feature do not repeat. If the frequency of repetition of individual values of a feature is present in the calculation formulas of averages, then in this case the formulas of simple averages are called as formulas of weighted averages. With the respect to it, the paper proposes an approach to the description of average socio-economic indicators, using the example of the indicator «Average market value of a square meter of housing» in the real estate market in a hypothetical region by averaging prices based on their weighted average assessment in a particular area. Within the framework of this approach, the distribution function of the weights of housing costs is identified as a self-similar solution (automodel) of a partial differential equation with initial and boundary conditions.