Inverse Problems in Economic Measurements

  • A. A. Shananin


The problem of economic measurements is discussed. The system of economic indices must reflect the economic relations and mechanisms existing in society. An achievement of the XX century is the development of a system of national accounts and the gross domestic product index. However, the gross domestic product index, which is related to the Hamilton–Pontryagin function in extensive economic growth models, turns out to be inadequate under the conditions of structural changes. New problems of integral geometry related to production models that take into account the substitution of production factors are considered.


gross domestic product economic growth model Hamilton–Pontryagin function Houthakker–Johansen model integral geometry Bernstein’s theorems 


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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Moscow Institute of Physics and TechnologyDolgoprudnyi, Moscow oblastRussia
  2. 2.Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of SciencesMoscowRussia
  3. 3.Faculty of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia
  4. 4.Peoples Friendship UniversityMoscowRussia

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