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Balancing large systems of national accounts

  • F. Van Der Ploeg
Article

Abstract

Systems of national accounts typically contain measurement errors. Official statisticians are prepared to give initial estimates with subjective information on the standard deviations of the measurement errors of these estimates. The systems should satisfy certain accountaing identities, that is, the total incomings into any account should match the total outgoings of the account. A least-squares procedure for the adjustment of large systems of national accounts is proposed, which adjusts the initial estimates so that they satisfy the accounting restrictions. The computational requirements of this adjustment procedure are enormous as the systems of national accounts are frequently very large. Hence, the problem is reformulated and a conjugate gradient algorithm which exploits the constraint sparcity and the specific structure of economic accounting matrices is proposed. The associated computer program is self-contained, relatively cheap, and has been applied to systems of up to 262 accounts.

Key words

National accounts residual errors data inconsistency least-squares adjustment conjugate gradient algorithm 

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Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • F. Van Der Ploeg
    • 1
    • 2
  1. 1.London School of EconomicsLondonUK
  2. 2.Tilburg UniversityLE TilburgThe Netherlands

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