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Divisia Second Moments

  • Barnett, William A.
  • Jones, Barry E.
  • Nesmith, Travis D.

W. A. Barnett originated the Divisia monetary aggregates, using Diewert's results on superlative index numbers and Barnett's derivation of the user cost of monetary asset services. The resulting Divisia index can be interpreted as a first moment aggregating over growth rates with expenditure shares serving as probabilities. But Theil showed that there are analogous higher order Divisia moments providing distributional information. In this paper we use the Divisia second moments to investigate distributional information in the monetary aggregate growth rates.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 9111.

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Date of creation: 11 Jun 2008
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Handle: RePEc:pra:mprapa:9111
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  1. Barnett, William A., 1978. "The user cost of money," Economics Letters, Elsevier, vol. 1(2), pages 145-149.
  2. Barnett, William A., 1980. "Economic monetary aggregates an application of index number and aggregation theory," Journal of Econometrics, Elsevier, vol. 14(1), pages 11-48, September.
  3. Barnett, William A & Offenbacher, Edward K & Spindt, Paul A, 1984. "The New Divisia Monetary Aggregates," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 1049-85, December.
  4. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
  5. Daniel L. Thornton & Piyu Yue, 1992. "An extended series of divisia monetary aggregates," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 35-52.
  6. Barnett, William A. & Serletis, Apostolos, 1990. "A dispersion-dependency diagnostic test for aggregation error : With applications to monetary economics and income distribution," Journal of Econometrics, Elsevier, vol. 43(1-2), pages 5-34.
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