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Divisia Second Moments

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Author Info

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

Abstract

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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File URL: http://mpra.ub.uni-muenchen.de/9124/
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Bibliographic Info

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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Related research

Keywords: Divisia monetary aggregates; Divisia second moments; monetary aggregation; monetary policy; distribution effects;

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References

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  1. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
  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. 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.
  4. Barnett, William A., 1978. "The user cost of money," Economics Letters, Elsevier, vol. 1(2), pages 145-149.
  5. 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.
  6. 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.
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Cited by:
  1. William A. Barnett & Barry E. Jones & Milka Kirova & Travis Nesmith & Meenakshi Pasupathy, 2004. "The Nonlinear Skeletons in the Closet," Econometrics 0405003, EconWPA.
  2. Zahid, Asghar & Frahat, Tahira, 2010. "Measuring inflation through stochastic approach to index numbers," MPRA Paper 21513, University Library of Munich, Germany.

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