Divisia Second Moments: An Application of Stochastic Index Number Theory

Barnett, William A. and Jones, Barry E. and Nesmith, Travis D. (2008): Divisia Second Moments: An Application of Stochastic Index Number Theory.

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 and to measure aggregation error in the Divisia first moments.

• Item Type: MPRA Paper
• Language: English
• Keywords: Divisia monetary aggregates; Divisia second moments; monetary aggregation; monetary policy; distribution effects
• Subjects: E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E51 - Money Supply ; Credit ; Money Multipliers; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E52 - Monetary Policy; E - Macroeconomics and Monetary Economics > E0 - General > E01 - Measurement and Data on National Income and Product Accounts and Wealth ; Environmental Accounts; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates; G - Financial Economics > G0 - General; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E41 - Demand for Money; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General

References

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