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Extending the stochastic approach to index numbers

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  • Paul Crompton

Abstract

The variance of the inflation rate estimator in the stochastic approach of Clements and Izan will be biased in most applications due to stringent restrictions on the variance of the OLS error term. To overcome this weakness, the stochastic methodology is reformulated and extended by deriving a variance estimator which is robust to unknown forms of heteroscedasticity. Under this new approach the exact nature of the error variance is of no concern, and can remain unidentified. A major innovation of this work is the derivation of a scalar representation for the variance estimator which has considerable intuitive appeal since it uses consumer expenditure shares to weight the relative price movements used in the calculation of the inflation rate variances.

Suggested Citation

  • Paul Crompton, 2000. "Extending the stochastic approach to index numbers," Applied Economics Letters, Taylor & Francis Journals, vol. 7(6), pages 367-371.
  • Handle: RePEc:taf:apeclt:v:7:y:2000:i:6:p:367-371 DOI: 10.1080/135048500351294
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    References listed on IDEAS

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    1. Ian Domowitz & R. Glenn Hubbard & Bruce C. Petersen, 1986. "Business Cycles and the Relationship Between Concentration and Price-Cost Margins," RAND Journal of Economics, The RAND Corporation, pages 1-17.
    2. Hall, Robert E, 1988. "The Relation between Price and Marginal Cost in U.S. Industry," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 921-947, October.
    3. Merton, Robert C, 1987. " A Simple Model of Capital Market Equilibrium with Incomplete Information," Journal of Finance, American Finance Association, vol. 42(3), pages 483-510, July.
    4. Roeger, Werner, 1995. "Can Imperfect Competition Explain the Difference between Primal and Dual Productivity Measures? Estimates for U.S. Manufacturing," Journal of Political Economy, University of Chicago Press, vol. 103(2), pages 316-330, April.
    5. Schmalensee, Richard, 1989. "Inter-industry studies of structure and performance," Handbook of Industrial Organization,in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 2, chapter 16, pages 951-1009 Elsevier.
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    Cited by:

    1. Eliyathamby A. Selvanathan & Saroja Selvanathan, 2006. "Measurement of inflation: An alternative approach," Journal of Applied Economics, Universidad del CEMA, vol. 9, pages 403-418, November.
    2. Selvanathan, E. A. & Selvanathan, S., 2004. "Modelling the commodity prices in the OECD countries: a stochastic approach," Economic Modelling, Elsevier, vol. 21(2), pages 233-247, March.
    3. David E. A. Giles, 2004. "Calculating a Standard Error for the Gini Coefficient: Some Further Results," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(3), pages 425-433, July.
    4. Iqbal, Javed & Hanif, Muhammad Nadim, 2010. "Measuring Standard Error of Inflation in Pakistan: A Stochastic Approach," MPRA Paper 35422, University Library of Munich, Germany.
    5. Zahid, Asghar & Frahat, Tahira, 2010. "Measuring inflation through stochastic approach to index numbers," MPRA Paper 21513, University Library of Munich, Germany.
    6. Kenneth W. Clements & H.Y Izan & Yihui Lan, 2005. "A Stochastic Measure of International Competitiveness," Economics Discussion / Working Papers 05-15, The University of Western Australia, Department of Economics.

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