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Admissible Clustering Of Aggregator Components: A Necessary And Sufficient Stochastic Seminonparametric Test For Weak Separability

Author

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  • Philippe de Peretti

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Barnett William

Abstract

In aggregation theory, the admissibility condition for clustering components to be aggregated is blockwise weak separability, which also is the condition needed to separate out sectors of the economy. Although weak separability is thereby of central importance in aggregation and index number theory and in econometrics, prior attempts to produce statistical tests of weak separability have performed poorly in Monte Carlo studies. This paper introduces a new class of weak separability tests, which is seminonparametric. Such tests are both based on a necessary and sufficient condition and are fully stochastic, allowing to take into account measurement error. Simulations show that the tests perform well, even for large measurement errors.

Suggested Citation

  • Philippe de Peretti & Barnett William, 2009. "Admissible Clustering Of Aggregator Components: A Necessary And Sufficient Stochastic Seminonparametric Test For Weak Separability," Post-Print halshs-00646786, HAL.
    • Handle: RePEc:hal:journl:halshs-00646786
    DOI: 10.1017/S1365100509090300
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    References listed on IDEAS

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    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Cheng Hsiao, 1997. "Statistical Properties of the Two-Stage Least Squares Estimator Under Cointegration," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(3), pages 385-398.
    3. Fleissig, Adrian R. & Whitney, Gerald A., 2005. "Testing for the Significance of Violations of Afriat's Inequalities," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 355-362, July.
    4. David Edgerton & Donald Dutkowsky & Thomas Elger & Barry Jones, 2005. "Toward a unified approach to testing for weak separability," Economics Bulletin, AccessEcon, vol. 3(20), pages 1-7.
    5. Philippe de Peretti, 2007. "Testing the Significance of the Departures from Weak Separability," International Symposia in Economic Theory and Econometrics, in: Functional Structure Inference, pages 3-22, Emerald Group Publishing Limited.
    6. Philippe de Peretti, 2005. "Testing The Significance Of The Departures From Utility Maximization," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00646801, HAL.
    7. Durbin, James & Koopman, Siem Jan, 2012. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, edition 2, number 9780199641178.
    8. Kitamura, Yuichi & Phillips, Peter C. B., 1997. "Fully modified IV, GIVE and GMM estimation with possibly non-stationary regressors and instruments," Journal of Econometrics, Elsevier, vol. 80(1), pages 85-123, September.
    9. Bell, William R & Hillmer, Steven C, 1984. "Issues Involved with the Seasonal Adjustment of Time Series: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 343-349, October.
    10. Swofford, James L & Whitney, Gerald A, 1987. "Nonparametric Tests of Utility Maximization and Weak Separability for Consumption, Leisure and Money," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 458-464, August.
    11. Fleissig, Adrian R & Whitney, Gerald A, 2003. "A New PC-Based Test for Varian's Weak Separability Conditions," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 133-144, January.
    12. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, September.
    13. Lee A. Craig & Douglas Fisher, 1997. "The Demand for Money," Palgrave Macmillan Books, in: The Integration of the European Economy, 1850–1913, chapter 7, pages 160-186, Palgrave Macmillan.
    14. Bell, William R & Hillmer, Steven C, 1984. "Issues Involved with the Seasonal Adjustment of Economic Time Series," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 291-320, October.
    15. Fisher, Douglas & Fleissig, Adrian R, 1997. "Monetary Aggregation and the Demand for Assets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 458-475, November.
    16. William A. Barnett & Seungmook Choi, 2004. "A Monte Carlo Study of Tests of Blockwise Weak Separability," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 257-287, Emerald Group Publishing Limited.
    17. Harvey, Andrew C & Koopman, Siem Jan, 1992. "Diagnostic Checking of Unobserved-Components Time Series Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 377-389, October.
    18. Swofford, James L. & Whitney, Gerald A., 1994. "A revealed preference test for weakly separable utility maximization with incomplete adjustment," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 235-249.
    19. Philippe de Peretti, 2005. "Testing The Significance Of The Departures From Utility Maximization," Post-Print halshs-00646801, HAL.
    20. de PERETTI, PHILIPPE, 2005. "Testing The Significance Of The Departures From Utility Maximization," Macroeconomic Dynamics, Cambridge University Press, vol. 9(3), pages 372-397, June.
    21. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
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    Cited by:

    1. Barnett, William A. & Erwin Diewert, W. & Zellner, Arnold, 2011. "Introduction to measurement with theory," Journal of Econometrics, Elsevier, vol. 161(1), pages 1-5, March.
    2. Serletis, Apostolos & Xu, Libo, 2021. "Consumption, Leisure, And Money," Macroeconomic Dynamics, Cambridge University Press, vol. 25(6), pages 1412-1441, September.
    3. Ali Jadidzadeh & Apostolos Serletis, 2019. "The Demand for Assets and Optimal Monetary Aggregation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(4), pages 929-952, June.
    4. Barnett, William A. & Chauvet, Marcelle, 2011. "How better monetary statistics could have signaled the financial crisis," Journal of Econometrics, Elsevier, vol. 161(1), pages 6-23, March.
    5. Ryan S. Mattson & Philippe de Peretti, 2014. "Investigating the Role of Real Divisia Money in Persistence-Robust Econometric Models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00984827, HAL.

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    More about this item

    Keywords

    weak separability; seminonparametric test;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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