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Imposing local curvature in the QUAIDS

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  • Chang, Dongfeng
  • Serletis, Apostolos

Abstract

In this paper, we build on Ryan and Wales (1998), Moschini (1999), and Serletis and Shahmoradi (2007) and impose curvature conditions locally on the quadratic Almost Ideal Demand System (AIDS) model of Banks et al. (1997), an extension of the simple AIDS model of Deaton and Muellbauer (1980) that can generate quadratic Engel curves [that is, rank-three demand systems, in the terminology of Lewbel (1991)]. In doing so, we exploit the Slutsky matrix of second order derivatives of the indirect utility function.

Suggested Citation

  • Chang, Dongfeng & Serletis, Apostolos, 2012. "Imposing local curvature in the QUAIDS," Economics Letters, Elsevier, vol. 115(1), pages 41-43.
    • Handle: RePEc:eee:ecolet:v:115:y:2012:i:1:p:41-43
    DOI: 10.1016/j.econlet.2011.11.033
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    6. Richard Blundell & Joel L. Horowitz & Matthias Parey, 2012. "Measuring the price responsiveness of gasoline demand: Economic shape restrictions and nonparametric demand estimation," Quantitative Economics, Econometric Society, vol. 3(1), pages 29-51, March.
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    11. W.A. Barnett & J.M. Binner, 2004. "The Global Properties of the Minflex Laurent, Generalized Leontief, and Translog Flexible Functional Forms," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 79-97, Emerald Group Publishing Limited.
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    13. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    14. Serletis, Apostolos & Shahmoradi, Asghar, 2007. "A Note On Imposing Local Curvature In Generalized Leontief Models," Macroeconomic Dynamics, Cambridge University Press, vol. 11(2), pages 290-294, April.
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    17. Barnett, William A. & Lee, Yul W. & Wolfe, Michael D., 1985. "The three-dimensional global properties of the minflex laurent, generalized leontief, and translog flexible functional forms," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 3-31.
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    Cited by:

    1. Lokuge Dona, Manori Nimanthika & Zivkovic, Sanja & Lange, Kelly & Chidmi, Benaissa, 2018. "Household Food Consumption And Demand For Nutrients In Sri Lanka," 2018 Annual Meeting, February 2-6, 2018, Jacksonville, Florida 266670, Southern Agricultural Economics Association.
    2. Dongfeng Chang & Apostolos Serletis, 2014. "The Demand For Gasoline: Evidence From Household Survey Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(2), pages 291-313, March.
    3. Senia, Mark & Dharmasena, Senarath, 2017. "Pre-Determined Demand and Theoretical Regularity Conditions: Their Importance for Consumer Food Demand Using AIDS and Policy Analysis Implications," 2017 Annual Meeting, February 4-7, 2017, Mobile, Alabama 252740, Southern Agricultural Economics Association.

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    More about this item

    Keywords

    Regularity; Slutsky matrix; Negative semidefinite;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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