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Demand Estimation with Expenditure Measurement Errors on the Left and Right Hand Side

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  • Lewbel, Arthur

Abstract

Let x be total consumption expenditures. Measurement errors in consumer budget allocation models cause unusual problems because errors in the dependent variables, consumption on individual goods, contribute to errors in the regressor x. Empirically adequate budget share models, like the AIDS, translog, and quadratic AIDS, are linear or quadratic in log x. It is shown that, for these specifications, two stage least squares fails to correct for the measurement error. A simple technique for recovering consistent estimates from two stage least squares is provided, along with an efficient generalized method of moments estimator. The method is applied to U.K. fuel demand data. Copyright 1996 by MIT Press.

Suggested Citation

  • Lewbel, Arthur, 1996. "Demand Estimation with Expenditure Measurement Errors on the Left and Right Hand Side," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 718-725, November.
  • Handle: RePEc:tpr:restat:v:78:y:1996:i:4:p:718-25
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    Cited by:

    1. Paul A. Bekker & Jan van der Ploeg, 2000. "Instrumental Variable Estimation Based on Grouped Data," Econometric Society World Congress 2000 Contributed Papers 1862, Econometric Society.
    2. Thomas F. Crossley & Hamish W. Low, 2011. "Is The Elasticity Of Intertemporal Substitution Constant?," Journal of the European Economic Association, European Economic Association, vol. 9(1), pages 87-105, February.
    3. Orazio Attanasio & Erich Battistin & Alice Mesnard, 2012. "Food and Cash Transfers: Evidence from Colombia," Economic Journal, Royal Economic Society, vol. 122(559), pages 92-124, March.
    4. Böhme, Marcus & Thiele, Rainer, 2012. "Is the Informal Sector Constrained from the Demand Side? Evidence for Six West African Capitals," World Development, Elsevier, vol. 40(7), pages 1369-1381.
    5. Ubfal, Diego, 2016. "How general are time preferences? Eliciting good-specific discount rates," Journal of Development Economics, Elsevier, vol. 118(C), pages 150-170.
    6. Song, Suyong, 2015. "Semiparametric estimation of models with conditional moment restrictions in the presence of nonclassical measurement errors," Journal of Econometrics, Elsevier, vol. 185(1), pages 95-109.
    7. Erling Røed Larsen, 2002. "Estimating Latent Total Consumption in a Household," Discussion Papers 324, Statistics Norway, Research Department.
    8. Qing Li, 2014. "Identifiability of mean-reverting measurement error with instrumental variable," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 68(2), pages 118-129, May.
    9. Brannlund, Runar & Nordstrom, Jonas, 2004. "Carbon tax simulations using a household demand model," European Economic Review, Elsevier, vol. 48(1), pages 211-233, February.
    10. Clare Kelly & Gauthier Lanot, 2002. "Consumption Patterns over Pay Periods," Keele Economics Research Papers KERP 2002/14, Centre for Economic Research, Keele University.
    11. Crossley, T.F. & Low, H.W., 2005. "Unexploited Connections Between Intra- and Inter-temporal Allocation," Cambridge Working Papers in Economics 0537, Faculty of Economics, University of Cambridge.
    12. Erich Battistin, 2002. "Errors in Survey Reports of Consumption Expenditures," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 C4-2, International Conferences on Panel Data.
    13. repec:oup:revage:v:31:y:2009:i:3:p:470-492. is not listed on IDEAS
    14. Chen Zhen & Justin L. Taylor & Mary K. Muth & Ephraim Leibtag, 2009. "Understanding Differences in Self-Reported Expenditures between Household Scanner Data and Diary Survey Data: A Comparison of Homescan and Consumer Expenditure Survey," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 31(3), pages 470-492.
    15. De Nadai, Michele & Lewbel, Arthur, 2016. "Nonparametric errors in variables models with measurement errors on both sides of the equation," Journal of Econometrics, Elsevier, vol. 191(1), pages 19-32.
    16. repec:eee:econom:v:200:y:2017:i:2:p:169-180 is not listed on IDEAS
    17. Stoker, Thomas M. & Berndt, Ernst R. & Denny Ellerman, A. & Schennach, Susanne M., 2005. "Panel data analysis of U.S. coal productivity," Journal of Econometrics, Elsevier, vol. 127(2), pages 131-164, August.
    18. Brännlund, Runar & Nordström, Jonas, 2001. "Modelling Consumer Demand and Household Labour Supply: Welfare Effects of Increasing Carbon Taxes," Umeå Economic Studies 571, Umeå University, Department of Economics.
    19. Daniel Miles & Andrés Pereyra & Máximo Rossi, 2000. "Income Elasticity of Environmental Amenities," Documentos de Trabajo (working papers) 0200, Department of Economics - dECON.
    20. Lyssiotou, Panayiota & Pashardes, Panos & Stengos, Thanasis, 1999. "Testing the rank of Engel curves with endogenous expenditure," Economics Letters, Elsevier, vol. 64(1), pages 61-65, July.
    21. Meijer, Erik & Spierdijk, Laura & Wansbeek, Tom, 2017. "Consistent estimation of linear panel data models with measurement error," Journal of Econometrics, Elsevier, vol. 200(2), pages 169-180.
    22. Li, Tong, 2002. "Robust and consistent estimation of nonlinear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 110(1), pages 1-26, September.

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