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Estimating Price Elasticities with Nonlinear Errors in Variables

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  • Aprajit Mahajan

    (Stanford University)

Abstract

This paper estimates a price elasticity using a flexible demand specification on survey data where prices are observed with errors and are correlated with household characteristics. The demand function is modeled as a polynomial/trigonometric in the unobserved true prices, and the form of the dependency between the observed prices and household characteristics is modeled parametrically. I identify and estimate the model by adapting the approach of Hausmann et al. (1991) and Schennach (2004). The flexible specifications allow us to observe that price elasticities vary across the price distribution, something missed in previous work using linear demand specifications. Copyright by the President and Fellows of Harvard College and the Massachusetts Institute of Technology.

Suggested Citation

  • Aprajit Mahajan, 2009. "Estimating Price Elasticities with Nonlinear Errors in Variables," The Review of Economics and Statistics, MIT Press, vol. 91(4), pages 793-805, November.
    • Handle: RePEc:tpr:restat:v:91:y:2009:i:4:p:793-805
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    References listed on IDEAS

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    1. Deaton, Angus, 1987. "Estimation of own- and cross-price elasticities from household survey data," Journal of Econometrics, Elsevier, vol. 36(1-2), pages 7-30.
    2. Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, January.
    3. John Kennan, 1989. "Simultaneous Equations Bias in Disaggregated Econometric Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 151-156.
    4. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    5. Alberto Abadie & Guido W. Imbens, 2008. "On the Failure of the Bootstrap for Matching Estimators," Econometrica, Econometric Society, vol. 76(6), pages 1537-1557, November.
    6. Geert Ridder & Yingyao Hu, 2004. "Estimation of Nonlinear Models with Measurement Error Using Marginal Information," Econometric Society 2004 North American Summer Meetings 21, Econometric Society.
    7. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    8. Hausman, Jerry A. & Newey, Whitney K. & Ichimura, Hidehiko & Powell, James L., 1991. "Identification and estimation of polynomial errors-in-variables models," Journal of Econometrics, Elsevier, vol. 50(3), pages 273-295, December.
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    More about this item

    JEL classification:

    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General

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