Estimating Price Elasticities with Non-Linear Errors in Variables
AbstractThis paper estimates a price elasticity using a flexible demand specification on survey data where prices are observed with error are correlated with household characteristics. The demand function is modelled as being a polynomial (and more generally also including trigonometric terms) in the unobserved true prices and the form of the dependency between the observed (mismeasured) prices and household characteristics is modelled parametrically. I identify and estimate the model by adapting the approach of Hausman, Newey, Ichimura, and Powell (1991) and Schennach (2004). The exible specifications allow us to observe that price elasticities vary across the price distribution, something missed in previous work using linear demand specifications.
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Bibliographic InfoPaper provided by Stanford Institute for Economic Policy Research in its series Discussion Papers with number 08-045.
Date of creation: Aug 2009
Date of revision:
Other versions of this item:
- 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.
- D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
- D40 - Microeconomics - - Market Structure and Pricing - - - General
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- 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.
- Kennan, John, 1989. "Simultaneous Equations Bias in Disaggregated Econometric Models," Review of Economic Studies, Wiley Blackwell, vol. 56(1), pages 151-56, January.
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- 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.
- 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.
- repec:cup:cbooks:9780521496032 is not listed on IDEAS
- 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.
- Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, 01.
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