Agric. Econ. - Czech, 2017, 63(10):449-460 | DOI: 10.17221/70/2016-AGRICECON
Beyond the mean: Estimating consumer demand systems in the tailsOriginal Paper
- Department of Agricultural Sciences, University of Naples Federico II, Napoli, Italy
The study proposes a novel approach to estimate price demand elasticities at the various levels of expenditures. Through the expectile estimator, the demand system can be estimated not only at the mean, as is generally done when implementing the OLS, but also at the lower and higher levels of expenditure. A simple demand system of equations focusing on five basic goods: Food, Recreation, Clothing, Transport, Rent, using the Canadian Family Expenditure Survey data was estimated. The comparison of the estimated elasticity of each commodity at the selected expectiles is tested to verify the statistical relevance of any difference among the estimates in the tails and those computed at the centre of the conditional distribution. The results show with a strong evidence that the elasticity of Food and Recreation grows across the expectiles. Clothing variations are less evident, while the Transport and Rent elasticity is basically constant across the expectiles.
Keywords: elasticity, expectiles, demand system
Published: October 31, 2017 Show citation
References
- Alston J.M., Foster K.A., Green R.D. (1994): Estimating elasticities with the linear approximate almost ideal demand system: some Monte Carlo results. Review of Economics and Statistics, 76: 351-356.
Go to original source...
- Angrist J., Chernozhukov V., Fernandez-Val I. (2006): Quantile regression under misspecification, with an application to the U.S. wage structure. Econometrica, 74: 539-563.
Go to original source...
- Banks J., Blundell R., Lewbel A. (1997): Quadratic Engel curves and consumer demand. Review of Economics and Statistics, 79: 527-539. demand curve and price rigidity: evidence from scanner data. The Scandinavian Journal of Economics, 112: 723-752.
Go to original source...
- Huber P. (1964): Robust estimation of a location parameter. Annals of Mathematical Statistics, 35: 73-101.
Go to original source...
- Katz L., Autor D. (1999): Changes in the wage structure and earnings inequality. In: Ashenfelter O., Card D. (eds): Handbook of Labor Economics, Vol. 3A. Elsevier Science, Amsterdam.
Go to original source...
- Kmenta J. (1986): Elements of Econometrics. Macmillan, New York.
- Koenker R., Bassett G. (1978): Regression quantiles. Econometrica, 46: 33-50.
Go to original source...
- Koenker R., Bassett G. (1982): Robust tests for heteroskedasticity based on regression quantiles. Econometrica, 50: 43-61.
Go to original source...
- Koenker R. (2005): Quantile Regression. Cambridge University Press, Cambridge.
Go to original source...
- Leser C.E. (1941): Family budget data and price-elasticities of demand. The Review of Economic Studies, 9: 40-57.
Go to original source...
- Lewbel A., Pendakur K. (2009): Tricks with Hicks: The EASI demand system. American Economic Review, 99: 827-863.
Go to original source...
- Manning W.G., Blumberg L., Moulton L.H. (1995): The demand for alcohol: the differential response to price. Journal of Health Economics, 14: 123-148.
Go to original source...
Go to PubMed...
- Marshall A. (1890): Principles of Economics 1. 1 st Ed. Macmillan, London.
- Mizobuchi K.I., Tanizaki H. (2014): On estimation of almost ideal demand system using moving blocks bootstrap and pairs bootstrap methods. Empirical Economics, 47: 1221-1250.
Go to original source...
- Moschini G. (1995): Units of measurement and the Stone index in demand system estimation. American Journal of Agricultural Economics, 77: 63-68.
Go to original source...
- Newey W., Powell J. (1987): Asymmetric least squares estimation and testing. Econometrica, 55: 819-847.
Go to original source...
- Pigou A.C. (1910): A method of determining the numerical value of elasticities of demand. Economic Journal, 20: 636-640.
Go to original source...
- Pollak R.A., Wales T.J. (1969): Estimation of the linear expenditure system. Econometrica, 37: 611-628.
Go to original source...
- Schultz H. (1938): The Theory and Measurement of Demand. University of Chicago Press.
- Shonkwiler J.S., Yen S.T. (1999): Two-step estimation of a censored system of equations. American Journal of Agricultural Economics, 81: 972-982.
Go to original source...
- Sobotka F., Radice R., Marra G., Kneib T. (2013): Estimating the relationship between women's education and fertility in Botswana by using an instrumental variable approach to semiparametric expectile regression. Journal of the Royal Statistical Society, Series C, 62: 25-45.
Go to original source...
- Stone R. (1954): Linear expenditure systems and demand analysis: An application to the pattern of British demand. The Economic Journal, 64: 511-527.
Go to original source...
- Theil H. (1967): Economics and Information Theory. NorthHolland, Amsterdam.
This is an open access article distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY NC 4.0), which permits non-comercial use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.