Holt, Matthew T. and Goodwin, Barry K. (2009): The Almost Ideal and Translog Demand Systems. Forthcoming in: Contributions to Economic Analysis, Quantifying Consumer Preferences , Vol. 288, (2009)
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Abstract
This chapter reviews the specification and application of the Deaton and Muellbauer (1980) Almost Ideal Demand System (AIDS) and the Christensen, Jorgensen, and Lau (1975) tranlog (TL) demand system. In so doing we examine various refinements to these models, including ways of incorporating demographic effects, methods by which curvature conditions can be imposed, and issues associated with incorporating structural change and seasonal effects. We also review methods for adjusting for autocorrelation in the model's residuals. A set of empirical examples for the AIDS and a the log TL version of the translog based on historical meat price and consumption data for the United States are also presented.
Item Type: | MPRA Paper |
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Original Title: | The Almost Ideal and Translog Demand Systems |
English Title: | The Almost Ideal and Translog Demand Systems |
Language: | English |
Keywords: | Almost ideal demand system, Autocorrelation, Curvature, Meat Demand, Translog |
Subjects: | C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C32 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes ; State Space Models D - Microeconomics > D1 - Household Behavior and Family Economics > D12 - Consumer Economics: Empirical Analysis Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q1 - Agriculture > Q11 - Aggregate Supply and Demand Analysis ; Prices |
Item ID: | 15092 |
Depositing User: | Matthew T. Holt |
Date Deposited: | 09 May 2009 07:23 |
Last Modified: | 26 Sep 2019 12:39 |
References: | Anderson, G. J., and R. W. Blundell (1982): “Estimation and Hypothesis Testing in Dynamic Singular Equation Systems,” Econometrica, 50, 1559–1571. Attfield, C. L. F. (1997): “Estimating A Cointegrating Demand System,” Europen Economic Review, 41, 61–73. Banks, J., R. Blundell, and A. Lewbel (1997): “Quadratic Engel Curves and Consumer Demand,” The Review of Economics and Statistics, 79(4), 527–539. Barten, A. P. (1969): “Maximum Likelihood Estimatiion of a Complete System of Demand Equations,” Europen Economic Review, 1, 7–63. Barten, A. P., and E. Geyskens (1975): “The Negaticity Condition in Consumer Demand,” European Economic Review, 6, 227–260. Berndt, E. R., and N. E. Savin (1975): “Estimation and Hypothesis Testing in Singular Equation Systems with Autoregressive Disturbances,” Econometrica, 43, 937–957. Browning, M., and C. Meghir (1991): “The Effects of Male and Female Labor Supply on Commodity Demands,” Econometrica, 59(4), 925–951. Buse, A. (1998): “Testing Homogeneity in the Linearized Almost Ideal Demand System,” American Journal of Agricultural Economics, 80(1), 208–220. Chalfant, J. A. (1987): “A Globally Flexible, Almost Ideal Demand System,” Journal of Business and Economic Statistics, 5(2), 233–242. Chalfant, J. A., R. S. Gray, and K. J. White (1991): “Evaluating Prior Beliefs in a Demand System: The Case of Meat Demand in Canada,” American Journal of Agricultural Economics, 73(2), 476–490. Christensen, L., and M. E. Manser (1977): “Estimating U.S. Consumer Preferences for Meat with a Flexible Utility Function,” Journal of Econometrrics, 5, 37–53. Christensen, L. R., D. W. Jorgenson, and L. J. Lau (1975): “Transcendental Logarithmic Utility Functions,” The American Economic Review, 65(3), 367–383. Davidson, J., and T. Terasvirta (2002): “Long Memory and Nonlinear Time Series,” Journal of Econometrics, 110, 105–112. Deaton, A., and J. Muellbauer (1980): “An Almost Ideal Demand System,” American Economic Review, 70(3), 312–326. Deaton, A., and J. Muellbauer (1980): Economics and Consumer Behavior. Cambridge University Press. Diewert, W. E., and T. J. Wales (1988a): “Normalized Quadratic Systems of Consumer Demand Functions,” Journal of Business & Economic Statistics, 6(3), 303–312. Diewert, W. E., and T. J. Wales (1988b): “A Normalized Quadratic Semiflexible Functional Form,” Journal of Econometrics, 37, 327–342. Eales, J. S., and L. J. Unnevehr (1988): “Demand for Beef and Chicken Products: Separability and Structural Change,” American Journal of Agricultural Economics, 70(3), 521–532. Eales, J. S., and L. J. Unnevehr (1994): “The Inverse Almost Ideal Demand System,” European Economic Review, 38(1), 101 – 115. Gallant, A. R. (1981): “On the Bias in Flexible Functional Forms and an Essentially Unbiased Form: The Fourier Flexible Form,” Journal of Econometrics, 15(2), 211 – 245. Gallant, A. R., and G. H. Golub (1984): “Imposing Curvature Restrictions on Flexible Functional Forms,” Journal of Econometrics, 26, 295–321. Geweke, J. (1993): “Bayesian Treatment of the Independent Student-t Linear Model,” Journal of Applied Econometrics, 8, S19–S40. Holt, M. T. (1998): “Autocorrelation Specification in Singular Equation Systems: A Further Look,” Economics Letters, 58, 135–141. Holt, M. T. (2002): “Inverse Demand Systems and Choice of Functional Form,” European Economic Review, 46, 117–142. Hotelling, H. (1935): “Demand Functions with Limited Budgets,” Econometrica, 3(1), 66–78. Karagiannisa, G., and G. J. Mergos (2002): “Estimating Theoretically Consistent Demand Systems Using Cointegration Techniques with Application to Greek Food Data,” Economics Letters, 74, 137–143. Lafrance, J. T. (2004): “Integrability of the Linear Approximate Almost Ideal Demand System,” Economics Letters, 84, 297–303. Lewbel, A. (1989): “Nesting the Aids and Translog Demand Systems,” International Economic Review, 30(2), 349–356. Lewbell, A., and S. Ng (2005): “Demand Systems with Nonstationary Prices,” Review of Economics and Statistics, 87, 479–494. Moschini, G. (1995): “Units of Measurement and the Stone Index in Demand System Estimation,” American Journal of Agricultural Economics, 77, 63–68. Moschini, G. (1998): “The Semiflexible Almost Ideal Demand System,” European Economic Review, 42, 349–364. Moschini, G. (1999): “Imposing Local Curvature Conditions in Flexible Demand Systems,” Journal of Business & Economic Statistics, 17(4), 487–490. Moschini, G., and K. D. Mielke (1989): “Modelling the Pattern of Structural Change in U.S. Meat Demand,” American Journal of Agricultural Economics, 71, 253–261. Moschini, G., and D. Moro (1994): “Autocorrelation Specification in Singular Equation Systems,” Economics Letters, 46, 303–309. Ng, S. (1995): “Testing for Homogeneity in Demand Systems When the Regressors Are Non-stationary,” Journal of Applied Econometrics, 10, 147–163. Piggott, N. E., and T. L. Marsh (2004): “Does Food Safety Information Impact U.S. Meat Demand?,” American Journal of Agricultural Economics, 86, 154–174. Pollak, R. A., and T. J. Wales (1992): Demand System Specification and Estimation. Oxford University Press. Ryan, D. L., and T. J. Wales (1998): “A Simple Method for Imposing Local Curvature in some Flexible Consumer–Demand Systems,” Journal of Business and Economic Statistics, 16, 331–338. Terrell, D. (1996): “Incorporating Monotonicity and Concavity Conditions in Flexible Functional Forms,” Journal of Applied Econometrics, 11(2), 179–194. U.S. Department of Agriculture (2006a): “Economic Resaerch Service. Poultry Yearbook,” Online, Stock No. 89007. U.S. Department of Agriculture (2006b): “Economic Research Service. Red Meat Yearbook,” Online Publication, Stock No. 94006. van Dijk, D., B. Strikhom, and T. Ter¨asvirta (2003): “The Effects of Institutional and Technological Change and Business Cycle Fluctuations on Seasonal Patterns in Quarterly Industrial Production Series,” Econometrics Journal, 6, 79–98. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/15092 |