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Does the Stochastic Specification of the Linear Expenditure System Matter?

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When 'income' in a system of demand equations is defined as total expenditure, actual expenditure on any commodity must lie between zero and income, or equivalently, budget shares must lie between zero and one. But models for expenditures or shares are often the sum of deterministic components (predicted values), which are functions of prices and income, and disturbances, usually assumed multivariate normal. The predicted values ought to satisfy the same bounds as the dependent variables and will do so if the demand system is 'regular'. But even then, the situation is theoretically inconsistent with unbounded disturbances and it has been proposed (Fry, et al, 1996) that analysis be appropriately modified. In assessing how much practical difference this makes, the linear expenditure system (LES) is, for reasons described in the paper, the crucial case. We compare estimation methods for the LES, using Irish data from 1979-99 on some broadly defined commodities, and find that the differences are not of practical concern.

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  • Prof. Denis Conniffe and John Eakins, 2002. "Does the Stochastic Specification of the Linear Expenditure System Matter?," NIRSA Working Paper Series 8, National Institute for Regional and Spatial Analysis (NIRSA), NUI Maynooth, Ireland..
    • Handle: RePEc:nir:nirwps:wps08
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    1. Gerry Boyle, 1995. "A MAIDS Model of Irish Meat Demand," Economics Department Working Paper Series n570695, Department of Economics, National University of Ireland - Maynooth.
    2. William A. Barnett, 2000. "New Indices of Money Supply and the Flexible Laurent Demand System," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 325-359, Emerald Group Publishing Limited.
    3. Chalfant, James A, 1987. "A Globally Flexible, Almost Ideal Demand System," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(2), pages 233-242, April.
    4. W.A. Barnett & J.M. Binner, 2004. "The Global Properties of the Minflex Laurent, Generalized Leontief, and Translog Flexible Functional Forms," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 79-97, Emerald Group Publishing Limited.
    5. Fry, Jane M. & Fry, Tim R. L. & McLaren, Keith R., 1996. "The stochastic specification of demand share equations: Restricting budget shares to the unit simplex," Journal of Econometrics, Elsevier, vol. 73(2), pages 377-385, August.
    6. Russel J. Cooper & Keith R. McLaren, 1992. "An Empirically Oriented Demand System with Improved Regularity Properties," Canadian Journal of Economics, Canadian Economics Association, vol. 25(3), pages 652-668, August.
    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.
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    1. Darwin Cortes & Jorge Perez, 2010. "El Consumo de los Hogares Colombianos, 2006-2007: Estimación de Sistemas de Demanda," Revista Desarrollo y Sociedad, Universidad de los Andes,Facultad de Economía, CEDE, December.
    2. R. A. Somerville, 2004. "Changes in Relative Consumer Prices and the Substitution Bias of the Laspeyres Price Index - Ireland, 1985-2001," The Economic and Social Review, Economic and Social Studies, vol. 35(1), pages 55-82.
    3. Jorge Talero Bernal, 2016. "Una comparación del gasto por tres niveles de ingreso para Colombia bajo una estimación del sistema de ecuaciones de demanda Working y Leser y del Sistema Lineal de Gasto Extendido 2008," Revista CIFE, Universidad Santo Tomás, March.
    4. Cristian Ricardo Nogales Carvajal, 2009. "Un sistema lineal de gasto: identificando patrones de consumo de alimentos en Bolivia," Investigación & Desarrollo 0109, Universidad Privada Boliviana, revised Jan 2009.

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