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Does the Stochastic Specification of the Linear Expenditure System Matter?

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  • Denis Conniffe

    (NIRSA and NUI, Maynooth)

  • John Eakins

    (The Economic and Social Research Institute, Dublin)

Abstract

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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File URL: http://www.esr.ie/Vol34_2Conniffe.pdf
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Bibliographic Info

Article provided by Economic and Social Studies in its journal Economic and Social Review.

Volume (Year): 34 (2003)
Issue (Month): 1 ()
Pages: 23–32

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Handle: RePEc:eso:journl:v:34:y:2003:i:1:p:23-32

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  1. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
  2. Gerry Boyle, 1995. "A MAIDS Model of Irish Meat Demand," Economics, Finance and Accounting Department Working Paper Series n570695, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
  3. 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 652-68, August.
  4. Barnett, William A, 1983. "New Indices of Money Supply and the Flexible Laurent Demand System," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(1), pages 7-23, January.
  5. Chalfant, James A, 1987. "A Globally Flexible, Almost Ideal Demand System," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(2), pages 233-42, April.
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Cited by:
  1. Darwin Cortés & Jorge Eduardo Pérez, 2010. "El consumo de los hogares colombianos, 2006-2007: estimación de sistemas de demanda," DOCUMENTOS DE TRABAJO 007271, UNIVERSIDAD DEL ROSARIO.
  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.

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