Estimating Latent Total Consumption in a Household
AbstractThis article presents a new way of estimating latent total consumption in a household that may improve the accuracy of studies into permanent income and consumption inequality. While the frequently used total purchase expenditure in a household is an unbiased estimator of latent total household consumption, it is inoptimal since total purchase expenditure is an un-weighted sum of expenditures that contain measurement errors. We derive a competing estimator, unbiased and variance minimizing, based on a latent variable model. From estimates of error term variance among consumption indicators, we give accurate indicators more weight, and align weights to minimize variance. An advantage of the suggested estimator is that it allows both expenditure and non-expenditure indicators of latent total consumption. We demonstrate empirically how the minimum-variance estimator reduces variance, and find that on Norwegian expenditure data from 1993 the reduction is 44 per cent.
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Bibliographic InfoPaper provided by Research Department of Statistics Norway in its series Discussion Papers with number 324.
Date of creation: Aug 2002
Date of revision:
Find related papers by JEL classification:
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data
- D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
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- Marianne Baxter & Urban J. Jermann, 1999.
"Household Production and the Excess Sensitivity of Consumption to Current Income,"
NBER Working Papers
7046, National Bureau of Economic Research, Inc.
- Urban J. Jermann & Marianne Baxter, 1999. "Household Production and the Excess Sensitivity of Consumption to Current Income," American Economic Review, American Economic Association, vol. 89(4), pages 902-920, September.
- Attanasio, O.P. & Browning, M.J., 1993.
"Consumption over the life cycle and over the business cycle,"
1993-14, Tilburg University, Center for Economic Research.
- Attanasio, Orazio P & Browning, Martin, 1995. "Consumption over the Life Cycle and over the Business Cycle," American Economic Review, American Economic Association, vol. 85(5), pages 1118-37, December.
- Orazio P. Attanasio & Martin Browning, 1993. "Consumption over the Life Cycle and over the Business Cycle," NBER Working Papers 4453, National Bureau of Economic Research, Inc.
- Attanasio, O.P. & Browning, M., 1993. "Consumption Over the Life Cycle and Over the Business Cycle," Papers 9314, Tilburg - Center for Economic Research.
- Goldberger, Arthur S, 1972. "Structural Equation Methods in the Social Sciences," Econometrica, Econometric Society, vol. 40(6), pages 979-1001, November.
- John Sabelhaus & Jeffrey A. Groen, 2000. "Can Permanent-Income Theory Explain Cross-Sectional Consumption Patterns?," The Review of Economics and Statistics, MIT Press, vol. 82(3), pages 431-438, August.
- Kay, J. A. & Keen, M. J. & Morris, C. N., 1984. "Estimating consumption from expenditure data," Journal of Public Economics, Elsevier, vol. 23(1-2), pages 169-181.
- Baxter, Marianne, 1996. "Are Consumer Durables Important for Business Cycles?," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 147-55, February.
- Goldberger, Arthur S, 1972. "Maximum-Likelihood Estimation of Regressions Containing Unobservable Independent Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 1-15, February.
- Jørgen Aasness & Erling Røed Larsen, 2002. "Distributional and Environmental Effects of Taxes on Transportation," Discussion Papers 321, Research Department of Statistics Norway.
- Karl Jöreskog, 1978. "Structural analysis of covariance and correlation matrices," Psychometrika, Springer, vol. 43(4), pages 443-477, December.
- Blundell, Richard & Pashardes, Panos & Weber, Guglielmo, 1993. "What Do We Learn About Consumer Demand Patterns from Micro Data?," American Economic Review, American Economic Association, vol. 83(3), pages 570-97, June.
- Lewbel, Arthur, 1996. "Demand Estimation with Expenditure Measurement Errors on the Left and Right Hand Side," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 718-25, November.
- Henri Theil & Charles B. Moss, 1999. "Note The measurement of inequality by components of total expenditure," Empirical Economics, Springer, vol. 24(3), pages 559-561.
- Arthur Lewbel, 1998. "Semiparametric Latent Variable Model Estimation with Endogenous or Mismeasured Regressors," Econometrica, Econometric Society, vol. 66(1), pages 105-122, January.
- Caballero, R.J., 1988.
"Consumption Puzzles And Precautionary Savings,"
1988_05, Columbia University, Department of Economics.
- Saunders, Christopher, 1980. "Measures of Total Household Consumption," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 26(4), pages 351-66, December.
- Campbell, John Y. & Mankiw, N. Gregory, 1991. "The response of consumption to income : A cross-country investigation," European Economic Review, Elsevier, vol. 35(4), pages 723-756, May.
- Erling Røed Larsen, 2002. "Consumption Inequality in Norway in the 80s and 90s," Discussion Papers 325, Research Department of Statistics Norway.
- Erling Røed Larsen, 2005. "Distributional Effects of Environmental Taxes on Transportation. Evidence from Engel Curves in the United States," Discussion Papers 428, Research Department of Statistics Norway.
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