Estimating Latent Total Consumption in a Household
This 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.
|Date of creation:||Aug 2002|
|Date of revision:|
|Contact details of provider:|| Postal: P.O.Box 8131 Dep, N-0033 Oslo, Norway|
Phone: (+47) 21 09 00 00
Fax: (+47) 21 09 49 73
Web page: http://www.ssb.no/en/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Attanasio, O.P. & Browning, M., 1993.
"Consumption Over the Life Cycle and Over the Business Cycle,"
9314, Tilburg - 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.J., 1993. "Consumption over the life cycle and over the business cycle," Discussion Paper 1993-14, Tilburg University, Center for Economic Research.
- 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.
- 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.
- 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.
- 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.
- Jørgen Aasness & Erling Røed Larsen, 2002. "Distributional and Environmental Effects of Taxes on Transportation," Discussion Papers 321, Statistics Norway, Research Department.
- 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.
- 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.
- Karl Jöreskog, 1978. "Structural analysis of covariance and correlation matrices," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 443-477, December.
- 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.
- Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
- Goldberger, Arthur S, 1972. "Structural Equation Methods in the Social Sciences," Econometrica, Econometric Society, vol. 40(6), pages 979-1001, November.
- Arthur Lewbel, 1998. "Semiparametric Latent Variable Model Estimation with Endogenous or Mismeasured Regressors," Econometrica, Econometric Society, vol. 66(1), pages 105-122, January.
- 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.
When requesting a correction, please mention this item's handle: RePEc:ssb:dispap:324. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (J Bruusgaard)
If references are entirely missing, you can add them using this form.