Bayesian estimation of the infrequency of purchase model with an application to food demand in the UK
AbstractA Bayesian method of estimating multivariate sample selection models is introduced and applied to the estimation of a demand system for food in the UK to account for censoring arising from infrequency of purchase. We show how it is possible to impose identifying restrictions on the sample selection equations and that, unlike a maximum likelihood framework, the imposition of adding up at both latent and observed levels is straightforward. We find that higher income households consume proportionately more meat and more fresh fruit and vegetables. Regional differences in fruit and vegetable consumption are marked with the highest levels of consumption in London and the South East. The presence of children in a household reduces levels of vegetable consumption. Households employed in the professional or managerial sectors have higher levels of fruit and vegetable consumption. Age has an influence on the consumption of fats and sugars, with consumption declining amongst older households and on the types of fruit and vegetables consumed with younger households preferring more ready meals and prepared fruit and vegetables.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 18836.
Date of creation: 26 Aug 2008
Date of revision:
Bayesian estimation; Demand system; Infrequency of purchase;
Find related papers by JEL classification:
- D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
- C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
- C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
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.:
- Deaton, A., 1990.
"Price Elasticities From Surveys Data: Extensions And Indonesian Results,"
69, World Bank - Living Standards Measurement.
- Deaton, Angus, 1990. "Price elasticities from survey data : Extensions and Indonesian results," Journal of Econometrics, Elsevier, vol. 44(3), pages 281-309, June.
- Deaton, A., 1988. "Price Elasticities From Survey Data: Extensions And Indonesian Results," Papers 138, Princeton, Woodrow Wilson School - Development Studies.
- Cragg, John G, 1971. "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods," Econometrica, Econometric Society, vol. 39(5), pages 829-44, September.
- Blundell, Richard & Meghir, Costas, 1987. "Bivariate alternatives to the Tobit model," Journal of Econometrics, Elsevier, vol. 34(1-2), pages 179-200.
- Daniel J. Phaneuf & Catherine L. Kling & Joseph A. Herriges, 2000.
"Estimation and Welfare Calculations in a Generalized Corner Solution Model with an Application to Recreation Demand,"
The Review of Economics and Statistics,
MIT Press, vol. 82(1), pages 83-92, February.
- Daniel J. Phaneuf & Catherine L. Kling & Joseph A. Herriges, 1998. "Estimation and Welfare Calculations in a Generalized Corner Solution Model with an Application to Recreation Demand," Center for Agricultural and Rural Development (CARD) Publications 99-wp207, Center for Agricultural and Rural Development (CARD) at Iowa State University.
- Phaneuf, Daniel J. & Kling, Catherine L. & Herriges, Joseph A., 2000. "Estimation and Welfare Calculations in a Generalized Corner Solution Model with an Application to Recreation Demand," Staff General Research Papers 1355, Iowa State University, Department of Economics.
- J. Scott Shonkwiler & Steven T. Yen, 1999. "Two-Step Estimation of a Censored System of Equations," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 972-982.
- Amemiya, Takeshi, 1974. "Multivariate Regression and Simultaneous Equation Models when the Dependent Variables Are Truncated Normal," Econometrica, Econometric Society, vol. 42(6), pages 999-1012, November.
- Wales, T. J. & Woodland, A. D., 1983. "Estimation of consumer demand systems with binding non-negativity constraints," Journal of Econometrics, Elsevier, vol. 21(3), pages 263-285, April.
- Stewart, Hayden & Yen, Steven T., 2004. "Changing household characteristics and the away-from-home food market: a censored equation system approach," Food Policy, Elsevier, vol. 29(6), pages 643-658, December.
- Steven T. Yen & Biing-Hwan Lin & David M. Smallwood, 2003. "Quasi- and Simulated-Likelihood Approaches to Censored Demand Systems: Food Consumption by Food Stamp Recipients in the United States," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(2), pages 458-478.
- Heien, Dale & Wessells, Cathy Roheim, 1990. "Demand Systems Estimation with Microdata: A Censored Regression Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(3), pages 365-71, July.
- Steven T. Yen, 2005. "A Multivariate Sample-Selection Model: Estimating Cigarette and Alcohol Demands with Zero Observations," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(2), pages 453-466.
- Steven T. Yen & Biing-Hwan Lin, 2006.
"A Sample Selection Approach to Censored Demand Systems,"
American Journal of Agricultural Economics,
Agricultural and Applied Economics Association, vol. 88(3), pages 742-749.
- Yen, Steven T. & Lin, Biing-Hwan, 2004. "A Sample Selection Approach To Censored Demand Systems," 2004 Annual meeting, August 1-4, Denver, CO 20082, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).
If references are entirely missing, you can add them using this form.