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Inferring the Nutrient Content of Food With Prior Information

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  • Jeffrey T. LaFrance

Abstract

Given measurements on the nutrient content of the U.S. food supply and a coherent reduced form empirical model of the demand for foods, we can analyze the effect of agricultural farm and food policy on nutrition. Using unpublished documents from the HNIS, estimates of the percentages of seventeen nutrients supplied by twenty-one foods were compiled for the period 1952-1983. The Bayesian Method of Moments is applied to this data set to obtain a proper prior for the purpose of drawing year-to-year inferences about the nutrient content of the U.S. food supply for the period 1909-1994. Information theory and the Kullback-Leibler cross entropy criterion are used to formalize the inference problem.
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Suggested Citation

  • Jeffrey T. LaFrance, 1999. "Inferring the Nutrient Content of Food With Prior Information," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(3), pages 728-734.
  • Handle: RePEc:oup:ajagec:v:81:y:1999:i:3:p:728-734
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    File URL: http://hdl.handle.net/10.2307/1244042
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    1. Jeffrey T. LaFrance & W. Michael Hanemann, 1989. "The Dual Structure of Incomplete Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(2), pages 262-274.
    2. LaFrance, Jeffrey T., 2008. "The structure of US food demand," Journal of Econometrics, Elsevier, vol. 147(2), pages 336-349, December.
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    Cited by:

    1. Wu, Ximing & Perloff, Jeffrey M. & Golan, Amos, 2002. "Effects of Government Policies on Income Distribution and Welfare," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt74r4h1fc, Department of Agricultural & Resource Economics, UC Berkeley.
    2. Arnold Zellner, 2003. "Some Recent Developments in Econometric Inference," Econometric Reviews, Taylor & Francis Journals, vol. 22(2), pages 203-215.
    3. Atkinson, Scott E. & Dorfman, Jeffrey H., 2005. "Bayesian measurement of productivity and efficiency in the presence of undesirable outputs: crediting electric utilities for reducing air pollution," Journal of Econometrics, Elsevier, vol. 126(2), pages 445-468, June.
    4. Shen, Edward Z. & Perloff, Jeffrey M., 2001. "Maximum entropy and Bayesian approaches to the ratio problem," Journal of Econometrics, Elsevier, vol. 104(2), pages 289-313, September.
    5. Golan, Amos, 2001. "A simultaneous estimation and variable selection rule," Journal of Econometrics, Elsevier, vol. 101(1), pages 165-193, March.
    6. Arnold Zellner, 2001. "Remarks on a 'critique' of the Bayesian Method of Moments," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(6), pages 775-778.
    7. Scott E. Atkinson & Jeffrey H. Dorfman, 2009. "Feasible estimation of firm-specific allocative inefficiency through Bayesian numerical methods," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(4), pages 675-697.
    8. Zellner, Arnold, 2006. "S. James Press And Bayesian Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 10(05), pages 667-684, November.
    9. Arnold Zellner, 2009. "Honorary Lecture on S. James Press and Bayesian Analysis," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 1(1), pages 98-118, September.
    10. Timothy K.M. Beatty, 2007. "Recovering the Shadow Value of Nutrients," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(1), pages 52-62.
    11. Zellner, Arnold, 2002. "Information processing and Bayesian analysis," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 41-50, March.
    12. Zellner, Arnold, 2007. "Some aspects of the history of Bayesian information processing," Journal of Econometrics, Elsevier, vol. 138(2), pages 388-404, June.

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