IDEAS home Printed from https://ideas.repec.org/a/cup/jagaec/v37y2005i03p619-634_02.html
   My bibliography  Save this article

Estimating Indirect Production Functions with a More General Specification: An Application of the Lewbel Model

Author

Listed:
  • Hilmer, Christiana E.
  • Holt, Matthew T.

Abstract

Whereas consumer theory employs several different empirical specifications for estimating indirect utility functions, producer theory has relied on the Translog specification to estimate the indirect production function. In this paper, we apply Lewbel's more general functional specification and investigate its implications for the estimation of indirect production functions in productivity analysis. An attractive feature of the Lewbel model is that it nests both the Translog and the almost ideal supply system, offering a method to assess the empirical validity of all three specifications. Aggregate U.S. production data are used to examine the performance of the three models in an empirical application.

Suggested Citation

  • Hilmer, Christiana E. & Holt, Matthew T., 2005. "Estimating Indirect Production Functions with a More General Specification: An Application of the Lewbel Model," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 37(3), pages 619-634, December.
  • Handle: RePEc:cup:jagaec:v:37:y:2005:i:03:p:619-634_02
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S1074070800027127/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Eales, James S., 1994. "The Inverse Lewbel Demand System," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 19(1), pages 1-10, July.
    2. James A. Chalfant & Richard S. Gray & Kenneth J. White, 1991. "Evaluating Prior Beliefs in a Demand System: The Case of Meat Demand in Canada," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(2), pages 476-490.
    3. Berndt, Ernst R & Wood, David O, 1975. "Technology, Prices, and the Derived Demand for Energy," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 259-268, August.
    4. Wang, Qingbin & Halbrendt, Catherine & Johnson, Stanley R., 1996. "A Non-Nested Test of the AIDS vs. The Translog Demand System," Staff General Research Papers Archive 996, Iowa State University, Department of Economics.
    5. Diewert, W E, 1974. "Functional Forms for Revenue and Factor Requirements Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 119-130, February.
    6. Appelbaum, Elie, 1979. "On the Choice of Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 449-458, June.
    7. Wang, Qingbin & Halbrendt, Catherine & Johnson, Stanley R., 1996. "A non-nested test of the AIDS vs. the translog demand system," Economics Letters, Elsevier, vol. 51(2), pages 139-143, May.
    8. Buse, A., 1979. "Goodness-of-fit in the seemingly unrelated regressions model : A generalization," Journal of Econometrics, Elsevier, vol. 10(1), pages 109-113, April.
    9. Lewbel, Arthur, 1989. "Nesting the AIDS and Translog Demand System," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(2), pages 349-356, May.
    10. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, September.
    11. Berndt, Ernst R & Khaled, Mohammed S, 1979. "Parametric Productivity Measurement and Choice among Flexible Functional Forms," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1220-1245, December.
    12. Steven T. Yen & Wen S. Chern, 1992. "Flexible Demand Systems with Serially Correlated Errors: Fat and Oil Consumption in the United States," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 74(3), pages 689-697.
    13. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    14. V. Eldon Ball & Jean-Christophe Bureau & Richard Nehring & Agapi Somwaru, 1997. "Agricultural Productivity Revisited," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1045-1063.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. K. Obeng, 2011. "Indirect production function and the output effect of public transit subsidies," Transportation, Springer, vol. 38(2), pages 191-214, March.
    2. Obeng, K. & Sakano, R. & Naanwaab, C., 2016. "Understanding overall output efficiency in public transit systems: The roles of input regulations, perceived budget and input subsidies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 133-150.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Holt, Matthew T., 2002. "Inverse demand systems and choice of functional form," European Economic Review, Elsevier, vol. 46(1), pages 117-142, January.
    2. Herve Guyomard & Chantal Le Mouël & U. Vasavada, 1993. "Applying duality theory in agricultural production economics as a basis of policy decision making [[Application de la théorie de la dualité en économie de la production agricole : utilisation pour ," Post-Print hal-02850915, HAL.
    3. Simona Bigerna & Carlo Andrea Bollino & Maria Chiara D’Errico, 2020. "A general expenditure system for estimation of consumer demand functions," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 37(3), pages 1071-1088, October.
    4. Thompson, Alexi, 2013. "An almost ideal supply system estimate of US energy substitution," Energy Economics, Elsevier, vol. 40(C), pages 813-818.
    5. Liu, Hongbo & Parton, Kevin A. & Zhou, Zhang-Yue & Cox, Rod, 2009. "At-home meat consumption in China: an empirical study," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 53(4), pages 1-17.
    6. Alejandro Onofri & Lilyan E. Fulginiti, 2005. "Public Inputs and Productivty in the Agricultural Sector: A Dynamic Dual Approach," Others 0502011, University Library of Munich, Germany.
    7. Voigt, Peter, 2004. "Russlands Weg vom Plan zum Markt: Sektorale Trends und regionale Spezifika. Eine Analyse der Produktivitäts- und Effizienzentwicklungen in der Transformationsphase," Studies on the Agricultural and Food Sector in Transition Economies, Leibniz Institute of Agricultural Development in Transition Economies (IAMO), volume 28, number 93021.
    8. Okrent, Abigail M. & Alston, Julian M., 2011. "Demand for Food in the United States: A Review of Literature, Evaluation of Previous Estimates, and Presentation of New Estimates of Demand," Monographs, University of California, Davis, Giannini Foundation, number 251908, December.
    9. H. Youn Kim, 2005. "Aggregation Over Firms and Flexible Functional Forms," The Economic Record, The Economic Society of Australia, vol. 81(252), pages 19-29, March.
    10. Widenhorn, Andreas & Salhofer, Klaus, 2014. "Using a Generalized Differenced Demand Model to Estimate Price and Expenditure Elasticities for Milk and Meat in Austria," Journal of International Agricultural Trade and Development, Journal of International Agricultural Trade and Development, vol. 63(2).
    11. He, Yongda & Lin, Boqiang, 2019. "Heterogeneity and asymmetric effects in energy resources allocation of the manufacturing sectors in China," Energy, Elsevier, vol. 170(C), pages 1019-1035.
    12. GIDO, Eric Obedy, 2022. "Household Demand System Of African Indigenous Vegetables In Kenya," Review of Agricultural and Applied Economics (RAAE), Faculty of Economics and Management, Slovak Agricultural University in Nitra, vol. 25(1), March.
    13. Karagiannis, Giannis & Katranidis, Stelios D. & Velentzas, Kostas, 1996. "Decomposition Analysis Of Factor Cost Shares: The Case Of Greek Agriculture," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 28(2), pages 1-11, December.
    14. Hilmer, Christiana E. & Holt, Matthew T., 1999. "The Almost Ideal Supply System And Agricultural Production In The United States," 1999 Annual meeting, August 8-11, Nashville, TN 21659, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    15. Perekhozhuk, Oleksandr, 2007. "Marktstruktur und Preisbildung auf dem ukrainischen Markt für Rohmilch," Studies on the Agricultural and Food Sector in Transition Economies, Leibniz Institute of Agricultural Development in Transition Economies (IAMO), volume 41, number 92322.
    16. Matteo Manera & Bruno Sitzia, 2005. "Empirical factor demands and flexible functional forms: a bayesian approach," Economic Systems Research, Taylor & Francis Journals, vol. 17(1), pages 57-75.
    17. Widenhorn, Andreas & Salhofer, Klaus, 2014. "Using a Generalized Differenced Demand Model to Estimate Price and Expenditure Elasticities for Milk and Meat in Austria," German Journal of Agricultural Economics, Humboldt-Universitaet zu Berlin, Department for Agricultural Economics, vol. 63(02), pages 1-16, June.
    18. Holt, Matthew T. & Goodwin, Barry K., 2009. "The Almost Ideal and Translog Demand Systems," MPRA Paper 15092, University Library of Munich, Germany.
    19. Onofri, Alejandro & Fulginiti, Lilyan E., 2001. "Public Inputs and Endogenous Growth in the Agricultural Sector: a Dynamic Dual Approach," 2001 Annual meeting, August 5-8, Chicago, IL 20438, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    20. Kim, Jihyo & Heo, Eunnyeong, 2013. "Asymmetric substitutability between energy and capital: Evidence from the manufacturing sectors in 10 OECD countries," Energy Economics, Elsevier, vol. 40(C), pages 81-89.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cup:jagaec:v:37:y:2005:i:03:p:619-634_02. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/aae .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.