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Some aspects of the translog production function estimation

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  • Florin-Marius PAVELESCU

    (Institute of National Economy, Romanian Academy)

Abstract

In a translog production function, the number of parameters practically ”explodes” as the number of considered production factors increases. Consequently, the shortcoming in the estimation of the respective production function is the occurrence of collinearity. Theoretically, the collinearity impact is minimum if a single production factor is taken into account. In this case, we can determine not only the output elasticity but also the elasticity of scale related to the respective production factor. In the present paper, we demonstrate that the relationship between the output elasticity and estimated average elasticity of scale depends on the dynamics trajectory of the production factor, underexponential and overexponential, respectively. At the end, a practical example is offered, dealing with the computation of the Gross Domestic Product elasticity and average elasticity of scale related to employed population in the United Kingdom and France during 1999-2009.

Suggested Citation

  • Florin-Marius PAVELESCU, 2011. "Some aspects of the translog production function estimation," Romanian Journal of Economics, Institute of National Economy, vol. 32(1(41)), pages 131-150, June.
    • Handle: RePEc:ine:journl:v:1:y:2011:i:41:p:131-150
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    References listed on IDEAS

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    1. Pavelescu, Florin Marius, 2005. "Impact Of Collinearity On The Estimated Parameters And Classical Statistical Tests Values Of Multifactorial Linear Regressions In Conditions Of O.L.S," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 2(2), pages 50-71.
    2. Pavelescu, Florin Marius, 2009. "A Review Of Student Test Properties In Condition Of Multifactorial Linear Regression," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 6(1), pages 63-75, March.
    3. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February.
    4. Pavelescu, Florin Marius, 2010. "An Analysis Model for the Disturbances Generated by Collinearity in the Context of the OLS Method," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(2), pages 245-264, July.
    5. Florin Marius Pavelescu, 2010. "An Extensive Study on the Disturbances Generated by Collinearity in a Linear Regression Model with Three Explanatory Variables," Romanian Journal of Economics, Institute of National Economy, vol. 31(2(40)), pages 65-93, December.
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    More about this item

    Keywords

    estimation constraints; informational energy; translog multiplier; augmented output elasticity related to a production factor.;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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