IDEAS home Printed from https://ideas.repec.org/a/bpj/jossai/v4y2016i3p269-279n7.html

A Generalized Constant Elasticity of Substitution Production Function Model and Its Application

Author

Listed:
  • Cheng Maolin

    (School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou215009, China)

Abstract

The constant elasticity of substitution production function describes the relationship between production results and production factors in the technological production process. The common production factors include capital and labor. In order to comprehensively reflect the input-output relationship, this paper generalizes the model and adds factors including energy, consumption, and import and export. With respect to estimating the parameters of the model, the paper proposes a high-precision and high-speed nonlinear regression method. The constant elasticity of substitution production function model is mainly used to calculate the contribution rates of economic growth factors, and this paper proposes a scientific and reliable calculating method. The final section of the paper proposes an empirical analysis of the contribution rates of Chinese economic growth factors.

Suggested Citation

  • Cheng Maolin, 2016. "A Generalized Constant Elasticity of Substitution Production Function Model and Its Application," Journal of Systems Science and Information, De Gruyter, vol. 4(3), pages 269-279, June.
  • Handle: RePEc:bpj:jossai:v:4:y:2016:i:3:p:269-279:n:7
    DOI: 10.21078/JSSI-2016-269-11
    as

    Download full text from publisher

    File URL: https://doi.org/10.21078/JSSI-2016-269-11
    Download Restriction: no

    File URL: https://libkey.io/10.21078/JSSI-2016-269-11?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Liqun Wang & Alexandre Leblanc, 2008. "Second-order nonlinear least squares estimation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(4), pages 883-900, December.
    2. Kemfert, Claudia, 1998. "Estimated substitution elasticities of a nested CES production function approach for Germany," Energy Economics, Elsevier, vol. 20(3), pages 249-264, June.
    3. Pollard, David & Radchenko, Peter, 2006. "Nonlinear least-squares estimation," Journal of Multivariate Analysis, Elsevier, vol. 97(2), pages 548-562, February.
    Full references (including those not matched with items on IDEAS)

    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. Cheng Maolin & Shi Guojun & Han Yun, 2019. "A Modified CES Production Function Model and Its Application in Calculating the Contribution Rate of Energy and Other Influencing Factors to Economic Growth," Journal of Systems Science and Information, De Gruyter, vol. 7(2), pages 161-172, April.
    2. Maolin Cheng, 2019. "A Grey CES Production Function Model and Its Application in Calculating the Contribution Rate of Economic Growth Factors," Complexity, Hindawi, vol. 2019, pages 1-8, April.
    3. Hojun You & Kyubaek Yoon & Wei-Ying Wu & Jongeun Choi & Chae Young Lim, 2024. "Regularized nonlinear regression with dependent errors and its application to a biomechanical model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 76(3), pages 481-510, June.
    4. Elena Lagomarsino & Karen Turner, 2017. "Is the production function Translog or CES? An empirical illustration using UK data," Working Papers 1713, University of Strathclyde Business School, Department of Economics.
    5. Lecca, Patrizio & Swales, Kim & Turner, Karen, 2011. "An investigation of issues relating to where energy should enter the production function," Economic Modelling, Elsevier, vol. 28(6), pages 2832-2841.
    6. Yazid Dissou & Lilia Karnizova & Qian Sun, 2015. "Industry-level Econometric Estimates of Energy-Capital-Labor Substitution with a Nested CES Production Function," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 43(1), pages 107-121, March.
    7. Michal Antoszewski, 2017. "Panel estimation of sectoral substitution elasticities for CES production functions," EcoMod2017 10160, EcoMod.
    8. Wissema, Wiepke & Dellink, Rob, 2007. "AGE analysis of the impact of a carbon energy tax on the Irish economy," Ecological Economics, Elsevier, vol. 61(4), pages 671-683, March.
    9. Merve KÜÇÜK & Gürkan KUMBAROĞLU & Kemal SARICA, 2018. "Substitution elasticities in an energy-augmented CES production function: An empirical analysis for Turkey," Journal of Economics and Political Economy, EconSciences Journals, vol. 5(2), pages 234-249, July.
    10. Lucas Bretschger, 2013. "Population Growth and Natural-Resource Scarcity: Long-Run Development under Seemingly Unfavorable Conditions," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(3), pages 722-755, July.
    11. Jean-François Fagnart & Marc Germain & Benjamin Peeters, 2020. "Can the Energy Transition Be Smooth? A General Equilibrium Approach to the EROEI," Sustainability, MDPI, vol. 12(3), pages 1-29, February.
    12. Macías, Arturo & Matilla-García, Mariano, 2015. "Net energy analysis in a Ramsey–Hotelling growth model," Energy Policy, Elsevier, vol. 86(C), pages 562-573.
    13. Haertel, Thomas & Hamburg, Britta & Kusin, Vladimir, 2022. "The macroeconometric model of the Bundesbank revisited," Technical Papers 01/2022, Deutsche Bundesbank.
    14. Baccianti, Claudio, 2013. "Estimation of sectoral elasticities of substitution along the international technology frontier," ZEW Discussion Papers 13-092, ZEW - Leibniz Centre for European Economic Research.
    15. Zha, Donglan & Kavuri, Anil Savio & Si, Songjian, 2018. "Energy-biased technical change in the Chinese industrial sector with CES production functions," Energy, Elsevier, vol. 148(C), pages 896-903.
    16. Cheng Maolin & Han Yun, 2018. "Parameter Estimation of a Mixed Production Function Model Based on Improved Firefly Algorithm and Model Application," Journal of Systems Science and Information, De Gruyter, vol. 6(4), pages 336-348, August.
    17. Yazid Dissou & Reza Ghazal, 2010. "Energy Substitutability in Canadian Manufacturing Econometric Estimation with Bootstrap Confidence Intervals," The Energy Journal, , vol. 31(1), pages 121-148, January.
    18. A. Greening, Lorna & Greene, David L. & Difiglio, Carmen, 2000. "Energy efficiency and consumption -- the rebound effect -- a survey," Energy Policy, Elsevier, vol. 28(6-7), pages 389-401, June.
    19. Dedi Rosadi & Shelton Peiris, 2014. "Second-order least-squares estimation for regression models with autocorrelated errors," Computational Statistics, Springer, vol. 29(5), pages 931-943, October.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:bpj:jossai:v:4:y:2016:i:3:p:269-279:n:7. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyterbrill.com .

    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.