[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/uam/wpaper/200501.html
   My bibliography  Save this paper

Return to Dollar, Generalized Distance Function and the Fisher Productivity Index

Author

Listed:
  • Zofío, José Luis

    (Departamento de Análisis Económico (Teoría e Historia Económica). Universidad Autónoma de Madrid)

  • Prieto, Angel

    (Ministerio de Educación y Ciencia - C.S.I.C.)

Abstract
Exploring the duality between a return to dollar definition of profit and the generalized distance function we establish the relationship between the Laspeyres, Paasche and Fisher productivity indexes and their alternative Malmquist indexes counterparts. By proceeding this way, we propose a consistent decomposition of these productivity indexes into two mutually exclusive components. A technical component represented by the Malmquist index and an economical component which can be identified with the contribution that allocative criteria make to productivity change. With regard to the Fisher index, we indicate how researchers can further decompose the Malmquist technical component rendering explicit the sources of productivity change. We also show how the proposed model can be implemented by means of Data Envelopment Analysis techniques, and illustrate the empirical process with an example data set.

Suggested Citation

  • Zofío, José Luis & Prieto, Angel, 2005. "Return to Dollar, Generalized Distance Function and the Fisher Productivity Index," Working Papers in Economic Theory 2005/01, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    • Handle: RePEc:uam:wpaper:200501
    as

    Download full text from publisher

    File URL: http://www.uam.es/departamentos/economicas/analecon/especifica/mimeo/WP12005Red.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. McFadden, Daniel, 1978. "Cost, Revenue, and Profit Functions," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 1, McMaster University Archive for the History of Economic Thought.
    2. Jean-Paul Chavas & Thomas L. Cox, 1999. "A Generalized Distance Function and the Analysis of Production Efficiency," Southern Economic Journal, John Wiley & Sons, vol. 66(2), pages 294-318, October.
    3. Ray, Subhash C & Desli, Evangelia, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1033-1039, December.
    4. Bert Balk, 2001. "Scale Efficiency and Productivity Change," Journal of Productivity Analysis, Springer, vol. 15(3), pages 159-183, May.
    5. Erwin Diewert & Denis Lawrence, 1999. "Measuring New Zealand’s Productivity," Treasury Working Paper Series 99/05, New Zealand Treasury.
    6. Moses Abramovitz, 1956. "Resource and Output Trends in the United States since 1870," NBER Books, National Bureau of Economic Research, Inc, number abra56-1.
    7. Fare, Rolf & Grosskopf, Shawna & Zaim, Osman, 2002. "Hyperbolic efficiency and return to the dollar," European Journal of Operational Research, Elsevier, vol. 136(3), pages 671-679, February.
    8. C. Lovell, 2003. "The Decomposition of Malmquist Productivity Indexes," Journal of Productivity Analysis, Springer, vol. 20(3), pages 437-458, November.
    9. Moses Abramovitz, 1956. "Resource and Output Trends in the United States since 1870," NBER Chapters, in: Resource and Output Trends in the United States since 1870, pages 1-23, National Bureau of Economic Research, Inc.
    10. Harberger, Arnold C, 1998. "A Vision of the Growth Process," American Economic Review, American Economic Association, vol. 88(1), pages 1-32, March.
    11. Diewert, W E, 1992. "The Measurement of Productivity," Bulletin of Economic Research, Wiley Blackwell, vol. 44(3), pages 163-198, July.
    12. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    13. E. Grifell-Tatjé & C. Lovell, 1999. "A generalized Malmquist productivity index," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(1), pages 81-101, June.
    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. Kai Hu & Dandan Li & Daqian Shi & Wenli Xu, 2023. "Environmental regulation and energy efficiency: evidence from daily penalty policy in China," Journal of Regulatory Economics, Springer, vol. 63(1), pages 1-29, April.
    2. Lien, Gudbrand & Kumbhakar, Subal C. & Alem, Habtamu, 2018. "Endogeneity, heterogeneity, and determinants of inefficiency in Norwegian crop-producing farms," International Journal of Production Economics, Elsevier, vol. 201(C), pages 53-61.
    3. Chia-Yen Lee, 2017. "Directional marginal productivity: a foundation of meta-data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(5), pages 544-555, May.
    4. Halická, Margaréta & Trnovská, Mária, 2019. "Duality and profit efficiency for the hyperbolic measure model," European Journal of Operational Research, Elsevier, vol. 278(2), pages 410-421.
    5. Aparicio, Juan & Zofío, José L., 2021. "Economic cross-efficiency," Omega, Elsevier, vol. 100(C).
      • Aparicio, J. & Zofío, J.L., 2019. "Economic Cross-Efficiency," ERIM Report Series Research in Management ERS-2019-001-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    6. Lee, Chia-Yen & Johnson, Andrew L., 2012. "Two-dimensional efficiency decomposition to measure the demand effect in productivity analysis," European Journal of Operational Research, Elsevier, vol. 216(3), pages 584-593.
    7. Fernando Jiménez-Sáez & Jon Mikel Zabala-Iturriagagoitia & Jose Luis Zofío, 2013. "Who leads research productivity growth? Guidelines for R&D policy-makers," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(1), pages 273-303, January.
    8. Jiménez, Fernando & Zabala Iturriagagoitia, Jon Mikel & Zofío, José Luis, 2007. "Efficiency in Public Research Centers: Evaluating the Spanish Food Technology Program," Working Papers in Economic Theory 2007/04, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    9. Aparicio, Juan & Zofío, José L., 2023. "Decomposing profit change: Konüs, Bennet and Luenberger indicators," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    10. Juan Aparicio & José L. Zofío, 2020. "New Definitions of Economic Cross-efficiency," International Series in Operations Research & Management Science, in: Juan Aparicio & C. A. Knox Lovell & Jesus T. Pastor & Joe Zhu (ed.), Advances in Efficiency and Productivity II, pages 11-32, Springer.
    11. Jiménez-Sáez, Fernando & Zabala-Iturriagagoitia, Jon Mikel & Zofío, José L. & Castro-Martínez, Elena, 2011. "Evaluating research efficiency within National R&D Programmes," Research Policy, Elsevier, vol. 40(2), pages 230-241, March.
    12. Barbero, Javier & Zofío, José L., 2023. "The measurement of profit, profitability, cost and revenue efficiency through data envelopment analysis: A comparison of models using BenchmarkingEconomicEfficiency.jl," Socio-Economic Planning Sciences, Elsevier, vol. 89(C).
    13. Kumbhakar, Subal C., 2011. "Estimation of production technology when the objective is to maximize return to the outlay," European Journal of Operational Research, Elsevier, vol. 208(2), pages 170-176, January.

    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. Valentin Zelenyuk, 2023. "Productivity analysis: roots, foundations, trends and perspectives," Journal of Productivity Analysis, Springer, vol. 60(3), pages 229-247, December.
    2. Briec, Walter & Dumas, Audrey & Kerstens, Kristiaan & Stenger, Agathe, 2022. "Generalised commensurability properties of efficiency measures: Implications for productivity indicators," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1481-1492.
    3. Antonio Peyrache, 2014. "Hicks-Moorsteen versus Malmquist: a connection by means of a radial productivity index," Journal of Productivity Analysis, Springer, vol. 41(3), pages 435-442, June.
    4. Jradi, Samah & Bouzdine Chameeva, Tatiana & Aparicio, Juan, 2019. "The measurement of revenue inefficiency over time: An additive perspective," Omega, Elsevier, vol. 83(C), pages 167-180.
    5. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    6. Varun Mahajan & D. K. Nauriyal & S. P. Singh, 2020. "Domestic market competitiveness of Indian drug and pharmaceutical industry," Review of Managerial Science, Springer, vol. 14(3), pages 519-559, June.
    7. Diogo Cunha Ferreira & Rui Cunha Marques, 2016. "Malmquist and Hicks–Moorsteen Productivity Indexes for Clusters Performance Evaluation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1015-1053, September.
    8. Jesus T. Pastor & Juan Aparicio & Javier Alcaraz & Fernando Vidal & Diego Pastor, 2018. "Bounded directional distance function models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(4), pages 985-1004, December.
    9. Christos Pantzios & Giannis Karagiannis & Vangelis Tzouvelekas, 2011. "Parametric decomposition of the input-oriented Malmquist productivity index: with an application to Greek aquaculture," Journal of Productivity Analysis, Springer, vol. 36(1), pages 21-31, August.
    10. Martin Boďa & Emília Zimková, 2017. "Malmquist index analysis of the recent development of the Slovak banking sector from two different angles," Economic Change and Restructuring, Springer, vol. 50(2), pages 95-131, May.
    11. Kenneth I. Carlaw & Richard G. Lipsey, 2003. "Productivity, Technology and Economic Growth: What is the Relationship?," Journal of Economic Surveys, Wiley Blackwell, vol. 17(3), pages 457-495, July.
    12. Fernando Jiménez-Sáez & Jon Mikel Zabala-Iturriagagoitia & Jose Luis Zofío, 2013. "Who leads research productivity growth? Guidelines for R&D policy-makers," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(1), pages 273-303, January.
    13. Oleg Badunenko & Daniel J. Henderson & Valentin Zelenyuk, 2017. "The Productivity of Nations," CEPA Working Papers Series WP022017, School of Economics, University of Queensland, Australia.
    14. Mohsen Afsharian & Heinz Ahn, 2015. "The overall Malmquist index: a new approach for measuring productivity changes over time," Annals of Operations Research, Springer, vol. 226(1), pages 1-27, March.
    15. Byeong U. Park & Léopold Simar & Valentin Zelenyuk, 2013. "Non-Parametric Approach to Dynamic Time Series Discrete Choice Models," CEPA Working Papers Series WP092013, School of Economics, University of Queensland, Australia.
    16. Magdalena Kapelko & Alfons Oude Lansink, 2015. "An international comparison of productivity change in the textile and clothing industry: a bootstrapped Malmquist index approach," Empirical Economics, Springer, vol. 48(4), pages 1499-1523, June.
    17. Kevork, Ilias S. & Pange, Jenny & Tzeremes, Panayiotis & Tzeremes, Nickolaos G., 2017. "Estimating Malmquist productivity indexes using probabilistic directional distances: An application to the European banking sector," European Journal of Operational Research, Elsevier, vol. 261(3), pages 1125-1140.
    18. Jens J. Krüger, 2020. "Long‐run productivity trends: A global update with a global index," Review of Development Economics, Wiley Blackwell, vol. 24(4), pages 1393-1412, November.
    19. Pilyavskyy Anatoliy & Aaronson William & Matsiv Yuriy, 2016. "Comparative Analysis Of Healthcare Performance In West And South Regions Of Ukraine," Comparative Economic Research, Sciendo, vol. 19(5), pages 143-155, December.
    20. Pastor, Jesus T. & Lovell, C.A. Knox & Aparicio, Juan, 2020. "Defining a new graph inefficiency measure for the proportional directional distance function and introducing a new Malmquist productivity index," European Journal of Operational Research, Elsevier, vol. 281(1), pages 222-230.

    More about this item

    Keywords

    Generalized Distance Function; Return to Dollar; Fisher and Malmquist Productivity Indexes;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:uam:wpaper:200501. 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: Andrés Maroto-Sánchez (email available below). General contact details of provider: https://edirc.repec.org/data/dauames.html .

    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.