IDEAS home Printed from
   My bibliography  Save this article

A Note On The Mathematical Derivation Of Total Factor Productivity (Tfp) And Its Decompositions


  • Naziruddin Abdullah

    (International Islamic University Malaysia)


This article is written with a two-fold objective: to prove the equivalence between Total Factor Productivity (TFP) and technological change when the production function exhibits constant returns to scale, and to decompose the TFP into several components. Toward this end, we established a linkage between the theory of production (specifically the cost of production), and TFP. Prior to that, however, we showed how the TFP is computed using the Divisia indexes or the Tornqvist index. Finally, we showed that if the production is subject to constant returns to scale, the TFP growth rate is identical to the rate of technological change. Otherwise, with the existence of scale effects, the TFP may be decomposed into technological change and scale effects, the two major sources of TFP.

Suggested Citation

  • Naziruddin Abdullah, 2000. "A Note On The Mathematical Derivation Of Total Factor Productivity (Tfp) And Its Decompositions," IIUM Journal of Economics and Management, IIUM Journal of Economis and Management, vol. 8(1), pages 1-71, June.
  • Handle: RePEc:ije:journl:v:8:y:2000:i:1:p:71-

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    More about this item


    Islamic Economics;

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • O39 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Other


    Access and download statistics


    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:ije:journl:v:8:y:2000:i:1:p:71-. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gairuzazmi Mat Ghani). General contact details of provider: .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.