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Fractional integration in total factor productivity: evidence from US data

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  • Luis Gil-Alana
  • Pedro Mendi

Abstract

This study examines the stochastic properties of different measures of Total Factor Productivity (TFP) in the USA and their components using fractional integration. The results show that its structure is more complicated than expected, formed by the interaction of various seasonal and non-seasonal unit (or fractional) processes. Thus, output (measured in terms of the GDP or the business sector value added) may be modelled as a unit root; the order of integration of capital is much higher than 1 and it may be specified even as an I(2) process, while labour contains a seasonal unit root. However, in all these cases, fractional degrees of integration may be even better characterizations for these series. As a result, the TFP series appear to be seasonally fractionally integrated, with d constrained between 0.5 and 1. A deeper investigation of the orders of integration at each of the frequencies shows that the order of integration at zero plays a much more important role that the seasonal frequencies, a result that is explained by the different stochastic nature of the components underlying the TFP.

Suggested Citation

  • Luis Gil-Alana & Pedro Mendi, 2005. "Fractional integration in total factor productivity: evidence from US data," Applied Economics, Taylor & Francis Journals, vol. 37(12), pages 1369-1383.
    • Handle: RePEc:taf:applec:v:37:y:2005:i:12:p:1369-1383
    DOI: 10.1080/00036840500118721
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    1. Luis A. Gil-Alana & Antonio Moreno & Seonghoon Cho, 2012. "The Deaton paradox in a long memory context with structural breaks," Applied Economics, Taylor & Francis Journals, vol. 44(25), pages 3309-3322, September.
    2. Tapas Mishra & Bazoumana Ouattara & Mamata Parhi, 2011. "A Note on Shock Persistence in Total Factor Productivity Growth," Economics Bulletin, AccessEcon, vol. 31(2), pages 1869-1893.
    3. Luis A. Gil-Alana & Sakiru Adebola Solarin & Mehmet Balcilar & Rangan Gupta, 2023. "Productivity and GDP: international evidence of persistence and trends over 130 years of data," Empirical Economics, Springer, vol. 64(3), pages 1219-1246, March.
    4. Sakiru Adebola Solarin, 2017. "Testing for the Stationarity in Total Factor Productivity: Nonlinearity Evidence from 79 Countries," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 8(1), pages 141-158, March.

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