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A re-interpretation of the linear quadratic model when inventories and sales are polynomially cointegrated

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  • Paul Mizen

    (School of Economics, University of Nottingham, UK)

  • Anindya Banerjee

    (Department of Economics, European University Institute, Florence, Italy)

Abstract

Estimation of the linear quadratic model, the workhorse of the inventory literature, traditionally takes inventories and sales to be first-difference stationary series, and the ratio of the two variables to be stationary. However, these assumptions do not always match the properties of the data for the last two decades in the United States. We propose a model that allows for the non-stationary characteristics of the data, using polynomial cointegration. We show that the closed-form solution has other recent models as special cases. The resulting model performs well on aggregate and disaggregated data. Copyright © 2006 John Wiley & Sons, Ltd.

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Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 21 (2006)
Issue (Month): 8 ()
Pages: 1249-1264

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Handle: RePEc:jae:japmet:v:21:y:2006:i:8:p:1249-1264

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  1. Peter C.B. Phillips, 1985. "Time Series Regression with a Unit Root," Cowles Foundation Discussion Papers 740R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1986.
  2. Clara Jørgensen & Hans Christian Kongsted & Anders Rahbek, 1996. "Trend-Stationarity in the I(2) Cointegration Model," Discussion Papers 96-12, University of Copenhagen. Department of Economics.
  3. Engsted, Tom & Haldrup, Niels, 1994. "The Linear Quadratic Adjustment Cost Model and the Demand for Labour," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(S), pages S145-59, Suppl. De.
  4. Dolado, J. & Galbraith, J.W. & Banerjee, A., 1991. "Estimating Intertemporal Quadratic Adjustment Cost Models with Integrated Series," Economics Series Working Papers 99111, University of Oxford, Department of Economics.
  5. Alan S. Blinder & Louis J. Maccini, 1991. "Taking Stock: A Critical Assessment of Recent Research on Inventories," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 73-96, Winter.
  6. Engsted, Tom & Haldrup, Niels, 1999. " Multicointegration in Stock-Flow Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(2), pages 237-54, May.
  7. Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
  8. Niels Haldrup, 1998. "An Econometric Analysis of I(2) Variables," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 595-650, December.
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Cited by:
  1. Hualde, Javier, 2014. "Estimation of long-run parameters in unbalanced cointegration," Journal of Econometrics, Elsevier, vol. 178(2), pages 761-778.
  2. Tsoukalas, John, 2009. "Input and Output Inventories in the UK," MPRA Paper 18695, University Library of Munich, Germany.

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