Josheski, Dushko and Lazarov, Darko and Koteski, Cane (2011): Cobb-Douglas production function revisited, VAR and VECM analysis and a note on Fischer/Cobb-Douglass paradox.
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Cobb-Douglas production function is a basic function in growth models. The modeling in this paper showed that VAR is stable; KPSS test showed that output, capital and labor are not trend stationary. Johansen’s co-integration test showed that a requirement for Fischer/Cobb-Douglass paradox to work is met at 3 lags, there factor shares are I(0). The Fisher/Cobb-Douglas Paradox is based on constant factor shares. (In terms of time-series analysis, such constancy is equivalent to factor shares being I(0). The Fisher/Cobb-Douglas Paradox is thus why the estimated σ equals unity independent of the underlying production technologies generating the simulated data.At 4 lags however these variables are I(1) variables i.e. Cobb-Douglass is not CES function anymore. ADF test for factors of production showed that natural logarithm of capital is stationary variable, while log of labor is not-stationary except at 10% level of significance. Adjustment parameters showed that labour responds more / faster than loutput (log of GDP) and lcapital on if there is change / shock in the system.VECM model failed the stability eingevalues test.
|Item Type:||MPRA Paper|
|Original Title:||Cobb-Douglas production function revisited, VAR and VECM analysis and a note on Fischer/Cobb-Douglass paradox|
|Keywords:||Fisher/Cobb-Douglas Paradox,cointegration, VAR,VECM,ADF test , unit root,|
|Subjects:||B - History of Economic Thought, Methodology, and Heterodox Approaches > B2 - History of Economic Thought since 1925 > B22 - Macroeconomics
O - Economic Development, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O40 - General
|Depositing User:||DJ Josheski|
|Date Deposited:||20. Sep 2011 19:37|
|Last Modified:||11. Feb 2013 18:48|
1. Mackinnon,J., Davidson,R., (2004), Econometric Theory and Methods,Oxford University Press.
2. Chirinkko,R., Mallick,D., (1998), THE FISHER/COBB-DOUGLAS PARADOX, FACTOR SHARES, AND COINTEGRATION, CESIFO WORKING PAPER NO. 1998.
4. Engle, Robert F., Granger, Clive W. J. (1987) "Co-integration and error correction: Representation,estimation and testing", Econometrica, 55(2), 251-276.
5. Gujarati, Damodar N.(2004), Basic Econometrics. New York: McGraw-Hill.
6. Tan, Hong, Bao(2008), Cobb-Douglas Production form, jamador.
7. Kaldor, Nicholas, "Capital Accumulation and Economic Growth," in Freidrich A. Lutz and Douglas C. Hague (eds.), The Theory of Capital (New York: St. Martin's Press, 1961),177-222.
8. Chiang C.Alpha (1984),Fundamental Methods of Mathematical Economics McGraw-Hill International editions Chapter 12 pp 426-427
9. Helmut Lütkepohl (2005), New Introduction to Multiple Time Series Analysis,Springer series
10. Harris, R., Sollis,R., (2003), Applied Time Series Modelling and Forecasting,