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6. Bentley, R.W. (2002). Global Oil & Gas Depletion: An Overview, Energy Policy, 30,189‐205
7. Engle, R.F. & Granger, C.W.J. (1987). Co integrated and Error Correction, Representation Estimation and Testing, Econometrica, 55, 251-276.
8. Geweke, J. (1984). Inference and Causality in Economic Time Series Models, Handbook of Econometrics, 2.
9. Granger, C.W.J. (1986). Development in the Study of Co integrated Economic Variables, Oxford Bulletin of Economics and Statistics, 48, 213-228.
10. Granger, C.W.J. (1988). Some Recent Development in a Concept of Causality, Journal of Econometrics, 39, 199-211.
11. Prabhas, C. Sinha (2009). Handbook of Alternative Energy, SBS Publishers & Distributors Pvt, Ltd, New Delhi.
12. Toda, H.Y. & Yamamoto, T. (1995). Statistical Inference in Vector Auto regressions with possibly Integrated Processes, Journal of Econometrics, 66, 225-250.
13. Wolde Rufael, Y. (2005). Energy Demand and Economic Growth: The African Experience, Journal of Policy Modeling, 27, 891-903.
14. Yoo, S.H. (2005). Electricity Consumption and Economic Growth:
Evidence from Korea, Energy Policy, 33, 1627-1632.
15. Zapata, H.O. & Rambaldi, A.N. (1997). Monte-Carlo Evidence on Co integration and Causation, Oxford Bulletin of Economics and Statistics, 59, 285-298.
16. US energy information administration (http://eia.doe.gov) 17. International Energy Agency (www.iea.org)
18. http://www.opec.org.