Application of Non-Linear Cobb-Douglas Production Function with Autocorrelation Problem to Selected Manufacturing Industries in Bangladesh

DOI: 10.4236/ojs.2013.33019   PDF   HTML     6,897 Downloads   10,729 Views   Citations


In developing counties, efficiency of economic development has been determined by the analysis of industrial production. An examination of the characteristic of industrial sector is an essential aspect of growth studies. The growth of a country can be measured by Gross Domestic Product (GDP). GDP is substantially affected by the industrial output. Industrial gross output is mainly a function of capital and labor input. If the effect of labor and capital input to output is at a satisfactory level in an industry or in a group of industries, then industrial investment will increase. As a result, the number of industries will increase, which will directly affect GDP and also will decrease the unemployment rate. This is why, industrial input-output relationship is so important for any industry as well as for the overall industrial sector of a country. To forecast the production of a firm is necessary to identify the appropriate model. MD. M. Hossain et al. [1] have shown that Cobb-Douglas production function with additive errors was more suitable for some selected manufacturing industries in Bangladesh. The main purpose of this paper is to detect the autocorrelation problem of Cobb-Douglas production model with additive errors. The result shows that autocorrelation is presented in some manufacturing industries. Finally, this paper removes the autocorrelation problem and re-estimates the parameters of the Cobb- Douglas production function with additive errors.

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M. Hossain, T. Basak and A. Majumder, "Application of Non-Linear Cobb-Douglas Production Function with Autocorrelation Problem to Selected Manufacturing Industries in Bangladesh," Open Journal of Statistics, Vol. 3 No. 3, 2013, pp. 173-178. doi: 10.4236/ojs.2013.33019.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] M. Hossain, A. Majumder and T. Basak, “An Application of Non-Linear Cobb-Douglas Production Function to Selected Manufacturing Industries in Bangladesh,” Open Journal of Statistics, Vol. 2 No. 4, 2012, pp. 460-468. doi:10.4236/ojs.2012.24058
[2] I. Hoque, “An Application and Test of Random Coefficient Model in Bangladesh Agriculture,” Journal of Applied Econometrics, Vol. 6, No. 1, 1991, pp. 77-90. doi:10.1002/jae.3950060107
[3] M. I. Bhatti, “Efficient Estimation of Random Coefficient Models Based on Survey Data,” Journal of Quantitative Economics, Vol. 9, No. 1, 1993, pp. 99-110.
[4] B. H. Baltagi, “Econometrics Analysis of Panel Data,” John Wiley, New York, 1996.
[5] M. I. Bhatti and D. Owen, “An Econometrics Analysis of Agricultural Performance in Sichuan, China,” Asian Pro file, Vol. 26, No. 6, 1996, pp. 443-57.
[6] M. I. Bhatti, “A UMP Invariant Test for Testing Block Effects: An Example,” Far East Journal of Theoretical Statistics, Vol. 1, No. 1, 1997, pp. 39-50.
[7] M. I. Bhatti, I. H. Khan and C. Czerkawski, “Agricultural Productivity in Shanghai Region of China: An Econometric Analysis,” Journal of Economic Sciences, Vol. 1, No. 2, 1998, pp. 1-12.
[8] C. A. Ingene and R. F. Lusch, “Estimation of a Department Store Production Function,” International Journal of Physical, Distribution & Logistics Management, Vol. 29, No. 7-8, 1999, pp. 453-464. doi:10.1108/09600039910371138
[9] V. W. K. Mok, “Industrial Productivity in China: The Case of the Food Industry in Guangdong Province,” Journal of Economic Studies, Vol. 29, No. 6, 2002, pp. 423-431. doi:10.1108/01443580210448853
[10] M. Z. Hossain, M. I. Bhatti and M. Z. Ali, “An Econometric Analysis of Some Major Manufacturing Industries: A Case Study,” Managerial Auditing Journal, Vol. 19, No. 6, 2004, pp. 790-795. doi:10.1108/02686900410543895
[11] A. D. Hajkova and J. Hurnik, “Cobb-Douglas Production Function: The Case of a Converging Economy,” Czech Journal of Economics and Finance, Vol. 57, No. 1, 2007, pp. 9-10.
[12] Prajneshu, “Fitting of Cobb-Douglas Production Functions: Revisited,” Agricultural Economics Research Re view, Vol. 21, No. 2, 2008, pp. 289-292.
[13] J. Antony, “A Dual Elasticity of Substitution Production Function with an Application to Cross-Country Inequality,” Economics Letters, Vol. 102, No. 1, 2009, pp. 10-12. doi:10.1016/j.econlet.2008.09.007
[14] M. Z. Hossain and K. S. Al-Amri, “Use of Cobb-Douglas Production Model on Some Selected Manufacturing Industries in Oman,” Education, Business and Society: Contemporary Middle Eastern Issues, Vol. 3 No. 2, 2010, pp. 78-85. doi:10.1108/17537981011047925
[15] S. M. Goldfeld and R. E. Quandt, “The Estimation of Cobb-Douglas Type Functions with Multiplicative and Additive,” International Economic Review, Vol. 11, No. 2, 1970, pp. 251-257. doi:10.2307/2525667
[16] “Statistical Year Book,” 5th Edition, 7th Edition, 16th Edition, 18th Edition, 21st Edition, 22nd Edition, 24th Edition, Bangladesh Bureau of Statistics, Statistics Division, Ministry of Planning, Dhaka, 1984, 1986, 1995, 1997, 2000, 2001, 2003.
[17] “Reports on Bangladesh Census of Manufacturing Indus tries,” Bangladesh Bureau of Statistics, Planning Division, Ministry of Planning, Dhaka, 1984, 1987, 1992, 1997, 2000, 2002, 2004.
[18] C. W. Cobb and P. H. Douglas, “A Theory of Production,” American Economic Review, Vol. 18, No. 1, 1928, pp. 139-165.
[19] R. Christensen, “Advance Linear Modeling,” 2nd Edition, Springer, New York, 2001. doi:10.1007/978-1-4757-3847-6
[20] D. N. Gujarati, “Basic Econometrics,” 4th Edition, McGraw Hill, New York, 1995.

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