An Application of Non–Linear Cobb-Douglas Production Function to Selected Manufacturing Industries in Bangladesh

DOI: 10.4236/ojs.2012.24058   PDF   HTML     16,883 Downloads   38,977 Views   Citations


Recently, businessmen as well as industrialists are very much concerned about the theory of firm in order to make correct decisions regarding what items, how much and how to produce them. All these decisions are directly related with the cost considerations and market situations where the firm is to be operated. In this regard, this paper should be helpful in suggesting the most suitable functional form of production process for the major manufacturing industries in Bangladesh. This paper considers Cobb-Douglas (C-D) production function with additive error and multiplicative error term. The main purpose of this paper is to select the appropriate Cobb-Douglas production model for measuring the production process of some selected manufacturing industries in Bangladesh. We use different model selection criteria to compare the Cobb-Douglas production function with additive error term to Cobb-Douglas production function with multiplicative error term. Finally, we estimate the parameters of the production function by using optimization subroutine.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] C. W. Cobb and P. H. Douglas, “A Theory of Production,” American Economic Review, Vol. 18, No. 1, 1928, pp. 139-165.
[2] V. N. Murti and V. K. Sastry, “Production Functions for Indian Industry,” Econometrica, Vol. 25, No. 2, 1957, pp. 205-221. doi:10.2307/1910250
[3] D.-M. Wu, “Estimation of the Cobb-Douglas Production Function,” Econometrica, Vol. 43, No. 4, 1975, pp. 739- 744. doi:10.2307/1913082
[4] 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
[5] S. M. Goldfield and R. E. Quandt, “Nonlinear Methods of Econometrics,” North-Holland Publication Company, Amsterdam, New York, 1976.
[6] H. H. Kelejian, “The Estimation of Cobb-Douglas Type Functions with Multiplicative and Additive Errors: A Further Analysis,” International Economic Review, Vol. XIII, 1972, pp. 179-182. doi:10.2307/2525915
[7] M. Brown, “On the Theory and Measurement of Technological Change,” Cambridge University Press, Cambridge, 1966.
[8] B. Sandelin, “On the Origin of the Cobb-Douglas Production Function,” Economy and History, Vol. 19, No. 2, 1976, pp. 117-125. doi:10.1080/00708852.1976.10418933
[9] P. Samuelson, “Paul Douglas’s Measurement of Production Functions and Marginal Productivities,” Journal of Political Economy, Vol. 87, No. 5, 1979, pp. 923-939. doi:10.1086/260806
[10] A. A. Cheema, “Productivity Trends in the Manufacturing Industries,” The Pakistan Development Review, Vol. 17, No. 1, 1978, pp. 55-65.
[11] A. R. Kemal, “Substitution Elasticities in the Large Scale Manufacturing Industries in Pakistan,” The Pakistan Development Review, Vol. 20, No. 1, 1991, pp. 11-36.
[12] S. Wizarat, “Sources of Growth in Pakistan’s Large Scale Manufacturing Sector: 1955-56 to 1980-81,” Pakistan Economic and Social Review, Vol. 21, No. 2, 1989, pp. 139-159.
[13] M. Azhar and S. Khan, “Effects of Tax Holidays on Investment Decisions,” The Pakistan Development Review, Vol. 13, No. 4, 1974, pp. 245-248.
[14] E. Bond, “Tax Holidays and Industry Behavior,” The Review of Economics and Statistics, Vol. 63, No. 1, 1981, pp. 88-95. doi:10.2307/1924221
[15] G. M. Radhu, “The Relation of Indirect Tax Changes to Price Changes in Pakistan,” The Pakistan Development Review, Vol. 5, No. 1, 1965, pp. 54-63.
[16] V. K. Bhasin and V. K. Seth, “Estimation of Production Functions for Indian Manufacturing Industries,” Indian Journal of Industrial Relations, Vol. 15, No. 3, 1980, pp. 395-409.
[17] I. M. D. Little, D. Mazumdar and J. M. page Jr., “Small Manufacturing Enterprises: A Comparative Study of India and Other Economics,” Oxford University Press, Oxford, 1987.
[18] J. M. Page Jr., “Firm Size and Technical Efficiency: Application of Production Frontiers to Indian Survey Data,” Journal of Development Economics, Vol. 16, No. 1-2, 1984, pp. 129-152. doi:10.1016/0304-3878(84)90104-4
[19] T. Bhavani, “Technical Efficiency in Indian Modern Small Scale Sector: An Application of Frontier Production Function,” Indian Economic Review, Vol. 26, No. 2, 1991, pp. 149-166.
[20] B. Goldar, “Unit Size and Economic Efficiency in Small Scale Washing Soap Industry in India,” Artha Vijnana, Vol. 27, No. 1, 1985, pp. 21-40.
[21] C. Neogi and B. Ghosh, “Intertemporal Efficiency Variations in Indian Manufacturing Industries,” Journal of Productivity Analysis, Vol. 5, No. 3, 1994, pp. 301-324. doi:10.1007/BF01073913
[22] Y. Nikaido, “Technical Efficiency of Small-Scale Industry: Application of Stochastic Production Frontier Model,” Economic and Political Weekly, Vol. 39, No. 6, 2004, pp. 592-597.
[23] B. Goldar, “Relative Efficiency of Modern Small Scale Industries in India,” In: K. B. Suri, Ed., Small Scale Enterprises in Industrial Development, Sage Publication, New Delhi, 1988.
[24] B. Carlsson, “The Content of Productivity Growth in Swedish Manufacturing,” Research Policy, Vol. 10, No. 4, 1981, pp. 336-355. doi:10.1016/0048-7333(81)90018-4
[25] M. Daly, I. Gorman, G. Lenjosek, A. MacNevin and W. Phiriyapreunt, “The Impact of Regional Investment Incentives on Employment and Productivity: Some Canadian Evidence,” Regional Science and Urban Economics, Vol. 23, No. 4, 1993, pp. 559-575. doi:10.1016/0166-0462(93)90047-I
[26] B. Contini, R. Revelli and S. Cuneo, “Productivity and Imperfect Competition: Econometric Estimation from PanelData of Italian Firms,” Journal of Economic Behavior & Organization, Vol. 18, No. 2, 1992, pp. 229-248. doi:10.1016/0167-2681(92)90029-B
[27] J. K. Mullen and M. Williams, “Explaining Total Factor Productivity Differentials in Urban Manufacturing,” Journal of Urban Economics, Vol. 28, No. 1, 1990, pp. 103- 123. doi:10.1016/0094-1190(90)90045-O
[28] W. L. Weber and B. R. Domazlicky, “Total Factor Productivity Growth in Manufacturing: A Regional Approach Using Linear Programming,” Regional Science and Urban Economics, Vol. 29, No. 1, 1999, pp. 105-122. doi:10.1016/S0166-0462(98)00013-1
[29] J. Nemoto and M. Goto, “Productivity, Efficiency, Scale Economies and Technical Change: A New Decomposition Analysis of TFP Applied to the Japanese Prefectures,” Journal of the Japanese and International Economies, Vol. 19, No. 4, 2005, pp. 617-634. doi:10.1016/j.jjie.2005.10.006
[30] N. Maniadakis and E. Thanassoulis, “A Cost Malmquist Productivity Index,” European Journal of Operational Research, Vol. 154, No. 2, 2004, pp. 396-409. doi:10.1016/S0377-2217(03)00177-2
[31] A. Radam, “Efficiency and Productivity of the Malaysian Food Manufacturing Industry, 1983-2000,” Universiti Putra Malaysia, 2007.
[32] B. Goldar, V. S. Renganathan and R. Banga, “Ownership and Efficiency in Engineering Firms: 1990-91 to 1999- 2000,” Economic and Political Weekly, Vol. 39, No. 5, 2004, pp. 441-447.
[33] S. V. Lall and G. C. Rodrigo, “Perspective on the Sources of Heterogeneity in Indian Industry,” World Development, Vol. 29, No. 12, 2001, pp. 2127-2143. doi:10.1016/S0305-750X(01)00084-5
[34] K. Mukherjee and S. C. Ray, “Technical Efficiency and Its Dynamics in Indian Manufacturing: An Inter-State Analysis,” Working Paper, No. 18, University of Connecticut, Storrs, 2004.
[35] Md. Z. Hossain, M. I. Bhatti and Md. Z. Ali, “An Econometric Analysis of Some Major Manufacturing Industries: A Case Study,” Managerial Auditing Journal, Vol. 19, No. 6, 2004, pp. 790-795.
[36] C.-P. Lin, “The Application of Cobb-Douglas Production Cost Functions to Construction Firms in Japan and Taiwan,” Review of Pacific Basin Financial Markets and Policies (RPBFMP), Vol. 5, No. 1, 2002, pp. 111-128. doi:10.1142/S0219091502000663
[37] M. Jung, K. Lee and K. Fukao, “Total Factor Productivity of Korean Firms and Catching up with the Japanese Firms,” Seoul Journal of Economics, Vol. 20, No. 1, 2008, pp. 93-139.
[38] D. A. Hashim, “Cost and Productivity in Indian TextilesIndian Council for Research on International Economic Relations. Multan District,” Journal of Quality and Technology Management, Vol. 5, No. 2, 2009, pp. 91-100.
[39] Md. 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.
[40] R. Ramanathan, “Introductory Econometrics with Applications,” 3rd Edition, Harcourt College Publishers, New York, 1995.
[41] “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.
[42] “Reports on Bangladesh Census of Manufacturing Industries,” Bangladesh Bureau of Statistics, Planning Division, Ministry of Planning, Dhaka, 1984, 1987, 1992, 1997, 2000, 2002, 2004.

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