On Measurement of Efficiency of Cobb-Douglas Production Function with Additive and Multiplicative Errors

  • Md. Moyazzem Hossain Department of Statistics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh
  • Ajit Kumar Majumder Jahangirnagar University, Savar, Dhaka-1342, Bangladesh

Abstract

In developing counties, efficiency of economic development has determined by the analysis of industrial production. An examination of the characteristic of industrial sector is an essential aspect of growth studies. The most of the developed countries are highly industrialized as they brief “The more industrialization, the more development”. For proper industrialization and industrial development we have to study industrial input-output relationship that leads to production analysis. For a number of reasons econometrician’s belief that industrial production is the most important component of economic development because, if domestic industrial production increases, GDP will increase, if elasticity of labor is higher, implement rates will increase and investment will increase if elasticity of capital is higher. In this regard, this paper should be helpful in suggesting the most suitable Cobb-Douglas production function to forecast the production process for some selected manufacturing industries of developing countries like Bangladesh. This paper choose the appropriate Cobb-Douglas function which gives optimal combination of inputs, that is, the combination that enables it to produce the desired level of output with minimum cost and hence with maximum profitability for some selected manufacturing industries of Bangladesh over the period 1978-79 to 2011-2012. The estimated results shows that the estimates of both capital and labor elasticity of Cobb-Douglas production function with additive errors are more efficient than those estimates of Cobb-Douglas production function with multiplicative errors.

Author Biographies

Md. Moyazzem Hossain, Department of Statistics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh
Assistant Professor, Department of Statistics.
Ajit Kumar Majumder, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh
Professor, Department of Statistics.

References

Antony, J. (2009). A dual elasticity of substitution production function with an application to cross-country inequality. Economics Letters, 102, 10-12.

Baltagi, B. H. (1996). Econometrics Analysis of Panel Data, John Wiley, New York, NY.

Bangladesh Bureau of Statistics (1981). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (1984). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (1986). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (1995). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (1997). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (2000). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (2001). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (2003). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (2005). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (2008). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (2010). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (2012). Statistical Yearbook of Bangladesh, Ministry of Planning, Government of Bangladesh, Dhaka.

Bangladesh Bureau of Statistics (1984). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (1987). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (1992). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (1997). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (2000). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (2002). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (2004). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (2007). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (2009). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (2011). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bangladesh Bureau of Statistics (2012). Reports on Bangladesh Census of Manufacturing Industries, Planning division, Ministry of Planning, Dhaka, Bangladesh.

Bhatti, M. I. (1993). Efficient estimation of random coefficient models based on survey data. Journal of Quantitative Economics, 9(1), 99-110.

Bhatti, M. I. (1997). A UMP invariant test for testing block effects: an example. Far East Journal of Theoretical Statistics, 1(1), 39-50.

Bhatti, M. I. and Owen, D. (1996). An econometrics analysis of agricultural performance in Sichuan, China. Asian Profile, 26(6), 443-57.

Bhatti, M.I., Khan, I.H. and Czerkawski, C. (1998). Agricultural productivity in Shanghai region of China: an econometric analysis. Journal of Economic Sciences, 1(2), 1-12.

Christensen R. (2001). Advance Linear Modelling, 2nd ed., Springer, New York.

Cobb, C. W., and Douglas, P. H. (1928). A Theory of Production. American Economic Review, 8(1), 139-165.

Craven, P., Wahba, G. (1978). Smoothing noisy data with spline functions. Numer. Math., 31(4), 377-390.

Goldfield S. M. and Quandt R. E. (1973). Nonlinear Methods of Econometrics, North-Holland publication Company, Amsterdam, New York.

Hajkova,A. D. and Hurnik, J. (2007). Cobb-Douglas production function: the case of a converging economy. Czech Journal of Economics and Finance, 57, 9-10.

Harbury, C. (1968). Workbook in Introductory Economics, Pergamon Press, New York, NY.

Hoque, I. (1991). An application and test of random coefficient model in Bangladesh agriculture. Journal of Applied Econometrics, 6, 77-90.

Ingene, C. A. and Lusch, R. F. (1999). Estimation of a department store production function. International Journal of Physical, Distribution & Logistics Management, 29, 453-64.

Intriligator, M. D. (1980). Econometric Models, Techniques and Applications, Prentice-Hall, New York, NY.

Judge, G. G., Griffiths, W. E., Hill, R, C., Lutkephol, H., and Lee, T. C. (1985). The Theory and Practice of Econometrics, 2nd ed., John Wiley and Sons, New York.

Kelejian, H. H. (1972). The Estimation of Cobb-Douglas Type Functions with Multiplicative and Additive Errors: A Further Analysis. International Economic Review, 13, 179-182.

Khan, I.H., Bhatti, M.I. and Czerkawski, C. (1998). Indicator analysis approach to medium-term employment: Australian case study. Journal of Economic Studies, 2(9), 9-32.

Md. Zakir Hossain, M. Ishaq Bhatti, Md Zulficar Ali, (2004). An econometric analysis of some major manufacturing industries: A case study. Managerial Auditing Journal, 19(6), 790 – 795. doi: 10.1108/02686900410543895

Md. Zakir Hossain, Khalid Said Al-Amri (2010). Use of Cobb-Douglas production model on some selected manufacturing industries in Oman. Education, Business and Society: Contemporary Middle Eastern Issues, 3(2), 78–85. doi: 10.1108/17537981011047925

Mok, V. W. K. (2002). Industrial productivity in China: the case of the food industry in Guangdong province. Journal of Economic Studies, 29, 423-31.

Prajneshu (2008). Fitting of Cobb-Douglas production functions: revisited. Agricultural Economics Research Review, 21, 289-292.

Singh, S. P., Parashar, A. K. and Singh, H. P. (1999). Econometrics and Mathematical Economics, S. Chand & Company, New Delhi.

Stephen M. Goldfeld and Richard E. Quandt (1970). The Estimation of Cobb-Douglas Type Functions with Multiplicative and Additive. International Economic Review, 11(2), 251-257.

Published
2015-02-21
How to Cite
Hossain, M. M., & Majumder, A. K. (2015). On Measurement of Efficiency of Cobb-Douglas Production Function with Additive and Multiplicative Errors. Statistics, Optimization & Information Computing, 3(1), 96-104. https://doi.org/10.19139/soic.v3i1.120
Section
Scientific Report