Tsionas, Efthymios G. and Michaelides, Panayotis G. and Vouldis, Angelos (2008): Neural Networks for Approximating the Cost and Production Functions.
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Abstract
Most business decisions depend on accurate approximations to the cost and production functions. Traditionally, the estimation of cost and production functions in economics relies on standard specifications which are less than satisfactory in numerous situations. However, instead of fitting the data with a pre-specified model, Artificial Neural Networks let the data itself serve as evidence to support the model’s estimation of the underlying process. In this context, the proposed approach combines the strengths of economics, statistics and machine learning research and the paper proposes a global approximation to arbitrary cost and production functions, respectively, given by ANNs. Suggestions on implementation are proposed and empirical application relies on standard techniques. All relevant measures such as scale economies and total factor productivity may be computed routinely.
Item Type: | MPRA Paper |
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Original Title: | Neural Networks for Approximating the Cost and Production Functions |
Language: | English |
Keywords: | Neural networks, Econometrics, Production and Cost Functions, RTS, TFP. |
Subjects: | C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C45 - Neural Networks and Related Topics C - Mathematical and Quantitative Methods > C5 - Econometric Modeling D - Microeconomics > D2 - Production and Organizations D - Microeconomics > D2 - Production and Organizations > D24 - Production ; Cost ; Capital ; Capital, Total Factor, and Multifactor Productivity ; Capacity |
Item ID: | 74448 |
Depositing User: | Prof. Dr. Panayotis G. Michaelides |
Date Deposited: | 12 Oct 2016 07:30 |
Last Modified: | 02 Oct 2019 04:47 |
References: | [1] Anders, U., Korn, O. and Schmitt, C. “Improving the pricing of options: A neural network approach,” J. Forecasting, vol. 17, pp. 369–388, 1998. [2] Hanke, M., “Neural networks versus Black-Scholes: An empirical comparison of the pricing accuracy of two fundamentally different option pricing methods,” J. Comput. Intell. Finance, vol. 5, pp. 26–34, 1999. [3] Hutchinson, J. M., Lo, A.W. and Poggio, T. “A nonparametric approach to pricing and hedging derivative securities via learning networks,” J. Finance, vol. 49, pp. 851–889, 1994. [4] Campbell, J. Y., Lo, A. W. and MacKinley, A. C.,The Econometrics of Financial Markets. Princeton, NJ: Princeton Univ. Press, 1997. [5] Tsitsiklis, J.N. and Roy, B.V., “Regression Methods for Pricing Complex American-Style Options”, IEEE Trans. Neural Networks, Vol. 12, No. 4, pp. 694-703, 2001. [6] Magdon-Ismail, M. “The Equivalent Martingale Measure: An Introduction to Pricing Using Expectations, IEEE Trans. Neural Networks, Vol. 12, No. 4, pp. 684-693, 2001. [7] B. LeBaron and Weigend, A.S., “A Bootstrap Evaluation of the Effect of Data Splitting on Financial Time Series”, Letters IEEE Trans. Neural Networks, Vol. 9, No. 1, pp. 213-220, 1998. [8] H. White, and Racine, J., “Statistical Inference, The Bootstrap, and Neural-Network Modeling with Application to Foreign Exchange Rates”, Vol. 12, No. 4, pp. 657-673, 2001. [9] Christensen, L.R., D.W. Jorgenson and Lau, L.J., “Conjugate duality and the transcendental production function”, Econometrica, 39, pp. 206-218, 1971. [10] Diewert, E., “An application of the Shephard duality theorem: A generalized Leontief production function”, J.Political Economy, 79, pp. 481-507, 1971. [11] Diewert, E., and Wales, J.T., “Flexible functional forms and global curvature conditions”, Econometrica, 55, pp. 43-68, 1987. [12] Gallant, A.R., On the bias in flexible functional forms and an essentially unbiased form: The Fourier flexible form, J.Econometrics, 15, pp. 211-246, 1981. [13] Gallant, A.R., “Unbiased determination of production technologies”, J.Econometrics, 20, pp. 285-323, 1982. [14] Stinchcombe, M., and White, H., “Using feedforward neural networks to distinguish multivariate populations”, Proceedings of the International Joint Conference on Neural Networks, 1994. [15] Kuan, C.M., and White, H., “Artificial neural networks: An econometric perspective”, Econometric Reviews, 13, pp. 1-91, 1994. [16] Chan, N. H and Genovese, R. C., “A Comparison of Linear and Nonlinear Statistical Techniques in Performance Attribution”, IEEE Trans. Neural Networks, Vol. 12, No. 4, July, pp. 922-928, 2001. [17] Hornik, K., M. Stinchcombe, and White, H., “Multilayer feedforward networks are universal approximators”, Neural Networks, 2, pp. 359-366, 1989. [18] Hornik, K., M. Stinchcombe, and White, H., “Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks”, Neural Networks, 3, pp. 551-560, 1990. [19] Haykin, S., Neural Networks, New Jersey: Prentice-Hall, 1999. [20] Shephard, R., Cost and Production Functions, Princeton, NJ: Princeton University Press, 1953. [21] Varian, H., Microeconomic Analysis, New York: W.W. Norton,1992. [22] Hornstein, A. and Krusell, P., “Can Technology Improvements Cause Productivity Slowdowns?”, NBER Macroeconomics Annual 11, MIT Press: Cambridge MA, pp. 209-259, 1996. [23] Greene, W., Econometric Analysis, New Jersey: Prentice Hall, 2003. [24] Schwartz, G., “Estimating the dimension of a model”, Annals of Statistics 6 (2), pp. 461-464, 1978. [25] Akaike, H., “A new look at the statistical model identification”, IEEE Trans. Automatic Control, Vol. 19, No. 6, pp. 716–723, 1974. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/74448 |