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A Theory of Serial Correlation of Stochastic Taste Changers in Direct Utility Functions

Published online by Cambridge University Press:  18 October 2010

Robert L. Basmann
Robert L. Basmann
Affiliation:
Texas A&M University and Advanced Econometrics, Inc.
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Abstract

Methods of maximum-likelihood search (eg., Hildreth-Lu) for single equations models with autocorrelated disturbances are not easily extended to the multi-equation systems encountered in econometric studies of consumer demand. The obstacle is the large dimension of the space of independent serial correlation coefficients to be partitioned and searched. This paper treats stochastic disturbance vectors in demand/expenditure systems as functions of random disturbances in consumer utility functions. It specifies marginal utilities to be products of a systematic function and a nonnegative random disturbance. Under this specification, three hypotheses that readily come to mind in the context of consumer theory drastically reduce the number of independent elements of serial covariance matrices. This in turn makes practicable the extension of maximum-likelihood search methods in the estimation of parameters of large demand systems.

Type
Articles
Information
Econometric Theory , Volume 1 , Issue 2 , August 1985 , pp. 192 - 210
Copyright
Copyright © Cambridge University Press 1985

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References

REFERENCES

1.Barnett, W. A.Consumer Demand and Labor Supply. Amsterdam: North-Holland, 1981.Google Scholar
2.Barnett, W. A.New indices of money supply and the flexible Laurent demand system. Journal of Business and Economic Statistics 1 (1983): 7–23.Google Scholar
3.Basmann, R. L.A Note on an invariant property of shifts in demand. Metroeconomica 6 (1954): 69–71.CrossRefGoogle Scholar
4.Basmann, R. L.A note on Mr. Ichimura's definition of related goods. Review of Economic Studies 22 (1954): 67–69.CrossRefGoogle Scholar
5.Basmann, R. L.A theory of demand with variable consumer preferences. Econometrica 24 (1956): 47–58.CrossRefGoogle Scholar
6.Basmann, R. L., Molina, D. J., and Slottje, D. J.. Budget constraint prices as preference changing parameters of generalized Fechner-Thurstone direct utility functions. American Economic Review 73 (1983): 411–413.Google Scholar
7.Basmann, P.. L., Molina, D. J., Rodarte, M., and Slottje, D. J.. Some new methods of predicting changes in economic inequality associated with trends in growth and development. In Nobe, K. C. and Sampath, R. K., (eds.), Issues in Third World Development. Boulder, CO: West-view Press, 1983.Google Scholar
8.Basmann, R. L., Molina, D. J., and Slottje, D. J.. A note on aggregation of Fechner-Thurstone direct utility functions. Economic Letters 14 (1984): 117–122.CrossRefGoogle Scholar
9.Basmann, R. L., Molina, D. J., and Slottje, D. J.. Variable consumer preferences, economic inequality, and the cost-of-living: Part one. In Basmann, R. L. and Rhodes, G. F., , Jr. (eds.), Advances in Econometrics, Vol. III. New York: JAI Press, 1984.Google Scholar
10.Basmann, R. L., Diamond, C. A., Frentrup, J. C, and White, S. N.. Variable consumer preferences, economic inequality, and the cost-of-living: Part two.In Basmann, R. L. and Rhodes, G. F. Jr., (eds.), Advances in Econometrics, Vol. IV. New York: JAI Press, 1984.Google Scholar
11.Bovas, A. and Ledholter, . Statistical Methods for Forecasting. New York: Wiley, 1983.Google Scholar
12.Box, G.E.P. and Jenkins, G. M.. Time Series Analysis Forecasting and Control. San Francisco: Holden-Day, 1970.Google Scholar
13.Caves, D. W. and Christensen, L. R.. Global properties of flexible functional forms. American Economic Review 70 (1980): 422–432.Google Scholar
14.Christensen, L. R., Jorgenson, D. W., and Lau, L. J.. Transcendental logarithmic utility functions. American Economic Review 65 (1975): 367–383.Google Scholar
15.Fama, E. F.Foundations of Finance. New York: Basic Books, 1976.Google Scholar
16.Fisher, F. M. and Shell, K.. Taste and quality change in the pure theory of th e true cost-of-living index. In Wolfe, J. N. (ed.), Value, Capital, and Growth: Papers in Honour of Sir John Hicks. Edinburgh: University of Edinburgh Press, 1968.Google Scholar
17.Fisher, I.The Making of Index Numbers, 3rd ed. Boston: Houghton Mifflin, 1927.Google Scholar
18.Gallant, R. A.On the bias in flexible function forms and an essentially unbiased form: The Fourier functional form. Journal of Econometrics 15 (1981): 211–245.CrossRefGoogle Scholar
19.Granger, C.W.J.Forecasting in Business and Economics. New York: Academic, 1980.Google Scholar
20.Hall, R. E.Stochastic implications of the life cycle-permanent income hypothesis: Theory and evidence. Journal of Political Economy 86 (1978): 971–987.CrossRefGoogle Scholar
21.Ichimura, S.A critical note on the definition of related goods. Review of Economic Studies 18 (1951): 179–183.CrossRefGoogle Scholar
22.Konyus, A. A. The problem of the true index of the cost-of-living. Economic Bulletin of the Institute of Economic Conjuncture, Moscow, Nos. 9–10 (1924) [reprinted in Econometrica 31 (1936): 110–129].Google Scholar
23.Makradakis, S. and Wheelwright, S. C.. Interactive Forecasting–Univariate and Multivariate Methods. San Francisco: Holden-Day, 1978.Google Scholar
24.Muth, J. F. Estimation of economic relationships containing latent expectation variables. In Vol. 1. Lucas, R. E. Jr., and Sargent, T. J. (eds.), Rational Expectations and Econometric Practice. Minneapolis: University of Minnesota Press, 1981.Google Scholar
25.Nerlove, M., Grether, D. M., and Carvalho, J. L., Analysis of Economic Time Series. New York: Academic, 1979.Google Scholar
26.Parzen, E.Stochastic Processes. San Francisco: Holden-Day, 1962.Google Scholar
27.Samuelson, P. A. and Swamy, S.. Invariant economic index numbers and canonical duality: Survey and synthesis. American Economic Review 64 (1974): 566–593.Google Scholar
28.Tintner, G.Complementarity and shifts in demand. Metroeconomica 4 (1952): 1–4.CrossRefGoogle Scholar
29.Wallis, K. F.Econometric implications of the rational expectations hypothesis. Econometrica 48 (1980): 49–74.CrossRefGoogle Scholar
30.Zellner, A.An efficient method of estimating seemingly unrelated regressions and tests of aggregation bias. Journal of the American Statistical Association 57 (1962): 348–368.CrossRefGoogle Scholar