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

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  • Basmann, Robert L.

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.

Suggested Citation

  • Basmann, Robert L., 1985. "A Theory of Serial Correlation of Stochastic Taste Changers in Direct Utility Functions," Econometric Theory, Cambridge University Press, vol. 1(02), pages 192-210, August.
  • Handle: RePEc:cup:etheor:v:1:y:1985:i:02:p:192-210_01
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    Cited by:

    1. William A. Barnett & Isaac Kalonda Kanyama, 2013. "Time-varying parameters in the almost ideal demand system and the Rotterdam model: will the best specification please stand up?," Applied Economics, Taylor & Francis Journals, vol. 45(29), pages 4169-4183, October.
    2. William A. Barnett & Isaac Kalonda Kanyama, 2013. "Time-varying parameters in the almost ideal demand system and the Rotterdam model: will the best specification please stand up?," Applied Economics, Taylor & Francis Journals, vol. 45(29), pages 4169-4183, October.
    3. Das, Tirthatanmoy & Polachek, Solomon W., 2017. "Estimating labor force joiners and leavers using a heterogeneity augmented two-tier stochastic frontier," Journal of Econometrics, Elsevier, vol. 199(2), pages 156-172.
    4. Baltagi, Badi H. & Egger, Peter H. & Kesina, Michaela, 2017. "Determinants of firm-level domestic sales and exports with spillovers: Evidence from China," Journal of Econometrics, Elsevier, vol. 199(2), pages 184-201.

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