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Demand Systems with Heteroscedastic Disturbances

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  • Apostolos Serletis

    (University of Calgary)

  • Libo Xu

Abstract

We address the estimation of singular demand systems with heteroscedastic disturbances. We relax the homoscedasticity assumption and instead assume that the covariance matrix of the errors of the demand system is time-varying. In doing so, we consider the VECH and BEKK parameterizations of the variance model. We analytically prove the invariance of the maximum likelihood estimator with respect to the choice of the good deleted from a singular demand system, and also prove a number of important practical results regarding how to recover the mean and variance equation parameters (and their standard errors) of the full demand system from those of any subsystem obtained by deleting an arbitrary good.

Suggested Citation

  • Apostolos Serletis & Libo Xu, "undated". "Demand Systems with Heteroscedastic Disturbances," Working Papers 2018-11, Department of Economics, University of Calgary, revised 25 Sep 2018.
    • Handle: RePEc:clg:wpaper:2018-11
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    Cited by:

    1. Apostolos Serletis & Libo Xu, 2020. "Conditional Correlation Demand Systems," Computational Economics, Springer;Society for Computational Economics, vol. 56(1), pages 77-86, June.
    2. Serletis, Apostolos & Xu, Libo, 2022. "Interfuel substitution: A copula approach," Journal of Commodity Markets, Elsevier, vol. 28(C).
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    4. Hossain, A. K. M. Nurul & Serletis, Apostolos, 2020. "Biofuel substitution in the U.S. transportation sector," The Journal of Economic Asymmetries, Elsevier, vol. 22(C).
    5. Serletis, Apostolos & Xu, Libo, 2019. "The demand for banking and shadow banking services," The North American Journal of Economics and Finance, Elsevier, vol. 47(C), pages 132-146.

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    More about this item

    Keywords

    Flexible functional forms; Demand systems; Volatility;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy

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