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Degeneracy in Heteroscedastic Regression Models

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  • Li, Kim-Hung
  • Chan, Nai Ng

Abstract

The maximum likelihood estimation in a regression model with heteroscedastic errors is considered. When the design matrices in the model are inappropriately specified, the maximum likelihood estimates of the variances of certain observations are found to be zero irrespective of the observed values, resulting in degeneracy. Necessary and sufficient conditions for degeneracy are given and used for its avoidance.

Suggested Citation

  • Li, Kim-Hung & Chan, Nai Ng, 2000. "Degeneracy in Heteroscedastic Regression Models," Journal of Multivariate Analysis, Elsevier, vol. 74(2), pages 282-295, August.
    • Handle: RePEc:eee:jmvana:v:74:y:2000:i:2:p:282-295
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    References listed on IDEAS

    as
    1. Harvey, A C, 1976. "Estimating Regression Models with Multiplicative Heteroscedasticity," Econometrica, Econometric Society, vol. 44(3), pages 461-465, May.
    2. Murray Aitkin, 1987. "Modelling Variance Heterogeneity in Normal Regression Using GLIM," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 332-339, November.
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