QIN Yongsong, ZHANG Ping. Empirical Likelihood Estimators of the Error Variances in Linear Models[J]. Chinese Journal of Applied Probability and Statistics, 2021, 37(3): 259-273. DOI: 10.3969/j.issn.1001-4268.2021.03.003
Citation: QIN Yongsong, ZHANG Ping. Empirical Likelihood Estimators of the Error Variances in Linear Models[J]. Chinese Journal of Applied Probability and Statistics, 2021, 37(3): 259-273. DOI: 10.3969/j.issn.1001-4268.2021.03.003

Empirical Likelihood Estimators of the Error Variances in Linear Models

  • We apply the empirical likelihood technique to propose a new class of estimators of the error variance in linear models. It is shown that the proposed estimators are asymptotically normally distributed with asymptotic variances not greater than that of the usual estimators of the error variance. And the closed forms of the asymptotic variances of the estimators are presented.
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