Strong Convergence of Distributions of Estimators

P. Jeganathan

doi:10.1214/aos/1176350619

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Home > Journals > Ann. Statist. > Volume 15 > Issue 4 > Article

December, 1987 Strong Convergence of Distributions of Estimators

P. Jeganathan

Ann. Statist. 15(4): 1699-1708 (December, 1987). DOI: 10.1214/aos/1176350619

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Abstract

It is shown that the convergence in law of estimators entails convergence uniformly over all Borel sets whenever the estimators are asymptotically equivariant in a suitable sense and the likelihood ratios of the sample are appropriately smooth. This result generalizes a recent result of Boos in many directions.

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P. Jeganathan. "Strong Convergence of Distributions of Estimators." Ann. Statist. 15 (4) 1699 - 1708, December, 1987. https://doi.org/10.1214/aos/1176350619