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Combined and least squares empirical likelihood
journal contribution
posted on 2023-05-16, 11:19 authored by Brown, BM, Chen, SXIn conventional empirical likelihood, there is exactly one structural constraint for every parameter. In some circumstances, additional constraints are imposed to reflect additional and sought-after features of statistical analysis. Such an augmented scheme uses the implicit power of empirical likelihood to produce very natural adaptive statistical methods, free of arbitrary tuning parameter choices, and does have good asymptotic properties. The price to be paid for such good properties is in extra computational difficulty. To overcome the computational difficulty, we propose a 'least-squares' version of the empirical likelihood. The method is illustrated by application to the case of combined empirical likelihood for the mean and the median in one sample location inference.
History
Publication title
Annaly Institute of Statistical MathematicsVolume
50Issue
4Pagination
697-714ISSN
0020-3157Department/School
School of Natural SciencesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRepository Status
- Restricted