A comparison between empirical likelihood and bootstrap tests for a mean parameter against a series of local alternative hypotheses is made by developing Edgeworth expansions for the power functions of the two tests. For univariate and bivariate cases, practical rules are proposed for choosing the m
Computing empirical likelihood from the bootstrap
β Scribed by Yudi Pawitan
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 168 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
The close relationship between the bootstrap and empirical likelihood has been noted in the literature. The purpose of this paper is to show how to construct a bootstrap likelihood from a single bootstrap, without any nested bootstrapping nor any smoothing. For a wide class of M-estimators the likelihood agrees with the empirical likelihood up to order O(n -1=2 ). The resulting likelihood may be used for display purpose, for computing likelihood-based conΓΏdence intervals or for future use in combining information.
π SIMILAR VOLUMES
We obtain a lower bound for the rate of approximation of bootstrapped empirical processes with Brownian bridges.