On the accuracy of empirical likelihood confidence regions for linear regression model |
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Authors: | Song Xi Chen |
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Affiliation: | (1) Centre for Mathematics and Its Applications, Australian National University, GPO Box 4, ACT 2601 Canberra, Australia;(2) Present address: Division of Fisheries and Biometrics Unit, CSIRO Australia, GPO Box 1538, 7001 Hobart, Tasmania, Australia |
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Abstract: | The coverage errors of the empirical likelihood confidence regions for in a linear regression model,Yi=xi+i, 1in, are of ordern–1. Bartlett corrections may be employed to reduce the order of magnitude of the coverage errors ton–2. For practical implementation of Bartlett correction, an empirical Bartlett correction is given. |
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Keywords: | Bartlett correction confidence regions coverage empirical likelihood linear regression model |
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