Bartlett-type Adjustments for Empirical Discrepancy Test Statistics
This paper derives two Bartlett-type adjustments that can be used to obtain higher-order improvements to the distribution of the class of empirical discrepancy test statistics recently introduced by Corcoran (1998) as a generalisation of Owen's (1988)empirical likelihood. The corrections are illustrated in the context of the so-called Cressie-Read goodness-of-fit statistic Baggerly, and their effectiveness in finite samples is evaluated using simulations.
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- Chandra, Tapas K. & Mukerjee, Rahul, 1991. "Bartlett-type modification for Rao's efficient score statistic," Journal of Multivariate Analysis, Elsevier, vol. 36(1), pages 103-112, January.
- Taniguchi, Masanobu, 1991. "Third-order asymptomic properties of a class of test statistics under a local alternative," Journal of Multivariate Analysis, Elsevier, vol. 37(2), pages 223-238, May.
- Chen, S. X., 1994. "Comparing Empirical Likelihood and Bootstrap Hypothesis Tests," Journal of Multivariate Analysis, Elsevier, vol. 51(2), pages 277-293, November.
- Bruce Brown & Song Chen, 1998. "Combined and Least Squares Empirical Likelihood," Annals of the Institute of Statistical Mathematics, Springer, vol. 50(4), pages 697-714, December.
- Francesco Bravo, 2003. "Second-order power comparisons for a class of nonparametric likelihood-based tests," Biometrika, Biometrika Trust, vol. 90(4), pages 881-890, December.
- Song Chen, 1993. "On the accuracy of empirical likelihood confidence regions for linear regression model," Annals of the Institute of Statistical Mathematics, Springer, vol. 45(4), pages 621-637, December.
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