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On Bartlett correctability of empirical likelihood in generalized power divergence family

Listed author(s):
  • Camponovo, Lorenzo
  • Otsu, Taisuke

Baggerly (1998) showed that empirical likelihood is the only member in the Cressie–Read power divergence family to be Bartlett correctable. This paper strengthens Baggerly’s result by showing that in a generalized class of the power divergence family, which includes the Cressie–Read family and other nonparametric likelihood such as Schennach’s (2005, 2007) exponentially tilted empirical likelihood, empirical likelihood is still the only member to be Bartlett correctable.

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File URL: http://www.sciencedirect.com/science/article/pii/S0167715213004070
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Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 86 (2014)
Issue (Month): C ()
Pages: 38-43

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Handle: RePEc:eee:stapro:v:86:y:2014:i:c:p:38-43
DOI: 10.1016/j.spl.2013.12.008
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  1. Chen, S. X., 1994. "Empirical Likelihood Confidence Intervals for Linear Regression Coefficients," Journal of Multivariate Analysis, Elsevier, vol. 49(1), pages 24-40, April.
  2. Ma, Yanyuan & Ronchetti, Elvezio, 2011. "Saddlepoint Test in Measurement Error Models," Journal of the American Statistical Association, American Statistical Association, vol. 106(493), pages 147-156.
  3. Susanne M. Schennach, 2005. "Bayesian exponentially tilted empirical likelihood," Biometrika, Biometrika Trust, vol. 92(1), pages 31-46, March.
  4. Susanne M. Schennach, 2007. "Point estimation with exponentially tilted empirical likelihood," Papers 0708.1874, arXiv.org.
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