Effects of data dimension on empirical likelihood

Song Chen, Liang Peng and Ying-Li Qin

Biometrika, 2009, vol. 96, issue 3, 711-722

Abstract: We evaluate the effects of data dimension on the asymptotic normality of the empirical likelihood ratio for high-dimensional data under a general multivariate model. Data dimension and dependence among components of the multivariate random vector affect the empirical likelihood directly through the trace and the eigenvalues of the covariance matrix. The growth rates to infinity we obtain for the data dimension improve the rates of Hjort et al. (2008). Copyright 2009, Oxford University Press.

Date: 2009
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