
doi: 10.5705/ss.2013.246
handle: 10356/88029 , 10220/46882
Summary: The empirical likelihood is a versatile nonparametric approach to testing hypotheses and constructing confidence regions. However it is not clear if Wilks' theorem still works in high dimensions. In this paper, by adding two pseudo-observations to the original data set, we prove the asymptotic normality of the log empirical likelihood-ratio statistic when the sample size and the data dimension are comparable. In practice, we suggest using the normalized \(F(p,n-p)\) distribution to approximate its distribution. Simulation results show excellent performance of this approximation.
Empirical Likelihood, 330, Asymptotic properties of nonparametric inference, :Science::Mathematics [DRNTU], large dimensional data, Large Dimensional Data, empirical likelihood, DRNTU::Science::Mathematics, Nonparametric hypothesis testing
Empirical Likelihood, 330, Asymptotic properties of nonparametric inference, :Science::Mathematics [DRNTU], large dimensional data, Large Dimensional Data, empirical likelihood, DRNTU::Science::Mathematics, Nonparametric hypothesis testing
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