1. Two-sample high-dimensional empirical likelihood.
- Author
-
Fang, Jianglin, Liu, Wanrong, and Lu, Xuewen
- Subjects
- *
LIKELIHOOD ratio tests , *LINEAR statistical models , *DISTRIBUTION (Probability theory) , *ASYMPTOTIC normality , *COMPUTER simulation - Abstract
In this paper, we apply empirical likelihood for two-sample problems with growing high dimensionality. Our results are demonstrated for constructing confidence regions for the difference of the means of twop-dimensional samples and the difference in value between coefficients of twop-dimensional sample linear model. We show that empirical likelihood based estimator has the efficient property. That is, asp→ ∞ for high-dimensional data, the limit distribution of the EL ratio statistic for the difference of the means of two samples and the difference in value between coefficients of two-sample linear model is asymptotic normal distribution. Furthermore, empirical likelihood (EL) gives efficient estimator for regression coefficients in linear models, and can be as efficient as a parametric approach. The performance of the proposed method is illustrated via numerical simulations. [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF