Confidence region;
Empirical likelihood;
General estimating equations;
Jackknife;
Weak dependence;
D O I:
10.1016/j.jmva.2011.06.009
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
Empirical likelihood for general estimating equations is a method for testing hypothesis or constructing confidence regions on parameters of interest. If the number of parameters of interest is smaller than that of estimating equations, a profile empirical likelihood has to be employed. In case of dependent data, a profile blockwise empirical likelihood method can be used. However, if too many nuisance parameters are involved, a computational difficulty in optimizing the profile empirical likelihood arises. Recently, Li et al. (2011) [9] proposed a jackknife empirical likelihood method to reduce the computation in the profile empirical likelihood methods for independent data. In this paper, we propose a jackknife-blockwise empirical likelihood method to overcome the computational burden in the profile blockwise empirical likelihood method for weakly dependent data. (C) 2011 Elsevier Inc. All rights reserved.
机构:
Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R ChinaHong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
Jing, Bing-Yi
Yuan, Junqing
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机构:Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
Yuan, Junqing
Zhou, Wang
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机构:
Natl Univ Singapore, Dept Stat & Appl Probabil, Singapore 117546, SingaporeHong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
机构:
School of Mathematics and Statistics, Shaanxi Normal University, Xi’an,710119, ChinaSchool of Mathematics and Statistics, Shaanxi Normal University, Xi’an,710119, China
Shang, Mengdong
Chen, Xia
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机构:
School of Mathematics and Statistics, Shaanxi Normal University, Xi’an,710119, ChinaSchool of Mathematics and Statistics, Shaanxi Normal University, Xi’an,710119, China