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Communications in Statistics - Theory and Methods Volume 48, 2019 - Issue 5
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Original Articles

On the Bahadur representation of sample quantiles for ψ-mixing sequences and its application

Guodong XingSchool of Mathematics & Computer Science, Shangrao Normal University, Shangrao, China;School of Mathematics & Computer Science, Guangxi Science & Technology Normal University, Laibin, China;School of Mathematical Sciences, Xiamen University, Xiamen, ChinaCorrespondence[email protected]
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Shanchao YangDepartment of Mathematics, Guangxi Normal University, Guilin, ChinaView further author information
Pages 1060-1072 | Received 13 Jan 2012, Accepted 30 Dec 2017, Published online: 23 Jan 2018
 
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ABSTRACT

In this paper, the Bahadur representation of sample quantiles for ψ-mixing sequences is obtained under the given conditions. As its application, the uniformly asymptotic normality is derived.

Acknowledgments

The authors are greatly grateful to the three anonymous referees for providing valuable suggestions which improved the first manuscript.

Additional information

Funding

This research is supported by the Key Disciplines for Operational Research and Cybernetics of the Education Department of Guangxi Province, the National Science Foundation of China(11461009) and the Natural Science Foundation of Guangxi (2011GXNSFA018133).

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