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Joint empirical likelihood confidence regions for a finite number of quantiles under negatively associated samples

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Abstract

In this paper, the authors obtain the joint empirical likelihood confidence regions for a finite number of quantiles under negatively associated samples. As an application of this result, the empirical likelihood confidence intervals for the difference of any two quantiles are also developed.

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Authors and Affiliations

  1. Department of Mathematics, Guangxi Normal University, Guilin, 541004, China

    Yongsong Qin, Yinghua Li & Qingzhu Lei

Authors
  1. Yongsong Qin
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  2. Yinghua Li
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  3. Qingzhu Lei
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Corresponding author

Correspondence to Yongsong Qin.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 11271088, 11361011, 11201088 and the Natural Science Foundation of Guangxi under Grant No. 2013GXNSFAA019004, 2013GXNSFAA019007, 2013GXNSFBA019001.

This paper was recommended for publication by Editor SUN Liuquan.

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Qin, Y., Li, Y. & Lei, Q. Joint empirical likelihood confidence regions for a finite number of quantiles under negatively associated samples. J Syst Sci Complex 28, 1389–1398 (2015). https://doi.org/10.1007/s11424-015-3085-5

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  • DOI: https://doi.org/10.1007/s11424-015-3085-5

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