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Empirical likelihood for quantiles under associated samples

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Abstract

The construction of confidence intervals for quantiles of a population under a associated sample is studied by using the blockwise technique. It is shown that the blockwise empirical likelihood (EL) ratio statistic is asymptotically χ2-type distributed, which is used to obtain EL-based confidence intervals for quantiles of a population.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Guangxi Normal University, Guilin, 541004, China

    Ying-hua Li, Yong-song Qin & Qing-zhu Lei

Authors
  1. Ying-hua Li
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  2. Yong-song Qin
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  3. Qing-zhu Lei
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Corresponding author

Correspondence to Yong-song Qin.

Additional information

Supported by the National Natural Science Foundation of China (No. 11271088, 11201088, 11361011), the Natural Science Foundation of Guangxi (N0.2013GXNSFAA019004, 2013GXNSFAA019007, 2013GXNSFBA019001), the New Century Ten, Hundred and Thousand Talents Project of Guangxi and the Youth Foundation of Guangxi Normal University.

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Li, Yh., Qin, Ys. & Lei, Qz. Empirical likelihood for quantiles under associated samples. Acta Math. Appl. Sin. Engl. Ser. 31, 71–80 (2015). https://doi.org/10.1007/s10255-015-0451-y

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  • DOI: https://doi.org/10.1007/s10255-015-0451-y

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