Empirical Likelihood for Quantiles Under Associated Samples  

作　　者：Ying-hua LI Yong-song QIN Qing-zhu LEI 

机构地区：[1]School of Mathematics and Statistics, Guangxi Normal University

出　　处：《Acta Mathematicae Applicatae Sinica》2015年第1期71-80,共10页应用数学学报（英文版）

基　　金：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;the Youth Foundation of Guangxi Normal University

摘　　要：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 X2-type distributed, which is used to obtain EL-based confidence intervals for quantiles of a population.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 X2-type distributed, which is used to obtain EL-based confidence intervals for quantiles of a population.

关 键 词：QUANTILE associated sample blockwise empirical likelihood confidence interval 

分 类 号：O212.2[理学—概率论与数理统计]