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 ...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.展开更多
In this paper, we obtain the joint empirical likelihood confidence regions for a finite number of quantiles under strong mixing samples. As an application of this result, the empirical likelihood confidence intervals ...In this paper, we obtain the joint empirical likelihood confidence regions for a finite number of quantiles under strong mixing samples. As an application of this result, the empirical likelihood confidence intervals for the difference of any two quantiles are also obtained.展开更多
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)+1 种基金the New Century Ten,Hundred and Thousand Talents Project of Guangxithe Youth Foundation of Guangxi Normal University
文摘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.
基金Supported by the National Natural Science Foundation of China(11271088,11361011,11201088)the Natural Science Foundation of Guangxi(2013GXNSFAA019004,2013GXNSFAA019007,2013GXNSFBA019001)
文摘In this paper, we obtain the joint empirical likelihood confidence regions for a finite number of quantiles under strong mixing samples. As an application of this result, the empirical likelihood confidence intervals for the difference of any two quantiles are also obtained.
基金Supported by the National Natural Science Foundation of Guangxi(2016GXNS FAA3800163)the Basic Ability Promotion Project for Young and Middle-age Teachers of Guangxi(KY2016YB862)the Professor Nurturing Engineering Project of Nanning University(2016JSGC09)
基金supported by National Natural Science Foundation of China(10971081,J0630104)Program for New Century Excellent Talents in University(NCET-08-237)+2 种基金Scientific Research Fund of Jilin University (200810024)Natural Science Foundation of Jilin Provincial Science & Technology Department(20101599, 201015100)985 project of Jilin University and the Doctor Foundation at Jilin University of Finace and Economics (10XB20)
基金The National Natural Science Foundation of China(11671102)the Natural Science Foundation of Guangxi(2016GXNSFAA3800163+1 种基金2017GXNSFAA198349)the Program on the High Level Innovation Team and Outstanding Scholars in Universities of Guangxi
基金The National Natural Science Foundation of China(1127108811201088+3 种基金11361011)the Natural Science Foundation of Guangxi(2013GXNSFAA0190042013GXNSFAA0190072013GXNSF BA019001)
基金Supported by the National Natural Science Foundation of China(11901124)the Basic Ability Promotion Project for Young and Middle-age Teachers of Guangxi(2020KY64007)the Professor Nurturing Engineering Project of Nanning University(2021JSGC07)。
