Acta mathematica scientia, Series B >
QUANTILE ESTIMATION WITH AUXILIARY INFORMATION UNDER POSITIVELY ASSOCIATED SAMPLES
Received date: 2014-07-11
Revised date: 2015-04-10
Online published: 2016-04-25
Supported by
This work was partially supported by the National Natural Science Foundation of China (11271088, 11361011, 11201088) and the Natural Science Foundation of Guangxi (2013GXNSFAA019004, 2013GXNSFAA019007, 2013GXNSFBA019001).
The empirical likelihood is used to propose a new class of quantile estimators in the presence of some auxiliary information under positively associated samples. It is shown that the proposed quantile estimators are asymptotically normally distributed with smaller asymptotic variances than those of the usual quantile estimators.
Key words： Quantile; positively associated sample; empirical likelihood
Yinghua LI , Yongsong QIN , Qingzhu LEI , Lifeng LI . QUANTILE ESTIMATION WITH AUXILIARY INFORMATION UNDER POSITIVELY ASSOCIATED SAMPLES[J]. Acta mathematica scientia, Series B, 2016 , 36(2) : 453 -468 . DOI: 10.1016/S0252-9602(16)30012-1
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