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引用本文:��Ӣ��,��Ԫ,�����.ǿ��������Һ�������Ϣ����M���ƺͷ�λ�����ƵĽ�������[J].应用概率统计,2018,34(5):515-532.
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作者单位:?????????????????, ????, 510006; ????????????????????, ????, 541004
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M-estimation and Quantile Estimation in the Presence of Auxiliary Information under Strong Mixing Sample
LI Yinghua,LI Yuan,QIN Yongsong.M-estimation and Quantile Estimation in the Presence of Auxiliary Information under Strong Mixing Sample[J].Chinese Journal of Applied Probability and Statisties,2018,34(5):515-532.
Authors:LI Yinghua  LI Yuan  QIN Yongsong
Institution:School of Economics and Statistics,Guangzhou University, Guangzhou, 510006, China;  Department of Mathematics and Statistics,Guangxi Normal University, Guilin, 541004, China
Abstract:In this paper, we apply the empirical likelihood technique to propose a new class of M-estimators and quantile estimators in the presence of some auxiliary information under strong mixing samples. It is shown that the proposed M-estimators and quantile estimators are consistent and asymptotically normally distributed with smaller asymptotic variances than those of the usual M-estimators and quantile estimators.
Keywords:strong mixing sample  empirical likelihood  M-estimation  quantile  
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