QUANTILE ESTIMATION WITH AUXILIARY INFORMATION UNDER POSITIVELY ASSOCIATED SAMPLES
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...
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| Published in | Acta mathematica scientia Vol. 36; no. 2; pp. 453 - 468 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.03.2016
Department of Mathematics, Guangxi Normal University, Guilin 541004, China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(16)30012-1 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | 李英华 秦永松 雷庆祝 李丽凤 |
| AuthorAffiliation | Department of Mathematics, Guangxi Normal University, Guilin 541004, China |
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| Copyright | 2016 Wuhan Institute of Physics and Mathematics Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Notes | 42-1227/O 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. Quantile; positively associated sample; empirical likelihood Yinghua LI, Yongsong QIN, Qingzhu LEI, Lifeng LI （Department of Mathematics, Guangxi Normal University, Cuilin 541004, China） ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| References | Bagai, Prakasa Rao (bib14) 1995; 47 Li, Qin, Lei (bib17) 2012; 142 Owen (bib2) 1990; 18 Kitamura (bib5) 1997; 25 Cai, Roussas (bib15) 1997; 36 Chen, Wu (bib4) 2002; 12 Esary, Proschan, Walkup (bib10) 1967; 38 Roussas (bib9) 2000; 50 Birkel (bib13) 1989; 7 Birkel (bib12) 1988; 16 Zhang (bib6) 1995; 44 Qin, Lei (bib8) 2011; 40 Birkel (bib11) 1988; 16 Chen, Qin (bib7) 1993; 80 Zhang (bib16) 2001; 78 Chen, Hall (bib3) 1993; 21 Owen (bib1) 1988; 75 Roussas (10.1016/S0252-9602(16)30012-1_bib9) 2000; 50 Birkel (10.1016/S0252-9602(16)30012-1_bib12) 1988; 16 Zhang (10.1016/S0252-9602(16)30012-1_bib16) 2001; 78 Chen (10.1016/S0252-9602(16)30012-1_bib4) 2002; 12 Owen (10.1016/S0252-9602(16)30012-1_bib1) 1988; 75 Birkel (10.1016/S0252-9602(16)30012-1_bib11) 1988; 16 Cai (10.1016/S0252-9602(16)30012-1_bib15) 1997; 36 Chen (10.1016/S0252-9602(16)30012-1_bib3) 1993; 21 Birkel (10.1016/S0252-9602(16)30012-1_bib13) 1989; 7 Li (10.1016/S0252-9602(16)30012-1_bib17) 2012; 142 Kitamura (10.1016/S0252-9602(16)30012-1_bib5) 1997; 25 Qin (10.1016/S0252-9602(16)30012-1_bib8) 2011; 40 Chen (10.1016/S0252-9602(16)30012-1_bib7) 1993; 80 Bagai (10.1016/S0252-9602(16)30012-1_bib14) 1995; 47 Zhang (10.1016/S0252-9602(16)30012-1_bib6) 1995; 44 Owen (10.1016/S0252-9602(16)30012-1_bib2) 1990; 18 Esary (10.1016/S0252-9602(16)30012-1_bib10) 1967; 38 |
| References_xml | – volume: 75 start-page: 237 year: 1988 end-page: 249 ident: bib1 article-title: Empirical likelihood ratio confidence intervals for a single functional publication-title: Biometrika – volume: 16 start-page: 1184 year: 1988 end-page: 1193 ident: bib11 article-title: Moment bounds for associated sequences publication-title: Ann Probab – volume: 38 start-page: 1466 year: 1967 end-page: 1474 ident: bib10 article-title: Association of random variables with applications publication-title: Ann Math Statist – volume: 7 start-page: 17 year: 1989 end-page: 20 ident: bib13 article-title: A note on the strong law of large numbers for positively dependent random variables publication-title: Statist Probab Lett – volume: 18 start-page: 90 year: 1990 end-page: 120 ident: bib2 article-title: Empirical likelihood ratio confidence regions publication-title: Ann Statist – volume: 12 start-page: 1223 year: 2002 end-page: 1239 ident: bib4 article-title: Estimation of distribution function and quantiles using the model-calibrated pseudo empirical likelihood method publication-title: Statist Sinica – volume: 44 start-page: 77 year: 1995 end-page: 94 ident: bib6 article-title: M-estimation and quantile estimation in the presence of auxiliary information publication-title: J Statist Plann and Inference – volume: 50 start-page: 1 year: 2000 end-page: 12 ident: bib9 article-title: Asymptotic normality of the kernel estimate of a probability density function under association publication-title: Statist Probab Lett – volume: 16 start-page: 1685 year: 1988 end-page: 1698 ident: bib12 article-title: On the convergence rate in the central limit theorem for associated processes publication-title: Ann Probab – volume: 47 start-page: 253 year: 1995 end-page: 266 ident: bib14 article-title: Kernel-type density and failure rate estimation for associated sequences publication-title: Ann Inst Statist Math – volume: 142 start-page: 1516 year: 2012 end-page: 1524 ident: bib17 article-title: Confidence intervals for probability density functions under associated samples publication-title: J Statist Plann Infer – volume: 25 start-page: 2084 year: 1997 end-page: 2102 ident: bib5 article-title: Empirical likelihood methods with weakly dependent processes publication-title: Ann Statist – volume: 78 start-page: 272 year: 2001 end-page: 298 ident: bib16 article-title: The weak convergence for functions of negatively associated random variables publication-title: J Multivariate Anal – volume: 40 start-page: 4289 year: 2011 end-page: 4307 ident: bib8 article-title: Quantile estimation in the presence of auxiliary information under negatively associated samples publication-title: Communications in Statistics-Theory and Method – volume: 80 start-page: 107 year: 1993 end-page: 116 ident: bib7 article-title: Empirical likelihood estimation for finite populations and the effective usage of auxiliary information publication-title: Biometrika – volume: 21 start-page: 1166 year: 1993 end-page: 1181 ident: bib3 article-title: Smoothed empirical likelihood confidence intervals for quantiles publication-title: Ann Statist – volume: 36 start-page: 275 year: 1997 end-page: 287 ident: bib15 article-title: Smooth estimate of quantiles under associate. 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| SubjectTerms | 62E20 62G05 Asymptotic properties Empirical analysis empirical likelihood Estimators positively associated sample Quantile Quantiles |
| Title | QUANTILE ESTIMATION WITH AUXILIARY INFORMATION UNDER POSITIVELY ASSOCIATED SAMPLES |
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