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《Journal of Guangxi Normal University(Natural Science Edition)》 2017-03
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Empirical Bayes Estimation and Test for Scale Exponential Families under Strong Mixing Samples

LEI Qingzhu;QIN Yongsong;LUO Min;College of Mathematic and Statistics,Guangxi Normal University;Guilin Staff and Workers University;  
In this paper,the empirical Bayes(EB)estimation and(EB)test in scale exponential families are studied under strong mixing samples.Two EB estimators and two EB tests are proposed.Under mild regularity conditions,the convergence rates of the proposed EB estimators and EB tests are given under strong mixing samples.Simulation results are also given to show the performance of the proposed EB estimators and tests.
【Fund】: 国家自然科学基金(11361011 11671102);; 广西自然科学基金(2016GXNSFAA3800163)
【CateGory Index】: O212.8
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 LEI Qingzhu;QIN Yongsong;School of Mathematics and Statistics, Guangxi Normal University;;Empirical Bayes Estimation for Continuous One-parameter Exponential Families under Strong Mixing Samples[J];应用数学;2016-01
2 GUO Peng-jiang,WANG Hui-ya,ZHANG Tao(Department of Mathematics,Northwest University,Xi′an 710127,China);The empirical Bayes test of the parameter for the scale-exponential family under PA samples[J];西北大学学报(自然科学版);2009-01
3 Chen Ling Wei Laisheng(Department of Statistics and Finance, University of Science and Technology of China, Anhui Hefei 230026);The Empirical Bayes Estimation Problem for Continuous One-parameter Exponential Family:In the case of NA Samples[J];数学研究;2006-01
4 WEI LAISHENG (Department of Statistics and Finance, University of Science and Technology of China, Hefei 230026);THE EMPIRICAL BAYES TEST PROBLEM FOR SCALE EXPONENTIAL FAMILY: IN THE CASE OF NA SAMPLES[J];应用数学学报;2000-03
5 Zhao Lincheng;Empirical Bayes Estimation with Convergence Rates about a Class of Discrete Distribution Families[J];数学研究与评论;1981-01
【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 LEI Qingzhu;QIN Yongsong;LUO Min;College of Mathematic and Statistics,Guangxi Normal University;Guilin Staff and Workers University;;Empirical Bayes Estimation and Test for Scale Exponential Families under Strong Mixing Samples[J];广西师范大学学报(自然科学版);2017-03
2 ZHANG Yue;JING Xiao-pei;ZHOU Ju-ling;School of Mathematics Sciences,Xinjiang Normal University;;An Empirical Bayes Estimator and Its Convergence Rate of the Shape Parameter in the Generalized Pareto Distribution[J];数学的实践与认识;2016-20
3 HUANG Jin-chao;YANG Ying-ying;GUO Dong;Basic Teaching Department,Chouzhou Vocational Technology College;;Empirical Bayes Test Problem for the Parameter of Weibull Distribution Family[J];淮阴师范学院学报(自然科学版);2016-03
4 HUANG JINCHAO;LING NENGXIANG;Basic Course Department,Chouzhou Vocational Technology College;School of Mathematics,Hefei University of Technology;;An improved Empirical Bayes Test for the Parameter in Cox Models[J];应用数学学报;2016-04
5 WANG Chao;CHEN Jiaqing;LIU Cihua;Department of Statistics, College of Science, Wuhan University of Technology;College of Mathematics and Statistics, Huazhong University of Science and Technology;;Empirical Bayes Estimation of the Scale Parameter for a Generalized Exponential Distribution Under Entropy Loss[J];应用数学;2016-03
6 LEI Qingzhu;QIN Yongsong;School of Mathematics and Statistics, Guangxi Normal University;;Empirical Bayes Estimation for Continuous One-parameter Exponential Families under Strong Mixing Samples[J];应用数学;2016-01
7 You You;ZHOU LING;Department of Public Foundation Teaching,Auhui Technical College of Mechanical and Electrical Engineering;School of Mathematics and Computer Science,Anhui Normal University;;The Empirical Bayes Estimation of the Location Parameter in Double-Exponential Family under the LINEX Loss Function[J];应用概率统计;2015-03
8 HUANG Jin-chao;YANG Ying-ying;LING Neng-xiang;Basic Course Department,Chuzhou Vocational Technology College;School of Mathematics,Hefei University of Technology;;Empirical Bayes two-sided test for the parameter of Weibull distribution families[J];东北师大学报(自然科学版);2015-01
9 TONG En-tao;FAN Guo-liang;College of Mathematics and Physics,Anhui Polytechnic University;;Asymptotically optimal empirical bayes estimation of parameter for scale-exponential family under PA samples[J];安徽工程大学学报;2015-01
【Secondary Citations】
Chinese Journal Full-text Database 9 Hits
1 LI Xing-ya,SHI Yi-min,LI Hao-liang(Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710129,China);Empirical Bayes Estimation for Parameters of Weibull Distribution Family Using NA Samples[J];昆明理工大学学报(理工版);2009-02
2 WANG Hui-ya ZHANG Tao GUO Peng-jiang (Department of Mathematics,Northwest University,Xi'an 710069,China);The empirical Bayes estimators of the parameter for the continuous one-parameter exponential family under PA samples[J];西北大学学报(自然科学版);2008-01
3 WEI Li KONG Sheng-Chun WEI Lai-Sheng(Department of Statistics and Finance,USTC,Hefei 230026,China);The convergence rates for empirical bayes test of the parameter in scale exponential family[J];中国科学院研究生院学报;2007-01
4 Chen Ling Wei Laisheng(Department of Statistics and Finance, University of Science and Technology of China, Anhui Hefei 230026);The Empirical Bayes Estimation Problem for Continuous One-parameter Exponential Family:In the case of NA Samples[J];数学研究;2006-01
5 CHEN Ling,WEI Lai-sheng (Department of Statistics and Finance,University of Science and Technology of China,Hefei 230026,China);The Empirical Bayes Test Problems for Continuous One-parameter Exponential Family:In the Case of NA Samples[J];应用数学;2004-02
6 WEI Li ,WEI Lai sheng ( Department of Statistics and Finance,USTC, Hefei 230026 );The Empirical Bayes Test Problem of Parameter for Scale Exponential Family[J];中国科学技术大学学报;2004-01
7 WEI LAISHENG (Department of Statistics and Finance, University of Science and Technology of China, Hefei 230026);THE EMPIRICAL BAYES TEST PROBLEM FOR SCALE EXPONENTIAL FAMILY: IN THE CASE OF NA SAMPLES[J];应用数学学报;2000-03
8 PAN JIANMIN(Hangzhou University, Hangzhou 310028);On the Convergence Rate in the Central Limit Theorem for Negatively Associated Sequences[J];应用概率统计;1997-02
9 Zhao Lincheng;Empirical Bayes Estimation with Convergence Rates about a Class of Discrete Distribution Families[J];数学研究与评论;1981-01
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