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《Chinese Journal of Applied Probability and Statistics》 2008-04
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Strong Consistency of Parameters’ Bootstrap Estimators in Two-Dimensional Exponential Signal Model

Zhang Qiong Guo Dawei (College of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000)  
In this paper, we investigate the Bootstrap approximation for two-dimensional exponential signal model with noise, which has a wide applications in statistical signal processing, and give the Bootstrap estimators of the parameters by virtue of the construction method of Bootstrap approximation in regressive model and prove the strong consistency. By Monte-carlo simulation, the results indicate that Bootstrap estimators are better than Least-squares estimators when the noise do not obey the normal distribution.
【Fund】: 安徽省高校自然科学研究重点项目(KJ2007A012);; 安徽省教育厅教学研究项目(2007jyxm195);; 安徽师范大学青年科研基金(2007xqn55);; 安徽师范大学青年科研基金(2008xqn44)
【CateGory Index】: O242.2;O212.1
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 WEN Xian-bin1 , TIAN Zheng ,4 2,3, LIN Wei1 , YANG Zheng1 ,2 (1- Department of computer Science and Technology, Northwestern Polytechnical University, Xi’an 710072; 2- Department of Mathematics & Information Science, Northwestern Polytechnical University, Xi’an 710072; 3- National Key Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, Beijing 100080; 4- Shandong University of Technology, Zibo 255049 );Bootstrap Approximation of Parameters in the Damped Exponential Signal[J];Chinese Journal of Engineering Mathematics;2004-06
【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 ZHANG Qiong,GUO Da-wei(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Asymtotic Normality of Parameters' Bootstrap Estimators in Two-Dimensional Exponential Signal Model[J];Journal of Anhui Normal University(Natural Science);2008-02
2 XU Xin-sheng1,2,FANG Shui-liang1,GU Xin-jian1(1.Inst.of Contemporary Manu.Eng.,Zhejiang Univ.,Hangzhou 310027,China;2.Sch.of Mechatronics Eng.,China Jiliang Univ.,Hangzhou 310018,China);Product variant design based on design parameter estimation[J];Computer Integrated Manufacturing Systems;2007-02
3 YANG Zheng1, TIAN Zheng1,2 (1.Department of Applied Mathematics, Northwest Polytechnical University, Xi’an 710072, China; 2.National Key Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China);Identification Method of Threshold Cointegration in Cointegrating Model[J];Journal of System Simulation;2007-13
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