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有限总体中最优预测的稳健性 被引量：1

Robustness of Optimal Prediction in Finite Populations
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摘要 本文研究了有限总体中最优线性无偏预测的稳健性问题,得到了线性可预测量的这种预测关于协方差矩阵具有稳健性的充要条件． In this paper, robustness of the best linear unbiased predictor in finite populations are investigated. Necessary and sufficient conditions for the predictor of linear predictable variable to be robust with respect to covariance matrices are obtained.
作者 徐礼文 王松桂
机构地区 北京工业大学应用数理学院
出处 《应用概率统计》 CSCD 北大核心 2006年第1期27-34,共8页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金(10271010) 北京市自然科学基金(1032001)资助项目.
关键词 有限总体 线性可预测量 最优线性无偏预测 稳健性
分类号 O212.1 [理学—概率论与数理统计]
  • 相关文献

参考文献12

  • 1Wang, S.G. and Chow, S.C., Advanced Linear Models, Marcel Dekker Inc., New York, 1994.
  • 2Cassel, C.M. et al., Foundations of Inference in Survey Sampling, New York, Wiley, 1977.
  • 3Pereira, C.A.B., Rodrigues, J., Robust linear prediction in finite populations, International Statistical Review,51(1983), 293-300.
  • 4Bolfarine, H., Pereira, C.A,B., Rodrigues J., Robust linear prediction in finite populations-a bayesian perspective, Sankhya (Set. B), 49(1987), 23-35.
  • 5Bolfarine, H., Rodrigues, J., On the simple projection predictor in finite populations, Aust. Jour.Statist., 30(1988), 338-341.
  • 6Bolfarine, H., Zacks, S., Bayes and minimax prediction in finite populations, Jour. Statist. Plann.and Infer., 28(1991), 139-151.
  • 7Bolfarine, H., Zacks, S., Elian, S.N., Rodrigues, J., Optimal prediction of the finite population regression coefficient, Sankhya (Ser. B), 156(1994), 1-10.
  • 8Rodrigues, J,, Bolfarine, H., Rogakto, A., A general theory of prediction in finite populations, International Statistical Review, 53(1985), 239-254.
  • 9喻胜华,何灿芝.有限总体中的最优预测[J].高校应用数学学报（A辑）,2000,15A(2):199-205. 被引量：14
  • 10喻胜华,何灿芝.任意秩多元线性模型中的最优预测[J].应用数学学报,2001,24(2):227-235. 被引量：35

二级参考文献15

  • 11，Pereira,C.A.B.and Rodrigues,J.,Robust linear prediction in finite populations,Internat.Statist.Rev.,1983,51:293～300.
  • 22，Bolfarine,H.,Zacks,S.,Elian,S.N., et al.,Optimal prediction of the finite population regression coefficient,Sankhy Ser.B,1994,56:1～10.
  • 33，Bolfarine,H.and Rodrigues,J.,On the simple projection predictor in finite populations,Austral.J.Statist.,1988,30:338～341.
  • 44，Bolfarine,H.,Zacks,S.,Bayes and minimax prediction in finite populations,J.Statist.Plann. Inference,1991,28:139～151.
  • 55，Bolfarine,H.,Pereira,C.A.B. and Rodrigues,J.,Robust linear prediction in finite populations-A Bayesian perspective,Sankhy Ser.B,1987,49:23～35.
  • 66，Rodrigues,J.,Bolfarine,H.and Rogakto,A.,A general theory of prediction in finite populations,Internat.Statist.Rev.,1985,53:239～254.
  • 7[1]Pereira C A B, Rodrigues J. Robust Linear Prediction in Finite Populations. International Statistical Review, 1983, 51:293-300
  • 8[2]Bolfarine H, Pereira C A B, Rodrigues J. Robust Linear Prediction in Finite Populations-A Bayesian Perspective. Sankhya-(Series B), 1987, 49:23-35
  • 9[3]Bolfarine H, Rodrigues J. On the Simple Projection Predictor in Finite Populations. Aust. Jour.Statist., 1988, 30:338-341
  • 10[4]Bolfarine H, Zacks S. Bayes and Minimax Prediction in Finite Populations. Jour. Statistical Planning and Inference, 1991, 28:139-151

共引文献54

同被引文献9

  • 1Pereira C A B,Rodrigues J.Robust Linear Prediction in Finite Populations[J].International Statistical Review,1983(51):293-300.
  • 2Bolfarine H,Pereira C A B,Rodrigues J.Robust Linear Prediction in Finite Populations-A Bayesian Perspective[J].Sankhya (Series B),1987(49):23-35.
  • 3Bolfarine H,Rodrigues J.On the Simple Projection Predictor in Finite Populations[J].Aust Jour Statist,1988(30):338-341.
  • 4Bolfarine H,Zacks S.Bayes and Minimax Prediction in Finite Populations[J].Jour Statistical Planning and Inference,1991(28):139-151.
  • 5Bolfarine H,Zacks S,Elian S N,Rodrigues J.Optimal Prediction of the Finite Populations Regression Coefficient[J].Sankhya (Series B),1994(56):1-10.
  • 6Rodrigues J,Bolfarine H,Rogakto A.A General Theory of Prediction in Finite Populations[J].International Statistical Review,1995(53):239-254.
  • 7喻胜华,何灿芝.可估子空间上一般Gauss-Mrkoff模型的比较[J].应用数学学报,1997,20(4):580-586. 被引量：10
  • 8喻胜华,何灿芝.任意秩多元线性模型中的最优预测[J].应用数学学报,2001,24(2):227-235. 被引量：35
  • 9梁小林.有限总体中的条件最优线性无偏预测[J].长沙交通学院学报,2002,18(4):1-3. 被引量：1

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应用概率统计
2006年 第1期

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