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具有R.S.S.结构的GMANOVA-MANOVA模型的影响分析(英文) 被引量:3

Assessment of Local Influence in the GMANOVA-MANOVA with R.S.S
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摘要 该文主要讨论具有C .R .Rao简单协方差结构的GMANOVA -MANOVA模型的局部影响分析问题 ,依据似然函数 ,采用曲率度量来评价微小扰动 (这里主要指协方差扰动 )对统计推断的影响。 This paper deals with the problem of assessing the local influence in a GMANOVA-MANOVA model with Rao's simple covariance structure (Abbr: R.S.S.). Based on the likelihood displacement, The curvature measure is employed to evaluate the effects of some minor perturbations on the statistical inference, thus leading to the large curvature direction, which is the most critical diagnostic statistic in the context of the local influence analysis. As an application, the common covariance-weighted perturbation scheme is thoroughly considered.
出处 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2000年第2期1-12,共12页 Journal of East China Normal University(Natural Science)
基金 国家自然科学基金!(No.1 9571 0 87)
关键词 GMANOVA-MANOVA模型 简单协方差结构 ω模型 and phrases GMANOVA-MANOVA model Rao's simple covariance structure w-Model likclihood displaeement curvature
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  • 1Wei B C,Introductory of statistiacl diagnostics,1991年

同被引文献19

  • 1杨建红,刘雯,胡俊.带Gauss型误差具有Rao简单结构的GMANOVA-MANOVA模型中未知参数的MLEs及其数字特征[J].云南师范大学学报(自然科学版),2006,26(2):24-27. 被引量:1
  • 2陈希孺.数理统计引论[M].北京:科学出版社,1997..
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  • 6张尧庭,方开泰.多元分析引论[M].北京:科学出版社,1999.
  • 7Chinchilli, V.M. and ELswick, R.K., A mixture of the MANOVA and GMANOVA models, Commun. Statist.- Theor. Meth., 1985, 14(12): 3075-3089.
  • 8Yokoyama, T., Statistical inference on some mixed MANOVA-GMANOVA models with random effects, Hiroshima Math. J., 1995, 25: 441-474.
  • 9Joarder, A.H. and Ali, M.M., Estimation of the scale matrix of a multivariate t-model under entropy loss, Metrika, 1997, 46(1): 21-32.
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