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广义线性模型(四) 被引量:3

Generalized Linear Models
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摘要 本讲座是广义线性模型这个题目的一个比较系统的介绍。主要分 3部分 ;建模、统计分析与模型选择和诊断。写作时依据的主要参考资料是L .Fahrmeir等人的《MultivariateStatisticalModelingBasedonGeneralizedLinearModels》。 This set of articles gives an introduction to generalized linear models.They can be divided into three parts:Model building,Statistical inference and Model diagnostics.The presentation is mainly based on L.Fahrmeir et al.《Multivariate Statistical Modeling Based on Generalized Linear Models》.
作者 陈希孺
出处 《数理统计与管理》 CSSCI 北大核心 2003年第2期56-63,共8页 Journal of Applied Statistics and Management
关键词 序贯模型 两步模型 多目标值相依 广义线性模型 generalized linear models model building statistical inference model diagnostics
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参考文献3

  • 1[1]L.Fahrmeir.Multivariate Statistical Modeling Based on Generalized Linear Models[M].New York,Springer-Verlag,1994.
  • 2[2]McCullagh.Generalized Linear Models [M].London/New York,Chapman & Hill,1989 2ndedition.
  • 3[3]L.Fahrmeir.Consistency and asymptotic normality of the maximum likelihood estimator in generalized linear models[J].Ann.Statist.,1985,342-368.

同被引文献13

  • 1尹长明,赵林城.广义线性模型极大似然估计的强相合性与渐近正态性[J].应用概率统计,2005,21(3):249-260. 被引量:4
  • 2Fahrmeir, L. & Kanfmann, H., Consistency and asymptotic normality of the maximum likelihood estimator in generalized linear models, Ann. Statist., 13(1985), 342-368.
  • 3Fahrmeir, L. & Kanfmann, H., Asymptotic inference in discrete response models, Statistical Papers,27(1986), 179-205.
  • 4Bennett, C:., Probability inequality for sums of independent random variables, J. Amer. Statist.Assoc., 57(1962), 33-45.
  • 5Fahrmeir, L. & Tuts, G., Multivariate Statistical Modelling Based on Generalized Linear Models,Berlin: Springer, 1994.
  • 6FAHRMEIR L, TUTS G. Multivariate Statistical Modelling Based on Generalized Linear Models [ M]. Berlin: Springer, 1994.
  • 7FAHRMEIR L, KANFMANN H. Consistency and asymptotic normality of the maximum likelihood estimator in generalized linear models[J]. Ann Statist, 1985, 13: 342-368.
  • 8FAHRMEIR L, KANFMANN H. Asymptotic inference in discrete response models[J]. Statistical Papers, 1986, 27:179-205.
  • 9Fahrmeir L, Kaufmann H. Consistency and asymptotic normality of the maximum likelihood estimator in generalized linear mod- els [ J ]. Ann Statist, 1985,13 ( 1 ) :342 - 368.
  • 10Fahrmeir L, Kaufmann H. Asymptotic inference in discrete response models[ J]. Statistische Hefte, 1986,27:179- 214.

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