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TESTING FOR VARYING DISPERSION IN DISCRETE EXPONENTIAL FAMILY NONLINEAR MODELS
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作者 LinJinguan WeiBocheng ZhangNansong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第3期294-302,共9页
It is necessary to test for varying dispersion in generalized nonlinear models.Wei,et al(1998) developed a likelihood ratio test,a score test and their adjustments to test for varying dispersion in continuous exponent... It is necessary to test for varying dispersion in generalized nonlinear models.Wei,et al(1998) developed a likelihood ratio test,a score test and their adjustments to test for varying dispersion in continuous exponential family nonlinear models.This type of problem in the framework of general discrete exponential family nonlinear models is discussed.Two types of varying dispersion,which are random coefficients model and random effects model,are proposed,and corresponding score test statistics are constructed and expressed in simple,easy to use,matrix formulas. 展开更多
关键词 discrete exponential family distribution generalized nonlinear model random coefficients random effects score test varying dispersion
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指数族广义非线性随机系数模型的变离差检验 被引量:2
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作者 林金官 韦博成 《数学物理学报(A辑)》 CSCD 北大核心 2003年第5期535-544,共10页
指数族广义非线性随机系数模型是 Smith & Heitjan[1 0 ]和 Wei etal[1 1 ]所研究模型的推广 .该文分别在模型离差 (dispersion)的权不变和变异时 ,讨论了指数族广义非线性随机系数模型的变离差的检验问题 ,得到了 score检验统计量 ... 指数族广义非线性随机系数模型是 Smith & Heitjan[1 0 ]和 Wei etal[1 1 ]所研究模型的推广 .该文分别在模型离差 (dispersion)的权不变和变异时 ,讨论了指数族广义非线性随机系数模型的变离差的检验问题 ,得到了 score检验统计量 .并利用欧洲野兔数据 ,分别对正态分布模型、Γ分布模型和逆高斯分布模型说明检验方法的有效性 . 展开更多
关键词 指数族分布 非线性模型 随机系数 变离差 score函数 score检验
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