| 离散型指数族非线性模型的变离差检验 |
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| 引用本文： | 林金官,韦博成,张南松.离散型指数族非线性模型的变离差检验[J].高校应用数学学报(英文版),2003,18(3). |
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| 作者姓名： | 林金官 韦博成 张南松 |
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| 作者单位： | 林金官,LIN JINGUAN(Dept. of Math. & Comput. Sci. ,Jiangsu Institute of Education,Jiangsu 210013,China;Dept of Math. ,Southeast Univ. ,Jiangsu 210096,China);韦博成,Wei Bocheng(Dept of Math. ,Southeast Univ. ,Jiangsu 210096,China);张南松,Zhang Nansong(Dept of Math. ,Southeast Univ. ,Jiangsu 210096,China;Dept of Math. ,Zhejiang Univ. ,Zhejiang 310027,China) |
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| 基金项目： | 国家自然科学基金，SSFC资助项目 |
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| 摘 要： |
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TESTING FOR VARYING DISPERSION IN DISCRETE EXPONENTIAL FAMILY NONLNEAR MODELS |
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| LIN JINGUAN,Wei Bocheng,Zhang Nansong.TESTING FOR VARYING DISPERSION IN DISCRETE EXPONENTIAL FAMILY NONLNEAR MODELS[J].Applied Mathematics A Journal of Chinese Universities,2003,18(3). |
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| Authors: | LIN JINGUAN Wei Bocheng Zhang Nansong |
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| Abstract: | 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. |
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| Keywords: | discrete exponential family distribution generalized nonlinear model random coefficients random effects score test varying dispersion |
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