| 拟似然非线性模型的某些渐近推断:几何方法 |
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| 作者姓名： | WeiBocheng TangNiansheng WangXueren |
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| 作者单位： | [1]Dept.ofMath.,SoutheastUniv.,Nanjing210096. [2]Dept.ofStatistics,YunanUniv.,Kunming650091. |
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| 基金项目： | 中国科学院资助项目，NSFJ，19631040，BK99002，， |
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| 摘 要： | Abstract. A modified Bates and Watts geometric framework is proposed for quasi-likelihoodnonlinear models in Euclidean inner product space. Based on the modified geometric framework,some asymptotic inference in terms of curvatures for quasi-likelihood nonlinear models is stud-ied. Several previous results for nonlinear regression models and exponential family nonlinearmodels etc. are extended to quasi-likelihood nonlinear models.
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| 关 键 词： | 渐进线推论 似然非线性模型 几何法 曲率 |
| 收稿时间： | 25 December 1998 |
Some asymptotic inference in quasi-likelihood nonlinear models: A geometric approach |
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| WeiBocheng TangNiansheng WangXueren.Some asymptotic inference in quasi-likelihood nonlinear models: A geometric approach[J].Applied Mathematics A Journal of Chinese Universities,2000,15(2):173-183. |
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| Authors: | Wei Bocheng Tang Niansheng Wang Xueren |
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| Institution: | (1) Dept. of Math., Southeast Univ., 210096 Nanjing;(2) Dept. of Statistics, Yunan Univ., 650091 Kunming |
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| Abstract: | A modified Bates and Watts geometric framework is proposed for quasi-likelihood nonlinear models in Euclidean inner product space.Based on the modified geometric framework,some asymptotic inference in terms of curvatures for quasi-likelihood nonlinear models is studied.Several previous results for nonlinear regression models and exponential family nonlinear models etc.are extended to quasi-likelihood nonlinear models. |
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| Keywords: | 62F25 Curvature array quasi-information quasi-likelihood nonlinear models stochastic expansion variance |
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