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SOME ASYMPTOTIC INFERENCE IN QUASI-LIKELIHOOD NONLINEAR MODELS:A GEOMETRIC APPROACH
Authors:Wei Bocheng\ \ Tang Niansheng\ \ Wang Xueren\ Deptof Math  Southeast Univ  Nanjing Deptof Statistics  Yunan Univ  Kunming
Institution:Wei Bocheng\ 1\ Tang Niansheng\ 1\ Wang Xueren\ 21 Dept.of Math.,Southeast Univ.,Nanjing 2 1 0 0 96.2 Dept.of Statistics,Yunan Univ.,Kunming 650 0 91
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.
Keywords:Curvature array  quasi\|information  quasi\|likelihood nonlinear models  stochastic expansion  variance  
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