Some asymptotic inference in quasi-likelihood nonlinear models: A geometric approach
作者： Wei Bocheng , Tang Niansheng , Wang Xueren
DOI: 10.1007/S11766-000-0024-5
关键词: Quasi-likelihood 、 Mathematics 、 Applied mathematics 、 Nonlinear system 、 Inner product space 、 Nonlinear regression 、 Exponential family 、 Inference 、 Mathematical optimization 、 Euclidean geometry 、 Variance (accounting)
摘要: A modified Bates and Watts geometric framework is proposed for quasi-likelihood nonlinear models in Euclidean inner product space. Based on the framework, some asymptotic inference terms of curvatures studied. Several previous results regression exponential family etc. are extended to models.
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sci-hub.se 参考文章(14)
P. J. Cheek, P. McCullagh, J. A. Nelder, Generalized Linear Models, 2nd Edn. Applied Statistics. ,vol. 39, pp. 385- 386 ,(1990) , 10.2307/2347392
Douglas M. Bates, Donald G. Watts, Relative Curvature Measures of Nonlinearity Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 42, pp. 1- 16 ,(1980) , 10.1111/J.2517-6161.1980.TB01094.X
Bo-Cheng Wei, Exponential Family Nonlinear Models ,(1998)
Peter McCullagh, John Ashworth Nelder, Generalized Linear Models ,(1983)
Bo-Cheng Wei, SOME SECOND ORDER ASYMPTOTICS IN NONLINEAR REGRESSION Australian & New Zealand Journal of Statistics. ,vol. 33, pp. 75- 84 ,(1991) , 10.1111/J.1467-842X.1991.TB00414.X
R. W. M. WEDDERBURN, Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method Biometrika. ,vol. 61, pp. 439- 447 ,(1974) , 10.1093/BIOMET/61.3.439
Jeng-Min Chiou, Hans-Georg Müller, Quasi-Likelihood Regression with Unknown Link and Variance Functions Journal of the American Statistical Association. ,vol. 93, pp. 1376- 1387 ,(1998) , 10.1080/01621459.1998.10473799
SHUN-ICHI AMARI, Geometrical theory of asymptotic ancillarity and conditional inference Biometrika. ,vol. 69, pp. 1- 17 ,(1982) , 10.1093/BIOMET/70.1.303
Bradley Efron, Defining the Curvature of a Statistical Problem (with Applications to Second Order Efficiency) Annals of Statistics. ,vol. 3, pp. 1189- 1242 ,(1975) , 10.1214/AOS/1176343282
FU CHIEN, None, Asymptotic Theory of Nonlinear Least Squares Estimation Annals of Statistics. ,vol. 9, pp. 501- 513 ,(1981) , 10.1214/AOS/1176345455