ON CONFIDENCE REGIONS OF SEMIPARAMETRIC NONLINEAR REGRESSION MODELS (A GEOMETRIC APPROACH)

数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 68-75.

ON CONFIDENCE REGIONS OF SEMIPARAMETRIC NONLINEAR REGRESSION MODELS (A GEOMETRIC APPROACH)

朱仲义, 唐年胜, 韦博成

Department of Applied Mathematics, Southeast University, Nanjing 210096, China

出版日期:2000-01-07 发布日期:2000-01-07
基金资助:
The project supported by NSFC and NSFJ

ON CONFIDENCE REGIONS OF SEMIPARAMETRIC NONLINEAR REGRESSION MODELS (A GEOMETRIC APPROACH)

ZHU Zhong-Yi, TANG Nian-Sheng, WEI Bo-Cheng

Department of Applied Mathematics, Southeast University, Nanjing 210096, China

Online:2000-01-07 Published:2000-01-07
Supported by:
The project supported by NSFC and NSFJ

摘要/Abstract

摘要：

A geometric framework is proposed for semiparametric nonlinear regression models based on the concept of least favorable curve, introduced by Severini and Wong (1992). The authors use this framework to drive three kinds of improved approximate confidence regions for the parameter and parameter subset in terms of curvatures. The results obtained by Hamilton et al. (1982), Hamilton (1986) and Wei (1994) are extended to semiparametric nonlinear regression models.

关键词: Confidence regions, curvatures, nonlinear regression models, score statistic, semiparametric models

Abstract:

Key words: Confidence regions, curvatures, nonlinear regression models, score statistic, semiparametric models

中图分类号:

62F25

朱仲义, 唐年胜, 韦博成. ON CONFIDENCE REGIONS OF SEMIPARAMETRIC NONLINEAR REGRESSION MODELS (A GEOMETRIC APPROACH)[J]. 数学物理学报(英文版), 2000, 20(1): 68-75.

ZHU Zhong-Yi, TANG Nian-Sheng, WEI Bo-Cheng. ON CONFIDENCE REGIONS OF SEMIPARAMETRIC NONLINEAR REGRESSION MODELS (A GEOMETRIC APPROACH)[J]. Acta mathematica scientia,Series B, 2000, 20(1): 68-75.

[1]	林金官, 李博成. TESTING FOR VARYING DISPERSION OF LONGITUDINAL BINOMIAL DATA IN NONLINEAR LOGISTIC MODELS WITH RANDOM EFFECTS[J]. 数学物理学报(英文版), 2004, 24(4): 559-568.
[2]	刘应安, 韦博成. CONFIDENCE REGIONS IN TERMS OF STATISTICAL CURVATURE FOR AR(q) NONLINEAR REGRESSION MODELS 1[J]. 数学物理学报(英文版), 2004, 24(1): 107-117.
[3]	宗序平, 赵俊, 王海斌, 韦博成. INFLUENCE ANALYSIS ON EXPONENTIAL NONLINEAR MODELS WITH RANDOM EFFECTS[J]. 数学物理学报(英文版), 2003, 23(3): 297-.

ON CONFIDENCE REGIONS OF SEMIPARAMETRIC NONLINEAR REGRESSION MODELS (A GEOMETRIC APPROACH)

ON CONFIDENCE REGIONS OF SEMIPARAMETRIC NONLINEAR REGRESSION MODELS (A GEOMETRIC APPROACH)

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