| 指数族非线性模型置信域的曲率表示 |
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| 引用本文： | 韦博成,万方焕.指数族非线性模型置信域的曲率表示[J].东南大学学报(自然科学版),1996,26(3):57-62. |
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| 作者姓名： | 韦博成 万方焕 |
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| 作者单位： | 东南大学数学力学系 |
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| 基金项目： | 国家自然科学基金,江苏省自然科学基金 |
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| 摘 要： | 利用微分几何方法，建立了批数族大线性模型下参数的置信域与统计模工率之间的一般联系，获得参数和子集参数置信域的３种曲率表示式，发展和推广了许多相关的结果。
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| 关 键 词： | 置信域 曲率 指数族 非线性模型 非线性回归 |
Formulating Confidence Regions in Terms of Curvature for Exponential Family Nonlinear Models |
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| Wei Bocheng, Wan Fanghuan.Formulating Confidence Regions in Terms of Curvature for Exponential Family Nonlinear Models[J].Journal of Southeast University(Natural Science Edition),1996,26(3):57-62. |
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| Authors: | Wei Bocheng Wan Fanghuan |
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| Abstract: | The differential geometric approach to exponential family nonlinear models is used to establish the general connetion between parameter confidence regions and the curvature of statistical models, and three types of formulations of the parameters and subset parameters are obtained in terms of curvature, thus the previous related results are developed. |
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| Keywords: | confidenee regions curvature geometry / exponential family nonlinear models score statistic |
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