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加权非线性回归的Score检验及其局部影响分析 被引量:23
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作者 韦博成 《应用概率统计》 CSCD 北大核心 1995年第2期147-156,共10页
在回归分析中,随机误差是否存在方差齐性是理论与应用工作者都十分关心的问题。对线性回归,已有许多讨论([1],[2])。本文则讨论加权非线性回归方差齐性的假设检验问题。本文把Cook & Weiberg([3])关于线性回归方差齐性Score检验的... 在回归分析中,随机误差是否存在方差齐性是理论与应用工作者都十分关心的问题。对线性回归,已有许多讨论([1],[2])。本文则讨论加权非线性回归方差齐性的假设检验问题。本文把Cook & Weiberg([3])关于线性回归方差齐性Score检验的结果推广到非线性回归;并利用Cox & Reid([4])的参数正交化方法得到修正的Score检验统计量。同时,本文还讨论了微小扰动对于Score统计量的局部影响,得到了度量最大局部影响的诊断统计量。 展开更多
关键词 非线回归 参数正交性 SCORE检验 假设检验
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Orthogonal Arrays Robust to a Specified Set of Nonnegligible Effects 被引量:1
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作者 CHEN Xueping LIN Jinguan 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2016年第2期531-541,共11页
This paper considers experimental situations where the interested effects have to be or- thogonal to a set of nonnegligible effects. It is shown that various types of orthogonal arrays with mixed strength are A-optima... This paper considers experimental situations where the interested effects have to be or- thogonal to a set of nonnegligible effects. It is shown that various types of orthogonal arrays with mixed strength are A-optimal for estimating the parameters in ANOVA high dimension model representation. Both cases including interactions or not are considered in the model. In particularly, the estimations of all main effects are A-optimal in a mixed strength (2, 2)3 orthogonal array and the estimations of all main effects and two-factor interactions in G~ x G~ are A-optimal in a mixed strength (2, 2)4 orthogonal array. The properties are also illustrated through a simulation study. 展开更多
关键词 Design of experiment matrix image orthogonal array robust design.
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Parameter sensitivity and inversion analysis of a concrete faced rock-fill dam based on HS-BPNN algorithm 被引量:9
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作者 SUN PengMing BAO TengFei +3 位作者 GU ChongShi JIANG Ming WANG Tian SHI ZhongWen 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2016年第9期1442-1451,共10页
Considering the complex nonlinear relationship between the material parameters of a concrete faced rock-fill dam(CFRD) and its displacements, the harmony search(HS) algorithm is used to optimize the back propagation n... Considering the complex nonlinear relationship between the material parameters of a concrete faced rock-fill dam(CFRD) and its displacements, the harmony search(HS) algorithm is used to optimize the back propagation neural network(BPNN), and the HS-BPNN algorithm is formed and applied for the inversion analysis of the parameters of rock-fill materials. The sensitivity of the parameters in the Duncan and Chang's E-B model is analyzed using the orthogonal test design. The case study shows that the parameters φ0, K, Rf, and Kb are sensitive to the deformation of the rock-fill dam and the inversion analysis for these parameters is performed by the HS-BPNN algorithm. Compared with the traditional BPNN, the HS-BPNN algorithm exhibits the advantages of high convergence precision, fast convergence rate, and strong stability. 展开更多
关键词 parameter sensitivity analysis harmony search algorithm back propagation neural network parameter inversion concrete faced rock-fill dam
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