[1]赵慧秀,周秀轻.带有线性约束的指数族非线性回归模型[J].南京师大学报(自然科学版),2010,33(01):1-5.
　Zhao Huixiu,Zhou Xiuqing.Exponential Family Nonlinear Regression Models With Linear Restriction[J].Journal of Nanjing Normal University(Natural Science Edition),2010,33(01):1-5.
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带有线性约束的指数族非线性回归模型()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第33卷
期数:
2010年01期
页码:
1-5
栏目:
数学
出版日期:
2010-03-20

文章信息/Info

Title:
Exponential Family Nonlinear Regression Models With Linear Restriction
作者:
赵慧秀1;  周秀轻2
1. 南京理工大学理学院, 江苏南京210094 2. 南京师范大学数学科学学院, 江苏南京210046
Author(s):
Zhao Huixiu1; Zhou Xiuqing2
1.College of Science,Nanjing University of Science and Technology,Nanjing 210094,China 2. S chool ofM athem atical S ciences, Nan jing N orm alUn ivers ity, Nan jing 210046, China
关键词:
指数族非线性回归模型;  曲率;  随机展开;  立体阵
Keywords:
non linear exponentia l fam ily reg ress ion m ode ls;  curvature;  sto chastic expans ions;  arrays
分类号:
O212.1
摘要:
给出了带有线性约束的指数族非线性回归模型的最大似然估计量的随机展开,所得到的随机展开式由相互独立的正态变量以及曲率立体阵表示,使用简洁方便.
Abstract:
Exponentia l fam ily nonlinear reg ression m ode ls w ith linear restr iction are d iscussed in this paper. A set of stochastic expansions are g iven for the restr ic ted m ax im um likelihood estim ato r. The stochastic expansions g iven here depend on ly on the independent norm a l random va riab les and curv atu re arrays, there fo re it is conven ient to use them.

参考文献/References:

[ 1] 韦博成. 近代非线性回归分析[M ]. 北京: 清华大学出版社, 1989: 88-210.
[ 2] W e i Bocheng. Exponen tia l Fam ily NonlinearMode ls[M ]. S ingapore: Springer, 1998: 1-71.
[ 3] Bates D M, W atts D G. Relative curvature m easures o f non linear ity [ J] . J Roy Statist So c Ser B, 1980, 42( 1): 1-25.
[ 4] Bates D M, W atts D G. Pa rame ter transform ations fo r improved approx im ate con fidence reg ion in nonlinear least squares[ J]. Ann Statist, 1981, 9( 6): 1 152-1 167.
[ 5] Bates D M, W atts D G. Non linear Reg ression Ana ly sis and Its Application[M ] . New Yo rk: W iley, 1988: 1-216.
[ 6] Beale E M L. Confidence regress ion in non- linea r estim ation[ J]. J Roy Statist Soc Se r B, 1960, 22( 1): 41-88.
[ 7] Be lsley D A, Kuhe E, W e lsch R E. Regression D iagno stics[M ] . New Yo rk: W iley, 1980: 1-105.

相似文献/References:

[1]吴一凡.Bayes条件下非线性模型的参数置信域的曲率表示[J].南京师大学报(自然科学版),2011,34(02):27.
　Wu Yifan.Confidence Regions of Parameters in Terms of Curvatures in Nonlinear Models With Bayes Conditions[J].Journal of Nanjing Normal University(Natural Science Edition),2011,34(01):27.

备注/Memo

备注/Memo:
基金项目: 国家社会科学基金( 09BTJ004)、南京理工大学科研发展基金( XF09040) . 通讯联系人: 赵慧秀, 博士, 讲师, 研究方向: 生物医学统计. E-mail:huixiu-zhao@yahoo.com
更新日期/Last Update: 2013-04-08