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Exponential Family Nonlinear Regression Models With Linear Restriction(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2010年01期
Page:
1-5
Research Field:
数学
Publishing date:

Info

Title:
Exponential Family Nonlinear Regression Models With Linear Restriction
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
Keywords:
non linear exponentia l fam ily reg ress ion m ode ls;  curvature;  sto chastic expans ions;  arrays
PACS:
O212.1
DOI:
-
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.

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.

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Last Update: 2013-04-08