[1]刘网定,等.协变量带误差的随机删失数据线性模型的一类半参数估计[J].南京师范大学学报(自然科学版),2009,32(02):31-35.
 Liu Wangding,Wang Haikang,Zhou Xiuqing.A Class of Semiparametric Estimators for Linear Error-in-Covariables Models Under Random Censorship[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(02):31-35.
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协变量带误差的随机删失数据线性模型的一类半参数估计()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年02期
页码:
31-35
栏目:
数学
出版日期:
2009-06-30

文章信息/Info

Title:
A Class of Semiparametric Estimators for Linear Error-in-Covariables Models Under Random Censorship
作者:
刘网定1 2 王海康2 周秀轻2
1. 南京陆军指挥学院, 江苏南京210045
2. 南京师范大学数学科学学院, 江苏南京210097
Author(s):
Liu Wangding12Wang Haikang2Zhou Xiuqing2
1.Nanjing Army Command College,Nanjing 210045,China
关键词:
随机删失数据 线性回归模型 协变量带误差 渐近正态性
Keywords:
random censoring linearm odels erro rs in covariab les asym pto tic norm a lity
分类号:
O212.1
摘要:
考虑线性模型Yi=XiTβ+iε,i=1,2,…,n,其中Yi为随机右删失因变量,Xi难以观测,或需要较高成本才能得到其精确观测值,故转而观测与Xi相关的相对易得的随机变量~Xi.利用数据集{(Xj,~Xj)}jn=+nN+1估计E[X|~X]的同时,给出了参数向量β的一类半参数估计,并且证明了估计量的渐近正态性.

参考文献/References:

[ 1] Buckley J Jam es. L inear reg ression w ith censored data[ J]. B iom etr ika, 1979, 66( 3): 429-436.
[ 2] Cha tter jee S, M cLe ish D L. Fitting linea r regression m odels to censored data by least squa res and m ax imum likelihood m ethods[J]. Comm Statist-TheorM eth, 1986, 15( 11): 3 227-3 243.
[ 3] Kou lH, SusarlaV, V an Ry zin J. Reg ression ana lysis w ith random ly right- censored da ta[ J]. Ann Stat, 1981, 9( 6): 1 276-1 288.
[ 4] Leurgans S. L inearm ode ls, random censor ing and synthetic da ta[ J]. B iome tr ika, 1987, 74( 2): 301-309.
[ 5] M iller R G. Least squares regression w ith censored da ta[ J]. B iome tr ika, 1976, 63( 6): 449-464.
[ 6] Zheng Z K. A class of estim ator fo r the param eter in linear reg ress ion w ith censored data[ J]. ActaM athema tic App licataeS in ica, 1987, 3: 231-241.
[ 7] 秦更生. 随机删失场合部分线性模型中的核光滑方法[ J] . 数学年刊, 1995, A16( 4): 441-453.
[ 8] Prentice R L. Surroga te endpo ints in c linical tria ls: defin ition and opera tiona l[ J]. O riter ia Sta tist, 1989, 8: 431-440.
[ 9] Bound J, Krunt A B. The ex tend o fm easurem ent error in long itud ina l earn ing data: Do tw ow rongs m ake a right? [ J]. J LaborEconom ics, 1989, 9: 1-24.
[ 10] PepeM S, Flem ing T R. A genera l nonparam etr icm e thod fo r dealing w ith erro rs in m issing o r surrog ate cova riate data[ J].J Am er S tatist Assoc, 1991, 86: 108-113.
[ 11] PepeM S. Inference us ing surrogate outcom e data and a validation samp le[ J]. B iom etrika, 1992, 79( 2): 355-365.
[ 12] Sepanski J H, Lee L F. Sem iparam etr ic estim ation o f non linear e rror- in-var iable models w ith va lidation study[ J]. J Nonparame tr S tatist 4, 1995, 4( 4): 365-394.
[ 13] Carro ll R J, W andM P. Sem iparam e tric estim ation in log istic measure e rror m ode ls[ J]. J Roy Sta tist Soc B, 1991, 53( 3): 573-585.
[ 14] W angQ ihua. Estim ation o f linear error- in-covariab lesm ode lsw ith va lidation da ta unde r random censorship[ J] . JM ultiv ar-iate Ana,l 2000, 74( 2): 245-266.
[ 15] Tze Leung la ,i Zheng Zukang. Surv iva l Ana lysis[M ]. H angzhou: Zhe jiang Pub lish ing H ouse o f Sc ience and Techno logy,1993: 105-116.
[ 16] 陈希儒. 非参数统计[M ]. 上海: 上海科学技术出版社, 2000: 58-67

备注/Memo

备注/Memo:
通讯联系人: 刘网定, 助教, 研究方向: 生存分析和回归分析. E-m ail: m emoryl iu@ 163. com
更新日期/Last Update: 2013-04-23