NONPARAMETRIC ESTIMATION OF LOCATION PARAMETER AFTER A PRELIMINARY TEST ON REGRESSION IN THE MULTIVARIATE CASE

被引:20
作者
SEN, PK [1 ]
SALEH, AKME [1 ]
机构
[1] CARLETON UNIV, OTTAWA K1S 5B6, ONTARIO, CANADA
关键词
Asymptotic bias; asymptotic dispersion matrix; asymptotic multi-normality; asymptotic relative efficiency; nonparametric multivariate estimation; preliminary test estimator;
D O I
10.1016/0047-259X(79)90089-7
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
For a simple multivariate regression model, nonparametric estimation of the (vector of) intercept following a preliminary test on the regression vector is considered. Along with the asymptotic distribution of these estimators, their asymptotic bias and dispersion matrices are studied and allied efficiency results are presented. © 1979.
引用
收藏
页码:322 / 331
页数:10
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Puri M.L., 1971, WILEY PUBLICATION MA
[3]   A CLASS OF RANK ORDER TESTS FOR A GENERAL LINEAR HYPOTHESIS [J].
PURI, ML ;
SEN, PK .
ANNALS OF MATHEMATICAL STATISTICS, 1969, 40 (04) :1325-&
[4]  
SALEH AK, 1978, ANN STAT, V6, P154
[5]  
SEN PK, 1969, MULTIVARIATE ANAL, V2, P33