Asymptotically linear estimation in a generalized linear model

被引:0
|
作者
Liang, H [1 ]
Zou, GH [1 ]
机构
[1] ACAD SINICA, INST SYST SCI, BEIJING 100080, PEOPLES R CHINA
关键词
asymptotically linear estimation; asymptotic efficiency; semiparametric model; generalized linear model;
D O I
10.1080/03610929608831741
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
Suppose that Y = f(X(tau)beta)+epsilon Here f is a smooth but unknown function, beta is a k x 1 parameter vector to be estimated and epsilon(i) is a random error with mean 0 and variance sigma(2). The asymptotically linear estimator of beta is constructed based on the model Y-i = f(X(i)(tau)beta)+epsilon(i), i = 1 ... n, when the density functions of epsilon and X are unknown.
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页码:937 / 945
页数:9
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