M-Estimator of a Generalized Linear Model with Measurement Errors
被引:1
|
作者:
Huang, Yujie
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机构:
Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Anshan Normal Univ, Dept Math, Anshan, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Huang, Yujie
[1
,2
]
Song, Lixin
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机构:
Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Song, Lixin
[1
]
机构:
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Anshan Normal Univ, Dept Math, Anshan, Peoples R China
Asymptotic normality;
Consistency;
Generalized linear model;
M-estimator;
RESPONSE BIAS;
REGRESSION;
D O I:
10.1080/03610920903411226
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:
In this article, we propose a generalized linear model and estimate the unknown parameters using robust M-estimator. Under suitable conditions and by the strong law of large numbers and central limits theorem, the proposed M-estimators are proved to be consistent and asymptotically normal. We also evaluate the finite sample performance of our estimator through a Monte Carlo study.
机构:
Univ Hong Kong, Dept Stat & Actuarial Sci, Run Run Shaw Bldg,Pokfulam Rd, Hong Kong, Peoples R ChinaUniv Hong Kong, Dept Stat & Actuarial Sci, Run Run Shaw Bldg,Pokfulam Rd, Hong Kong, Peoples R China
Gu, Jiaqi
Fan, Yiwei
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机构:
Univ Hong Kong, Dept Stat & Actuarial Sci, Run Run Shaw Bldg,Pokfulam Rd, Hong Kong, Peoples R ChinaUniv Hong Kong, Dept Stat & Actuarial Sci, Run Run Shaw Bldg,Pokfulam Rd, Hong Kong, Peoples R China
Fan, Yiwei
Yin, Guosheng
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机构:
Univ Hong Kong, Dept Stat & Actuarial Sci, Run Run Shaw Bldg,Pokfulam Rd, Hong Kong, Peoples R ChinaUniv Hong Kong, Dept Stat & Actuarial Sci, Run Run Shaw Bldg,Pokfulam Rd, Hong Kong, Peoples R China
机构:
Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, MN 55455, United StatesInstitute for Mathematics and Its Applications, University of Minnesota, Minneapolis, MN 55455, United States
Zhang, Teng
Lerman, Gilad
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机构:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United StatesInstitute for Mathematics and Its Applications, University of Minnesota, Minneapolis, MN 55455, United States