ARMA process;
regression;
least absolute deviation estimation;
central limit theorem;
D O I:
10.1023/A:1022620818679
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:
The asymptotic normality for least absolute deviation estimates of the parameters in a linear regression model with autoregressive moving average errors is established under very general conditions. The method of proof is based on a functional limit theorem for the LAD objective function.
机构:
Nanyang Technol Univ, Singapore 639798, SingaporeUniv Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China
Li, Guodong
Li, Wai Keung
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机构:
Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R ChinaUniv Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China
机构:
China Agr Univ, Coll Sci, Beijing 100083, Peoples R ChinaChina Agr Univ, Coll Sci, Beijing 100083, Peoples R China
Wang, Kuaini
Zhang, Jingjing
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机构:
China Agr Univ, Coll Sci, Beijing 100083, Peoples R ChinaChina Agr Univ, Coll Sci, Beijing 100083, Peoples R China
Zhang, Jingjing
Chen, Yanyan
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机构:
China Agr Univ, Coll Sci, Beijing 100083, Peoples R China
Beijing Union Univ, Coll Appl Sci & Technol, Beijing 102200, Peoples R ChinaChina Agr Univ, Coll Sci, Beijing 100083, Peoples R China
Chen, Yanyan
Zhong, Ping
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机构:
China Agr Univ, Coll Sci, Beijing 100083, Peoples R ChinaChina Agr Univ, Coll Sci, Beijing 100083, Peoples R China
机构:
School of Statistics, Qufu Normal University, Jingxuan West Road, Qufu, Shandong, ChinaSchool of Statistics, Qufu Normal University, Jingxuan West Road, Qufu, Shandong, China
Wang, Wen Wu
Yu, Ping
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机构:
Faculty of Business and Economics, University of Hong Kong, Pokfulam Road, Hong Kong, Hong KongSchool of Statistics, Qufu Normal University, Jingxuan West Road, Qufu, Shandong, China
Yu, Ping
Lin, Lu
论文数: 0引用数: 0
h-index: 0
机构:
Zhongtai Securities Institute for Financial Studies, Shandong University, Jinan, Shandong, ChinaSchool of Statistics, Qufu Normal University, Jingxuan West Road, Qufu, Shandong, China
Lin, Lu
Tong, Tiejun
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机构:
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong KongSchool of Statistics, Qufu Normal University, Jingxuan West Road, Qufu, Shandong, China
机构:
Qufu Normal Univ, Sch Stat, Jingxuan West Rd, Qufu, Shandong, Peoples R ChinaQufu Normal Univ, Sch Stat, Jingxuan West Rd, Qufu, Shandong, Peoples R China
Wang, WenWu
Yu, Ping
论文数: 0引用数: 0
h-index: 0
机构:
Univ Hong Kong, Fac Business & Econ, Pokfulam Rd, Hong Kong, Peoples R ChinaQufu Normal Univ, Sch Stat, Jingxuan West Rd, Qufu, Shandong, Peoples R China
Yu, Ping
Lin, Lu
论文数: 0引用数: 0
h-index: 0
机构:
Shandong Univ, Zhongtai Secur Inst Financial Studies, Jinan, Shandong, Peoples R ChinaQufu Normal Univ, Sch Stat, Jingxuan West Rd, Qufu, Shandong, Peoples R China
Lin, Lu
Tong, Tiejun
论文数: 0引用数: 0
h-index: 0
机构:
Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R ChinaQufu Normal Univ, Sch Stat, Jingxuan West Rd, Qufu, Shandong, Peoples R China