Statistical inference using a weighted difference-based series approach for partially linear regression models | |
Ai, Chunrong1,2; You, Jinhong1; Zhou, Yong1,3 | |
刊名 | JOURNAL OF MULTIVARIATE ANALYSIS |
2011-03 | |
卷号 | 102期号:3页码:601-618 |
关键词 | Partially linear model Fixed effects Difference-based method Series approximation Weighted estimation Covariate selection |
ISSN号 | 0047-259X |
DOI | 10.1016/j.jmva.2010.11.004 |
英文摘要 | Partially linear regression models with fixed effects are useful tools for making econometric analyses and normalizing microarray data. Baltagi and Li (2002) [7] proposed a computation friendly difference-based series estimation (DSE) for them. We show that the DSE is not asymptotically efficient in most cases and further propose a weighted difference-based series estimation (WDSE). The weights in it do not involve any unknown parameters. The asymptotic properties of the resulting estimators are established for both balanced and unbalanced cases, and it is shown that they achieve a semiparametric efficient boundary. Additionally, we propose a variable selection procedure for identifying significant covariates in the parametric part of the semiparametric fixed-effects regression model. The method is based on a combination of the nonconcave penalization (Fan and Li, 2001 [13]) and weighted difference-based series estimation techniques. The resulting estimators have the oracle property; that is, they can correctly identify the true model as if the true model (the subset of variables with nonvanishing coefficients) were known in advance. Simulation studies are conducted and an application is given to demonstrate the finite sample performance of the proposed procedures. (C) 2010 Elsevier Inc. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER INC |
WOS记录号 | WOS:000286684400014 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/2296] |
专题 | 上海财经大学 |
通讯作者 | You, Jinhong |
作者单位 | 1.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China; 2.Univ Florida, Dept Econ, Gainesville, FL 32611 USA; 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Ai, Chunrong,You, Jinhong,Zhou, Yong. Statistical inference using a weighted difference-based series approach for partially linear regression models[J]. JOURNAL OF MULTIVARIATE ANALYSIS,2011,102(3):601-618. |
APA | Ai, Chunrong,You, Jinhong,&Zhou, Yong.(2011).Statistical inference using a weighted difference-based series approach for partially linear regression models.JOURNAL OF MULTIVARIATE ANALYSIS,102(3),601-618. |
MLA | Ai, Chunrong,et al."Statistical inference using a weighted difference-based series approach for partially linear regression models".JOURNAL OF MULTIVARIATE ANALYSIS 102.3(2011):601-618. |
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