KMS Of Academy of mathematics and systems sciences, CAS
Semi-parametric small area inference in generalized semi-varying coefficient mixed effects models | |
Hu, Xuemei1,2; Yang, Weiming1 | |
2019-08-01 | |
发表期刊 | STATISTICAL PAPERS |
ISSN | 0932-5026 |
卷号 | 60期号:4页码:1039-1058 |
摘要 | We investigate semi-parametric small area inference in generalized semi-varying coefficient mixed effects models with application to longitudinal data. Combining the generalized profiled likelihood approaches for mixed effect models with kernel methods, we not only construct semi-parametric small area estimators, but also propose two test statistics for discriminating between a parametric mixed effects model and a generalized semi-varying coefficient mixed effects model. The critical values are estimated by a bootstrap procedure. The asymptotic theory for the methods is provided. Simulations exhibit the finite-sample performance for the proposed estimators and test statistics. These verify the feasibility and the excellent behavior of the methods for moderate sample sizes. |
关键词 | Semi-parametric inference Mixed effects models Bootstrap Generalized semi-varying coefficient mixed effects models Longitudinal data |
DOI | 10.1007/s00362-016-0862-8 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11101452] ; Ministry of Education Humanity Social Science Research Project of China[15YJC910002] ; Natural Science Foundation of CQ CSTC[cstc.2015jcyjA00017] ; Natural Science Foundation of CQ CSTC[cstc2015jcyjA00009] ; SCR of the Chongqing Municipal Education Commission[KJ1400613] ; National Basic Research Program of China (973 Program)[2011CB808000] ; Program for University Innovation Team of Chongqing[CXTDX201601026] ; National Social Science Foundation of China[13CTJ016] |
WOS研究方向 | Mathematics |
WOS类目 | Statistics & Probability |
WOS记录号 | WOS:000487070800002 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/35746 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Hu, Xuemei |
作者单位 | 1.Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Hu, Xuemei,Yang, Weiming. Semi-parametric small area inference in generalized semi-varying coefficient mixed effects models[J]. STATISTICAL PAPERS,2019,60(4):1039-1058. |
APA | Hu, Xuemei,&Yang, Weiming.(2019).Semi-parametric small area inference in generalized semi-varying coefficient mixed effects models.STATISTICAL PAPERS,60(4),1039-1058. |
MLA | Hu, Xuemei,et al."Semi-parametric small area inference in generalized semi-varying coefficient mixed effects models".STATISTICAL PAPERS 60.4(2019):1039-1058. |
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