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Semi-parametric small area inference in generalized semi-varying coefficient mixed effects models
Hu, Xuemei1,2; Yang, Weiming1
2019-08-01
Source PublicationSTATISTICAL PAPERS
ISSN0932-5026
Volume60Issue:4Pages:1039-1058
AbstractWe 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.
KeywordSemi-parametric inference Mixed effects models Bootstrap Generalized semi-varying coefficient mixed effects models Longitudinal data
DOI10.1007/s00362-016-0862-8
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000487070800002
PublisherSPRINGER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35746
Collection中国科学院数学与系统科学研究院
Corresponding AuthorHu, Xuemei
Affiliation1.Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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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