Literature DB >> 23459083

A SIMULTANEOUS CONFIDENCE BAND FOR SPARSE LONGITUDINAL REGRESSION.

Shujie Ma1, Lijian Yang, Raymond J Carroll.   

Abstract

Functional data analysis has received considerable recent attention and a number of successful applications have been reported. In this paper, asymptotically simultaneous confidence bands are obtained for the mean function of the functional regression model, using piecewise constant spline estimation. Simulation experiments corroborate the asymptotic theory. The confidence band procedure is illustrated by analyzing CD4 cell counts of HIV infected patients.

Entities:  

Keywords:  B spline; Karhunen-Loève L2 representation; confidence band; functional data; knots; longitudinal data; strong approximation

Year:  2012        PMID： 23459083      PMCID： PMC3583240          DOI： 10.5705/ss.2010.034

Source DB:  PubMed          Journal:  Stat Sin        ISSN： 1017-0405            Impact factor:   1.261


  2 in total

1.  Joint modelling of paired sparse functional data using principal components.

Authors:  Lan Zhou; Jianhua Z Huang; Raymond J Carroll
Journal:  Biometrika       Date:  2008       Impact factor: 2.445

2.  Wavelet-based functional mixed models.

Authors:  Jeffrey S Morris; Raymond J Carroll
Journal:  J R Stat Soc Series B Stat Methodol       Date:  2006-04-01       Impact factor: 4.488
  2 in total
  9 in total

1.  Simultaneous Inference For The Mean Function Based on Dense Functional Data.

Authors:  Guanqun Cao; Lijian Yang; David Todem
Journal:  J Nonparametr Stat       Date:  2012-04-30       Impact factor: 1.231

2.  Generalized semiparametrically structured ordinal models.

Authors:  Gerhard Tutz
Journal:  Biometrics       Date:  2003-06       Impact factor: 2.571

3.  Spline Confidence Bands for Functional Derivatives.

Authors:  Guanqun Cao; Jing Wang; Li Wang; David Todem
Journal:  J Stat Plan Inference       Date:  2012-06-01       Impact factor: 1.111

4.  Unified inference for sparse and dense longitudinal models.

Authors:  Seonjin Kim; Zhibiao Zhao
Journal:  Biometrika       Date:  2013-03       Impact factor: 2.445

5.  Simple fixed-effects inference for complex functional models.

Authors:  So Young Park; Ana-Maria Staicu; Luo Xiao; Ciprian M Crainiceanu
Journal:  Biostatistics       Date:  2018-04-01       Impact factor: 5.899

6.  Fast Univariate Inference for Longitudinal Functional Models.

Authors:  Erjia Cui; Andrew Leroux; Ekaterina Smirnova; Ciprian M Crainiceanu
Journal:  J Comput Graph Stat       Date:  2021-08-04       Impact factor: 1.884

7.  Estimation and Inference in Generalized Additive Coefficient Models for Nonlinear Interactions with High-Dimensional Covariates.

Authors:  M A Shujie; Raymond J Carroll; Hua Liang; Shizhong Xu
Journal:  Ann Stat       Date:  2015-10       Impact factor: 4.028

8.  SiAM: A Hybrid of Single Index Models and Additive Models.

Authors:  Shujie Ma; Heng Lian; Hua Liang; Raymond J Carroll
Journal:  Electron J Stat       Date:  2017-05-29       Impact factor: 1.125

9.  MULTIVARIATE VARYING COEFFICIENT MODEL FOR FUNCTIONAL RESPONSES.

Authors:  Hongtu Zhu; Runze Li; Linglong Kong
Journal:  Ann Stat       Date:  2012-10-01       Impact factor: 4.028
  9 in total

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