메뉴 건너뛰기




Volumn 103, Issue 484, 2008, Pages 1556-1569

Variable selection in nonparametric varying-coefficient models for analysis of repeated measurements

Author keywords

Functional response; Longitudinal data; Nonparametric function estimation; Oracle property; Regularized estimation

Indexed keywords


EID: 70149083959     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214508000000788     Document Type: Article
Times cited : (272)

References (47)
  • 1
    • 0345099564 scopus 로고    scopus 로고
    • Identifying cooperativity among transcription factors controlling the cell cycle in yeast
    • Banerjee, N., and Zhang, M. Q. (2003), "Identifying Cooperativity Among Transcription Factors Controlling the Cell Cycle in Yeast," Nucleic Acids Research, 31, 7024-7031.
    • (2003) Nucleic Acids Research , vol.31 , pp. 7024-7031
    • Banerjee, N.1    Zhang, M.Q.2
  • 2
    • 33845678003 scopus 로고    scopus 로고
    • Regularization in statistics
    • with discussion
    • Bickel, P., and Li, B. (2006), "Regularization in Statistics" (with discussion), Test, 15, 271-344.
    • (2006) Test , vol.15 , pp. 271-344
    • Bickel, P.1    Li, B.2
  • 3
    • 34147179823 scopus 로고    scopus 로고
    • Clustering of genes into regulons using integrated modeling (CORIM
    • Chen, G., Jensen, S., and Stoeckert, C. (2007), "Clustering of Genes Into Regulons Using Integrated Modeling (CORIM)," Genome Biology, 8, 1, R4.
    • (2007) Genome Biology , vol.8 , Issue.1
    • Chen, G.1    Jensen, S.2    Stoeckert, C.3
  • 4
    • 1542783734 scopus 로고    scopus 로고
    • Smoothing spine estimation for varying coeficients models with repeated measured dependent variables
    • Chiang, C., Rice, J. A., andWu, C. O. (2001), "Smoothing Spine Estimation for Varying Coeficients Models With Repeated Measured Dependent Variables," Journal of the American Statistical Association, 96, 605-619.
    • (2001) Journal of the American Statistical Association , vol.96 , pp. 605-619
    • Chiang, C.1    Rice, J.A.2    Andwu, C.O.3
  • 8
    • 1542784498 scopus 로고    scopus 로고
    • Variable selection via nonconcave penalized likelihood and its oracle properties
    • Fan, J., and Li, R. (2001), "Variable Selection via Nonconcave Penalized Likelihood and Its Oracle Properties," Journal of the American Statistical Association, 96, 1348-1360.
    • (2001) Journal of the American Statistical Association , vol.96 , pp. 1348-1360
    • Fan, J.1    Li, R.2
  • 9
    • 4944267519 scopus 로고    scopus 로고
    • New estimation and model selection procedures for semiparametric modeling in longitudinal data analysis
    • - (2004), "New Estimation and Model Selection Procedures for Semiparametric Modeling in Longitudinal Data Analysis," Journal of the American Statistical Association, 99, 710-723.
    • (2004) Journal of the American Statistical Association , vol.99 , pp. 710-723
  • 10
    • 24344502730 scopus 로고    scopus 로고
    • On non-concave penalized likelihood with diverging number of parameters
    • Fan, J., and Peng, H. (2004), "On Non-Concave Penalized Likelihood With Diverging Number of Parameters," The Annals of Statistics, 32, 928-961.
    • (2004) The Annals of Statistics , vol.32 , pp. 928-961
    • Fan, J.1    Peng, H.2
  • 11
    • 0034355052 scopus 로고    scopus 로고
    • Functional linear models for longitudinal data
    • Ser. B
    • Fan, J., and Zhang, J.-T. (2000), "Functional Linear Models for Longitudinal Data," Journal of the Royal Statisitcal Society, Ser. B, 62, 303-322.
    • (2000) Journal of the Royal Statisitcal Society , vol.62 , pp. 303-322
    • Fan, J.1    Zhang, J.-T.2
  • 13
    • 33746302303 scopus 로고    scopus 로고
    • Nonparametric smoothing estimates of time-varying coefficient modelswith longitudinal data
    • Hoover, D. R., Rice, J. A., Wu, C. O., and Yang, L. (1998), "Nonparametric Smoothing Estimates of Time-Varying Coefficient ModelsWith Longitudinal Data," Biometrika, 85, 809-822.
    • (1998) Biometrika , vol.85 , pp. 809-822
    • Hoover, D.R.1    Rice, J.A.2    Wu, C.O.3    Yang, L.4
  • 14
    • 49949115667 scopus 로고    scopus 로고
    • Asymptotic properties of bridge estimators in sparse high-dimensional regression models
    • Huang, J., Horowitz, J. L., andMa, S. (2008), "Asymptotic Properties of Bridge Estimators in Sparse High-Dimensional Regression Models," The Annals of Statistics, 36, 587-613.
    • (2008) The Annals of Statistics , vol.36 , pp. 587-613
    • Huang, J.1    Horowitz, J.L.2    Ma, S.3
  • 15
    • 0242511218 scopus 로고    scopus 로고
    • Local asymptotics for polynomial spline regression
    • Huang, J. Z. (2003), "Local Asymptotics for Polynomial Spline Regression," The Annals of Statistics, 31, 1600-1635.
    • (2003) The Annals of Statistics , vol.31 , pp. 1600-1635
    • Huang, J.Z.1
  • 16
    • 34147222612 scopus 로고    scopus 로고
    • Estimation of large covariance matrices of longitudinal datawith basis function approximations
    • Huang, J. Z., Liu, L., and Liu, N. (2007), "Estimation of Large Covariance Matrices of Longitudinal DataWith Basis Function Approximations, " Journal of Computational and Graphical Statistics, 16, 189-209.
    • (2007) Journal of Computational and Graphical Statistics , vol.16 , pp. 189-209
    • Huang, J.Z.1    Liu, L.2    Liu, N.3
  • 17
    • 33644986127 scopus 로고    scopus 로고
    • Covariance selection and estimation via penalised normal likelihood
    • Huang, J. Z., Liu, N., Pourahmadi, M., and Liu, L. (2006), "Covariance Selection and Estimation via Penalised Normal Likelihood," Biometrika, 93, 85-98.
    • (2006) Biometrika , vol.93 , pp. 85-98
    • Huang, J.Z.1    Liu, N.2    Pourahmadi, M.3    Liu, L.4
  • 18
    • 0011799801 scopus 로고    scopus 로고
    • Varying-coefficient models and basis function approximation for the analysis of repeated measurements
    • Huang, J. Z.,Wu, C. O., and Zhou, L. (2002), "Varying-Coefficient Models and Basis Function Approximation for the Analysis of Repeated Measurements," Biometrika, 89, 111-128.
    • (2002) Biometrika , vol.89 , pp. 111-128
    • Huang, J.Z.1    Wu, C.O.2    Zhou, L.3
  • 19
    • 8644255231 scopus 로고    scopus 로고
    • Polynomial spline estimation and inference for varying coefficient models with longitudinal data
    • - (2004), "Polynomial Spline Estimation and Inference for Varying Coefficient Models With Longitudinal Data," Statistica Sinica, 14, 763-788.
    • (2004) Statistica Sinica , vol.14 , pp. 763-788
  • 20
    • 34547991098 scopus 로고    scopus 로고
    • Efficient estimation in marginal partially linear models for longitudinal/clustered data using splines
    • Huang, J. Z., Zhang, L., and Zhou, L. (2007), "Efficient Estimation in Marginal Partially Linear Models for Longitudinal/Clustered Data Using Splines," Scandinavian Journal of Statistics, 34, 451-477.
    • (2007) Scandinavian Journal of Statistics , vol.34 , pp. 451-477
    • Huang, J.Z.1    Zhang, L.2    Zhou, L.3
  • 21
    • 0023186650 scopus 로고
    • The multicenter aids cohort study: Rationale, organization and selected characteristics of the participants
    • Kaslow, R. A., Ostrow, D. G., Detels, R., Phair, J. P., Polk, B. F., and Rinaldo, C. R. (1987), "The Multicenter AIDS Cohort Study: Rationale, Organization and Selected Characteristics of the Participants," American Journal of Epidemiology, 126, 310-318.
    • (1987) American Journal of Epidemiology , vol.126 , pp. 310-318
    • Kaslow, R.A.1    Ostrow, D.G.2    Detels, R.3    Phair, J.P.4    Polk, B.F.5    Rinaldo, C.R.6
  • 23
    • 34547733991 scopus 로고    scopus 로고
    • Nonparametric model selection in hazard regression
    • Leng, C., and Zhang, H. H. (2007), "Nonparametric Model Selection in Hazard Regression," Journal of Nonparametric Statistics, 18, 417-429.
    • (2007) Journal of Nonparametric Statistics , vol.18 , pp. 417-429
    • Leng, C.1    Zhang, H.H.2
  • 24
    • 77649173768 scopus 로고
    • Longitudinal data analysis using generalized linear models
    • Liang, K. Y., and Zeger, S. L. (1986), "Longitudinal Data Analysis Using Generalized Linear Models," Biometrika, 73, 13-22.
    • (1986) Biometrika , vol.73 , pp. 13-22
    • Liang, K.Y.1    Zeger, S.L.2
  • 25
    • 1542427460 scopus 로고    scopus 로고
    • Nonparametric function estimation for clustered datawhen the predictor ismeasuredwithout/with error
    • Lin, X., and Carroll, R. J. (2000), "Nonparametric Function Estimation for Clustered DataWhen the Predictor IsMeasuredWithout/With Error," Journal of the American Statistical Association, 95, 520-534.
    • (2000) Journal of the American Statistical Association , vol.95 , pp. 520-534
    • Lin, X.1    Carroll, R.J.2
  • 26
    • 33847350805 scopus 로고    scopus 로고
    • Component selection and smoothing in smoothing spline analysis of variance models-cosso
    • Lin, Y., and Zhang, H. H. (2006), "Component Selection and Smoothing in Smoothing Spline Analysis of Variance Models-COSSO," The Annals of Statistics, 34, 2272-2297.
    • (2006) The Annals of Statistics , vol.34 , pp. 2272-2297
    • Lin, Y.1    Zhang, H.H.2
  • 27
    • 0037339264 scopus 로고    scopus 로고
    • Clustering of time-course gene expression data using a mixed-effectsmodelwith b-splines
    • Luan, Y., and Li, H. (2003), "Clustering of Time-Course Gene Expression Data Using a Mixed-EffectsModelWith B-Splines," Bioinformatics, 19, 474-482.
    • (2003) Bioinformatics , vol.19 , pp. 474-482
    • Luan, Y.1    Li, H.2
  • 29
    • 33745271377 scopus 로고    scopus 로고
    • Quadratic interference functions for varyibg coeficient models with longitudinal data
    • Qu, A., and Li, R. (2006), "Quadratic Interference Functions for Varyibg Coeficient Models With Longitudinal Data," Biometrics, 62, 379-391.
    • (2006) Biometrics , vol.62 , pp. 379-391
    • Qu, A.1    Li, R.2
  • 30
    • 8644231058 scopus 로고    scopus 로고
    • Functional and longitudinal data analysis: Perspectives on smoothing
    • Rice, J. A. (2004), "Functional and Longitudinal Data Analysis: Perspectives on Smoothing," Statistica Sinica, 14, 631-647.
    • (2004) Statistica Sinica , vol.14 , pp. 631-647
    • Rice, J.A.1
  • 31
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • Ser. B
    • Rice, J. A., and Silverman, B. W. (1991), "Estimating the Mean and Covariance Structure Nonparametrically When the Data Are Curves," Journal of the Royal Statistical Society, Ser. B, 53, 233-243.
    • (1991) Journal of the Royal Statistical Society , vol.53 , pp. 233-243
    • Rice, J.A.1    Silverman, B.W.2
  • 32
    • 0035106736 scopus 로고    scopus 로고
    • Nonparametric mixed effects models for unequally sampled noisy curves
    • Rice, J. A., and Wu, C. O. (2001), "Nonparametric Mixed Effects Models for Unequally Sampled Noisy Curves," Biometrics, 57, 253-259.
    • (2001) Biometrics , vol.57 , pp. 253-259
    • Rice, J.A.1    Wu, C.O.2
  • 36
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric regression
    • Stone, C. J. (1982), "Optimal Global Rates of Convergence for Nonparametric Regression," The Annals of Statistics, 10, 1348-1360.
    • (1982) The Annals of Statistics , vol.10 , pp. 1348-1360
    • Stone, C.J.1
  • 37
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • Ser. B
    • Tibshirani, R. J. (1996), "Regression Shrinkage and Selection via the Lasso," Journal of the Royal Statistical Society, Ser. B, 58, 267-288.
    • (1996) Journal of the Royal Statistical Society , vol.58 , pp. 267-288
    • Tibshirani, R.J.1
  • 38
    • 26444501081 scopus 로고    scopus 로고
    • Statistical methods for identifying yeast cell cycle transcription factors
    • Tsai, H. K., Lu, S. H. H., and Li, W. H. (2005), "Statistical Methods for Identifying Yeast Cell Cycle Transcription Factors," Proceedings of the National Academy of Sciences, 102, 13532-13537.
    • (2005) Proceedings of the National Academy of Sciences , vol.102 , pp. 13532-13537
    • Tsai, H.K.1    Lu, S.H.H.2    Li, W.H.3
  • 39
    • 34547840186 scopus 로고    scopus 로고
    • Group scad regression analysis for microarray time course gene expression data
    • Wang, L., Chen, G., and Li, H. (2007), "Group SCAD Regression Analysis for Microarray Time Course Gene Expression Data," Bioinformatics, 23, 1486- 1494.
    • (2007) Bioinformatics , vol.23 , pp. 1486-1494
    • Wang, L.1    Chen, G.2    Li, H.3
  • 40
    • 0034399378 scopus 로고    scopus 로고
    • Kernel smoothing on varying coeficient models with longitudinal dependent variable
    • Wu, C. O., and Chiang, C.-T. (2000), "Kernel Smoothing on Varying Coeficient Models With Longitudinal Dependent Variable," Statistica Sinica, 10, 433- 456.
    • (2000) Statistica Sinica , vol.10 , pp. 433-456
    • Wu, C.O.1    Chiang, C.-T.2
  • 41
    • 3843104546 scopus 로고    scopus 로고
    • Nonparametric estimation of large covariance matrices of longitudinal data
    • Wu, W. B., and Pourahmadi, M. (2003), "Nonparametric Estimation of Large Covariance Matrices of Longitudinal Data," Biometrika, 90, 831-844.
    • (2003) Biometrika , vol.90 , pp. 831-844
    • Wu, W.B.1    Pourahmadi, M.2
  • 42
    • 33645035051 scopus 로고    scopus 로고
    • Model selection and estimation in regression with grouped variables
    • Ser. B
    • Yuan, M., and Lin, Y. (2006), "Model Selection and Estimation in Regression With Grouped Variables," Journal of the Royal Statistical Society, Ser. B, 68, 49-67.
    • (2006) Journal of the Royal Statistical Society , vol.68 , pp. 49-67
    • Yuan, M.1    Lin, Y.2
  • 43
    • 0028153316 scopus 로고
    • Semiparametric models for longitudinal data with application to cd4 cell numbers in hiv seroconverters
    • Zeger, S. L., and Diggle, P. J. (1994), "Semiparametric Models for Longitudinal Data With Application to CD4 Cell Numbers in HIV Seroconverters," Biometrics, 50, 689-699.
    • (1994) Biometrics , vol.50 , pp. 689-699
    • Zeger, S.L.1    Diggle, P.J.2
  • 44
    • 33746149382 scopus 로고    scopus 로고
    • Variable selection for support vector machines via smoothing spline anova
    • Zhang, H. (2006), "Variable Selection for Support Vector Machines via Smoothing Spline ANOVA," Statistica Sinica, 16, 659-674.
    • (2006) Statistica Sinica , vol.16 , pp. 659-674
    • Zhang, H.1
  • 45
    • 33750973351 scopus 로고    scopus 로고
    • Component selection and smoothing for nonparametric regression in exponential families
    • Zhang, H., and Lin, Y. (2006), "Component Selection and Smoothing for Nonparametric Regression in Exponential Families," Statistica Sinica, 16, 1021- 1042.
    • (2006) Statistica Sinica , vol.16 , pp. 1021-1042
    • Zhang, H.1    Lin, Y.2
  • 46
  • 47
    • 16244401458 scopus 로고    scopus 로고
    • Regularization and variable selection via the elastic net
    • Ser. B
    • Zou, H., and Hastie, T. (2005), "Regularization and Variable Selection via the Elastic Net," Journal of the Royal Statistical Society, Ser. B, 67, 301-320.
    • (2005) Journal of the Royal Statistical Society , vol.67 , pp. 301-320
    • Zou, H.1    Hastie, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.