메뉴 건너뛰기




Volumn 38, Issue 2, 2010, Pages 1194-1226

Covariate adjusted functional principal components analysis for longitudinal data

Author keywords

Functional data analysis; Functional principal components analysis; Local linear regression; Longitudinal data analysis; Smoothing; Sparse data

Indexed keywords


EID: 77649322081     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-AOS742     Document Type: Article
Times cited : (61)

References (32)
  • 1
    • 0001181674 scopus 로고
    • Principal components analysis of sampled functions
    • BESSE, P. and RAMSAY, J. (1986). Principal components analysis of sampled functions. Psychometrika 51 285-311.
    • (1986) Psychometrika , vol.51 , pp. 285-311
    • Besse, P.1    Ramsay, J.2
  • 2
    • 0001397792 scopus 로고
    • Asymptotics for nonparametric regression
    • BHATTACHARYA, P. K. and MÜLLER, H. G. (1993). Asymptotics for nonparametric regression. Sankhyā Ser. A 55 420-441.
    • (1993) Sankhyā Ser. A , vol.55 , pp. 420-441
    • Bhattacharya, P.K.1    Müller, H.G.2
  • 3
    • 0010741912 scopus 로고    scopus 로고
    • Kernel-based functional principal components
    • BOENTE, G. and FRAIMAN, R. (2000). Kernel-based functional principal components. Statist. Probab. Lett. 48 335-345.
    • (2000) Statist. Probab. Lett. , vol.48 , pp. 335-345
    • Boente, G.1    Fraiman, R.2
  • 5
    • 0001469917 scopus 로고    scopus 로고
    • Nonparametric estimation of smoothed principal components analysis of sampled noisy functions
    • CARDOT, H. (2000). Nonparametric estimation of smoothed principal components analysis of sampled noisy functions. J. Nonparametr. Stat. 12 503-538.
    • (2000) J. Nonparametr. Stat. , vol.12 , pp. 503-538
    • Cardot, H.1
  • 6
    • 34547277358 scopus 로고    scopus 로고
    • Conditional functional principal components analysis
    • CARDOT, H. (2006). Conditional functional principal components analysis. Scand. J. Statist. 34 317-335.
    • (2006) Scand. J. Statist. , vol.34 , pp. 317-335
    • Cardot, H.1
  • 7
    • 26244435557 scopus 로고    scopus 로고
    • Biodemography of a long-lived tephritid: Reproduction and longevity in a large cohort of female mexican fruit flies, Anastrepha ludens
    • CAREY, J. R., LIEDO, P., MÜLLER, H. G., WANG, J. L., SENTÜRK, D. and HARSHMAN, L. (2005). Biodemography of a long-lived tephritid: Reproduction and longevity in a large cohort of female mexican fruit flies, Anastrepha Ludens. Experimental Gerontology 40 793-800.
    • (2005) Experimental Gerontology , vol.40 , pp. 793-800
    • Carey, J.R.1    Liedo, P.2    Müller, H.G.3    Wang, J.L.4    Sentürk, D.5    Harshman, L.6
  • 8
    • 0022806525 scopus 로고
    • Principal modes of variation for processes with continuous sample curves
    • CASTRO, P. E., LAWTON, W. H. and SYLVESTRE, E. A. (1986). Principal modes of variation for processes with continuous sample curves. Technometrics 28 329-337.
    • (1986) Technometrics , vol.28 , pp. 329-337
    • Castro, P.E.1    Lawton, W.H.2    Sylvestre, E.A.3
  • 10
    • 0000957849 scopus 로고
    • Asymptotic theory for the principal component analysis of a vector random function: Some applications of statistical inference
    • DAUXOIS, J., POUSSE, A. and ROMAIN, Y. (1982). Asymptotic theory for the principal component analysis of a vector random function: Some applications of statistical inference. J. Multivariate Anal. 12 136-154.
    • (1982) J. Multivariate Anal. , vol.12 , pp. 136-154
    • Dauxois, J.1    Pousse, A.2    Romain, Y.3
  • 13
    • 0036185675 scopus 로고    scopus 로고
    • Funcitonal mixed effects models
    • GUO, W. (2002). Funcitonal mixed effects models. Biometrics 58 121-128.
    • (2002) Biometrics , vol.58 , pp. 121-128
    • Guo, W.1
  • 15
    • 33747153005 scopus 로고    scopus 로고
    • Properties of principal component methods for functional and longitudinal data analysis
    • HALL, P., MÜLLER, H.-G. and WANG, J.-L. (2006). Properties of principal component methods for functional and longitudinal data analysis. Ann. Statist. 34 1493-1517.
    • (2006) Ann. Statist. , vol.34 , pp. 1493-1517
    • Hall, P.1    Müller, H.-G.2    Wang, J.-L.3
  • 16
    • 0001699048 scopus 로고    scopus 로고
    • Principal components models for sparse functional data
    • JAMES, G. M., HASTIE, T. J. and SUGER, C. A. (2000). Principal components models for sparse functional data. Biometrika 87 587-602.
    • (2000) Biometrika , vol.87 , pp. 587-602
    • James, G.M.1    Hastie, T.J.2    Suger, C.A.3
  • 17
    • 1542678851 scopus 로고    scopus 로고
    • Inference for Density Families Using Functional Principal Component Analysis
    • KNEIP, A. and UTIKAL, K. (2001). Inference for density families using functional principal component analysis. J. Amer. Statist. Assoc. 96 519-532. (Pubitemid 33695614)
    • (2001) Journal of the American Statistical Association , vol.96 , Issue.454 , pp. 519-532
    • Kneip, A.1    Utikal, K.J.2
  • 19
    • 68649118122 scopus 로고    scopus 로고
    • Consistency of restricted maximum likelihood estimators of principal components
    • PAUL, D. and PENG, J. (2009). Consistency of restricted maximum likelihood estimators of principal components. Ann. Statist. 37 1229-1271.
    • (2009) Ann. Statist. , vol.37 , pp. 1229-1271
    • Paul, D.1    Peng, J.2
  • 20
    • 72449195207 scopus 로고    scopus 로고
    • A geometric approach to maximum likelihood estimation of the functional principal components from sparse longitudinal data
    • In press
    • PENG, J. and PAUL, D. (2009). A geometric approach to maximum likelihood estimation of the functional principal components from sparse longitudinal data. J. Comput. Graph. Statist. In press.
    • (2009) J. Comput. Graph. Statist
    • Peng, J.1    Paul, D.2
  • 23
    • 0002289285 scopus 로고
    • Some statistical methods for comparison of growth curves
    • RAO, C. R. (1958). Some statistical methods for comparison of growth curves. Biometrics 14 1-17.
    • (1958) Biometrics , vol.14 , pp. 1-17
    • Rao, C.R.1
  • 24
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • RICE, J. and SILVERMAN, B. (1991). Estimating the mean and covariance structure nonparametrically when the data are curves. J. Roy. Statist. Soc. Ser. B 53 233-243.
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 233-243
    • Rice, J.1    Silverman, B.2
  • 25
    • 8644231058 scopus 로고    scopus 로고
    • Functional and longitudinal data analysis: Prospectives on smoothing
    • RICE, J. A. (2004). Functional and longitudinal data analysis: Prospectives on smoothing. Statist. Sinica 14 631-647.
    • (2004) Statist. Sinica , vol.14 , pp. 631-647
    • Rice, J.A.1
  • 26
    • 0035106736 scopus 로고    scopus 로고
    • Nonparametric mixed effects models for unequally sampled noisy curves
    • RICE, J. A. andWU, C. (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.2
  • 30
    • 33750000042 scopus 로고    scopus 로고
    • Asymptotic distributions of nonparametric regression estimators for longitudinal of functional data
    • YAO, F. (2007). Asymptotic distributions of nonparametric regression estimators for longitudinal of functional data. J. Multivariate Anal. 98 40-56.
    • (2007) J. Multivariate Anal. , vol.98 , pp. 40-56
    • Yao, F.1
  • 31
    • 19744375466 scopus 로고    scopus 로고
    • Functional data analysis for sparse longitudinal data
    • YAO, F.,MÜLLER, H.-G. andWANG, J.-L. (2005). Functional data analysis for sparse longitudinal data. J. Amer. Statist. Assoc. 100 577-590.
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 577-590
    • Yao, F.1    Müller, H.-G.2    Wang, J.-L.3
  • 32
    • 0032390647 scopus 로고    scopus 로고
    • Semiparametric stochastic mixed models for longitudinal data
    • ZHANG, D., LIN, X., RAZ, J. and SOWERS, F. (1998). Semiparametric stochastic mixed models for longitudinal data. J. Amer. Statist. Assoc. 93 710-719.
    • (1998) J. Amer. Statist. Assoc. , vol.93 , pp. 710-719
    • Zhang, D.1    Lin, X.2    Raz, J.3    Sowers, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.