메뉴 건너뛰기




Volumn 108, Issue 504, 2013, Pages 1284-1294

Selecting the number of principal components in functional data

Author keywords

Akaike information criterion; Bayesian information criterion; Functional data analysis; Kernel smoothing; Model selection

Indexed keywords


EID: 84901791646     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.2013.788980     Document Type: Article
Times cited : (97)

References (24)
  • 1
    • 0036221554 scopus 로고    scopus 로고
    • Determining the Number of Factors in Approximate Factor Models
    • [1285,1288,1289,1293]
    • Bai, J., and Ng, S. (2002), "Determining the Number of Factors in Approximate Factor Models, " Econometrika, 70, 191-221. [1285,1288,1289,1293]
    • (2002) Econometrika , vol.70 , pp. 191-221
    • Bai, J.1    Ng, S.2
  • 2
    • 39849083922 scopus 로고    scopus 로고
    • Bayesian Hierarchical Spatially Correlated Functional Data Analysis With Application to Colon Carcinogenesis
    • [1291]
    • Baladandayuthapani, V., Mallick, B., Hong, M., Lupton, J., Turner, N., and Carroll, R. J. (2008), "Bayesian Hierarchical Spatially Correlated Functional Data Analysis With Application to Colon Carcinogenesis, " Biometrics, 64, 64-73. [1291]
    • (2008) Biometrics , vol.64 , pp. 64-73
    • Baladandayuthapani, V.1    Mallick, B.2    Hong, M.3    Lupton, J.4    Turner, N.5    Carroll, R.J.6
  • 3
    • 33847349358 scopus 로고    scopus 로고
    • Prediction in Functional Linear Regression
    • [1284,1293]
    • Cai, T., and Hall, P. (2006), "Prediction in Functional Linear Regression, " The Annals of Statistics, 34, 2159-2179. [1284,1293]
    • (2006) The Annals of Statistics , vol.34 , pp. 2159-2179
    • Cai, T.1    Hall, P.2
  • 7
    • 33747153005 scopus 로고    scopus 로고
    • Properties of Principal Component Methods for Functional and Longitudinal Data Analysis
    • [1284,1286,1289]
    • Hall, P., Müller, H.-G., and Wang, J.-L. (2006), "Properties of Principal Component Methods for Functional and Longitudinal Data Analysis, " The Annals of Statistics, 34, 1493-1517. [1284,1286,1289]
    • (2006) The Annals of Statistics , vol.34 , pp. 1493-1517
    • Hall, P.1    Müller, H.-G.2    Wang, J.-L.3
  • 8
  • 9
    • 0001354983 scopus 로고    scopus 로고
    • Smoothing Parameter Selection in Nonparametric Regression Using an Improved Akaike Information Criterion
    • [1287,1288,1293]
    • Hurvich, C. M., Simonoff, J. S., and Tsai, C. L. (1998), "Smoothing Parameter Selection in Nonparametric Regression Using an Improved Akaike Information Criterion, " Journal of the Royal Statistical Society, Series B, 60, 271-293. [1287,1288,1293]
    • (1998) Journal of the Royal Statistical Society, Series B , vol.60 , pp. 271-293
    • Hurvich, C.M.1    Simonoff, J.S.2    Tsai, C.L.3
  • 10
    • 70349119250 scopus 로고
    • Regression of Time Series Model Selection in Small Samples
    • [1287]
    • Hurvich, C. M., and Tsai, C. L. (1989), "Regression of Time Series Model Selection in Small Samples, " Biometrika, 76, 297-307. [1287]
    • (1989) Biometrika , vol.76 , pp. 297-307
    • Hurvich, C.M.1    Tsai, C.L.2
  • 11
    • 0035535702 scopus 로고    scopus 로고
    • Functional Linear Discriminant Analysis for Irregularly Sampled Curves
    • [1284]
    • James, G., and Hastie, T. (2001), "Functional Linear Discriminant Analysis for Irregularly Sampled Curves, " Journal of the Royal Statistical Society, Series B, 63, 533-550. [1284]
    • (2001) Journal of the Royal Statistical Society, Series B , vol.63 , pp. 533-550
    • James, G.1    Hastie, T.2
  • 12
    • 77957553245 scopus 로고    scopus 로고
    • Deciding the Dimension of Effective Dimension Reduction Space for Functional and High-Dimensional Data
    • [1284]
    • Li, Y., and Hsing, T. (2010a), "Deciding the Dimension of Effective Dimension Reduction Space for Functional and High-Dimensional Data, " The Annals of Statistics, 38, 3028-3062. [1284]
    • (2010) The Annals of Statistics , vol.38 , pp. 3028-3062
    • Li, Y.1    Hsing, T.2
  • 13
    • 78650108606 scopus 로고    scopus 로고
    • Uniform Convergence Rates for Nonparametric Regression and Principal Component Analysis in Functional/Longitudinal Data
    • [1285,1289]
    • Li, Y., and Hsing, T. (2010b), "Uniform Convergence Rates for Nonparametric Regression and Principal Component Analysis in Functional/Longitudinal Data, " The Annals of Statistics, 38, 3321-3351. [1285,1289]
    • (2010) The Annals of Statistics , vol.38 , pp. 3321-3351
    • Li, Y.1    Hsing, T.2
  • 14
    • 78649440047 scopus 로고    scopus 로고
    • Generalized Functional Linear Models With Semiparametric Single-Index Interactions
    • [1284,1291]
    • Li, Y., Wang, N., and Carroll, R. J. (2010), "Generalized Functional Linear Models With Semiparametric Single-Index Interactions, " Journal of the American Statistical Association, 105, 621-633. [1284,1291]
    • (2010) Journal of the American Statistical Association , vol.105 , pp. 621-633
    • Li, Y.1    Wang, N.2    Carroll, R.J.3
  • 15
    • 50449084238 scopus 로고    scopus 로고
    • Nonparametric Estimation of Correlation Functions in Spatial and Longitudinal Data, With Application to Colon Carcinogenesis Experiments
    • [1291]
    • Li, Y., Wang, N., Hong, M., Turner, N., Lupton, J., and Carroll. R. J. (2007), "Nonparametric Estimation of Correlation Functions in Spatial and Longitudinal Data, With Application to Colon Carcinogenesis Experiments, " The Annals of Statistics, 35, 1608-1643. [1291]
    • (2007) The Annals of Statistics , vol.35 , pp. 1608-1643
    • Li, Y.1    Wang, N.2    Hong, M.3    Turner, N.4    Lupton, J.5    Carroll, R.J.6
  • 17
    • 0442296631 scopus 로고    scopus 로고
    • Parametric and Nonparametric Methods for Understanding the Relationship Between Carcinogen-Induced DNA Adduct Levels in Distal and Proximal Regions of the Colon
    • [1291]
    • Morris, J. S., Wang, N., Lupton, J. R., Chapkin, R. S., Turner, N. D., Hong, M. Y., and Carroll, R. J. (2001), "Parametric and Nonparametric Methods for Understanding the Relationship Between Carcinogen-Induced DNA Adduct Levels in Distal and Proximal Regions of the Colon, " Journal of the American Statistical Association, 96, 816-826. [1291]
    • (2001) Journal of the American Statistical Association , vol.96 , pp. 816-826
    • Morris, J.S.1    Wang, N.2    Lupton, J.R.3    Chapkin, R.S.4    Turner, N.D.5    Hong, M.Y.6    Carroll, R.J.7
  • 18
  • 19
    • 84869062895 scopus 로고    scopus 로고
    • Description Length and Dimensionality Reduction in Functional Data Analysis
    • [1285,1289,1291]
    • Poskitt, D. S., and Sengarapillai, A. (2013), "Description Length and Dimensionality Reduction in Functional Data Analysis, " Computational Statistics & Data Analysis, 58, 98-113. [1285,1289,1291]
    • (2013) Computational Statistics & Data Analysis , vol.58 , pp. 98-113
    • Poskitt, D.S.1    Sengarapillai, A.2
  • 21
    • 0001597980 scopus 로고
    • Estimating the Mean and Covariance Structure Nonparametrically When the Data are Curves
    • [1284,1286]
    • Rice, J., and Silverman, B. (1991), "Estimating the Mean and Covariance Structure Nonparametrically When the Data are Curves, " Journal of the Royal Statistical Society, Series B, 53, 233-243. [1284,1286]
    • (1991) Journal of the Royal Statistical Society, Series B , vol.53 , pp. 233-243
    • Rice, J.1    Silverman, B.2
  • 23
    • 19744369661 scopus 로고    scopus 로고
    • Functional Linear Regression Analysis for Longitudinal Data
    • [1284]
    • Yao, F., Müller, H. G., and Wang, J. L. (2005b), "Functional Linear Regression Analysis for Longitudinal Data, " The Annals of Statistics, 33, 2873-2903. [1284]
    • (2005) The Annals of Statistics , vol.33 , pp. 2873-2903
    • Yao, F.1    Müller, H.G.2    Wang, J.L.3
  • 24
    • 50949116957 scopus 로고    scopus 로고
    • Joint Modelling of Paired Sparse Functional Data Using Principal Components
    • [1284]
    • Zhou, L., Huang, J. Z., and Carroll, R. J. (2008), "Joint Modelling of Paired Sparse Functional Data Using Principal Components, " Biometrika, 95, 601-619. [1284]
    • (2008) Biometrika , vol.95 , pp. 601-619
    • Zhou, L.1    Huang, J.Z.2    Carroll, R.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.