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Volumn 6, Issue 1, 2010, Pages

Fast function-on-scalar regression with penalized basis expansions

Author keywords

cross validation; functional connectivity; functional data analysis; functional linear model; smoothing parameters; varying coefficient model

Indexed keywords

ALGORITHM; ARTICLE; CONFIDENCE INTERVAL; CORRELATION COEFFICIENT; FUNCTIONAL MAGNETIC RESONANCE IMAGING; PENALIZED BASIS EXPANSION; REGRESSION ANALYSIS; ADULT; AGE; CANADA; COMPARATIVE STUDY; FEMALE; HUMAN; MALE; MIDDLE AGED; NUCLEAR MAGNETIC RESONANCE IMAGING; STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICS; WEATHER;

EID: 77956302041     PISSN: 15574679     EISSN: None     Source Type: Journal    
DOI: 10.2202/1557-4679.1246     Document Type: Article
Times cited : (117)

References (39)
  • 3
    • 0002799895 scopus 로고
    • Adaptive multivariate ridge regression
    • Brown, P. J., and Zidek, J. V. (1980). Adaptive multivariate ridge regression. Annals of Statistics 8, 64-74.
    • (1980) Annals of Statistics , vol.8 , pp. 64-74
    • Brown, P.J.1    Zidek, J.V.2
  • 4
    • 0032356568 scopus 로고    scopus 로고
    • Smoothing spline models for the analysis of nested and crossed samples of curves
    • Brumback, B. A., and Rice, J. A. (1998). Smoothing spline models for the analysis of nested and crossed samples of curves. Journal of the American Statistical Association 93, 961-976.
    • (1998) Journal of the American Statistical Association , vol.93 , pp. 961-976
    • Brumback, B.A.1    Rice, J.A.2
  • 5
    • 33749415690 scopus 로고    scopus 로고
    • Functional ANOVA with random functional effects: An application to event-related potentials modelling for electroencephalograms analysis
    • Bugli, C., and Lambert, P. (2006). Functional ANOVA with random functional effects: an application to event-related potentials modelling for electroencephalograms analysis. Statistics in Medicine 25, 3718-3739.
    • (2006) Statistics in Medicine , vol.25 , pp. 3718-3739
    • Bugli, C.1    Lambert, P.2
  • 8
    • 8644248383 scopus 로고    scopus 로고
    • Restricted likelihood ratio tests in nonparametric longitudinal models
    • Crainiceanu, C. M., and Ruppert, D. (2004). Restricted likelihood ratio tests in nonparametric longitudinal models. Statistica Sinica 14, 713-729.
    • (2004) Statistica Sinica , vol.14 , pp. 713-729
    • Crainiceanu, C.M.1    Ruppert, D.2
  • 9
    • 0038807496 scopus 로고    scopus 로고
    • A note on P-spline additive models with correlated errors
    • Durban, M., and Currie, I. D. (2003). A note on P-spline additive models with correlated errors. Computational Statistics 18, 251-262.
    • (2003) Computational Statistics , vol.18 , pp. 251-262
    • Durban, M.1    Currie, I.D.2
  • 11
    • 0034355052 scopus 로고    scopus 로고
    • Two-step estimation of functional linear models with applications to longitudinal data
    • Fan, J., and Zhang, J.-T. (2000). Two-step estimation of functional linear models with applications to longitudinal data. Journal of the Royal Statistical Society, Series B 62, 303-322.
    • (2000) Journal of the Royal Statistical Society, Series B , vol.62 , pp. 303-322
    • Fan, J.1    Zhang, J.-T.2
  • 12
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed. Baltimore: Johns Hopkins University Press
    • Golub, G. H., and Van Loan, C. F. (1996). Matrix Computations, 3rd ed. Baltimore: Johns Hopkins University Press.
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 13
    • 0036185675 scopus 로고    scopus 로고
    • Functional mixed effects models
    • Guo, W. (2002). Functional mixed effects models. Biometrics 58, 121-128.
    • (2002) Biometrics , vol.58 , pp. 121-128
    • Guo, W.1
  • 14
    • 35348935022 scopus 로고    scopus 로고
    • Generalized functional ANOVA diagnostics for high- dimensional functions of dependent variables
    • Hooker, G. (2007). Generalized functional ANOVA diagnostics for high- dimensional functions of dependent variables. Journal of Computational and Graphical Statistics 16, 709-732.
    • (2007) Journal of Computational and Graphical Statistics , vol.16 , pp. 709-732
    • Hooker, G.1
  • 15
    • 33746302303 scopus 로고    scopus 로고
    • Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data
    • Hoover, D. R., Rice, J. A., Wu, C. O., and Yang, L. P. (1998). Nonparametric smoothing estimates of time-varying coefficient models with 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.P.4
  • 16
    • 8644255231 scopus 로고    scopus 로고
    • Polynomial spline estimation and inference for varying coefficient models with longitudinal data
    • Huang, J. Z., Wu, C. O., and Zhou, L. (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
    • Huang, J.Z.1    Wu, C.O.2    Zhou, L.3
  • 18
    • 0001652263 scopus 로고
    • Quantile smoothing splines
    • Koenker, R., Ng, P., and Portnoy, S. (1994). Quantile smoothing splines. Biometrika 81, 673-680.
    • (1994) Biometrika , vol.81 , pp. 673-680
    • Koenker, R.1    Ng, P.2    Portnoy, S.3
  • 19
    • 56049117204 scopus 로고    scopus 로고
    • Varying coefficient model with unknown within-subject covariance for analysis of tumor growth curves
    • Krafty, R. T., Gimotty, P. A., Holtz, D., Coukos, G., and Guo, W. (2008). Varying coefficient model with unknown within-subject covariance for analysis of tumor growth curves. Biometrics 64, 1023-1031.
    • (2008) Biometrics , vol.64 , pp. 1023-1031
    • Krafty, R.T.1    Gimotty, P.A.2    Holtz, D.3    Coukos, G.4    Guo, W.5
  • 21
    • 3543023777 scopus 로고    scopus 로고
    • Equivalent kernels of smoothing splines in nonparametric regression for clustered/longitudinal data
    • Lin, X., Wang, N., Welsh, A. H., and Carroll, R. J. (2004). Equivalent kernels of smoothing splines in nonparametric regression for clustered/longitudinal data. Biometrika 91,177-193.
    • (2004) Biometrika , vol.91 , pp. 177-193
    • Lin, X.1    Wang, N.2    Welsh, A.H.3    Carroll, R.J.4
  • 23
    • 77955569433 scopus 로고    scopus 로고
    • Wavelet modeling of functional random effects with application to human vision data
    • Ogden, R. T., and Greene, E. (2010). Wavelet modeling of functional random effects with application to human vision data. Journal of Statistical Planning and Inference 140, 3797-3808.
    • (2010) Journal of Statistical Planning and Inference , vol.140 , pp. 3797-3808
    • Ogden, R.T.1    Greene, E.2
  • 24
    • 84863304598 scopus 로고    scopus 로고
    • R: A language and environment for statistical computing
    • R Development Core Team Vienna, Austria. ISBN 3-900051-07-0, URL
    • R Development Core Team (2010). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org
    • (2010) R Foundation for Statistical Computing
  • 27
    • 62849093921 scopus 로고    scopus 로고
    • Smoothing parameter selection for a class of semiparametric linear models
    • Reiss, P. T., and Ogden, R. T. (2009). Smoothing parameter selection for a class of semiparametric linear models. Journal of the Royal Statistical Society, Series B 71,505-523.
    • (2009) Journal of the Royal Statistical Society, Series B , vol.71 , pp. 505-523
    • Reiss, P.T.1    Ogden, R.T.2
  • 28
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • 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, Series B 53, 233-243.
    • (1991) Journal of the Royal Statistical Society, Series B , vol.53 , pp. 233-243
    • Rice, J.A.1    Silverman, B.W.2
  • 31
    • 27844521293 scopus 로고    scopus 로고
    • A shrinkage approach to large-scale covari- ance matrix estimation and implications for functional genomics
    • article 32
    • Schafer, J., and Strimmer, K. (2005). A shrinkage approach to large-scale covari- ance matrix estimation and implications for functional genomics. Statistical Applications in Genetics and Molecular Biology 4, article 32.
    • (2005) Statistical Applications in Genetics and Molecular Biology , vol.4
    • Schafer, J.1    Strimmer, K.2
  • 32
    • 0000939344 scopus 로고
    • Bayesian "confidence intervals" for the cross-validated smoothing spline
    • Wahba, G. (1983). Bayesian "confidence intervals" for the cross-validated smoothing spline. Journal of the Royal Statistical Society, Series B 45,133-150.
    • (1983) Journal of the Royal Statistical Society, Series B , vol.45 , pp. 133-150
    • Wahba, G.1
  • 33
    • 0032336499 scopus 로고    scopus 로고
    • Smoothing spline models with correlated random errors
    • Wang, Y. (1998). Smoothing spline models with correlated random errors. Journal of the American Statistical Association 93, 341-348.
    • (1998) Journal of the American Statistical Association , vol.93 , pp. 341-348
    • Wang, Y.1
  • 35
    • 33845633752 scopus 로고    scopus 로고
    • On confidence intervals for generalized additive models based on penalized regression splines
    • Wood, S. N. (2006b). On confidence intervals for generalized additive models based on penalized regression splines. Australian and New Zealand Journal of Statistics 48,445-464.
    • (2006) Australian and New Zealand Journal of Statistics , vol.48 , pp. 445-464
    • Wood, S.N.1
  • 38
    • 84946357749 scopus 로고
    • An efficient method of estimating seemingly unrelated regressions and tests for aggregation bias
    • Zellner, A. (1962). An efficient method of estimating seemingly unrelated regressions and tests for aggregation bias. Journal of the American Statistical Association 57, 348-368.
    • (1962) Journal of the American Statistical Association , vol.57 , pp. 348-368
    • Zellner, A.1
  • 39
    • 21144472438 scopus 로고
    • Model selection via multifold cross validation
    • Zhang, P. (1993). Model selection via multifold cross validation. Annals of Statistics 21, 299-313.
    • (1993) Annals of Statistics , vol.21 , pp. 299-313
    • Zhang, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.