메뉴 건너뛰기




Volumn 30, Issue 2, 2015, Pages 539-568

Penalized function-on-function regression

Author keywords

Functional data analysis; Functional regression model; Mixed model; Multiple functional predictors; Penalized splines; Tractography data

Indexed keywords


EID: 84930948325     PISSN: 09434062     EISSN: 16139658     Source Type: Journal    
DOI: 10.1007/s00180-014-0548-4     Document Type: Article
Times cited : (121)

References (50)
  • 1
    • 2542638467 scopus 로고    scopus 로고
    • Forecasting with unequally spaced data by a functional principal component approach
    • Aguilera A, Ocaña F, Valderrama M (1999) Forecasting with unequally spaced data by a functional principal component approach. Test 8(1):233–253
    • (1999) Test , vol.8 , Issue.1 , pp. 233-253
    • Aguilera, A.1    Ocaña, F.2    Valderrama, M.3
  • 2
    • 40849085713 scopus 로고    scopus 로고
    • Nonparametric time series prediction: a semi-functional partial linear modeling
    • Aneiros-Pérez G, Vieu P (2008) Nonparametric time series prediction: a semi-functional partial linear modeling. J Multivar Anal 99:834–857
    • (2008) J Multivar Anal , vol.99 , pp. 834-857
    • Aneiros-Pérez, G.1    Vieu, P.2
  • 3
    • 0028154030 scopus 로고
    • MR diffusion tensor spectroscopy and imaging
    • Basser P, Mattiello J, LeBihan D (1994) MR diffusion tensor spectroscopy and imaging. Biophys J 66:259–267
    • (1994) Biophys J , vol.66 , pp. 259-267
    • Basser, P.1    Mattiello, J.2    LeBihan, D.3
  • 5
    • 79961039284 scopus 로고    scopus 로고
    • Adaptive inference for the mean of a Gaussian process in functional data
    • Bunea F, Ivanescu AE, Wegkamp MH (2011) Adaptive inference for the mean of a Gaussian process in functional data. J R Stat Soc Ser B 73(4):531–558
    • (2011) J R Stat Soc Ser B , vol.73 , Issue.4 , pp. 531-558
    • Bunea, F.1    Ivanescu, A.E.2    Wegkamp, M.H.3
  • 6
    • 69249171674 scopus 로고    scopus 로고
    • Asymptotic properties of penalized splines estimators
    • Claeskens G, Krivobokova T, Opsomer JD (2009) Asymptotic properties of penalized splines estimators. Biometrika 96(3):529–544
    • (2009) Biometrika , vol.96 , Issue.3 , pp. 529-544
    • Claeskens, G.1    Krivobokova, T.2    Opsomer, J.D.3
  • 8
    • 1042279287 scopus 로고    scopus 로고
    • Likelihood ratio tests in linear mixed models with one variance component
    • Crainiceanu CM, Ruppert D (2004) Likelihood ratio tests in linear mixed models with one variance component. J R Stat Soc Ser B 66(1):165–185
    • (2004) J R Stat Soc Ser B , vol.66 , Issue.1 , pp. 165-185
    • Crainiceanu, C.M.1    Ruppert, D.2
  • 9
    • 74049164111 scopus 로고    scopus 로고
    • Generalized multilevel functional regression
    • Crainiceanu CM, Staicu A-M, Di C (2009) Generalized multilevel functional regression. J Am Stat Assoc 104(488):177–194
    • (2009) J Am Stat Assoc , vol.104 , Issue.488 , pp. 177-194
    • Crainiceanu, C.M.1    Staicu, A.-M.2    Di, C.3
  • 10
    • 25444532788 scopus 로고    scopus 로고
    • Flexible smoothing with B-splines and penalties
    • Eilers P, Marx B (1996) Flexible smoothing with B-splines and penalties. Stat Sci 11(2):89–121
    • (1996) Stat Sci , vol.11 , Issue.2 , pp. 89-121
    • Eilers, P.1    Marx, B.2
  • 11
    • 0033849266 scopus 로고    scopus 로고
    • Regional axonal loss in the corpus callosum correlates with cerebral white matter lesion volume and distribution in multiple sclerosis
    • Evangelou N, Konz D, Esiri MM, Smith S, Palace J, Matthews PM (2000) Regional axonal loss in the corpus callosum correlates with cerebral white matter lesion volume and distribution in multiple sclerosis. Brain 123(9):1845–1849
    • (2000) Brain , vol.123 , Issue.9 , pp. 1845-1849
    • Evangelou, N.1    Konz, D.2    Esiri, M.M.3    Smith, S.4    Palace, J.5    Matthews, P.M.6
  • 12
    • 85116180135 scopus 로고    scopus 로고
    • Jank W: Functional response additive model estimation with online virtual stock markets. Ann Appl Stat
    • Fan Y, Foutz N, James GM, Jank W (2014) Functional response additive model estimation with online virtual stock markets. Ann Appl Stat, To appear
    • (2014) James GM
    • Fan, Y.1    Foutz, N.2
  • 14
    • 84858233847 scopus 로고    scopus 로고
    • Regression when both response and predictor are functions
    • Ferraty F, Van Keilegom I, Vieu P (2012) Regression when both response and predictor are functions. J Multivar Anal 109:10–28
    • (2012) J Multivar Anal , vol.109 , pp. 10-28
    • Ferraty, F.1    Van Keilegom, I.2    Vieu, P.3
  • 16
    • 58549087708 scopus 로고    scopus 로고
    • Additive prediction and boosting for functional data
    • Ferraty F, Vieu P (2009) Additive prediction and boosting for functional data. Comput Stat Data Anal 53:1400–1413
    • (2009) Comput Stat Data Anal , vol.53 , pp. 1400-1413
    • Ferraty, F.1    Vieu, P.2
  • 19
    • 64249145967 scopus 로고    scopus 로고
    • Restricted likelihood ratio testing for zero variance components in linear mixed models
    • Greven S, Crainiceanu CM, Küchenhoff H, Peters A (2008) Restricted likelihood ratio testing for zero variance components in linear mixed models. J Comput Graph Stat 17(4):870–891
    • (2008) J Comput Graph Stat , vol.17 , Issue.4 , pp. 870-891
    • Greven, S.1    Crainiceanu, C.M.2    Küchenhoff, H.3    Peters, A.4
  • 20
    • 77957588988 scopus 로고    scopus 로고
    • Functional linear regression via canonical analysis
    • He G, Müller H-G, Wang J-L, Wang W (2010) Functional linear regression via canonical analysis. Bernoulli 16(3):705–729
    • (2010) Bernoulli , vol.16 , Issue.3 , pp. 705-729
    • He, G.1    Müller, H.-G.2    Wang, J.-L.3    Wang, W.4
  • 22
    • 84880946754 scopus 로고    scopus 로고
    • Bayesian scalar-on-image regression with application to association between intracranial DTI and cognitive outcomes
    • Huang L, Goldsmith J, Reiss PT, Reich DS, Crainiceanu CM (2013) Bayesian scalar-on-image regression with application to association between intracranial DTI and cognitive outcomes. NeuroImage 83:210–223
    • (2013) NeuroImage , vol.83 , pp. 210-223
    • Huang, L.1    Goldsmith, J.2    Reiss, P.T.3    Reich, D.S.4    Crainiceanu, C.M.5
  • 24
    • 38349052045 scopus 로고    scopus 로고
    • A note on penalized spline smoothing with correlated errors
    • Krivobokova T, Kauermann G (2007) A note on penalized spline smoothing with correlated errors. JASA 102(480):1328–1337
    • (2007) JASA , vol.102 , Issue.480 , pp. 1328-1337
    • Krivobokova, T.1    Kauermann, G.2
  • 25
    • 84871997442 scopus 로고    scopus 로고
    • Functional causal mediation analysis with an application to brain connectivity
    • Lindquist MA (2012) Functional causal mediation analysis with an application to brain connectivity. J Am Stat Assoc 107(500):1297–1309
    • (2012) J Am Stat Assoc , vol.107 , Issue.500 , pp. 1297-1309
    • Lindquist, M.A.1
  • 26
    • 84930945819 scopus 로고    scopus 로고
    • Regularized functional regression modeling for functional response and predictors
    • Matsui H, Kawano S, Konishi S (2009) Regularized functional regression modeling for functional response and predictors. J Math Ind 1(3):17–25
    • (2009) J Math Ind , vol.1 , Issue.3 , pp. 17-25
    • Matsui, H.1    Kawano, S.2    Konishi, S.3
  • 28
    • 70350656956 scopus 로고    scopus 로고
    • Natick. Massachusetts: United States
    • Matlab, The MathWorks Inc. (2014) Natick. Massachusetts, United States
    • (2014) The MathWorks Inc
  • 29
    • 33845606053 scopus 로고
    • Confidence intervals for smoothing splines
    • Nychka D (1988) Confidence intervals for smoothing splines. J Am Stat Assoc 83:1134–1143
    • (1988) J Am Stat Assoc , vol.83 , pp. 1134-1143
    • Nychka, D.1
  • 31
  • 35
    • 62849093921 scopus 로고    scopus 로고
    • Smoothing parameter selection for a class of semiparametric linear models
    • Reiss P, Ogden T (2009) Smoothing parameter selection for a class of semiparametric linear models. J R Stat Soc Ser B 71(2):505–523
    • (2009) J R Stat Soc Ser B , vol.71 , Issue.2 , pp. 505-523
    • Reiss, P.1    Ogden, T.2
  • 37
    • 40249103367 scopus 로고    scopus 로고
    • Size and power of tests for a zero random effect variance or polynomial regression in additive and linear mixed models
    • Scheipl F, Greven S, Küchenhoff H (2008) Size and power of tests for a zero random effect variance or polynomial regression in additive and linear mixed models. Comput Stat Data Anal 52(7):3283–3299
    • (2008) Comput Stat Data Anal , vol.52 , Issue.7 , pp. 3283-3299
    • Scheipl, F.1    Greven, S.2    Küchenhoff, H.3
  • 39
    • 0036430645 scopus 로고    scopus 로고
    • Dysmyelination revealed through MRI as increased radial (but unchanged axial) diffusion of water
    • Song SK, Sun SW, Ramsbottom MJ, Chang C, Russell J, Cross AH (2002) Dysmyelination revealed through MRI as increased radial (but unchanged axial) diffusion of water. Neuroimage 17(3):1429–1436
    • (2002) Neuroimage , vol.17 , Issue.3 , pp. 1429-1436
    • Song, S.K.1    Sun, S.W.2    Ramsbottom, M.J.3    Chang, C.4    Russell, J.5    Cross, A.H.6
  • 40
    • 84862843745 scopus 로고    scopus 로고
    • Modeling functional data with spatially heterogeneous shape characteristics
    • Staicu A-M, Crainiceanu CM, Reich DS, Ruppert D (2012) Modeling functional data with spatially heterogeneous shape characteristics. Biometrics 68(2):331–343
    • (2012) Biometrics , vol.68 , Issue.2 , pp. 331-343
    • Staicu, A.-M.1    Crainiceanu, C.M.2    Reich, D.S.3    Ruppert, D.4
  • 41
    • 0032884133 scopus 로고    scopus 로고
    • Investigation of apparent diffusion coefficient and diffusion tensor anisotropy in acute and chronic multiple sclerosis lesions
    • Tievsky AL, Ptak T, Farkas J (1999) Investigation of apparent diffusion coefficient and diffusion tensor anisotropy in acute and chronic multiple sclerosis lesions. Am J Neuroradiol 20(8):1491–1499
    • (1999) Am J Neuroradiol , vol.20 , Issue.8 , pp. 1491-1499
    • Tievsky, A.L.1    Ptak, T.2    Farkas, J.3
  • 43
    • 0000939344 scopus 로고
    • Bayesian ‘confidence intervals’ for the cross-validated smoothing spline
    • Wahba G (1983) Bayesian ‘confidence intervals’ for the cross-validated smoothing spline. J R Stat Soc Ser B 45:133–150
    • (1983) J R Stat Soc Ser B , vol.45 , pp. 133-150
    • Wahba, G.1
  • 45
    • 78650862532 scopus 로고    scopus 로고
    • Fast stable restricted maximum likelihood and marginal likelihood estimation of semiparametric generalized linear models
    • Wood SN (2011) Fast stable restricted maximum likelihood and marginal likelihood estimation of semiparametric generalized linear models. J R Stat Soc Ser B 73(1):3–36
    • (2011) J R Stat Soc Ser B , vol.73 , Issue.1 , pp. 3-36
    • Wood, S.N.1
  • 46
    • 84930968727 scopus 로고    scopus 로고
    • MGCV: mixed GAM computation vehicle with GCV/AIC/REML smoothness estimation
    • Wood SN (2014) MGCV: mixed GAM computation vehicle with GCV/AIC/REML smoothness estimation. Website: http://CRAN.R-project.org/package=mgcv
    • (2014) Website:
    • Wood, S.N.1
  • 47
    • 77957570766 scopus 로고    scopus 로고
    • Varying-coefficient functional linear regression
    • Wu Y, Fan J, Müller H-G (2010) Varying-coefficient functional linear regression. Bernoulli 16(3):730–758
    • (2010) Bernoulli , vol.16 , Issue.3 , pp. 730-758
    • Wu, Y.1    Fan, J.2    Müller, H.-G.3
  • 48
    • 19744375466 scopus 로고    scopus 로고
    • Functional data analysis for sparse longitudinal data
    • Yao F, Müller H-G, Wang J-L (2005a) Functional data analysis for sparse longitudinal data. J Am Stat Assoc 100(740):577–590
    • (2005) J Am Stat Assoc , vol.100 , Issue.740 , pp. 577-590
    • Yao, F.1    Müller, H.-G.2    Wang, J.-L.3
  • 49
    • 19744369661 scopus 로고    scopus 로고
    • Functional linear regression analysis for longitudinal data
    • Yao F, Müller H-G, Wang J-L (2005b) Functional linear regression analysis for longitudinal data. Ann Stat 33(6):2873–2903
    • (2005) Ann Stat , vol.33 , Issue.6 , pp. 2873-2903
    • Yao, F.1    Müller, H.-G.2    Wang, J.-L.3
  • 50
    • 49749105599 scopus 로고    scopus 로고
    • Statistical inferences for functional data
    • Zhang JT, Chen J (2007) Statistical inferences for functional data. Ann Stat 35(3):1052–1079
    • (2007) Ann Stat , vol.35 , Issue.3 , pp. 1052-1079
    • Zhang, J.T.1    Chen, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.