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Volumn 24, Issue 2, 2015, Pages 477-501

Functional Additive Mixed Models

Author keywords

Functional data analysis; Functional principal component analysis; P splines; Smoothing; Varying coefficient models

Indexed keywords


EID: 84931084660     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.2014.901914     Document Type: Article
Times cited : (206)

References (73)
  • 2
  • 4
    • 39849083922 scopus 로고    scopus 로고
    • Bayesian Hierarchical Spatially Correlated Functional Data Analysis With Application to Colon Carcinogenesis
    • V.Baladandayuthapani,, B.K.Mallick,, M.Hong,, J.R.Lupton,, N.D.Turner,, and R.J.Carroll, (2008), “Bayesian Hierarchical Spatially Correlated Functional Data Analysis With Application to Colon Carcinogenesis,” Biometrics, 64, 64–73.
    • (2008) Biometrics , vol.64 , pp. 64-73
    • Baladandayuthapani, V.1    Mallick, B.K.2    Hong, M.3    Lupton, J.R.4    Turner, N.D.5    Carroll, R.J.6
  • 6
    • 34548382745 scopus 로고    scopus 로고
    • Bayesian Adaptive Regression Splines for Hierarchical Data
    • J.L.Bigelow,, and D.B.Dunson, (2007), “Bayesian Adaptive Regression Splines for Hierarchical Data,” Biometrics, 63, 724–732.
    • (2007) Biometrics , vol.63 , pp. 724-732
    • Bigelow, J.L.1    Dunson, D.B.2
  • 7
    • 0032356568 scopus 로고    scopus 로고
    • Smoothing Spline Models for the Analysis of Nested and Crossed Samples of Curves” (with discussion)
    • B.Brumback,, and J.A.Rice, (1998), “Smoothing Spline Models for the Analysis of Nested and Crossed Samples of Curves” (with discussion), Journal of the American Statistical Association, 93, 961–994.
    • (1998) Journal of the American Statistical Association , vol.93 , pp. 961-994
    • Brumback, B.1    Rice, J.A.2
  • 10
  • 13
  • 16
    • 77952396887 scopus 로고    scopus 로고
    • Statistics for Spatial Functional Data: Some Recent Contributions
    • P.Delicado,, R.Giraldo,, C.Comas,, and J.Mateu, (2010), “Statistics for Spatial Functional Data: Some Recent Contributions,” Environmetrics, 21, 224–239.
    • (2010) Environmetrics , vol.21 , pp. 224-239
    • Delicado, P.1    Giraldo, R.2    Comas, C.3    Mateu, J.4
  • 19
    • 0031197999 scopus 로고    scopus 로고
    • Regression Analysis for a Functional Response
    • J.J.Faraway, (1997), “Regression Analysis for a Functional Response,” Technometrics, 39, 254–261.
    • (1997) Technometrics , vol.39 , pp. 254-261
    • Faraway, J.J.1
  • 20
    • 84868156165 scopus 로고    scopus 로고
    • Statistical Computing in Functional Data Analysis: The R package fda.usc
    • M.Febrero-Bande,, and M.de la Fuente, (2012), “Statistical Computing in Functional Data Analysis: The R package fda.usc,” Journal of Statistical Software, 51, 1–28.
    • (2012) Journal of Statistical Software , vol.51 , pp. 1-28
    • Febrero-Bande, M.1    de la Fuente, M.2
  • 25
    • 84859826930 scopus 로고    scopus 로고
    • Longitudinal Penalized Functional Regression for Cognitive Outcomes on Neuronal Tract Measurements
    • J.Goldsmith,, C.M.Crainiceanu,, B.Caffo,, and D.Reich, (2012), “Longitudinal Penalized Functional Regression for Cognitive Outcomes on Neuronal Tract Measurements,” Journal of the Royal Statistical Society, 61, 453–469.
    • (2012) Journal of the Royal Statistical Society , vol.61 , pp. 453-469
    • Goldsmith, J.1    Crainiceanu, C.M.2    Caffo, B.3    Reich, D.4
  • 26
    • 84875947724 scopus 로고    scopus 로고
    • Corrected Confidence Bands for Functional Data Using Principal Components
    • J.Goldsmith,, S.Greven,, and C.M.Crainiceanu, (2013), “Corrected Confidence Bands for Functional Data Using Principal Components,” Biometrics, 69, 41–51.
    • (2013) Biometrics , vol.69 , pp. 41-51
    • Goldsmith, J.1    Greven, S.2    Crainiceanu, C.M.3
  • 29
    • 78651278795 scopus 로고    scopus 로고
    • On the Behaviour of Marginal and Conditional Aic in Linear Mixed Models
    • S.Greven,, and T.Kneib, (2010), “On the Behaviour of Marginal and Conditional Aic in Linear Mixed Models,” Biometrika, 97, 773–789.
    • (2010) Biometrika , vol.97 , pp. 773-789
    • Greven, S.1    Kneib, T.2
  • 30
    • 84866240276 scopus 로고    scopus 로고
    • Estimation and Testing for Spatially Indexed Curves With Application to Ionospheric and Magnetic Field Trends
    • O.Gromenko,, P.Kokoszka,, L.Zhu,, and J.Sojka, (2012), “Estimation and Testing for Spatially Indexed Curves With Application to Ionospheric and Magnetic Field Trends,” The Annals of Applied Statistics, 6, 669–696.
    • (2012) The Annals of Applied Statistics , vol.6 , pp. 669-696
    • Gromenko, O.1    Kokoszka, P.2    Zhu, L.3    Sojka, J.4
  • 31
    • 0036185675 scopus 로고    scopus 로고
    • Functional Mixed Effects Models
    • W.Guo, (2002), “Functional Mixed Effects Models,” Biometrics, 58, 121–128.
    • (2002) Biometrics , vol.58 , pp. 121-128
    • Guo, W.1
  • 32
    • 0037993212 scopus 로고    scopus 로고
    • Extending Correlation and Regression From Multivariate to Functional Data
    • Puri M., (ed), Utrecht: VSP International Science Publishers
    • G.He,, H.-G.Müller,, and J.L.Wang, (2000), “Extending Correlation and Regression From Multivariate to Functional Data,” in Asymptotics in Statistics and Probability, ed. M.Puri, Utrecht: VSP International Science Publishers, pp. 301–315.
    • (2000) Asymptotics in Statistics and Probability , pp. 301-315
    • He, G.1    Müller, H.-G.2    Wang, J.L.3
  • 33
    • 84931078436 scopus 로고    scopus 로고
    • (Version 3.0 ed.). Anderson Cancer Center, The University of Texas M.D
    • R.Herrick, (2013), WFMM, (Version 3.0 ed.). Anderson Cancer Center, The University of Texas M.D.
    • (2013) WFMM
    • Herrick, R.1
  • 34
    • 77951495664 scopus 로고    scopus 로고
    • Weakly Dependent Functional Data
    • S.Hörmann,, and P.Kokoszka, (2010), “Weakly Dependent Functional Data,” The Annals of Statistics, 38, 1845–1884.
    • (2010) The Annals of Statistics , vol.38 , pp. 1845-1884
    • Hörmann, S.1    Kokoszka, P.2
  • 35
    • 84884954577 scopus 로고    scopus 로고
    • Consistency of the Mean and the Principal Components of Spatially Distributed Functional Data
    • Ferraty F., (ed), New York: Springer
    • S.Hörmann, (2011), “Consistency of the Mean and the Principal Components of Spatially Distributed Functional Data,” in Recent Advances in Functional Data Analysis and Related Topics, ed. F.Ferraty, New York: Springer, pp. 169–175.
    • (2011) Recent Advances in Functional Data Analysis and Related Topics , pp. 169-175
    • Hörmann, S.1
  • 38
    • 80052290463 scopus 로고    scopus 로고
    • Functional Mixed Effects Spectral Analysis
    • R.T.Krafty,, M.Hall,, and W.Guo, (2011), “Functional Mixed Effects Spectral Analysis,” Biometrika, 98, 583–598.
    • (2011) Biometrika , vol.98 , pp. 583-598
    • Krafty, R.T.1    Hall, M.2    Guo, W.3
  • 40
    • 50449084238 scopus 로고    scopus 로고
    • Nonparametric Estimation of Correlation Functions in Longitudinal and Spatial Data, With Application to Colon Carcinogenesis Experiments
    • Y.Li,, N.Wang,, M.Hong,, N.D.Turner,, J.R.Lupton,, and R.J.Carroll, (2007), “Nonparametric Estimation of Correlation Functions in Longitudinal and Spatial Data, With Application to Colon Carcinogenesis Experiments,” The Annals of Statistics, 35, 1608–1643.
    • (2007) The Annals of Statistics , vol.35 , pp. 1608-1643
    • Li, Y.1    Wang, N.2    Hong, M.3    Turner, N.D.4    Lupton, J.R.5    Carroll, R.J.6
  • 41
    • 0242595929 scopus 로고    scopus 로고
    • The Historical Functional Linear Model
    • N.Malfait,, and J.Ramsay, (2003), “The Historical Functional Linear Model,” Canadian Journal of Statistics, 31, 115–128.
    • (2003) Canadian Journal of Statistics , vol.31 , pp. 115-128
    • Malfait, N.1    Ramsay, J.2
  • 42
    • 79953654016 scopus 로고    scopus 로고
    • Practical Variable Selection for Generalized Additive Models
    • G.Marra,, and S.N.Wood, (2011), “Practical Variable Selection for Generalized Additive Models,” Computational Statistics & Data Analysis, 55, 2372–2387.
    • (2011) Computational Statistics & Data Analysis , vol.55 , pp. 2372-2387
    • Marra, G.1    Wood, S.N.2
  • 43
    • 84857058351 scopus 로고    scopus 로고
    • Coverage Properties of Confidence Intervals for Generalized Additive Model Components
    • G.Marra,, and S.N.Wood, (2012), “Coverage Properties of Confidence Intervals for Generalized Additive Model Components,” Scandinavian Journal of Statistics, 39, 53–74.
    • (2012) Scandinavian Journal of Statistics , vol.39 , pp. 53-74
    • Marra, G.1    Wood, S.N.2
  • 50
    • 84885037860 scopus 로고    scopus 로고
    • Cramér-Karhunen-Loève Representation and Harmonic Principal Component Analysis of Functional Time Series
    • V.M.Panaretos,, and S.Tavakoli, (2013a), “Cramér-Karhunen-Loève Representation and Harmonic Principal Component Analysis of Functional Time Series,” Stochastic Processes and their Applications, 123, 2279–2807.
    • (2013) Stochastic Processes and their Applications , vol.123 , pp. 2279-2807
    • Panaretos, V.M.1    Tavakoli, S.2
  • 51
    • 84879130814 scopus 로고    scopus 로고
    • Fourier Analysis of Stationary Time Series in Function Space
    • V.M.Panaretos,, and S.Tavakoli, (2013b), “Fourier Analysis of Stationary Time Series in Function Space,” The Annals of Statistics, 41, 568–603.
    • (2013) The Annals of Statistics , vol.41 , pp. 568-603
    • Panaretos, V.M.1    Tavakoli, S.2
  • 53
    • 33645576875 scopus 로고    scopus 로고
    • Functional Mixed-Effects Model for Periodic Data
    • L.Qin,, and W.Guo, (2006), “Functional Mixed-Effects Model for Periodic Data,” Biostatistics, 7, 225–234.
    • (2006) Biostatistics , vol.7 , pp. 225-234
    • Qin, L.1    Guo, W.2
  • 55
    • 79961135005 scopus 로고    scopus 로고
    • Vienna, Austria: R Foundation for Statistical Computing
    • R Development Core Team. (2011), R: A Language and Environment for Statistical Computing, Vienna, Austria: R Foundation for Statistical Computing.
    • (2011) R: A Language and Environment for Statistical Computing
  • 57
    • 35348906983 scopus 로고    scopus 로고
    • Functional Principal Component Regression and Functional Partial Least Squares
    • P.T.Reiss,, and T.Ogden, (2007), “Functional Principal Component Regression and Functional Partial Least Squares,” Journal of the American Statistical Association, 102, 984–996.
    • (2007) Journal of the American Statistical Association , vol.102 , pp. 984-996
    • Reiss, P.T.1    Ogden, T.2
  • 58
    • 62849093921 scopus 로고    scopus 로고
    • Smoothing Parameter Selection for a Class of Semiparametric Linear Models
    • P.T.Reiss,, and T.Ogden, (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, T.2
  • 60
    • 70349245263 scopus 로고    scopus 로고
    • Bayesian Hierarchical Functional Data Analysis via Contaminated Informative Priors
    • B.Scarpa,, and D.B.Dunson, (2009), “Bayesian Hierarchical Functional Data Analysis via Contaminated Informative Priors,” Biometrics, 65, 772–780.
    • (2009) Biometrics , vol.65 , pp. 772-780
    • Scarpa, B.1    Dunson, D.B.2
  • 62
    • 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
    • F.Scheipl,, S.Greven,, and H.Küchenhoff, (2008), “Size and Power of Tests for a Zero Random Effect Variance or Polynomial Regression in Additive and Linear Mixed Models,” Computational Statistics & Data Analysis, 52, 3283–3299.
    • (2008) Computational Statistics & Data Analysis , vol.52 , pp. 3283-3299
    • Scheipl, F.1    Greven, S.2    Küchenhoff, H.3
  • 63
    • 77749242738 scopus 로고    scopus 로고
    • Fast Methods for Spatially Correlated Multilevel Functional Data
    • A.-M.Staicu,, C.M.Crainiceanu,, and R.J.Carroll, (2010), “Fast Methods for Spatially Correlated Multilevel Functional Data,” Biostatistics, 11, 177–194.
    • (2010) Biostatistics , vol.11 , pp. 177-194
    • Staicu, A.-M.1    Crainiceanu, C.M.2    Carroll, R.J.3
  • 64
    • 84862843745 scopus 로고    scopus 로고
    • Modeling Functional Data With Spatially Heterogeneous Shape Characteristics
    • A.-M.Staicu,, C.M.Crainiceanu,, D.Ruppert,, and D.Reich, (2011), “Modeling Functional Data With Spatially Heterogeneous Shape Characteristics,” Biometrics, 68, 331–343.
    • (2011) Biometrics , vol.68 , pp. 331-343
    • Staicu, A.-M.1    Crainiceanu, C.M.2    Ruppert, D.3    Reich, D.4
  • 65
    • 4944226585 scopus 로고    scopus 로고
    • Stable and Efficient Multiple Smoothing Parameter Estimation for Generalized Additive Models
    • S.N.Wood, (2004), “Stable and Efficient Multiple Smoothing Parameter Estimation for Generalized Additive Models,” Journal of the American Statistical Association, 99, 673–686.
    • (2004) Journal of the American Statistical Association , vol.99 , pp. 673-686
    • Wood, S.N.1
  • 67
    • 78650862532 scopus 로고    scopus 로고
    • Fast Stable Restricted Maximum Likelihood and Marginal Likelihood Estimation of Semiparametric Generalized Linear Models
    • S.N.Wood, (2011), “Fast Stable Restricted Maximum Likelihood and Marginal Likelihood Estimation of Semiparametric Generalized Linear Models,” Journal of the Royal Statistical Society, Series B, 73, 3–36.
    • (2011) Journal of the Royal Statistical Society, Series B , vol.73 , pp. 3-36
    • Wood, S.N.1
  • 68
    • 84874762668 scopus 로고    scopus 로고
    • On p-Values for Smooth Components of an Extended Generalized Additive Model
    • S.N.Wood, (2013), “On p-Values for Smooth Components of an Extended Generalized Additive Model,” Biometrika, 100, 221–228.
    • (2013) Biometrika , vol.100 , pp. 221-228
    • Wood, S.N.1
  • 69
    • 84875400806 scopus 로고    scopus 로고
    • Straightforward Intermediate Rank Tensor Product Smoothing in Mixed Models
    • S.N.Wood,, F.Scheipl,, and J.J.Faraway, (2013), “Straightforward Intermediate Rank Tensor Product Smoothing in Mixed Models,” Statistics and Computing, 23, 341–360.
    • (2013) Statistics and Computing , vol.23 , pp. 341-360
    • Wood, S.N.1    Scheipl, F.2    Faraway, J.J.3
  • 70
    • 77957570766 scopus 로고    scopus 로고
    • Varying-Coefficient Functional Linear Regression
    • Y.Wu,, J.Fan,, and H.-G.Müller, (2010), “Varying-Coefficient Functional Linear Regression,” Bernoulli, 16, 730–758.
    • (2010) Bernoulli , vol.16 , pp. 730-758
    • Wu, Y.1    Fan, J.2    Müller, H.-G.3
  • 73
    • 80054702555 scopus 로고    scopus 로고
    • Robust, Adaptive Functional Regression in Functional Mixed Model Framework
    • H.Zhu,, P.J.Brown,, and J.S.Morris, (2011), “Robust, Adaptive Functional Regression in Functional Mixed Model Framework,” Journal of the American Statistical Association, 106, 1167–1179.
    • (2011) Journal of the American Statistical Association , vol.106 , pp. 1167-1179
    • Zhu, H.1    Brown, P.J.2    Morris, J.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.