메뉴 건너뛰기




Volumn 24, Issue 3, 2015, Pages 655-675

Wavelet-Based Weighted LASSO and Screening Approaches in Functional Linear Regression

Author keywords

Adaptive LASSO; Functional data analysis; Penalized linear regression; Screening strategies; Wavelet regression

Indexed keywords


EID: 84938486870     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.2014.925458     Document Type: Article
Times cited : (34)

References (41)
  • 1
    • 0001849748 scopus 로고    scopus 로고
    • Wavelet Analysis and its Statistical Applications
    • F.Abramovich,, T.Bailey,, T.Sapatinas, (2000), Wavelet Analysis and its Statistical Applications, The Statistician, 49, 1–29.
    • (2000) The Statistician , vol.49 , pp. 1-29
    • Abramovich, F.1    Bailey, T.2    Sapatinas, T.3
  • 2
    • 84872254483 scopus 로고    scopus 로고
    • The ADHD-200 Consortium: A Model to Advance the Translational Potential of Neuroimaging in Clinical Neuroscience
    • (2012), The ADHD-200 Consortium: A Model to Advance the Translational Potential of Neuroimaging in Clinical Neuroscience, Frontiers in Systems Neuroscience, 6, 62.
    • (2012) Frontiers in Systems Neuroscience , vol.6 , pp. 62
  • 5
    • 33847349358 scopus 로고    scopus 로고
    • Prediction in Functional Linear Regression
    • T.T.Cai,, P.Hall, (2006), Prediction in Functional Linear Regression, The Annals of Statistics, 34, 2159–2179.
    • (2006) The Annals of Statistics , vol.34 , pp. 2159-2179
    • Cai, T.T.1    Hall, P.2
  • 6
    • 0041459525 scopus 로고    scopus 로고
    • Spline Estimators for the Functional Linear Model
    • H.Cardot,, F.Ferraty,, P.Sarda, (2003), Spline Estimators for the Functional Linear Model, Statistica Sinica, 13, 571–591.
    • (2003) Statistica Sinica , vol.13 , pp. 571-591
    • Cardot, H.1    Ferraty, F.2    Sarda, P.3
  • 7
    • 6444240715 scopus 로고    scopus 로고
    • Estimation in Generalized Linear Models for Functional Data via Penalized Likelihood
    • H.Cardot,, P.Sarda, (2005), Estimation in Generalized Linear Models for Functional Data via Penalized Likelihood, Journal of Multivariate Analysis, 92, 24–41.
    • (2005) Journal of Multivariate Analysis , vol.92 , pp. 24-41
    • Cardot, H.1    Sarda, P.2
  • 9
    • 84867490161 scopus 로고    scopus 로고
    • Bootstrap-Based Inference on the Difference in the Means of Two Correlated Functional Processes
    • C.M.Crainiceanu,, A.M.Staicu,, B.S.Rayc,, N.Punjabid, (2012b), Bootstrap-Based Inference on the Difference in the Means of Two Correlated Functional Processes, Statistics in Medicine, 31, 3223–3240.
    • (2012) Statistics in Medicine , vol.31 , pp. 3223-3240
    • Crainiceanu, C.M.1    Staicu, A.M.2    Rayc, B.S.3    Punjabid, N.4
  • 10
    • 65349171811 scopus 로고    scopus 로고
    • Smoothing Splines Estimators for Functional Linear Regression
    • C.Crambes,, A.Kneip,, P.Sarda, (2009), Smoothing Splines Estimators for Functional Linear Regression, The Annals of Statistics, 37, 35–72.
    • (2009) The Annals of Statistics , vol.37 , pp. 35-72
    • Crambes, C.1    Kneip, A.2    Sarda, P.3
  • 11
    • 79951813381 scopus 로고    scopus 로고
    • Weighted Least Squares Methods for Prediction in the Functional Linear Model
    • A.Delaigle,, P.Hall,, T.V.Apanasovich, (2009), Weighted Least Squares Methods for Prediction in the Functional Linear Model, Electronic Journal of Statistics, 3, 865–885.
    • (2009) Electronic Journal of Statistics , vol.3 , pp. 865-885
    • Delaigle, A.1    Hall, P.2    Apanasovich, T.V.3
  • 12
    • 0041958932 scopus 로고
    • Ideal Spatial Adaptation via Wavelet Shrinkage
    • D.Donoho,, I.Johnstone, (1994), Ideal Spatial Adaptation via Wavelet Shrinkage, Biometrika, 81, 425–455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.1    Johnstone, I.2
  • 14
    • 53849086824 scopus 로고    scopus 로고
    • Sure Independence Screening for Ultrahigh Dimensional Feature Space
    • with discussion
    • J.Fan,, J.Lv, (2008), Sure Independence Screening for Ultrahigh Dimensional Feature Space (with discussion), Journal of Royal Statistical Society, Series B, 70, 849–911.
    • (2008) Journal of Royal Statistical Society, Series B , vol.70 , pp. 849-911
    • Fan, J.1    Lv, J.2
  • 15
    • 77949352853 scopus 로고    scopus 로고
    • A Selective Overview of Variable Selection in High Dimensional Feature Space
    • J.Fan, (2010), A Selective Overview of Variable Selection in High Dimensional Feature Space, Statistica Sinica, 20, 101–148.
    • (2010) Statistica Sinica , vol.20 , pp. 101-148
    • Fan, J.1
  • 18
    • 35348874516 scopus 로고    scopus 로고
    • Methodology and Convergence Rates for Functional Linear Regression
    • P.Hall,, J.L.Horowitz, (2007), Methodology and Convergence Rates for Functional Linear Regression, The Annals of Statistics, 35, 70–91.
    • (2007) The Annals of Statistics , vol.35 , pp. 70-91
    • Hall, P.1    Horowitz, J.L.2
  • 19
    • 51049096710 scopus 로고    scopus 로고
    • Adaptive Lasso for Sparse High-dimensional Regression Models
    • J.Huang,, S.Ma,, C.Zhang, (2008), Adaptive Lasso for Sparse High-dimensional Regression Models, Statistica Sinica, 18, 1603–1618.
    • (2008) Statistica Sinica , vol.18 , pp. 1603-1618
    • Huang, J.1    Ma, S.2    Zhang, C.3
  • 20
    • 69049090897 scopus 로고    scopus 로고
    • Functional Linear Regression That’s Interpretable
    • G.M.James,, J.Wang,, J.Zhu, (2009), Functional Linear Regression That’s Interpretable, The Annals of Statistics, 37, 2083–2108.
    • (2009) The Annals of Statistics , vol.37 , pp. 2083-2108
    • James, G.M.1    Wang, J.2    Zhu, J.3
  • 21
    • 66549088006 scopus 로고    scopus 로고
    • On Consistency and Sparsity for Principal Components Analysis in High Dimensions
    • I.Johnstone,, A.Lu, (2009), On Consistency and Sparsity for Principal Components Analysis in High Dimensions, Journal of American Statistical Association, 104, 682–693.
    • (2009) Journal of American Statistical Association , vol.104 , pp. 682-693
    • Johnstone, I.1    Lu, A.2
  • 23
    • 80053443716 scopus 로고    scopus 로고
    • Sparse Estimation in Functional Linear Regression
    • E.Lee,, B.Park, (2012), Sparse Estimation in Functional Linear Regression, Journal of Multivariate Analysis, 105, 1–17.
    • (2012) Journal of Multivariate Analysis , vol.105 , pp. 1-17
    • Lee, E.1    Park, B.2
  • 24
    • 34548839871 scopus 로고    scopus 로고
    • On Rates of Convergence in Functional Linear Regression
    • Y.Li,, T.Hsing, (2007), On Rates of Convergence in Functional Linear Regression, Journal of Multivariate Analysis, 98, 1782–1804.
    • (2007) Journal of Multivariate Analysis , vol.98 , pp. 1782-1804
    • Li, Y.1    Hsing, T.2
  • 25
    • 77956637967 scopus 로고    scopus 로고
    • Wavelet-Based Functional Linear Mixed Models: An Application to Measurement Error corrected Distributed Lag Models
    • E.Malloy,, J.Morris,, S.Adar,, H.Suh,, D.Gold,, B.Coull, (2010), Wavelet-Based Functional Linear Mixed Models: An Application to Measurement Error corrected Distributed Lag Models, Biostatistics, 11, 432–452.
    • (2010) Biostatistics , vol.11 , pp. 432-452
    • Malloy, E.1    Morris, J.2    Adar, S.3    Suh, H.4    Gold, D.5    Coull, B.6
  • 26
    • 33747163541 scopus 로고    scopus 로고
    • High Dimensional Graphs and Variable Selection With the Lasso
    • N.Meinshausen,, P.Bühlmann, (2006), High Dimensional Graphs and Variable Selection With the Lasso, The Annals of Statistics, 34, 1436–1462.
    • (2006) The Annals of Statistics , vol.34 , pp. 1436-1462
    • Meinshausen, N.1    Bühlmann, P.2
  • 29
    • 80051542310 scopus 로고    scopus 로고
    • Wavethresh: Wavelets Statistics and Transforms
    • G.Nason, (2010), “Wavethresh: Wavelets Statistics and Transforms, R package version 4.5.
    • (2010) R package version 4.5
    • Nason, G.1
  • 32
    • 35348906983 scopus 로고    scopus 로고
    • Functional Principal Component Regression and Functional Partial Least Squares
    • P.T.Reiss,, R.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, R.T.2
  • 37
  • 39
    • 84871642334 scopus 로고    scopus 로고
    • Robust Classification of Functional and Quantitative Image Data Using Functional Mixed Models
    • H.Zhu,, P.J.Brown,, J.S.Morris, (2012), Robust Classification of Functional and Quantitative Image Data Using Functional Mixed Models, Biometrics, 68, 1260–1268.
    • (2012) Biometrics , vol.68 , pp. 1260-1268
    • Zhu, H.1    Brown, P.J.2    Morris, J.S.3
  • 40


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.