메뉴 건너뛰기




Volumn 103, Issue 1, 2015, Pages 147-159

Partially functional linear regression in high dimensions

Author keywords

Functional data; Functional linear regression; Model selection; Principal components; Regularization; Smoothly clipped absolute deviation

Indexed keywords


EID: 84960090412     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/asv062     Document Type: Article
Times cited : (142)

References (38)
  • 1
    • 33847349358 scopus 로고    scopus 로고
    • Prediction in functional linear regression
    • CAI, T. T. & HALL, P. (2006). Prediction in functional linear regression. Ann. Statist. 34, 2159-79.
    • (2006) Ann. Statist. , vol.34 , pp. 2159-2179
    • Cai, T.T.1    Hall, P.2
  • 2
    • 6444240715 scopus 로고    scopus 로고
    • Estimation in generalized linear models for functional data via penalized likelihood
    • CARDOT, H. & SARDA, P. (2005). Estimation in generalized linear models for functional data via penalized likelihood. J. Mult. Anal. 92, 24-41.
    • (2005) J. Mult. Anal. , vol.92 , pp. 24-41
    • Cardot, H.1    Sarda, P.2
  • 3
    • 0038784362 scopus 로고    scopus 로고
    • Testing hypotheses in the functional linear model
    • CARDOT, H., FERRATY, F., MAS, A. & SARDA, P. (2003). Testing hypotheses in the functional linear model. Scand. J. Statist. 30, 241-55.
    • (2003) Scand. J. Statist. , vol.30 , pp. 241-255
    • Cardot, H.1    Ferraty, F.2    Mas, A.3    Sarda, P.4
  • 4
    • 0036622664 scopus 로고    scopus 로고
    • Linear functional regression: The case of fixed design and functional response
    • CUEVAS, A., FEBRERO, M. & FRAIMAN, R. (2002). Linear functional regression: The case of fixed design and functional response. Can. J. Statist. 30, 285-300.
    • (2002) Can. J. Statist. , vol.30 , pp. 285-300
    • Cuevas, A.1    Febrero, M.2    Fraiman, R.3
  • 6
    • 2542635673 scopus 로고    scopus 로고
    • Principal component estimation of functional logistic regression: Discussion of two different approaches
    • ESCABIAS, M., AGUILERA, A. M. & VALDERRAMA, M. J. (2004). Principal component estimation of functional logistic regression: Discussion of two different approaches. J. Nonparam. Statist. 16, 365-84.
    • (2004) J. Nonparam. Statist. , vol.16 , pp. 365-384
    • Escabias, M.1    Aguilera, A.M.2    Valderrama, M.J.3
  • 7
    • 1542784498 scopus 로고    scopus 로고
    • Variable selection via nonconcave penalized likelihood and its oracle properties
    • FAN, J. & LI, R. (2001). Variable selection via nonconcave penalized likelihood and its oracle properties. J. Am. Statist. Assoc. 96, 1348-60.
    • (2001) J. Am. Statist. Assoc. , vol.96 , pp. 1348-1360
    • Fan, J.1    Li, R.2
  • 8
    • 0034355052 scopus 로고    scopus 로고
    • Two-step estimation of functional linear models with applications to longitudinal data
    • FAN, J. & ZHANG, J.-T. (2000). Two-step estimation of functional linear models with applications to longitudinal data. J. R. Statist. Soc. B 62, 303-22.
    • (2000) J. R. Statist. Soc. B , vol.62 , pp. 303-322
    • Fan, J.1    Zhang, J.-T.2
  • 9
    • 84855983910 scopus 로고    scopus 로고
    • Variance estimation using refitted cross-validation in ultrahigh dimensional regression
    • FAN, J., GUO, S. & HAO, N. (2012). Variance estimation using refitted cross-validation in ultrahigh dimensional regression. J. R. Statist. Soc. B 74, 37-65.
    • (2012) J. R. Statist. Soc. B , vol.74 , pp. 37-65
    • Fan, J.1    Guo, S.2    Hao, N.3
  • 10
    • 0141464871 scopus 로고    scopus 로고
    • Adaptive varying-coefficient linear models
    • FAN, J., YAO, Q. & CAI, Z. (2003). Adaptive varying-coefficient linear models. J. R. Statist. Soc. B 65, 57-80.
    • (2003) J. R. Statist. Soc. B , vol.65 , pp. 57-80
    • Fan, J.1    Yao, Q.2    Cai, Z.3
  • 11
    • 0032361278 scopus 로고    scopus 로고
    • Penalized regressions: The bridge versus the lasso
    • FU, W. J. (1998). Penalized regressions: The bridge versus the lasso. J. Comp. Graph. Statist. 7, 397-416.
    • (1998) J. Comp. Graph. Statist. , vol.7 , pp. 397-416
    • Fu, J.W.1
  • 12
    • 35348874516 scopus 로고    scopus 로고
    • Methodology and convergence rates for functional linear regression
    • HALL, P. & HOROWITZ, J. L. (2007). Methodology and convergence rates for functional linear regression. Ann. Statist. 35, 70-91.
    • (2007) Ann. Statist. , vol.35 , pp. 70-91
    • Hall, P.1    Horowitz, J.L.2
  • 13
    • 33747153005 scopus 로고    scopus 로고
    • Properties of principal component methods for functional and longitudinal data analysis
    • HALL, P., MULLER, H. G. & WANG, J. L. (2006). Properties of principal component methods for functional and longitudinal data analysis. Ann. Statist. 34, 1493-517.
    • (2006) Ann. Statist. , vol.34 , pp. 1493-1517
    • Hall, P.1    Muller, H.G.2    Wang, J.L.3
  • 14
    • 77949349770 scopus 로고    scopus 로고
    • Smoothly clipped absolute deviation on high dimensions
    • KIM, Y., CHOI, H. & OH, H.-S. (2008). Smoothly clipped absolute deviation on high dimensions. J. Am. Statist. Assoc. 103, 1665-73.
    • (2008) J. Am. Statist. Assoc. , vol.103 , pp. 1665-1673
    • Kim, Y.1    Choi, H.2    Oh, H.-S.3
  • 15
    • 84987898753 scopus 로고    scopus 로고
    • Adaptive global testing for functional linear models
    • LEI, J. (2014). Adaptive global testing for functional linear models. J. Am. Statist. Assoc. 109, 624-34.
    • (2014) J. Am. Statist. Assoc. , vol.109 , pp. 624-634
    • Lei, J.1
  • 16
    • 78649440047 scopus 로고    scopus 로고
    • Generalized functional linear models with semiparametric single-index interactions
    • LI, Y., WANG, N. & CARROLL, R. J. (2010). Generalized functional linear models with semiparametric single-index interactions. J. Am. Statist. Assoc. 105, 621-33.
    • (2010) J. Am. Statist. Assoc. , vol.105 , pp. 621-633
    • Li, Y.1    Wang, N.2    Carroll, R.J.3
  • 17
    • 84927515976 scopus 로고    scopus 로고
    • Functional partially linear quantile regression model
    • LU, Y., DU, J. & SUN, Z. (2014). Functional partially linear quantile regression model. Metrika 77, 317-32.
    • (2014) Metrika , vol.77 , pp. 317-332
    • Lu, Y.1    Du, J.2    Sun, Z.3
  • 18
    • 0242679450 scopus 로고    scopus 로고
    • Wavelet-based nonparametric modeling of hierarchical functions in colon carcinogenesis
    • MORRIS, J. S., VANNUCCI, M., BROWN, P. J. & CARROLL, R. J. (2003). Wavelet-based nonparametric modeling of hierarchical functions in colon carcinogenesis. J. Am. Statist. Assoc. 98, 573-97.
    • (2003) J. Am. Statist. Assoc. , vol.98 , pp. 573-597
    • Morris, J.S.1    Vannucci, M.2    Brown, P.J.3    Carroll, R.J.4
  • 19
    • 19744372814 scopus 로고    scopus 로고
    • Generalized functional linear models
    • MULLER, H.-G. & STADTMULLER, U. (2005). Generalized functional linear models. Ann. Statist. 33, 774-805.
    • (2005) Ann. Statist. , vol.33 , pp. 774-805
    • Muller, H.-G.1    Stadtmuller, U.2
  • 20
  • 24
    • 33644794010 scopus 로고    scopus 로고
    • Model choice in time series studies of air pollution and mortality
    • PENG, R. D., DOMINICI, F. & LOUIS, T. A. (2006). Model choice in time series studies of air pollution and mortality. J. R. Statist. Soc. A 169, 179-203.
    • (2006) J. R. Statist. Soc. A , vol.169 , pp. 179-203
    • Peng, R.D.1    Dominici, F.2    Louis, T.A.3
  • 25
    • 0001501999 scopus 로고
    • Some tools for functional data analysis (with Discussion)
    • RAMSAY, J. O. & DALZELL, C. J. (1991). Some tools for functional data analysis (with Discussion). J. R. Statist. Soc. B 53, 539-72.
    • (1991) J. R. Statist. Soc. B , vol.53 , pp. 539-572
    • Ramsay, J.O.1    Dalzell, C.J.2
  • 27
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • RICE, J. A. & SILVERMAN, B. W. (1991). Estimating the mean and covariance structure nonparametrically when the data are curves. J. R. Statist. Soc. B 53, 233-43.
    • (1991) J. R. Statist. Soc. B , vol.53 , pp. 233-243
    • Rice, J.A.1    Silverman, B.W.2
  • 29
    • 67649921716 scopus 로고    scopus 로고
    • Partial functional linear regression
    • SHIN, H. (2009). Partial functional linear regression. J. Statist. Plan. Infer. 139, 3405-18.
    • (2009) J. Statist. Plan. Infer. , vol.139 , pp. 3405-3418
    • Shin, H.1
  • 30
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • TIBSHIRANI, R. J. (1996). Regression shrinkage and selection via the lasso. J. R. Statist. Soc. B 58, 267-88.
    • (1996) J. R. Statist. Soc. B , vol.58 , pp. 267-288
    • Tibshirani, R.J.1
  • 31
    • 34548536572 scopus 로고    scopus 로고
    • Tuning parameter selectors for the smoothly clipped absolute deviationmethod
    • WANG, H., LI, R. & TSAI, C.-L. (2007). Tuning parameter selectors for the smoothly clipped absolute deviationmethod. Biometrika 93, 553-68.
    • (2007) Biometrika , vol.93 , pp. 553-568
    • Wang, H.1    Li, R.2    Tsai, C.-L.3
  • 32
    • 77249159873 scopus 로고    scopus 로고
    • Functional quadratic regression
    • YAO, F. & MULLER, H.-G. (2010). Functional quadratic regression. Biometrika 97, 49-64.
    • (2010) Biometrika , vol.97 , pp. 49-64
    • Yao, F.1    Muller, H.-G.2
  • 33
    • 19744375466 scopus 로고    scopus 로고
    • Functional data analysis for sparse longitudinal data
    • YAO, F., MULLER, H.-G. & WANG, J.-L. (2005a). Functional data analysis for sparse longitudinal data. J. Am. Statist. Assoc. 100, 577-90.
    • (2005) J. Am. Statist. Assoc. , vol.100 , pp. 577-590
    • Yao, F.1    Muller, H.-G.2    Wang, J.-L.3
  • 34
    • 19744369661 scopus 로고    scopus 로고
    • Functional linear regression analysis for longitudinal data
    • YAO, F., MULLER, H.-G. & WANG, J.-L. (2005b). Functional linear regression analysis for longitudinal data. Ann. Statist. 33, 2873-903.
    • (2005) Ann. Statist. , vol.33 , pp. 2873-2903
    • Yao, F.1    Muller, H.-G.2    Wang, J.-L.3
  • 35
    • 33645035051 scopus 로고    scopus 로고
    • Model selection and estimation in regression with grouped variables
    • YUAN, M. & LIN, Y. (2006). Model selection and estimation in regression with grouped variables. J. R. Statist. Soc. B 68, 49-67.
    • (2006) J. R. Statist. Soc. B , vol.68 , pp. 49-67
    • Yuan, M.1    Lin, Y.2
  • 36
    • 49749105599 scopus 로고    scopus 로고
    • Statistical inferences for functional data
    • ZHANG, J.-T. & CHEN, J. (2007). Statistical inferences for functional data. Ann. Statist. 35, 1052-79.
    • (2007) Ann. Statist. , vol.35 , pp. 1052-1079
    • Zhang, J.-T.1    Chen, J.2
  • 37
    • 33846114377 scopus 로고    scopus 로고
    • The adaptive lasso and its oracle properties
    • ZOU, H. (2006). The adaptive lasso and its oracle properties. J. Am. Statist. Assoc. 101, 1418-29.
    • (2006) J. Am. Statist. Assoc. , vol.101 , pp. 1418-1429
    • Zou, H.1
  • 38
    • 51049104549 scopus 로고    scopus 로고
    • One-step sparse estimates in nonconcave penalized likelihood models
    • ZOU, H. & LI, R. (2008). One-step sparse estimates in nonconcave penalized likelihood models. Ann. Statist. 36, 1509-33.
    • (2008) Ann. Statist. , vol.36 , pp. 1509-1533
    • Zou, H.1    Li, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.