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Volumn 66, Issue 3, 2004, Pages 653-667

Smoothing spline estimation in varying-coefficient models

Author keywords

Bayesian confidence intervals; Cross validation; Kalman filter; Order n algorithm; Variance estimation

Indexed keywords


EID: 3543022718     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9868.2004.B5595.x     Document Type: Article
Times cited : (75)

References (24)
  • 1
    • 0034944234 scopus 로고    scopus 로고
    • Profiles for nursing home residents with multiple sclerosis using the minimum data set
    • Buchanan, R. J., Wang, S., Huang, C. and Graber, D. (2001) Profiles for nursing home residents with multiple sclerosis using the minimum data set. Mult. Scler., 7, 189-200.
    • (2001) Mult. Scler. , vol.7 , pp. 189-200
    • Buchanan, R.J.1    Wang, S.2    Huang, C.3    Graber, D.4
  • 2
    • 1542783734 scopus 로고    scopus 로고
    • Smoothing spline estimation for varying coefficient models with repeatedly measured dependent variables
    • Chiang, C.-T., Rice, J. A. and Wu, C. O. (2001) Smoothing spline estimation for varying coefficient models with repeatedly measured dependent variables. J. Am. Statist. Ass., 96, 605-619.
    • (2001) J. Am. Statist. Ass. , vol.96 , pp. 605-619
    • Chiang, C.-T.1    Rice, J.A.2    Wu, C.O.3
  • 3
    • 85053520810 scopus 로고
    • Local regression models
    • eds J. Chambers and T. Hastie . Pacific Grove: Wadsworth and Brooks/Cole
    • Cleveland, W., Grosse, E. and Shyu, W (1991) Local regression models. In Statistical Models in S (eds J. Chambers and T. Hastie), pp. 309-376. Pacific Grove: Wadsworth and Brooks/Cole.
    • (1991) Statistical Models in S , pp. 309-376
    • Cleveland, W.1    Grosse, E.2    Shyu, W.3
  • 5
    • 0038682962 scopus 로고    scopus 로고
    • Adaptive order selection for smoothing splines
    • Eubank, R., Huang, C. and Wang, S. (2003) Adaptive order selection for smoothing splines. J. Comput. Graph. Statist., 12, 382-397.
    • (2003) J. Comput. Graph. Statist. , vol.12 , pp. 382-397
    • Eubank, R.1    Huang, C.2    Wang, S.3
  • 6
    • 73149116074 scopus 로고
    • Confidence bands in nonparametric regression
    • Eubank, R. and Speckman, P. (1993) Confidence bands in nonparametric regression. J. Am. Statist. Ass., 88, 1287-1301.
    • (1993) J. Am. Statist. Ass. , vol.88 , pp. 1287-1301
    • Eubank, R.1    Speckman, P.2
  • 7
    • 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. J. R. Statist. Soc. B, 62, 303-322.
    • (2000) J. R. Statist. Soc. B , vol.62 , pp. 303-322
    • Fan, J.1    Zhang, J.-T.2
  • 8
    • 0033233728 scopus 로고    scopus 로고
    • Statistical estimation in varying coefficient models
    • Fan, J. and Zhang, W. (1999) Statistical estimation in varying coefficient models. Am. Statist., 27, 1491-1518.
    • (1999) Am. Statist. , vol.27 , pp. 1491-1518
    • Fan, J.1    Zhang, W.2
  • 10
    • 0001106460 scopus 로고
    • Residual variance and residual pattern in nonlinear regression
    • Gasser, T., Sroka, L. and Jennen-Steinmetz, C. (1986) Residual variance and residual pattern in nonlinear regression. Biometrika, 73, 625-633.
    • (1986) Biometrika , vol.73 , pp. 625-633
    • Gasser, T.1    Sroka, L.2    Jennen-Steinmetz, C.3
  • 11
    • 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
  • 12
    • 0001257006 scopus 로고
    • Varying-coefficient models
    • Hastie, T. and Tibshirani, R. (1993) Varying-coefficient models (with discussion). J. R. Statist. Soc. B, 55, 757-796.
    • (1993) J. R. Statist. Soc. B , vol.55 , pp. 757-796
    • Hastie, T.1    Tibshirani, R.2
  • 13
    • 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
  • 15
    • 0002658412 scopus 로고
    • A fast algorithm for signal extraction, influence and cross-validation in state space models
    • Kohn, R. and Ansley, C. F. (1989) A fast algorithm for signal extraction, influence and cross-validation in state space models. Biometrika, 76, 65-79.
    • (1989) Biometrika , vol.76 , pp. 65-79
    • Kohn, R.1    Ansley, C.F.2
  • 16
    • 0001355852 scopus 로고
    • The performance of cross-validation and maximum likelihood estimators of spline smoothing parameters
    • Kohn, R., Ansley, C. F. and Tharm, D. (1991) The performance of cross-validation and maximum likelihood estimators of spline smoothing parameters. J. Am. Statist. Ass., 86, 1042-1050.
    • (1991) J. Am. Statist. Ass. , vol.86 , pp. 1042-1050
    • Kohn, R.1    Ansley, C.F.2    Tharm, D.3
  • 17
    • 3543023777 scopus 로고    scopus 로고
    • Equivalent kernels of smoothing splines in nonparametric regression for clustered data
    • Lin, X., Wang, N., Welsh, A. and Carroll, R. J. (2004) Equivalent kernels of smoothing splines in nonparametric regression for clustered data. Biometrika, 91, 177-193.
    • (2004) Biometrika , vol.91 , pp. 177-193
    • Lin, X.1    Wang, N.2    Welsh, A.3    Carroll, R.J.4
  • 18
    • 33845606053 scopus 로고
    • Bayesian confidence intervals for smoothing splines
    • Nychka, D. (1988) Bayesian confidence intervals for smoothing splines. J. Am. Statist. Ass., 83, 1134-1143.
    • (1988) J. Am. Statist. Ass. , vol.83 , pp. 1134-1143
    • Nychka, D.1
  • 19
    • 84972545853 scopus 로고
    • A statistical perspective on ill-posed inverse problems
    • O'Sullivan, F. (1986) A statistical perspective on ill-posed inverse problems. Statist. Sci., 1, 502-527.
    • (1986) Statist. Sci. , vol.1 , pp. 502-527
    • O'Sullivan, F.1
  • 20
    • 3543010066 scopus 로고    scopus 로고
    • Asymptotic properties of smoothing parameter selection in spline smoothing
    • University of Missouri, Columbia
    • Speckman, P. and Sun, D. (2001) Asymptotic properties of smoothing parameter selection in spline smoothing. Manuscript. University of Missouri, Columbia.
    • (2001) Manuscript
    • Speckman, P.1    Sun, D.2
  • 21
    • 0000450226 scopus 로고
    • Improper priors, spline smoothing and the problem of guarding against model errors in regression
    • Wahba, G. (1978) Improper priors, spline smoothing and the problem of guarding against model errors in regression. J. R. Statist. Soc. B, 40, 364-372.
    • (1978) J. R. Statist. Soc. B , vol.40 , pp. 364-372
    • Wahba, G.1
  • 22
    • 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. Statist. Soc. B, 45, 133-150.
    • (1983) J. R. Statist. Soc. B , vol.45 , pp. 133-150
    • Wahba, G.1
  • 23
    • 0003466536 scopus 로고
    • Philadelphia: Society for Industrial and Applied Mathematics
    • Wahba, G. (1990) Spline Models for Observational Data. Philadelphia: Society for Industrial and Applied Mathematics.
    • (1990) Spline Models for Observational Data
    • Wahba, G.1
  • 24
    • 3543029715 scopus 로고    scopus 로고
    • Marginal nonparametric kernel regression accounting for within-subject correlation
    • Wang, N. (2003) Marginal nonparametric kernel regression accounting for within-subject correlation. Biometrika, 90, 43-52.
    • (2003) Biometrika , vol.90 , pp. 43-52
    • Wang, N.1


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