메뉴 건너뛰기




Volumn 96, Issue 454, 2001, Pages 605-619

Smoothing spline estimation for varying coefficient models with repeatedly measured dependent variables

Author keywords

Asymptotic normality; Clinical trials; Confidence bands; Longitudinal data; Mean squared errors; Smoothing parameters

Indexed keywords


EID: 1542783734     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1198/016214501753168280     Document Type: Article
Times cited : (185)

References (35)
  • 4
    • 0000128671 scopus 로고
    • Asymptotics for M-type Smoothing Splines
    • Cox, D. D. (1983), Asymptotics for M-type Smoothing Splines, The Annals of Statistics, 11, 530–551.
    • (1983) The Annals of Statistics , vol.11 , pp. 530-551
    • Cox, D.D.1
  • 6
    • 0024205607 scopus 로고
    • An Approach to the Analysis of Repeated Measurements
    • Diggle, P. J. (1988), An Approach to the Analysis of Repeated Measurements, Biometrics, 44, 959–971.
    • (1988) Biometrics , vol.44 , pp. 959-971
    • Diggle, P.J.1
  • 12
    • 0034355052 scopus 로고    scopus 로고
    • Functional Linear Models for Longitudinal Data
    • Ser. B
    • Fan, J., and Zhang, J.-T. (2000), Functional Linear Models for Longitudinal Data. Journal of the Royal Statistical Society, Ser. B, 62, 303–322.
    • (2000) Journal of the Royal Statistical Society , vol.62 , pp. 303-322
    • Fan, J.1    Zhang, J.-T.2
  • 13
    • 0018189433 scopus 로고
    • Clonidine Blocks Acute Opiate-Withdrawal Symptoms
    • Gold, M. S., Redmond, D. E., and Kleber, H. D. (1978), Clonidine Blocks Acute Opiate-Withdrawal Symptoms. The Lancet, 599–601.
    • (1978) The Lancet , pp. 599-601
    • Gold, M.S.1    Redmond, D.E.2    Kleber, H.D.3
  • 16
    • 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
  • 17
    • 0020333131 scopus 로고
    • Random Effects Models For Longitudinal Data
    • Laird, N. M., and Ware, J. H. (1982), Random Effects Models For Longitudinal Data, Biometrics, 38, 963–974.
    • (1982) Biometrics , vol.38 , pp. 963-974
    • Laird, N.M.1    Ware, J.H.2
  • 18
    • 77649173768 scopus 로고
    • Longitudinal Data Analysis Using Generalized Linear Models
    • Liang, K.-Y., and Zeger, S. L. (1986), Longitudinal Data Analysis Using Generalized Linear Models, Biometrika, 73, 13–22.
    • (1986) Biometrika , vol.73 , pp. 13-22
    • Liang, K.-Y.1    Zeger, S.L.2
  • 19
    • 1542427460 scopus 로고    scopus 로고
    • Nonparametric Function Estimation for Clustered Data When the Predictor is Measured Without/With Error
    • Lin, X., and Carroll, R. J. (2000), Nonparametric Function Estimation for Clustered Data When the Predictor is Measured Without/With Error, Journal of the American Statistical Association, 95, 520–543.
    • (2000) Journal of the American Statistical Association , vol.95 , pp. 520-543
    • Lin, X.1    Carroll, R.J.2
  • 20
    • 0000971706 scopus 로고
    • A Comparison of a Spline Estimate to its Equivalent Kernel Estimate
    • Messer, K. (1991), A Comparison of a Spline Estimate to its Equivalent Kernel Estimate, The Annals of Statistics 19, 817–829.
    • (1991) The Annals of Statistics , vol.19 , pp. 817-829
    • Messer, K.1
  • 21
    • 21144469931 scopus 로고
    • A New Class of Kernels for Nonparametric Curve Estimation
    • Messer, K., and Goldstein, L. (1993), A New Class of Kernels for Nonparametric Curve Estimation, The Annals of Statistics, 21, 179–195.
    • (1993) The Annals of Statistics , vol.21 , pp. 179-195
    • Messer, K.1    Goldstein, L.2
  • 22
    • 0002312182 scopus 로고
    • Rates of Convergence in Semiparametric Modeling of Longitudinal Data
    • Moyeed, R. A., and Diggle, P. J. (1994), Rates of Convergence in Semiparametric Modeling of Longitudinal Data, Australian Journal of Statistics, 36, 75–93.
    • (1994) Australian Journal of Statistics , vol.36 , pp. 75-93
    • Moyeed, R.A.1    Diggle, P.J.2
  • 23
    • 0004004008 scopus 로고
    • Nonparametric Regression Analysis of Longitudinal Data
    • Berlin: Springer-Verlag
    • Müller, H.-G. (1988), Nonparametric Regression Analysis of Longitudinal Data, Lecture Notes in Statistics, 46, Berlin: Springer-Verlag.
    • (1988) Lecture Notes in Statistics , pp. 46
    • Müller, H.-G.1
  • 24
    • 21844509828 scopus 로고
    • Splines as Local Smoothers
    • Nychka, D. (1995), Splines as Local Smoothers, The Annals of Statistics, 23, 1175–1197.
    • (1995) The Annals of Statistics , vol.23 , pp. 1175-1197
    • Nychka, D.1
  • 25
    • 0001597980 scopus 로고
    • Estimating the Mean and Covariance Structure Nonparametrically When the Data are Curves
    • Ser. B
    • Rice, J. A., and Silverman, B. W. (1991), Estimating the Mean and Covariance Structure Nonparametrically When the Data are Curves, Journal of the Royal Statistical Society, Ser. B, 53, 233–243.
    • (1991) Journal of the Royal Statistical Society , vol.53 , pp. 233-243
    • Rice, J.A.1    Silverman, B.W.2
  • 26
    • 21844518517 scopus 로고
    • Multivariate Weighted Least Squares Regression
    • Ruppert, D., and Wand, M. P. (1994), Multivariate Weighted Least Squares Regression, The Annals of Statistics, 22, 1346–1370.
    • (1994) The Annals of Statistics , vol.22 , pp. 1346-1370
    • Ruppert, D.1    Wand, M.P.2
  • 28
    • 0000997747 scopus 로고
    • Spline Smoothing: The Equivalent Variable Kernel Method
    • Silverman, B. W. (1984), Spline Smoothing: The Equivalent Variable Kernel Method, The Annals of Statistics, 12, 898–916.
    • (1984) The Annals of Statistics , vol.12 , pp. 898-916
    • Silverman, B.W.1
  • 31
    • 0000238658 scopus 로고
    • Smoothing Noisy Data With Spline Functions
    • Wahba, G. (1975), Smoothing Noisy Data With Spline Functions, Numerische Mathematik, 24, 383–393.
    • (1975) Numerische Mathematik , vol.24 , pp. 383-393
    • Wahba, G.1
  • 32
    • 85012451636 scopus 로고
    • CBMS-NSF Regional Conference Series in Applied Mathematics, 59, Philadelphia: Society for Industrial and Applied Mathematics
    • Wahba, G. (1990), Spline Models for Observational Data, CBMS-NSF Regional Conference Series in Applied Mathematics, 59, Philadelphia: Society for Industrial and Applied Mathematics.
    • (1990) Spline Models for Observational Data
    • Wahba, G.1
  • 33
    • 0034399378 scopus 로고    scopus 로고
    • Kernel Smoothing on Varying Coefficient Models With Longitudinal Dependent Variable
    • Wu, C. O., and Chiang, C.-T. (2000), Kernel Smoothing on Varying Coefficient Models With Longitudinal Dependent Variable, Statistica Sinica, 10, 433–456.
    • (2000) Statistica Sinica , vol.10 , pp. 433-456
    • Wu, C.O.1    Chiang, C.-T.2
  • 34
    • 0032283833 scopus 로고    scopus 로고
    • Asymptotic Confidence Regions for Kernel Smoothing of a Varying-Coefficient Model With Longitudinal Data
    • Wu, C. O., Chiang, C.-T., and Hoover, D. R. (1998), Asymptotic Confidence Regions for Kernel Smoothing of a Varying-Coefficient Model With Longitudinal Data, Journal of the American Statistical Association, 93, 1388–1402.
    • (1998) Journal of the American Statistical Association , vol.93 , pp. 1388-1402
    • Wu, C.O.1    Chiang, C.-T.2    Hoover, D.R.3
  • 35
    • 0028153316 scopus 로고
    • Semiparametric Models for Longitudinal Data With Application to CD4 Cell Numbers in HIV Seroconverters
    • Zeger, S. L., and Diggle, P. J. (1994), Semiparametric Models for Longitudinal Data With Application to CD4 Cell Numbers in HIV Seroconverters, Biometrics, 50, 689–699.
    • (1994) Biometrics , vol.50 , pp. 689-699
    • Zeger, S.L.1    Diggle, P.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.