메뉴 건너뛰기




Volumn , Issue , 2008, Pages 223-251

Functional modeling of longitudinal data

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85057445672     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (34)

References (90)
  • 3
    • 0032356568 scopus 로고    scopus 로고
    • Smoothing spline models for the analysis of nested and crossed samples of curves
    • Brumback, B. and Rice, J. (1998). Smoothing spline models for the analysis of nested and crossed samples of curves. Journal of the American Statistical Association 93, 961–976.
    • (1998) Journal of the American Statistical Association , vol.93 , pp. 961-976
    • Brumback, B.1    Rice, J.2
  • 4
    • 33749415690 scopus 로고    scopus 로고
    • Functional ANOVA with random functional effects: An application to event-related potentials modelling for electroencephalograms analysis
    • Bugli, C. and Lambert, P. (2006). Functional ANOVA with random functional effects: An application to event-related potentials modelling for electroencephalograms analysis. Statistics in Medicine 25, 3718–3739.
    • (2006) Statistics in Medicine , vol.25 , pp. 3718-3739
    • Bugli, C.1    Lambert, P.2
  • 5
    • 33847349358 scopus 로고    scopus 로고
    • Prediction in functional linear regression
    • Cai, T. and Hall, P. (2006). Prediction in functional linear regression. Annals of Statistics 34, 2159–2179.
    • (2006) Annals of Statistics , vol.34 , pp. 2159-2179
    • Cai, T.1    Hall, P.2
  • 9
    • 0022806525 scopus 로고
    • Principal modes of variation for processes with continuous sample curves
    • Castro, P. E., Lawton, W. H., and Sylvestre, E. A. (1986). Principal modes of variation for processes with continuous sample curves. Technometrics 28, 329–337.
    • (1986) Technometrics , vol.28 , pp. 329-337
    • Castro, P.E.1    Lawton, W.H.2    Sylvestre, E.A.3
  • 10
    • 25144525561 scopus 로고    scopus 로고
    • Estimated estimating equations: Semiparametric inference for clustered/longitudinal data
    • Chiou, J. M. and Müller, H. G. (2005). Estimated estimating equations: Semiparametric inference for clustered/longitudinal data. Journal of the Royal Statistical Society, Series B 67, 531–553.
    • (2005) Journal of the Royal Statistical Society, Series B , vol.67 , pp. 531-553
    • Chiou, J.M.1    Müller, H.G.2
  • 13
    • 0348229219 scopus 로고    scopus 로고
    • A functional multiplicative effects model for longitudinal data, with application to reproductive histories of female medflies
    • Chiou, J. M., Müller, H. G., Wang, J. L., and Carey, J. R. (2003). A functional multiplicative effects model for longitudinal data, with application to reproductive histories of female medflies. Statistica Sinica 13, 1119–1133.
    • (2003) Statistica Sinica , vol.13 , pp. 1119-1133
    • Chiou, J.M.1    Müller, H.G.2    Wang, J.L.3    Carey, J.R.4
  • 15
    • 0000957849 scopus 로고
    • Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
    • Dauxois, J., Pousse, A., and Romain, Y. (1982). Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference. Journal of Multivariate Analysis 12, 136–154.
    • (1982) Journal of Multivariate Analysis , vol.12 , pp. 136-154
    • Dauxois, J.1    Pousse, A.2    Romain, Y.3
  • 20
    • 0034355052 scopus 로고    scopus 로고
    • Two-step estimation of functional linear models with applications to longitudinal data
    • Fan, J. and Zhang, J. (2000). Two-step estimation of functional linear models with applications to longitudinal data. Journal of the Royal Statistical Society, Series B 62, 303–322.
    • (2000) Journal of the Royal Statistical Society, Series B , vol.62 , pp. 303-322
    • Fan, J.1    Zhang, J.2
  • 21
    • 0031197999 scopus 로고    scopus 로고
    • Regression analysis for a functional response
    • Faraway, J. J. (1997). Regression analysis for a functional response. Technometrics 39, 254–262.
    • (1997) Technometrics , vol.39 , pp. 254-262
    • Faraway, J.J.1
  • 24
    • 0001257368 scopus 로고
    • Estimating regression functions and their derivatives by the kernel method
    • Gasser, T. and Müller, H. G. (1984). Estimating regression functions and their derivatives by the kernel method. Scandinavian Journal of Statistics 11, 171–184.
    • (1984) Scandinavian Journal of Statistics , vol.11 , pp. 171-184
    • Gasser, T.1    Müller, H.G.2
  • 27
    • 0021927316 scopus 로고
    • An analysis of the mid-growth spurt and of the adolescent growth spurt based on acceleration
    • Gasser, T., Müller, H. G., Köhler, W., Prader, A., Largo, R., and Molinari, L. (1985). An analysis of the mid-growth spurt and of the adolescent growth spurt based on acceleration. Annals of Human Biology 12, 129–148.
    • (1985) Annals of Human Biology , vol.12 , pp. 129-148
    • Gasser, T.1    Müller, H.G.2    Köhler, W.3    Prader, A.4    Largo, R.5    Molinari, L.6
  • 29
    • 27944498298 scopus 로고    scopus 로고
    • Nonparametric maximum likelihood estimation of the structural mean of a sample of curves
    • Gervini, D. and Gasser, T. (2005). Nonparametric maximum likelihood estimation of the structural mean of a sample of curves. Biometrika 92, 801–820.
    • (2005) Biometrika , vol.92 , pp. 801-820
    • Gervini, D.1    Gasser, T.2
  • 31
    • 33747153005 scopus 로고    scopus 로고
    • Properties of principal component methods for functional and longitudinal data analysis
    • Hall, P., Müller, H. G., and Wang, J. L. (2006). Properties of principal component methods for functional and longitudinal data analysis. Annals of Statistics 34, 1493–1517.
    • (2006) Annals of Statistics , vol.34 , pp. 1493-1517
    • Hall, P.1    Müller, H.G.2    Wang, J.L.3
  • 33
    • 0038734117 scopus 로고    scopus 로고
    • Functional canonical analysis for square integrable stochastic processes
    • He, G., Müller, H. G., and Wang, J. L. (2003). Functional canonical analysis for square integrable stochastic processes. Journal of Multivariate Analysis 85, 54–77.
    • (2003) Journal of Multivariate Analysis , vol.85 , pp. 54-77
    • He, G.1    Müller, H.G.2    Wang, J.L.3
  • 35
    • 0032887209 scopus 로고    scopus 로고
    • Marginally specified logistic-normal models for longitudinal binary data
    • Heagerty, P. J. (1999). Marginally specified logistic-normal models for longitudinal binary data. Biometrics 55, 688–698.
    • (1999) Biometrics , vol.55 , pp. 688-698
    • Heagerty, P.J.1
  • 36
    • 0001780119 scopus 로고    scopus 로고
    • Marginalized multilevel models and likelihood inference
    • Heagerty, P. J. and Zeger, S. L. (2000). Marginalized multilevel models and likelihood inference. Statistical Science 15, 1–26.
    • (2000) Statistical Science , vol.15 , pp. 1-26
    • Heagerty, P.J.1    Zeger, S.L.2
  • 37
    • 33744730993 scopus 로고    scopus 로고
    • Comparing the shapes of regression functions
    • Heckman, N. and Zamar, R. (2000). Comparing the shapes of regression functions. Biometrika 87, 135–144.
    • (2000) Biometrika , vol.87 , pp. 135-144
    • Heckman, N.1    Zamar, R.2
  • 38
    • 0000107975 scopus 로고
    • Relations between two sets of variates
    • Hotelling, H. (1936). Relations between two sets of variates. Biometrika 28, 321–377.
    • (1936) Biometrika , vol.28 , pp. 321-377
    • Hotelling, H.1
  • 40
    • 0001699048 scopus 로고    scopus 로고
    • Principal component models for sparse functional data
    • James, G., Hastie, T. G., and Sugar, C. A. (2001). Principal component models for sparse functional data. Biometrika 87, 587–602.
    • (2001) Biometrika , vol.87 , pp. 587-602
    • James, G.1    Hastie, T.G.2    Sugar, C.A.3
  • 42
    • 21444452106 scopus 로고    scopus 로고
    • A simple nonnegative boundary correction for kernel density estimation
    • Jones, M. C. and Foster, P. J. (1996). A simple nonnegative boundary correction for kernel density estimation. Statistica Sinica 6, 1005–1013.
    • (1996) Statistica Sinica , vol.6 , pp. 1005-1013
    • Jones, M.C.1    Foster, P.J.2
  • 43
    • 84887505391 scopus 로고
    • Displaying the important features of large collections of similar curves
    • Jones, M. C. and Rice, J. (1992). Displaying the important features of large collections of similar curves. American Statistician 46, 140–145.
    • (1992) American Statistician , vol.46 , pp. 140-145
    • Jones, M.C.1    Rice, J.2
  • 44
    • 1542784576 scopus 로고    scopus 로고
    • Semiparametric nonlinear mixed-effects models and their applications
    • Ke, C., andWang, Y. (2001). Semiparametric nonlinear mixed-effects models and their applications. Journal of the American Statistical Association 96, 1272–1281.
    • (2001) Journal of the American Statistical Association , vol.96 , pp. 1272-1281
    • Ke, C.1    Wang, Y.2
  • 45
    • 0024330924 scopus 로고
    • A quantitative genetic model for growth, shape, reaction norms and other infinite-dimensional characters
    • Kirkpatrick, M., and Heckman, N. (1989). A quantitative genetic model for growth, shape, reaction norms and other infinite-dimensional characters. Journal of Mathematical Biology 27, 429–450.
    • (1989) Journal of Mathematical Biology , vol.27 , pp. 429-450
    • Kirkpatrick, M.1    Heckman, N.2
  • 46
    • 21144472058 scopus 로고
    • Statistical tools to analyze data representing a sample of curves
    • Kneip, A. and Gasser, T. (1992). Statistical tools to analyze data representing a sample of curves. Annals of Statistics 16, 82–112.
    • (1992) Annals of Statistics , vol.16 , pp. 82-112
    • Kneip, A.1    Gasser, T.2
  • 47
    • 33749651702 scopus 로고    scopus 로고
    • Time ordering of gene co-expression
    • Leng, X. and Müller, H. G. (2006). Time ordering of gene co-expression. Biostatistics 7, 569–584.
    • (2006) Biostatistics , vol.7 , pp. 569-584
    • Leng, X.1    Müller, H.G.2
  • 49
    • 3543023777 scopus 로고    scopus 로고
    • Equivalent kernels of smoothing splines in nonparametric regression for clustered longitudinal data
    • Lin, X., Wang, N., Welsh, A. H., and Carroll, R. J. (2004). Equivalent kernels of smoothing splines in nonparametric regression for clustered longitudinal data. Biometrika 91, 177–193.
    • (2004) Biometrika , vol.91 , pp. 177-193
    • Lin, X.1    Wang, N.2    Welsh, A.H.3    Carroll, R.J.4
  • 50
    • 0029119467 scopus 로고
    • Self-modelling with random shift and scale parameters and a free knot spline shape function
    • Lindstrom, M. J. (1995). Self-modelling with random shift and scale parameters and a free knot spline shape function. Statistics in Medicine 14, 2009–2021.
    • (1995) Statistics in Medicine , vol.14 , pp. 2009-2021
    • Lindstrom, M.J.1
  • 51
    • 0142148208 scopus 로고    scopus 로고
    • Modes and clustering for time-warped gene expression profile data
    • Liu, X. and Müller, H. G. (2003). Modes and clustering for time-warped gene expression profile data. Bioinformatics 19, 1937–1944.
    • (2003) Bioinformatics , vol.19 , pp. 1937-1944
    • Liu, X.1    Müller, H.G.2
  • 52
    • 4944222926 scopus 로고    scopus 로고
    • Functional convex averaging and synchronization for time-warped random curves
    • Liu, X. and Müller, H. G. (2004). Functional convex averaging and synchronization for time-warped random curves. Journal of the American Statistical Association 99, 687–699.
    • (2004) Journal of the American Statistical Association , vol.99 , pp. 687-699
    • Liu, X.1    Müller, H.G.2
  • 57
    • 0000423464 scopus 로고
    • Smooth optimum kernel estimators near endpoints
    • Müller, H. G. (1991). Smooth optimum kernel estimators near endpoints. Biometrika 78, 521–530.
    • (1991) Biometrika , vol.78 , pp. 521-530
    • Müller, H.G.1
  • 58
    • 19744371683 scopus 로고    scopus 로고
    • Functional modeling and classification of longitudinal data (With discussion)
    • Müller, H. G. (2005). Functional modeling and classification of longitudinal data (with discussion). Scandinavian Journal of Statistics 32, 223–246.
    • (2005) Scandinavian Journal of Statistics , vol.32 , pp. 223-246
    • Müller, H.G.1
  • 59
  • 60
    • 19744368468 scopus 로고    scopus 로고
    • Time-varying functional regression for predicting remaining lifetime distributions from longitudinal trajectories
    • Müller, H. G. and Zhang, Y. (2005). Time-varying functional regression for predicting remaining lifetime distributions from longitudinal trajectories. Biometrics 61, 1064–1075.
    • (2005) Biometrics , vol.61 , pp. 1064-1075
    • Müller, H.G.1    Zhang, Y.2
  • 68
    • 0002289285 scopus 로고
    • Some statistical methods for the comparison of growth curves
    • Rao, C. R. (1958). Some statistical methods for the comparison of growth curves. Biometrics 14, 1–17.
    • (1958) Biometrics , vol.14 , pp. 1-17
    • Rao, C.R.1
  • 69
    • 8644231058 scopus 로고    scopus 로고
    • Functional and longitudinal data analysis: Perspectives on smoothing
    • Rice, J. (2004). Functional and longitudinal data analysis: Perspectives on smoothing. Statistica Sinica 14, 631–647.
    • (2004) Statistica Sinica , vol.14 , pp. 631-647
    • Rice, J.1
  • 70
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • Rice, J. and Silverman, B. (1991). Estimating the mean and covariance structure nonparametrically when the data are curves. Journal of the Royal Statistical Society, Series B 53, 233–243.
    • (1991) Journal of the Royal Statistical Society, Series B , vol.53 , pp. 233-243
    • Rice, J.1    Silverman, B.2
  • 71
    • 0035106736 scopus 로고    scopus 로고
    • Nonparametric mixed effects models for unequally sampled noisy curves
    • Rice, J. and Wu, C. (2001). Nonparametric mixed effects models for unequally sampled noisy curves. Biometrics 57, 253–259.
    • (2001) Biometrics , vol.57 , pp. 253-259
    • Rice, J.1    Wu, C.2
  • 72
    • 0035649918 scopus 로고    scopus 로고
    • Nonparametric maximum likelihood estimation for shifted curves
    • Rønn, B. B. (2001). Nonparametric maximum likelihood estimation for shifted curves. Journal of the Royal Statistical Society, Series B 63, 243–259.
    • (2001) Journal of the Royal Statistical Society, Series B , vol.63 , pp. 243-259
    • Rønn, B.B.1
  • 73
    • 0001652945 scopus 로고    scopus 로고
    • Finite sample variance of local polynomials: Analysis and solutions
    • Seifert, B. and Gasser, T. (1996). Finite sample variance of local polynomials: Analysis and solutions. Journal of the American Statistical Association 91, 267–275.
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 267-275
    • Seifert, B.1    Gasser, T.2
  • 75
    • 0032142646 scopus 로고    scopus 로고
    • Relationship between physical and biological variables during the upwelling period in Monterey Bay, CA
    • Service, S. K., Rice, J. A., and Chavez, F. P. (1998). Relationship between physical and biological variables during the upwelling period in Monterey Bay, CA. Deep-Sea Research II — Topical Studies in Oceanography 45, 1669–1685.
    • (1998) Deep-Sea Research II — Topical Studies in Oceanography , vol.45 , pp. 1669-1685
    • Service, S.K.1    Rice, J.A.2    Chavez, F.P.3
  • 76
    • 0041111614 scopus 로고    scopus 로고
    • An analysis of paediatric CD4 counts for acquired immune deficiency syndrome using flexible random curves
    • Shi, M., Weiss, R. E., and Taylor, J. M. G. (1996). An analysis of paediatric CD4 counts for acquired immune deficiency syndrome using flexible random curves. Applied Statistics 45, 151–163.
    • (1996) Applied Statistics , vol.45 , pp. 151-163
    • Shi, M.1    Weiss, R.E.2    Taylor, J.3
  • 78
    • 0028790585 scopus 로고
    • Incorporating parametric effects into functional principal components analysis
    • Silverman, B. W. (1995). Incorporating parametric effects into functional principal components analysis. Journal of the Royal Statistical Society, Series B 57, 673–689.
    • (1995) Journal of the Royal Statistical Society, Series B , vol.57 , pp. 673-689
    • Silverman, B.W.1
  • 81
    • 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
  • 82
    • 0346733317 scopus 로고    scopus 로고
    • Shape-invariant modeling of circadian rhythms with random effects and smoothing spline ANOVA decompositions
    • Wang, Y., Ke, C., and Brown, M. B. (2003). Shape-invariant modeling of circadian rhythms with random effects and smoothing spline ANOVA decompositions. Biometrics 59, 804–812.
    • (2003) Biometrics , vol.59 , pp. 804-812
    • Wang, Y.1    Ke, C.2    Brown, M.B.3
  • 83
    • 0001762424 scopus 로고
    • Smooth regression analysis
    • Watson, G. S. (1964). Smooth regression analysis. Sankhyā, Series A 26, 359–372.
    • (1964) Sankhyā, Series A , vol.26 , pp. 359-372
    • Watson, G.S.1
  • 84
    • 0036896305 scopus 로고    scopus 로고
    • Nonparametric varying coefficient models for the analysis of longitudinal data
    • Wu, C. O. and Yu, K. F. (2002). Nonparametric varying coefficient models for the analysis of longitudinal data. International Statistical Review 70, 373–393.
    • (2002) International Statistical Review , vol.70 , pp. 373-393
    • Wu, C.O.1    Yu, K.F.2
  • 85
  • 87
    • 19744369661 scopus 로고    scopus 로고
    • Functional linear regression analysis for longitudinal data
    • Yao, F., Müller, H. G., and Wang, J. L. (2005b). Functional linear regression analysis for longitudinal data. Annals of Statistics 33, 2873–2903.
    • (2005) Annals of Statistics , vol.33 , pp. 2873-2903
    • Yao, F.1    Müller, H.G.2    Wang, J.L.3
  • 88
    • 0041332955 scopus 로고    scopus 로고
    • Shrinkage estimation for functional principal component scores with application to the population kinetics of plasma folate
    • Yao, F., Müller, H. G., Clifford, A. J., Dueker, S. R., Follett, J., Lin, Y., Buchholz, B. A., and Vogel, J. S. (2003). Shrinkage estimation for functional principal component scores with application to the population kinetics of plasma folate. Biometrics 59, 676–685.
    • (2003) Biometrics , vol.59 , pp. 676-685
    • Yao, F.1    Müller, H.G.2    Clifford, A.J.3    Dueker, S.R.4    Follett, J.5    Lin, Y.6    Buchholz, B.A.7    Vogel, J.S.8
  • 89
    • 0024205301 scopus 로고
    • Models for longitudinal data: A generalized estimating equation approach
    • Zeger, S. L., Liang, K. Y., and Albert, P. S. (1988). Models for longitudinal data: A generalized estimating equation approach. Biometrics, 44, 1049–1060.
    • (1988) Biometrics , vol.44 , pp. 1049-1060
    • Zeger, S.L.1    Liang, K.Y.2    Albert, P.S.3
  • 90
    • 8644276476 scopus 로고    scopus 로고
    • The functional data analysis view of longitudinal data
    • Zhao, X., Marron, J. S., and Wells, M. T. (2004). The functional data analysis view of longitudinal data. Statistica Sinica 14, 789–808.
    • (2004) Statistica Sinica , vol.14 , pp. 789-808
    • Zhao, X.1    Marron, J.S.2    Wells, M.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.