메뉴 건너뛰기




Volumn 19, Issue 1, 2010, Pages 1-29

Dynamic relations for sparsely sampled Gaussian processes

Author keywords

Derivatives; Functional data analysis; Gaussian process

Indexed keywords


EID: 77950341635     PISSN: 11330686     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11749-009-0176-4     Document Type: Article
Times cited : (11)

References (85)
  • 1
    • 77950338400 scopus 로고
    • Topics in stochastic processes
    • New York: Academic Press [Harcourt Brace Jovanovich Publishers]
    • Ash RB, Gardner MF (1975) Topics in stochastic processes. Probability and mathematical statistics, vol 27. Academic Press [Harcourt Brace Jovanovich Publishers], New York.
    • (1975) Probability and Mathematical Statistics , vol.27
    • Ash, R.B.1    Gardner, M.F.2
  • 2
    • 0001181674 scopus 로고
    • Principal components analysis of sampled functions
    • Besse P, Ramsay JO (1986) Principal components analysis of sampled functions. Psychometrika 51: 285-311.
    • (1986) Psychometrika , vol.51 , pp. 285-311
    • Besse, P.1    Ramsay, J.O.2
  • 3
    • 33847349358 scopus 로고    scopus 로고
    • Prediction in functional linear regression
    • Cai T, Hall P (2006) Prediction in functional linear regression. Ann Stat 34: 2159-2179.
    • (2006) Ann Stat , vol.34 , pp. 2159-2179
    • Cai, T.1    Hall, P.2
  • 4
    • 0038784362 scopus 로고    scopus 로고
    • Testing hypotheses in the functional linear model
    • Cardot H, Ferraty F, Mas A, Sarda P (2003a) Testing hypotheses in the functional linear model. Scand J Stat 30: 241-255.
    • (2003) Scand J Stat , vol.30 , pp. 241-255
    • Cardot, H.1    Ferraty, F.2    Mas, A.3    Sarda, P.4
  • 5
    • 0041459525 scopus 로고    scopus 로고
    • Spline estimators for the functional linear model
    • Cardot H, Ferraty F, Sarda P (2003b) Spline estimators for the functional linear model. Stat Sin 13: 571-591.
    • (2003) Stat Sin , vol.13 , pp. 571-591
    • Cardot, H.1    Ferraty, F.2    Sarda, P.3
  • 6
    • 34247396181 scopus 로고    scopus 로고
    • Smoothing splines estimators in functional linear regression with errors-in-variables
    • Cardot H, Crambes C, Kneip A, Sarda P (2007) Smoothing splines estimators in functional linear regression with errors-in-variables. Comput Stat Data Anal 51: 4832-4848.
    • (2007) Comput Stat Data Anal , vol.51 , pp. 4832-4848
    • Cardot, H.1    Crambes, C.2    Kneip, A.3    Sarda, P.4
  • 7
    • 0022806525 scopus 로고
    • Principal modes of variation for processes with continuous sample curves
    • Castro PE, Lawton WH, Sylvestre EA (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
  • 8
    • 1542783734 scopus 로고    scopus 로고
    • Smoothing spline estimation for varying coefficient models with repeatedly measured dependent variables
    • Chiang C-T, Rice JA, Wu CO (2001) Smoothing spline estimation for varying coefficient models with repeatedly measured dependent variables. J Am Stat Assoc 96: 605-619.
    • (2001) J Am Stat Assoc , vol.96 , pp. 605-619
    • Chiang, C.-T.1    Rice, J.A.2    Wu, C.O.3
  • 9
    • 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, Carey JR (2003) A functional multiplicative effects model for longitudinal data, with application to reproductive histories of female medflies. Stat Sin 13: 1119-1133.
    • (2003) Stat Sin , vol.13 , pp. 1119-1133
    • Chiou, J.-M.1    Müller, H.-G.2    Wang, J.-L.3    Carey, J.R.4
  • 11
    • 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 Stat 30: 285-300.
    • (2002) Can J Stat , vol.30 , pp. 285-300
    • Cuevas, A.1    Febrero, M.2    Fraiman, R.3
  • 12
    • 0000957849 scopus 로고
    • Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
    • Dauxois J, Pousse A, Romain Y (1982) Asymptotic theory for the principal component analysis of a vector random function: some applications to statistical inference. J Multivar Anal 12: 136-154.
    • (1982) J Multivar Anal , vol.12 , pp. 136-154
    • Dauxois, J.1    Pousse, A.2    Romain, Y.3
  • 13
    • 19744377510 scopus 로고    scopus 로고
    • Dynamical correlation for multivariate longitudinal data
    • Dubin JA, Müller H-G (2005) Dynamical correlation for multivariate longitudinal data. J Am Stat Assoc 100: 872-881.
    • (2005) J Am Stat Assoc , vol.100 , pp. 872-881
    • Dubin, J.A.1    Müller, H.-G.2
  • 14
    • 2542635673 scopus 로고    scopus 로고
    • Principal component estimation of functional logistic regression: Discussion of two different approaches
    • Escabias M, Aguilera AM, Valderrama MJ (2004) Principal component estimation of functional logistic regression: discussion of two different approaches. J Nonparametr Stat 16: 365-384.
    • (2004) J Nonparametr Stat , vol.16 , pp. 365-384
    • Escabias, M.1    Aguilera, A.M.2    Valderrama, M.J.3
  • 15
    • 48249103423 scopus 로고    scopus 로고
    • Canonical correlation for stochastic processes
    • Eubank RL, Hsing T (2008) Canonical correlation for stochastic processes. Stoch Proc Appl 118: 1634-1661.
    • (2008) Stoch Proc Appl , vol.118 , pp. 1634-1661
    • Eubank, R.L.1    Hsing, T.2
  • 17
    • 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 Stat Soc, Ser B 62: 303-322.
    • (2000) J R Stat Soc, Ser B , vol.62 , pp. 303-322
    • Fan, J.1    Zhang, J.-T.2
  • 18
    • 68149148542 scopus 로고    scopus 로고
    • Statistical methods with varying coefficient models
    • Fan J, Zhang W (2008) Statistical methods with varying coefficient models. Stat Interface 1: 179-195.
    • (2008) Stat Interface , vol.1 , pp. 179-195
    • Fan, J.1    Zhang, W.2
  • 19
    • 0031197999 scopus 로고    scopus 로고
    • Regression analysis for a functional response
    • Faraway JJ (1997) Regression analysis for a functional response. Technometrics 39: 254-261.
    • (1997) Technometrics , vol.39 , pp. 254-261
    • Faraway, J.J.1
  • 20
    • 34548232194 scopus 로고    scopus 로고
    • Nonparametric regression on functional data: Inference and practical aspects
    • Ferraty F, Mas A, Vieu P (2007) Nonparametric regression on functional data: inference and practical aspects. Aust N Z J Stat 49: 459-461.
    • (2007) Aust N Z J Stat , vol.49 , pp. 459-461
    • Ferraty, F.1    Mas, A.2    Vieu, P.3
  • 22
    • 21344464179 scopus 로고
    • Searching for structure in curve samples
    • Gasser T, Kneip A (1995) Searching for structure in curve samples. J Am Stat Assoc 90: 1179-1188.
    • (1995) J Am Stat Assoc , vol.90 , pp. 1179-1188
    • Gasser, T.1    Kneip, A.2
  • 23
    • 0001257368 scopus 로고
    • Estimating regression functions and their derivatives by the kernel method
    • Gasser T, Müller H-G (1984) Estimating regression functions and their derivatives by the kernel method. Scand J Stat 11: 171-185.
    • (1984) Scand J Stat , vol.11 , pp. 171-185
    • Gasser, T.1    Müller, H.-G.2
  • 25
    • 8644249676 scopus 로고    scopus 로고
    • Self-modeling warping functions
    • Gervini D, Gasser T (2004) Self-modeling warping functions. J R Stat Soc, Ser B 66: 959-971.
    • (2004) J R Stat Soc, Ser B , vol.66 , pp. 959-971
    • Gervini, D.1    Gasser, T.2
  • 26
    • 27944498298 scopus 로고    scopus 로고
    • Nonparametric maximum likelihood estimation of the structural mean of a sample of curves
    • Gervini D, 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
  • 27
    • 0000360828 scopus 로고
    • Stochastic processes and statistical inference
    • Grenander U (1950) Stochastic processes and statistical inference. Ark Mat 1: 195-277.
    • (1950) Ark Mat , vol.1 , pp. 195-277
    • Grenander, U.1
  • 28
    • 35348874516 scopus 로고    scopus 로고
    • Methodology and convergence rates for functional linear regression
    • Hall P, Horowitz JL (2007) Methodology and convergence rates for functional linear regression. Ann Stat 35: 70-91.
    • (2007) Ann Stat , vol.35 , pp. 70-91
    • Hall, P.1    Horowitz, J.L.2
  • 29
    • 33747153005 scopus 로고    scopus 로고
    • Properties of principal component methods for functional and longitudinal data analysis
    • Hall P, Müller H-G, Wang J-L (2006) Properties of principal component methods for functional and longitudinal data analysis. Ann Stat 34: 1493-1517.
    • (2006) Ann Stat , vol.34 , pp. 1493-1517
    • Hall, P.1    Müller, H.-G.2    Wang, J.-L.3
  • 30
    • 47649117281 scopus 로고    scopus 로고
    • Modeling sparse generalized longitudinal observations with latent Gaussian processes
    • Hall P, Müller H-G, Yao F (2008) Modeling sparse generalized longitudinal observations with latent Gaussian processes. J R Stat Soc, Ser B 70: 730-723.
    • (2008) J R Stat Soc, Ser B , vol.70 , pp. 730-723
    • Hall, P.1    Müller, H.-G.2    Yao, F.3
  • 31
    • 0037993212 scopus 로고    scopus 로고
    • Extending correlation and regression from multivariate to functional data
    • In: Puri ML (ed), VSP International Science Publishers
    • He G, Müller H-G, Wang J-L (2000) Extending correlation and regression from multivariate to functional data. In: Puri ML (ed) Asymptotics in statistics and probability. VSP International Science Publishers.
    • (2000) Asymptotics in Statistics and Probability
    • He, G.1    Müller, H.-G.2    Wang, J.-L.3
  • 32
    • 0038734117 scopus 로고    scopus 로고
    • Functional canonical analysis for square integrable stochastic processes
    • He G, Müller H-G, Wang J-L (2003) Functional canonical analysis for square integrable stochastic processes. J Multivar Anal 85: 54-77.
    • (2003) J Multivar Anal , vol.85 , pp. 54-77
    • He, G.1    Müller, H.-G.2    Wang, J.-L.3
  • 33
    • 1542318562 scopus 로고    scopus 로고
    • Methods of canonical analysis for functional data
    • He G, Müller H-G, Wang J-L (2004) Methods of canonical analysis for functional data. J Stat Plann Inference 122: 141-159.
    • (2004) J Stat Plann Inference , vol.122 , pp. 141-159
    • He, G.1    Müller, H.-G.2    Wang, J.-L.3
  • 34
    • 33744730993 scopus 로고    scopus 로고
    • Comparing the shapes of regression functions
    • Heckman NE, Zamar RH (2000) Comparing the shapes of regression functions. Biometrika 87: 135-144.
    • (2000) Biometrika , vol.87 , pp. 135-144
    • Heckman, N.E.1    Zamar, R.H.2
  • 35
    • 33746302303 scopus 로고    scopus 로고
    • Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data
    • Hoover DR, Rice JA, Wu CO, 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
  • 36
    • 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
  • 37
    • 8644255231 scopus 로고    scopus 로고
    • Polynomial spline estimation and inference for varying coefficient models with longitudinal data
    • Huang JZ, Wu CO, Zhou L (2004) Polynomial spline estimation and inference for varying coefficient models with longitudinal data. Stat Sin 14: 763-788.
    • (2004) Stat Sin , vol.14 , pp. 763-788
    • Huang, J.Z.1    Wu, C.O.2    Zhou, L.3
  • 38
    • 0036020889 scopus 로고    scopus 로고
    • Generalized linear models with functional predictors
    • James GM (2002) Generalized linear models with functional predictors. J R Stat Soc, Ser B 64: 411-432.
    • (2002) J R Stat Soc, Ser B , vol.64 , pp. 411-432
    • James, G.M.1
  • 39
    • 0001699048 scopus 로고    scopus 로고
    • Principal component models for sparse functional data
    • James GM, Hastie TJ, Sugar CA (2000) Principal component models for sparse functional data. Biometrika 87: 587-602.
    • (2000) Biometrika , vol.87 , pp. 587-602
    • James, G.M.1    Hastie, T.J.2    Sugar, C.A.3
  • 40
    • 33748574883 scopus 로고    scopus 로고
    • Functional data analysis in electronic commerce research
    • Jank W, Shmueli G (2006) Functional data analysis in electronic commerce research. Stat Sci 21: 155-166.
    • (2006) Stat Sci , vol.21 , pp. 155-166
    • Jank, W.1    Shmueli, G.2
  • 41
    • 0003319339 scopus 로고
    • Zur Spektraltheorie stochastischer Prozesse
    • Karhunen K (1946) Zur Spektraltheorie stochastischer Prozesse. Ann Acad Sci Fenn, Ser A, I, Math 1946: 7.
    • (1946) Ann Acad Sci Fenn, Ser A, I, Math , vol.1946 , pp. 7
    • Karhunen, K.1
  • 43
    • 0024330924 scopus 로고
    • A quantitative genetic model for growth, shape, reaction norms, and other infinite-dimensional characters
    • Kirkpatrick M, Heckman N (1989) A quantitative genetic model for growth, shape, reaction norms, and other infinite-dimensional characters. J Math Biol 27: 429-450.
    • (1989) J Math Biol , vol.27 , pp. 429-450
    • Kirkpatrick, M.1    Heckman, N.2
  • 44
    • 54949101671 scopus 로고    scopus 로고
    • Combining registration and fitting for functional models
    • Kneip A, Ramsay JO (2008) Combining registration and fitting for functional models. J Am Stat Assoc 103: 1155-1165.
    • (2008) J Am Stat Assoc , vol.103 , pp. 1155-1165
    • Kneip, A.1    Ramsay, J.O.2
  • 46
    • 0346020392 scopus 로고    scopus 로고
    • Semiparametric regression for clustered data
    • Lin X, Carroll RJ (2001a) Semiparametric regression for clustered data. Biometrika 88: 1179-1185.
    • (2001) Biometrika , vol.88 , pp. 1179-1185
    • Lin, X.1    Carroll, R.J.2
  • 47
    • 0442312205 scopus 로고    scopus 로고
    • Semiparametric regression for clustered data using generalized estimating equations
    • Lin X, Carroll RJ (2001b) Semiparametric regression for clustered data using generalized estimating equations. J Am Stat Assoc 96: 1045-1056.
    • (2001) J Am Stat Assoc , vol.96 , pp. 1045-1056
    • Lin, X.1    Carroll, R.J.2
  • 48
    • 66549101908 scopus 로고    scopus 로고
    • Estimating derivatives for samples of sparsely observed functions, with application to on-line auction dynamics
    • Liu B, Müller H-G (2009) Estimating derivatives for samples of sparsely observed functions, with application to on-line auction dynamics. J Am Stat Assoc 104: 704-714.
    • (2009) J Am Stat Assoc , vol.104 , pp. 704-714
    • Liu, B.1    Müller, H.-G.2
  • 49
    • 0242595929 scopus 로고    scopus 로고
    • The historical functional linear model
    • Malfait N, Ramsay JO (2003) The historical functional linear model. Can J Stat 31: 115-128.
    • (2003) Can J Stat , vol.31 , pp. 115-128
    • Malfait, N.1    Ramsay, J.O.2
  • 50
    • 55849103545 scopus 로고    scopus 로고
    • Functional linear regression with derivatives
    • Mas A, Pumo B (2009) Functional linear regression with derivatives. J Nonparametr Stat 21: 19-40.
    • (2009) J Nonparametr Stat , vol.21 , pp. 19-40
    • Mas, A.1    Pumo, B.2
  • 51
    • 19744371683 scopus 로고    scopus 로고
    • Functional modelling and classification of longitudinal data
    • Müller H-G (2005) Functional modelling and classification of longitudinal data. Scand J Stat 32: 223-240.
    • (2005) Scand J Stat , vol.32 , pp. 223-240
    • Müller, H.-G.1
  • 52
    • 85057445672 scopus 로고    scopus 로고
    • Functional modeling of longitudinal data
    • Handbooks of modern statistical methods, G. Fitzmaurice, M. Davidian, G. Verbeke, and G. Molenberghs (Eds.), New York: Chapman & Hall/CRC
    • Müller H-G (2008) Functional modeling of longitudinal data. In: Fitzmaurice G, Davidian M, Verbeke G, Molenberghs G (eds) Longitudinal data analysis. Handbooks of modern statistical methods. Chapman & Hall/CRC, New York, pp 223-252.
    • (2008) Longitudinal Data Analysis , pp. 223-252
    • Müller, H.-G.1
  • 53
    • 19744372814 scopus 로고    scopus 로고
    • Generalized functional linear models
    • Müller H-G, Stadtmüller U (2005) Generalized functional linear models. Ann Stat 33: 774-805.
    • (2005) Ann Stat , vol.33 , pp. 774-805
    • Müller, H.-G.1    Stadtmüller, U.2
  • 54
    • 84967638968 scopus 로고    scopus 로고
    • Regressing longitudinal response trajectories on a covariate
    • J. Fan and H. L. Koul (Eds.), London: Festschrift for Peter Bickel Imperial College Press
    • Müller H-G, Yao F (2006) Regressing longitudinal response trajectories on a covariate. In: Fan J, Koul HL (eds) Frontiers in statistics. Festschrift for Peter Bickel Imperial College Press, London.
    • (2006) Frontiers in Statistics
    • Müller, H.-G.1    Yao, F.2
  • 55
    • 70349340213 scopus 로고    scopus 로고
    • Functional additive models
    • Müller H-G, Yao F (2008) Functional additive models. J Am Stat Assoc 103: 1534-1544.
    • (2008) J Am Stat Assoc , vol.103 , pp. 1534-1544
    • Müller, H.-G.1    Yao, F.2
  • 56
    • 19744368468 scopus 로고    scopus 로고
    • Time-varying functional regression for predicting remaining lifetime distributions from longitudinal trajectories
    • Müller H-G, 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
  • 57
    • 42949111568 scopus 로고    scopus 로고
    • Inferring gene expression dynamics via functional regression analysis
    • Müller H-G, Chiou J-M, Leng X (2008) Inferring gene expression dynamics via functional regression analysis. BMC Bioinform 9: 60.
    • (2008) BMC Bioinform , vol.9 , pp. 60
    • Müller, H.-G.1    Chiou, J.-M.2    Leng, X.3
  • 58
    • 34548786620 scopus 로고    scopus 로고
    • Inferring gene dependency networks from genomic longitudinal data: A functional data approach
    • Opgen-Rhein R, Strimmer K (2006) Inferring gene dependency networks from genomic longitudinal data: a functional data approach. REVSTAT-Stat J 4: 53-65.
    • (2006) REVSTAT-Stat J , vol.4 , pp. 53-65
    • Opgen-Rhein, R.1    Strimmer, K.2
  • 59
  • 60
    • 33745271377 scopus 로고    scopus 로고
    • Quadratic inference functions for varying-coefficient models with longitudinal data
    • Qu A, Li R (2006) Quadratic inference functions for varying-coefficient models with longitudinal data. Biometrics 62: 379-391.
    • (2006) Biometrics , vol.62 , pp. 379-391
    • Qu, A.1    Li, R.2
  • 61
    • 0001501999 scopus 로고
    • Some tools for functional data analysis
    • Ramsay JO, Dalzell CJ (1991) Some tools for functional data analysis. J R Stat Soc, Ser B 53: 539-572.
    • (1991) J R Stat Soc, Ser B , vol.53 , pp. 539-572
    • Ramsay, J.O.1    Dalzell, C.J.2
  • 65
    • 0002289285 scopus 로고
    • Some statistical methods for comparison of growth curves
    • Rao CR (1958) Some statistical methods for comparison of growth curves. Biometrics 14: 1-17.
    • (1958) Biometrics , vol.14 , pp. 1-17
    • Rao, C.R.1
  • 66
    • 33748538327 scopus 로고    scopus 로고
    • Modeling on-line art auction dynamics using functional data analysis
    • Reddy SK, Dass M (2006) Modeling on-line art auction dynamics using functional data analysis. Stat Sci 21: 179-193.
    • (2006) Stat Sci , vol.21 , pp. 179-193
    • Reddy, S.K.1    Dass, M.2
  • 67
    • 8644231058 scopus 로고    scopus 로고
    • Functional and longitudinal data analysis: Perspectives on smoothing
    • Rice JA (2004) Functional and longitudinal data analysis: perspectives on smoothing. Stat Sin 14: 631-647.
    • (2004) Stat Sin , vol.14 , pp. 631-647
    • Rice, J.A.1
  • 68
    • 0001597980 scopus 로고
    • Estimating the mean and covariance structure nonparametrically when the data are curves
    • Rice JA, Silverman BW (1991) Estimating the mean and covariance structure nonparametrically when the data are curves. J R Stat Soc, Ser B 53: 233-243.
    • (1991) J R Stat Soc, Ser B , vol.53 , pp. 233-243
    • Rice, J.A.1    Silverman, B.W.2
  • 69
    • 0035106736 scopus 로고    scopus 로고
    • Nonparametric mixed effects models for unequally sampled noisy curves
    • Rice JA, Wu CO (2001) Nonparametric mixed effects models for unequally sampled noisy curves. Biometrics 57: 253-259.
    • (2001) Biometrics , vol.57 , pp. 253-259
    • Rice, J.A.1    Wu, C.O.2
  • 70
    • 50949099191 scopus 로고    scopus 로고
    • Generalized varying coefficient models for longitudinal data
    • Şentürk D, Müller H-G (2008) Generalized varying coefficient models for longitudinal data. Biometrika 95: 653-666.
    • (2008) Biometrika , vol.95 , pp. 653-666
    • Şentürk, D.1    Müller, H.-G.2
  • 72
    • 0032142646 scopus 로고    scopus 로고
    • Relationship between physical and biological variables during the upwelling period in Monterey Bay
    • Service SK, Rice JA, Chavez FP (1998) Relationship between physical and biological variables during the upwelling period in Monterey Bay. Deep-Sea Res, Part II, Top Stud Oceanogr 45: 1669-1685.
    • (1998) Deep-Sea Res, Part II, Top Stud Oceanogr , vol.45 , pp. 1669-1685
    • Service, S.K.1    Rice, J.A.2    Chavez, F.P.3
  • 73
    • 0041111614 scopus 로고    scopus 로고
    • An analysis of paediatric CD4 counts for acquired immune deficiency syndrome using flexible random curves
    • Shi M, Weiss RE, Taylor JMG (1996) An analysis of paediatric CD4 counts for acquired immune deficiency syndrome using flexible random curves. Ann Stat 45: 151-163.
    • (1996) Ann Stat , vol.45 , pp. 151-163
    • Shi, M.1    Weiss, R.E.2    Taylor, J.M.G.3
  • 75
    • 0032276659 scopus 로고    scopus 로고
    • Nonparametric regression analysis of longitudinal data
    • Staniswalis JG, Lee JJ (1998) Nonparametric regression analysis of longitudinal data. J Am Stat Assoc 93: 1403-1418.
    • (1998) J Am Stat Assoc , vol.93 , pp. 1403-1418
    • Staniswalis, J.G.1    Lee, J.J.2
  • 76
    • 57249114751 scopus 로고    scopus 로고
    • Pairwise curve synchronization for functional data
    • Tang R, Müller H-G (2008) Pairwise curve synchronization for functional data. Biometrika 95: 875-889.
    • (2008) Biometrika , vol.95 , pp. 875-889
    • Tang, R.1    Müller, H.-G.2
  • 77
    • 57749101466 scopus 로고    scopus 로고
    • Time-synchronized clustering of gene expression trajectories
    • Tang R, Müller H-G (2009) Time-synchronized clustering of gene expression trajectories. Biostatistics 10: 32-45.
    • (2009) Biostatistics , vol.10 , pp. 32-45
    • Tang, R.1    Müller, H.-G.2
  • 78
    • 14944358963 scopus 로고    scopus 로고
    • Efficient semiparametric marginal estimation for longitudinal/clustered data
    • Wang N, Carroll RJ, Lin X (2005) Efficient semiparametric marginal estimation for longitudinal/clustered data. J Am Stat Assoc 100: 147-157.
    • (2005) J Am Stat Assoc , vol.100 , pp. 147-157
    • Wang, N.1    Carroll, R.J.2    Lin, X.3
  • 79
    • 54949135399 scopus 로고    scopus 로고
    • Modeling price dynamics in ebay auctions using principal differential analysis
    • Wang S, Jank W, Shmueli G, Smith P (2008) Modeling price dynamics in ebay auctions using principal differential analysis. J Am Stat Assoc 103(483): 1100-1118.
    • (2008) J Am Stat Assoc , vol.103 , Issue.483 , pp. 1100-1118
    • Wang, S.1    Jank, W.2    Shmueli, G.3    Smith, P.4
  • 80
    • 6744243281 scopus 로고    scopus 로고
    • A two-step smoothing method for varying-coefficient models with repeated measurements
    • Wu CO, Yu KF, Chiang C-T (2000) A two-step smoothing method for varying-coefficient models with repeated measurements. Ann Inst Stat Math 52: 519-543.
    • (2000) Ann Inst Stat Math , vol.52 , pp. 519-543
    • Wu, C.O.1    Yu, K.F.2    Chiang, C.-T.3
  • 81
    • 33645031408 scopus 로고    scopus 로고
    • Penalized spline models for functional principal component analysis
    • Yao F, Lee TCM (2006) Penalized spline models for functional principal component analysis. J R Stat Soc, Ser B 68: 3-25.
    • (2006) J R Stat Soc, Ser B , vol.68 , pp. 3-25
    • Yao, F.1    Lee, T.C.M.2
  • 82
    • 19744375466 scopus 로고    scopus 로고
    • Functional data analysis for sparse longitudinal data
    • Yao F, Müller H-G, Wang J-L (2005a) Functional data analysis for sparse longitudinal data. J Am Stat Assoc 100: 577-590.
    • (2005) J Am Stat Assoc , vol.100 , pp. 577-590
    • Yao, F.1    Müller, H.-G.2    Wang, J.-L.3
  • 83
    • 19744369661 scopus 로고    scopus 로고
    • Functional linear regression analysis for longitudinal data
    • Yao F, Müller H-G, Wang J-L (2005b) Functional linear regression analysis for longitudinal data. Ann Stat 33: 2873-2903.
    • (2005) Ann Stat , vol.33 , pp. 2873-2903
    • Yao, F.1    Müller, H.-G.2    Wang, J.-L.3
  • 84
    • 8644276476 scopus 로고    scopus 로고
    • The functional data analysis view of longitudinal data
    • Zhao X, Marron JS, Wells MT (2004) The functional data analysis view of longitudinal data. Stat Sin 14: 789-808.
    • (2004) Stat Sin , vol.14 , pp. 789-808
    • Zhao, X.1    Marron, J.S.2    Wells, M.T.3
  • 85
    • 50949116957 scopus 로고    scopus 로고
    • Joint modelling of paired sparse functional data using principal components
    • Zhou L, Huang JZ, Carroll R (2008) Joint modelling of paired sparse functional data using principal components. Biometrika 95: 601-619.
    • (2008) Biometrika , vol.95 , pp. 601-619
    • Zhou, L.1    Huang, J.Z.2    Carroll, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.