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Volumn 92, Issue 2, 2005, Pages 419-434

Hierarchical models for assessing variability among functions

Author keywords

Bayesian adaptive regression spline; Bayesian functional data analysis; Curve fitting; Free knot spline; Functional data analysis; Hierarchical Gaussian process; Neuron spike train; Nonparametric regression; Reversible jump Markov chain Monte Carlo; Smoothing

Indexed keywords


EID: 21644455755     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/92.2.419     Document Type: Article
Times cited : (52)

References (25)
  • 2
    • 0002526223 scopus 로고    scopus 로고
    • A note on first-stage approximation in two-stage hierarchical models
    • DANIELS, M. J. & KASS, R. E. (1998). A note on first-stage approximation in two-stage hierarchical models. Sankhyā B 60, 19-30.
    • (1998) Sankhyā B , vol.60 , pp. 19-30
    • Daniels, M.J.1    Kass, R.E.2
  • 3
    • 0442325081 scopus 로고    scopus 로고
    • Nonconjugate Bayesian estimation of covariance matrices and its use in hierarchical models
    • DANIELS, M. J. & KASS, R. E. (1999). Nonconjugate Bayesian estimation of covariance matrices and its use in hierarchical models. J. Am. Statist. Assoc. 94, 1254-63.
    • (1999) J. Am. Statist. Assoc. , vol.94 , pp. 1254-1263
    • Daniels, M.J.1    Kass, R.E.2
  • 4
    • 0035185654 scopus 로고    scopus 로고
    • Shrinkage estimators for covariance matrices
    • DANIELS, M. J. & KASS, R. E. (2001). Shrinkage estimators for covariance matrices. Biometrics 57, 1173-84.
    • (2001) Biometrics , vol.57 , pp. 1173-1184
    • Daniels, M.J.1    Kass, R.E.2
  • 5
    • 0010045457 scopus 로고    scopus 로고
    • Bayesian curve-fitting with free-knot splines
    • DIMATTEO, I., GENOVESE, C. R. & KASS, R. E. (2001). Bayesian curve-fitting with free-knot splines. Biometrika 88, 1055-73.
    • (2001) Biometrika , vol.88 , pp. 1055-1073
    • Dimatteo, I.1    Genovese, C.R.2    Kass, R.E.3
  • 6
    • 77956889087 scopus 로고
    • Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
    • GREEN, P. J. (1995). Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 82, 711-32.
    • (1995) Biometrika , vol.82 , pp. 711-732
    • Green, P.J.1
  • 7
    • 0011031587 scopus 로고    scopus 로고
    • Spline adaptation in extended linear models
    • HANSEN, M. H. & KOOPERBERG, C. (2002). Spline adaptation in extended linear models (with Discussion). Statist. Sci. 17, 2-51.
    • (2002) Statist. Sci. , vol.17 , pp. 2-51
    • Hansen, M.H.1    Kooperberg, C.2
  • 8
    • 0036020889 scopus 로고    scopus 로고
    • Generalized linear models with functional predictors
    • JAMES, G. (2002). Generalized linear models with functional predictors. J. R. Statist. Soc. B 64, 411-32.
    • (2002) J. R. Statist. Soc. B , vol.64 , pp. 411-432
    • James, G.1
  • 9
    • 0001699048 scopus 로고    scopus 로고
    • Principal component models for sparse functional data
    • JAMES, G. M., HASTIE, T. J. & SUGAR, C. A. (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
  • 11
    • 21644475394 scopus 로고    scopus 로고
    • Comment on 'spline adaptation in extended linear models' by Mark H. Hansen and Charles Kooperberg
    • KASS, R. & WALLSTROM, G. (2002). Comment on 'Spline adaptation in extended linear models' by Mark H. Hansen and Charles Kooperberg. Statist. Sci. 17, 24-9.
    • (2002) Statist. Sci. , vol.17 , pp. 24-29
    • Kass, R.1    Wallstrom, G.2
  • 12
    • 27944462549 scopus 로고
    • A reference Bayesian test for nested hypotheses and its relationship to the Schwarz criterion
    • KASS, R. E. & WASSERMAN, L. A. (1995). A reference Bayesian test for nested hypotheses and its relationship to the Schwarz criterion. J. Am. Statist. Assoc. 90, 928-34.
    • (1995) J. Am. Statist. Assoc. , vol.90 , pp. 928-934
    • Kass, R.E.1    Wasserman, L.A.2
  • 14
    • 1542784576 scopus 로고    scopus 로고
    • Semiparametric nonlinear mixed-effects models and their applications
    • KE, C. & WANG, Y. (2001). Semiparametric nonlinear mixed-effects models and their applications (with Discussion). J. Am. Statist. Assoc. 96, 1272-98.
    • (2001) J. Am. Statist. Assoc. , vol.96 , pp. 1272-1298
    • Ke, C.1    Wang, Y.2
  • 15
    • 0001789822 scopus 로고
    • Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes
    • LIU, J. S., WONG, W. H. & KONG, A. (1994). Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes. Biometrika 81, 27-40.
    • (1994) Biometrika , vol.81 , pp. 27-40
    • Liu, J.S.1    Wong, W.H.2    Kong, A.3
  • 17
    • 0023137042 scopus 로고
    • Temporal encoding of two-dimensional patterns by single units in primate inferior temporal cortex. An information theoretic analysis
    • OPTICAN, L. & RICHMOND, B. (1987). Temporal encoding of two-dimensional patterns by single units in primate inferior temporal cortex. An information theoretic analysis. J. Neurophysiol. 57, 162-78.
    • (1987) J. Neurophysiol. , vol.57 , pp. 162-178
    • Optican, L.1    Richmond, B.2
  • 18
    • 0002648792 scopus 로고    scopus 로고
    • The Schwarz criterion and related methods for normal linear models
    • PAULER, D. K. (1998). The Schwarz criterion and related methods for normal linear models. Biometrika 85, 13-27.
    • (1998) Biometrika , vol.85 , pp. 13-27
    • Pauler, D.K.1
  • 21
    • 0035106736 scopus 로고    scopus 로고
    • Nonparametric mixed effects models for unequally sampled noisy curves
    • RICE, J. & Wu, C. (2001). Nonparametric mixed effects models for unequally sampled noisy curves. Biometrics 57, 253-9.
    • (2001) Biometrics , vol.57 , pp. 253-259
    • Rice, J.1    Wu, C.2
  • 22
    • 0041111614 scopus 로고    scopus 로고
    • An analysis of paediatric CD4 counts for acquired immune deficiency syndrome using flexible random curves
    • SHI, M. S., WEISS, R. E. & TAYLOR, J. M. G. (1996). An analysis of paediatric CD4 counts for acquired immune deficiency syndrome using flexible random curves. Appl. Statist. 45, 151-63.
    • (1996) Appl. Statist. , vol.45 , pp. 151-163
    • Shi, M.S.1    Weiss, R.E.2    Taylor, J.M.G.3
  • 24
    • 0346490012 scopus 로고    scopus 로고
    • Statistical analysis of temporal evolution in single-neuron firing rates
    • VENTURA, V., CARTA, R., KASS, R. E., GETTNER, S. N. & OLSON, C. R. (2002). Statistical analysis of temporal evolution in single-neuron firing rates. Biostatistics 3, 1-23.
    • (2002) Biostatistics , vol.3 , pp. 1-23
    • Ventura, V.1    Carta, R.2    Kass, R.E.3    Gettner, S.N.4    Olson, C.R.5
  • 25
    • 0031486902 scopus 로고    scopus 로고
    • Alignment of curves by dynamic time warping
    • WANG, K. & GASSER, T. (1997). Alignment of curves by dynamic time warping. Ann. Statist. 25, 1251-76.
    • (1997) Ann. Statist. , vol.25 , pp. 1251-1276
    • Wang, K.1    Gasser, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.