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Volumn 9, Issue 1, 2000, Pages 122-140

Adaptive Bayesian Regression Splines in Semiparametric Generalized Linear Models

Author keywords

B spline basis; Knot selection; Nonnormal response; Nonparametric regression; Reversible jump Markov chain Monte Carlo

Indexed keywords


EID: 23044518682     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.2000.10474869     Document Type: Article
Times cited : (85)

References (31)
  • 4
    • 0039644192 scopus 로고
    • Bayesian Inference for Generalized Linear and Proportional Hazards Models via Gibbs Sampling
    • Dellaportas, P., and Smith, A. F. M. (1993), “Bayesian Inference for Generalized Linear and Proportional Hazards Models via Gibbs Sampling,” Applied Statistics, 42, 443-459.
    • (1993) Applied Statistics , vol.42 , pp. 443-459
    • Dellaportas, P.1    Smith, A.F.M.2
  • 7
    • 25444532788 scopus 로고    scopus 로고
    • Flexible Smoothing With B-Splines and Penalties
    • Eilers, P. H. C., and Marx, B. D. (1996), “Flexible Smoothing With B-Splines and Penalties,” Statistical Science, 11, 89-121.
    • (1996) Statistical Science , vol.11 , pp. 89-121
    • Eilers, P.H.C.1    Marx, B.D.2
  • 10
    • 0024607448 scopus 로고
    • Flexible Parsimonious Smoothing and Additive Modeling
    • (with discussion)
    • Friedman, J. H., and Silverman, B. W. (1989), “Flexible Parsimonious Smoothing and Additive Modeling” (with discussion), Technometrics, 31, 3-39.
    • (1989) Technometrics , vol.31 , pp. 3-39
    • Friedman, J.H.1    Silverman, B.W.2
  • 11
    • 0042042167 scopus 로고    scopus 로고
    • Efficient Sampling From the Posterior Distribution in Generalized Linear Mixed Models
    • Gamerman, D. (1997), “Efficient Sampling From the Posterior Distribution in Generalized Linear Mixed Models,” Statistics and Computing, 7, 57-68.
    • (1997) Statistics and Computing , vol.7 , pp. 57-68
    • Gamerman, D.1
  • 12
    • 0038312668 scopus 로고
    • Adaptive Rejection Metropolis Sampling within Gibbs Sampling
    • Gilks, W. R., Best, N. G., and Tan, K. K. C. (1995), “Adaptive Rejection Metropolis Sampling within Gibbs Sampling,” Applied Statistics, 44, 455-472.
    • (1995) Applied Statistics , vol.44 , pp. 455-472
    • Gilks, W.R.1    Best, N.G.2    Tan, K.K.C.3
  • 14
    • 0000324169 scopus 로고
    • Adaptive Rejection Sampling for Gibbs Sampling
    • Gilks, W. R., and Wild, P. (1992), “Adaptive Rejection Sampling for Gibbs Sampling,” Applied Statistics, 41, 337-348.
    • (1992) Applied Statistics , vol.41 , pp. 337-348
    • Gilks, W.R.1    Wild, P.2
  • 15
    • 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, 711-732.
    • (1995) Biometrika , vol.82 , pp. 711-732
    • Green, P.J.1
  • 17
    • 0002117007 scopus 로고
    • Semi-Parametric Generalized Linear Models
    • R. Gilchrist, B. Francis, and J. Whittaker, Heidelberg: Springer Lecture Notes
    • Green, P. J., and Yandell, B. S. (1985), “Semi-Parametric Generalized Linear Models,” in Generalized Linear Models, eds. R. Gilchrist, B. Francis, and J. Whittaker, Heidelberg: Springer Lecture Notes, pp. 44-55.
    • (1985) Generalized Linear Models , pp. 44-55
    • Green, P.J.1    Yandell, B.S.2
  • 21
    • 84950459387 scopus 로고
    • Non-Gaussian State-Space Modeling of Nonstationary Time Series
    • Kitagawa, G. (1987), “Non-Gaussian State-Space Modeling of Nonstationary Time Series,” Journal of the American Statistical Association, 82, 1032-1063.
    • (1987) Journal of the American Statistical Association , vol.82 , pp. 1032-1063
    • Kitagawa, G.1
  • 22
    • 0037877555 scopus 로고
    • Computation of Smoothing and Interpolating Natural Splines via Local Bases
    • Lyche, T., and Schumaker, L. L. (1973), “Computation of Smoothing and Interpolating Natural Splines via Local Bases,” SIAM Journal of Numerical Analysis, 10, 1027-1038.
    • (1973) SIAM Journal of Numerical Analysis , vol.10 , pp. 1027-1038
    • Lyche, T.1    Schumaker, L.L.2
  • 24
    • 77950057408 scopus 로고    scopus 로고
    • Semiparametric Generalized Linear Models: Bayesian Approaches
    • D. K. Dey, S. K. Ghosh, and B. K. Mallick, New York: Marcel-Dekker
    • Mallick, B. K., Denison, D. G. T., and Smith, A. F. M. (1999), “Semiparametric Generalized Linear Models: Bayesian Approaches,” in Generalized Linear Models: A Bayesian Perspective, eds. D. K. Dey, S. K. Ghosh, and B. K. Mallick, New York: Marcel-Dekker.
    • (1999) Generalized Linear Models: A Bayesian Perspective
    • Mallick, B.K.1    Denison, D.G.T.2    Smith, A.F.M.3
  • 25
    • 0032493547 scopus 로고    scopus 로고
    • Direct Generalized Additive Modelling with Penalized Likelihood
    • Marx, B. D., and Eilers, P. H. C. (1998), “Direct Generalized Additive Modelling with Penalized Likelihood,” Computational Statistics and Data Analysis, 28, 193-209.
    • (1998) Computational Statistics and Data Analysis , vol.28 , pp. 193-209
    • Marx, B.D.1    Eilers, P.H.C.2
  • 26
    • 18244378520 scopus 로고    scopus 로고
    • On Bayesian Analysis of Mixtures with an Unknown Number of Components
    • (with discussion), Ser. B
    • Richardson, S., and Green, P. J. (1997), “On Bayesian Analysis of Mixtures with an Unknown Number of Components” (with discussion), Journal of the Royal Statistical Society, Ser. B, 59, 731-792.
    • (1997) Journal of the Royal Statistical Society , vol.59 , pp. 731-792
    • Richardson, S.1    Green, P.J.2
  • 27
    • 0004016842 scopus 로고
    • (reprinted with corrections), Malabar, FL: Krieger Publishing Company
    • Schumaker, L. L. (1993), Spline Functions: Basic Theory (reprinted with corrections), Malabar, FL: Krieger Publishing Company.
    • (1993) Spline Functions: Basic Theory
    • Schumaker, L.L.1
  • 28
    • 0000824232 scopus 로고    scopus 로고
    • Nonparametric Regression Using Bayesian Variable Selection
    • Smith, M., and Kohn, R. (1996), “Nonparametric Regression Using Bayesian Variable Selection,” Journal of Econometrics, 75, 317-343.
    • (1996) Journal of Econometrics , vol.75 , pp. 317-343
    • Smith, M.1    Kohn, R.2
  • 30
    • 0031484203 scopus 로고    scopus 로고
    • Polynomial Splines and Their Tensor Products in Extended Linear Modeling
    • (with discussion)
    • Stone, C. J., Hansen, M., Kooperberg, C., and Truong T (1997), “Polynomial Splines and Their Tensor Products in Extended Linear Modeling” (with discussion), The Annals of Statistics, 25, 1371-1470.
    • (1997) The Annals of Statistics , vol.25 , pp. 1371-1470
    • Stone, C.J.1    Hansen, M.2    Kooperberg, C.3    Truong, T.4
  • 31
    • 0000576595 scopus 로고
    • Markov Chains for Exploring Posterior Distributions
    • Tierney, L. (1994), “Markov Chains for Exploring Posterior Distributions,” The Annals of Statistics, 22, 1701-1762.
    • (1994) The Annals of Statistics , vol.22 , pp. 1701-1762
    • Tierney, L.1


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