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Volumn 64, Issue 3, 2012, Pages 577-613

Priors for Bayesian adaptive spline smoothing

Author keywords

Adaptive smoothing; Intrinsic autoregressive; Objective priors; Penalized regression; Posterior propriety

Indexed keywords

ADAPTIVE SMOOTHING; AUTO-REGRESSIVE; OBJECTIVE PRIORS; PENALIZED REGRESSION; POSTERIOR PROPRIETY;

EID: 84856609541     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-010-0321-6     Document Type: Article
Times cited : (19)

References (63)
  • 4
    • 84867176040 scopus 로고    scopus 로고
    • The case for objective Bayesian analysis
    • 2221271 10.1214/06-BA115
    • J. Berger 2006 The case for objective Bayesian analysis Bayesian Analysis 1 385 402 2221271 10.1214/06-BA115
    • (2006) Bayesian Analysis , vol.1 , pp. 385-402
    • Berger, J.1
  • 6
    • 33845221523 scopus 로고
    • On conditional and intrinsic autoregressions
    • 1380811 0899.62123
    • J. Besag C. Kooperberg 1995 On conditional and intrinsic autoregressions Biometrika 82 733 746 1380811 0899.62123
    • (1995) Biometrika , vol.82 , pp. 733-746
    • Besag, J.1    Kooperberg, C.2
  • 7
    • 0141477361 scopus 로고
    • Bayesian computation and stochastic systems (Disc: P41-66)
    • 1349818 0955.62552 10.1214/ss/1177010123
    • J. Besag P. Green D. Higdon K. Mengersen 1995 Bayesian computation and stochastic systems (Disc: P41-66) Statistical Science 10 3 41 1349818 0955.62552 10.1214/ss/1177010123
    • (1995) Statistical Science , vol.10 , pp. 3-41
    • Besag, J.1    Green, P.2    Higdon, D.3    Mengersen, K.4
  • 9
    • 0000761439 scopus 로고    scopus 로고
    • Markov chain Monte Carlo in conditionally Gaussian state space models
    • 1423876 0866.62018 10.1093/biomet/83.3.589
    • C.K. Carter R. Kohn 1996 Markov chain Monte Carlo in conditionally Gaussian state space models Biometrika 83 589 601 1423876 0866.62018 10.1093/biomet/83.3.589
    • (1996) Biometrika , vol.83 , pp. 589-601
    • Carter, C.K.1    Kohn, R.2
  • 12
    • 0001682758 scopus 로고    scopus 로고
    • Multiple shrinkage and subset selection in wavelets
    • 1649120 0938.62021 10.1093/biomet/85.2.391
    • M. Clyde G. Parmigiani B. Vidakovic 1998 Multiple shrinkage and subset selection in wavelets Biometrika 85 391 401 1649120 0938.62021 10.1093/biomet/85.2.391
    • (1998) Biometrika , vol.85 , pp. 391-401
    • Clyde, M.1    Parmigiani, G.2    Vidakovic, B.3
  • 14
    • 1842665178 scopus 로고    scopus 로고
    • Confidence Intervals for Nonparametric Curve Estimates: Toward More Uniform Pointwise Coverage
    • DOI 10.1198/016214501750332811
    • D.J. Cummins T.G. Filloon D. Nychka 2001 Confidence intervals for nonparametric curve estimates: Toward more uniform pointwise coverage Journal of the American Statistical Association 96 233 246 1952734 1015.62049 10.1198/016214501750332811 (Pubitemid 33240642)
    • (2001) Journal of the American Statistical Association , vol.96 , Issue.453 , pp. 233-246
    • Cummins, D.J.1    Filloon, T.G.2    Nychka, D.3
  • 15
    • 0038784364 scopus 로고    scopus 로고
    • Unified conditional frequentist and Bayesian testing of composite hypotheses
    • S.C. Dass J.O. Berger 2003 Unified conditional frequentist and Bayesian testing of composite hypotheses Scandinavian Journal of Statistics 30 193 210 1965102 1034.62009 10.1111/1467-9469.00326 (Pubitemid 36618829)
    • (2003) Scandinavian Journal of Statistics , vol.30 , Issue.1 , pp. 193-210
    • Dass, S.C.1    Berger, J.O.2
  • 17
    • 0010045457 scopus 로고    scopus 로고
    • Bayesian curve-fitting with free-knot splines
    • I. Di Matteo C.R. Genovese R.E. Kass 2001 Bayesian curve-fitting with free-knot splines Biometrika 88 1055 1071 1872219 10.1093/biomet/88.4.1055 (Pubitemid 33771551)
    • (2001) Biometrika , vol.88 , Issue.4 , pp. 1055-1071
    • Dimatteo, I.1    Genovese, C.R.2    Kass, R.E.3
  • 18
    • 25444532788 scopus 로고    scopus 로고
    • Flexible smoothing with B-splines and penalties
    • P. Eilers B. Marx 1996 Flexible smoothing with B-splines and penalties (with discussion) Statistical Science 11 89 121 1435485 0955.62562 10.1214/ss/1038425655 (Pubitemid 126706128)
    • (1996) Statistical Science , vol.11 , Issue.2 , pp. 89-121
    • Eilers, P.H.C.1    Marx, B.D.2
  • 20
    • 0030335796 scopus 로고    scopus 로고
    • Smoothing hazard functions and time-varying effects in discrete duration and competing risks models
    • 1439098 0883.62098 10.2307/2291584
    • L. Fahrmeir S. Wagenpfeil 1996 Smoothing hazard functions and time-varying effects in discrete duration and competing risks models Journal of the American Statistical Association 91 1584 1594 1439098 0883.62098 10.2307/2291584
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 1584-1594
    • Fahrmeir, L.1    Wagenpfeil, S.2
  • 21
    • 0002432565 scopus 로고
    • Multivariate adaptive regression splines (with discussion)
    • 1091842 0765.62064 10.1214/aos/1176347963
    • J.H. Friedman 1991 Multivariate adaptive regression splines (with discussion) The Annals of Statistics 19 1 141 1091842 0765.62064 10.1214/aos/1176347963
    • (1991) The Annals of Statistics , vol.19 , pp. 1-141
    • Friedman, J.H.1
  • 22
    • 0000324169 scopus 로고
    • Adaptive rejection sampling for gibbs sampling
    • 0825.62407 10.2307/2347565
    • W.R. Gilks P. Wild 1992 Adaptive rejection sampling for gibbs sampling Applied Statistics 41 337 348 0825.62407 10.2307/2347565
    • (1992) Applied Statistics , vol.41 , pp. 337-348
    • Gilks, W.R.1    Wild, P.2
  • 23
    • 0038312668 scopus 로고
    • Adaptive rejection Metropolis sampling within gibbs sampling
    • 0893.62110 10.2307/2986138
    • W.R. Gilks N.G. Best K.K.C. Tan 1995 Adaptive rejection Metropolis sampling within gibbs sampling Applied Statistics 44 455 472 0893.62110 10.2307/2986138
    • (1995) Applied Statistics , vol.44 , pp. 455-472
    • Gilks, W.R.1    Best, N.G.2    Tan, K.K.C.3
  • 25
    • 0001412716 scopus 로고    scopus 로고
    • Bayesian backfitting (with comments and a rejoinder by the authors)
    • 1820768 1059.62524 10.1214/ss/1009212815
    • T. Hastie R. Tibshirani 2000 Bayesian backfitting (with comments and a rejoinder by the authors) Statistical Science 15 196 223 1820768 1059.62524 10.1214/ss/1009212815
    • (2000) Statistical Science , vol.15 , pp. 196-223
    • Hastie, T.1    Tibshirani, R.2
  • 27
    • 0030327881 scopus 로고    scopus 로고
    • The effect of improper priors on Gibbs sampling in hierarchical linear mixed models
    • 1439086 0882.62020 10.2307/2291572
    • J.P. Hobert G. Casella 1996 The effect of improper priors on Gibbs sampling in hierarchical linear mixed models Journal of the American Statistical Association 91 1461 1473 1439086 0882.62020 10.2307/2291572
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 1461-1473
    • Hobert, J.P.1    Casella, G.2
  • 29
    • 18444410406 scopus 로고    scopus 로고
    • Empirical bayes selection of wavelet thresholds
    • DOI 10.1214/009053605000000345
    • I.M. Johnstone B.W. Silverman 2005 Empirical Bayes selection of wavelet thresholds The Annals of Statistics 33 1700 1752 2166560 1078.62005 10.1214/009053605000000345 (Pubitemid 41423984)
    • (2005) Annals of Statistics , vol.33 , Issue.4 , pp. 1700-1752
    • Johnstone, I.M.1    Silverman, B.W.2
  • 30
    • 0005270454 scopus 로고    scopus 로고
    • Some remarks on Gaussian Markov random field models for disease mapping
    • N. H. P. Green, S. Richardson (Eds.) New York: Oxford University Press
    • Knorr-Held, L. (2003). Some remarks on Gaussian Markov random field models for disease mapping. In N. H. P. Green, S. Richardson (Eds.), Highly structured stochastic systems (pp. 260-264). New York: Oxford University Press.
    • (2003) Highly Structured Stochastic Systems , pp. 260-264
    • Knorr-Held, L.1
  • 31
    • 0141684911 scopus 로고    scopus 로고
    • A hierarchical model for space-time surveillance data on meningococcal disease incidence
    • DOI 10.1111/1467-9876.00396
    • Knorr-Held, L.; Richardson, S. (2003). A hierarchical model for space-time surveillance data on meningococcal disease incidence. Journal of the Royal Statistical Society, Series C: Applied Statistics, 52, 169-183. (Pubitemid 37155762)
    • (2003) Journal of the Royal Statistical Society. Series C: Applied Statistics , vol.52 , Issue.2 , pp. 169-183
    • Knorr-Held, L.1    Richardson, S.2
  • 33
    • 0036448882 scopus 로고    scopus 로고
    • Function estimation with locally adaptive dynamic models
    • 1952693 1037.62035 10.1007/s001800200121
    • S. Lang E.-M. Fronk L. Fahrmeir 2002 Function estimation with locally adaptive dynamic models Computational Statistics 17 479 499 1952693 1037.62035 10.1007/s001800200121
    • (2002) Computational Statistics , vol.17 , pp. 479-499
    • Lang, S.1    Fronk, E.-M.2    Fahrmeir, L.3
  • 35
    • 55849090666 scopus 로고    scopus 로고
    • On the second-order random walk model for irregular locations
    • 2468870 1199.60276 10.1111/j.1467-9469.2008.00610.x
    • F. Lindgren H. Rue 2008 On the second-order random walk model for irregular locations Scandinavian Journal of Statistics 35 691 700 2468870 1199.60276 10.1111/j.1467-9469.2008.00610.x
    • (2008) Scandinavian Journal of Statistics , vol.35 , pp. 691-700
    • Lindgren, F.1    Rue, H.2
  • 36
    • 0043226712 scopus 로고    scopus 로고
    • Interpolation models with multiple hyperparameters
    • DOI 10.1023/A:1008862908404, Generalization
    • D.J.C. Mackay R. Takeuchi 1998 Interpolation models with multiple hyperparameters Statistics and Computing 8 15 23 10.1023/A:1008862908404 (Pubitemid 128049845)
    • (1998) Statistics and Computing , vol.8 , Issue.1 , pp. 15-24
    • Mackay, D.J.C.1    Takeuchi, R.2
  • 38
    • 0347318519 scopus 로고    scopus 로고
    • Bayesian analysis of ARMA-GARCH models: A Markov chain sampling approach
    • Nakatsuma, T. (2000). Bayesian analysis of ARMA-GARCH models: A Markov chain sampling approach. Journal of Econometrics, 95, 57-69.
    • (2000) Journal of Econometrics , vol.95 , pp. 57-69
    • Nakatsuma, T.1
  • 40
    • 84899028582 scopus 로고    scopus 로고
    • Nonstationary covariance functions for Gaussian process regression
    • S. Thrun, L. Saul, B. Schölkopf (Eds.) Cambridge, MA: MIT Press
    • Paciorek, C. J.; Schervish, M. J. (2004). Nonstationary covariance functions for Gaussian process regression. In S. Thrun, L. Saul, B. Schölkopf (Eds.), Advances in neural information processing systems (Vol. 16). Cambridge, MA: MIT Press.
    • (2004) Advances in Neural Information Processing Systems , vol.16
    • Paciorek C., .J.1    Schervish M., .J.2
  • 41
    • 33745999511 scopus 로고    scopus 로고
    • Spatial modelling using a new class of nonstationary covariance functions
    • DOI 10.1002/env.785
    • C.J. Paciorek M.J. Schervish 2006 Spatial modelling using a new class of nonstationary covariance functions Environmetrics 17 483 506 2240939 10.1002/env.785 (Pubitemid 44065247)
    • (2006) Environmetrics , vol.17 , Issue.5 , pp. 483-506
    • Paciorek, C.J.1    Schervish, M.J.2
  • 42
    • 33746253031 scopus 로고    scopus 로고
    • Frequentist optimality of Bayesian wavelet shrinkage rules for gaussian and non-gaussian noise
    • DOI 10.1214/009053606000000128
    • M. Pensky 2006 Frequentist optimality of Bayesian wavelet shrinkage rules for Gaussian and non-Gaussian noise The Annals of Statistics 34 769 807 2283392 1095.62049 10.1214/009053606000000128 (Pubitemid 44091392)
    • (2006) Annals of Statistics , vol.34 , Issue.2 , pp. 769-807
    • Pensky, M.1
  • 43
    • 33644977319 scopus 로고    scopus 로고
    • Spatially adaptive smoothing splines
    • 2277744 1152.62331 10.1093/biomet/93.1.113
    • A. Pintore P.L. Speckman C.C. Holmes 2006 Spatially adaptive smoothing splines Biometrika 93 113 125 2277744 1152.62331 10.1093/biomet/93.1.113
    • (2006) Biometrika , vol.93 , pp. 113-125
    • Pintore, A.1    Speckman, P.L.2    Holmes, C.C.3
  • 44
    • 77952603871 scopus 로고    scopus 로고
    • Gaussian Markov random fields: Theory and applications
    • London: Chapman & Hall
    • Rue, H.; Held, L. (2005). Gaussian Markov random fields: Theory and applications. Monographs on statistics and applied probability (Vol. 104). London: Chapman & Hall.
    • (2005) Monographs on Statistics and Applied Probability , vol.104
    • Rue, H.1    Held, L.2
  • 47
    • 0000824232 scopus 로고    scopus 로고
    • Nonparametric regression using Bayesian variable selection
    • DOI 10.1016/0304-4076(95)01763-1
    • M.S. Smith R.J. Kohn 1996 Nonparametric regression using bayesian variable selection Journal of Econometrics 75 317 343 0864.62025 10.1016/0304-4076(95)01763-1 (Pubitemid 126372818)
    • (1996) Journal of Econometrics , vol.75 , Issue.2 , pp. 317-343
    • Smith, M.1    Kohn, R.2
  • 48
    • 3843151334 scopus 로고    scopus 로고
    • Fully Bayesian spline smoothing and intrinsic autoregressive priors
    • DOI 10.1093/biomet/90.2.289
    • P.L. Speckman D. Sun 2003 Fully Bayesian spline smoothing and intrinsic autoregressive priors Biometrika 90 289 302 1986647 1034.62023 10.1093/biomet/90.2.289 (Pubitemid 39047158)
    • (2003) Biometrika , vol.90 , Issue.2 , pp. 289-302
    • Speckman, P.L.1    Sun, D.2
  • 49
    • 0000318139 scopus 로고
    • Local bandwidth selection for kernel estimates
    • 999690 0676.62039 10.2307/2289875
    • J.G. Staniswalis 1989 Local bandwidth selection for kernel estimates Journal of the American Statistical Association 84 284 288 999690 0676.62039 10.2307/2289875
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 284-288
    • Staniswalis, J.G.1
  • 52
    • 0035613485 scopus 로고    scopus 로고
    • Propriety of posteriors with improper priors in hierarchical linear mixed models
    • Sun, D.; Tsutakawa, R. K.; He, Z. (2001). Propriety of posteriors with improper priors in hierarchical linear mixed models. Statistica Sinica, 11, 77-95. (Pubitemid 33669741)
    • (2001) Statistica Sinica , vol.11 , Issue.1 , pp. 77-95
    • Sun, D.1    Tsutakawa, R.K.2    He, Z.3
  • 53
    • 0009056189 scopus 로고    scopus 로고
    • Posterior distribution of hierarchical models using CAR(1) distributions
    • D. Sun R.K. Tsutakawa P.L. Speckman 1999 Posterior distribution of hierarchical models using CAR(1) distributions Biometrika 86 341 350 1705418 0931.62081 10.1093/biomet/86.2.341 (Pubitemid 129767154)
    • (1999) Biometrika , vol.86 , Issue.2 , pp. 341-350
    • Sun, D.1    Tsutakawa, R.K.2    Speckman, P.L.3
  • 54
    • 0037294763 scopus 로고    scopus 로고
    • PCA-based dimension reduction for splines
    • DOI 10.1080/10485250306037
    • A. Van Der Linde 2003 PCA-based dimension reduction for splines Journal of Nonparmetric Statistics 15 77 92 1958961 1019.62062 10.1080/10485250306037 (Pubitemid 36294453)
    • (2003) Journal of Nonparametric Statistics , vol.15 , Issue.1 , pp. 77-92
    • Van Der Linde, A.1
  • 57
    • 0034555628 scopus 로고    scopus 로고
    • A Comparison of Regression Spline Smoothing Procedures
    • DOI 10.1007/s001800000047
    • M. Wand 2000 A comparison of regression spline smoothing procedures Computational Statistics 15 443 462 1818029 1037.62038 10.1007/s001800000047 (Pubitemid 33217126)
    • (2000) Computational Statistics , vol.15 , Issue.4 , pp. 443-462
    • Wand, M.P.1
  • 60
    • 13844262338 scopus 로고    scopus 로고
    • Bayesian mixture of splines for spatially adaptive nonparametric regression
    • DOI 10.1093/biomet/89.3.513
    • S. Wood W. Jiang M. Tanner 2002 Bayesian mixture of splines for spatially adaptive nonparametric regression Biometrika 89 513 528 1929159 1136.62340 10.1093/biomet/89.3.513 (Pubitemid 41311961)
    • (2002) Biometrika , vol.89 , Issue.3 , pp. 513-528
    • Wood, S.A.1    Jiang, W.2    Tanner, M.3
  • 61
    • 77749324215 scopus 로고    scopus 로고
    • Nonstationary spatial Gaussian Markov random fields
    • 2654402 10.1198/jcgs.2009.08124
    • Y. Yue P.L. Speckman 2010 Nonstationary spatial Gaussian Markov random fields Journal of Computational and Graphical Statistics 19 96 116 2654402 10.1198/jcgs.2009.08124
    • (2010) Journal of Computational and Graphical Statistics , vol.19 , pp. 96-116
    • Yue, Y.1    Speckman, P.L.2
  • 62
    • 0002817906 scopus 로고
    • On assessing prior distributions and Bayesian regression analysis with g-prior distributions
    • P. K. Goel, A. Zellner (Eds.) New York/Amsterdam: Elsevier/North-Holland
    • Zellner, A. (1986). On assessing prior distributions and Bayesian regression analysis with g-prior distributions. In P. K. Goel, A. Zellner (Eds.), Bayesian inference and decision techniques: Essays in honor of Bruno de Finetti (pp. 233-243). New York/Amsterdam: Elsevier/North-Holland.
    • (1986) Bayesian Inference and Decision Techniques: Essays in Honor of Bruno de Finetti , pp. 233-243
    • Zellner, A.1
  • 63
    • 0039026915 scopus 로고
    • Posterior odds ratios for selected regression hypotheses
    • J. M. Bernardo, M. H. DeGroot, D. V. Lindley, A. F. M. Smith (Eds.) Valencia: University of Valencia
    • Zellner, A.; Siow, A. (1980). Posterior odds ratios for selected regression hypotheses. In J. M. Bernardo, M. H. DeGroot, D. V. Lindley, A. F. M. Smith (Eds.), Bayesian statistics: Proceedings of the first international meeting held in Valencia (Spain) (pp. 585-603). Valencia: University of Valencia.
    • (1980) Bayesian Statistics: Proceedings of the First International Meeting Held in Valencia (Spain) , pp. 585-603
    • Zellner, A.1    Siow, A.2


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