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Volumn 105, Issue 490, 2010, Pages 852-863

Simultaneous confidence bands for penalized spline estimators

Author keywords

B spline; Bayesian penalized spline; Confidence band; Mixed model; Penalization

Indexed keywords


EID: 78649434657     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/jasa.2010.tm09165     Document Type: Article
Times cited : (88)

References (38)
  • 1
    • 0141477361 scopus 로고
    • Bayesian computation and stochastic systems
    • (with discussion), [853, 858]
    • Besag, J., Green, P., Higdon, D., and Mengersen, K. (1995), "Bayesian Computation and Stochastic Systems" (with discussion), Statistical Science, 10, 3-66. [853,858]
    • (1995) Statistical Science , vol.10 , pp. 3-66
    • Besag, J.1    Green, P.2    Higdon, D.3    Mengersen, K.4
  • 2
    • 0000797991 scopus 로고
    • On some global measures of the deviations of density function estimates
    • [852]
    • Bickel, P. J., and Rosenblatt, M. (1973), "On Some Global Measures of the Deviations of Density Function Estimates," The Annals of Statistics, 1, 1071- 1095. [852]
    • (1973) The Annals of Statistics , vol.1 , pp. 1071-1095
    • Bickel, P.J.1    Rosenblatt, M.2
  • 3
    • 26444547624 scopus 로고    scopus 로고
    • Generalized additive regression based on bayesian P-splines
    • [854]
    • Brezger, A., and Lang, S. (2006), "Generalized Additive Regression Based on Bayesian P-Splines," Computational Statistics and Data Analysis, 50, 967- 991. [854]
    • (2006) Computational Statistics and Data Analysis , vol.50 , pp. 967-991
    • Brezger, A.1    Lang, S.2
  • 4
    • 84993778661 scopus 로고    scopus 로고
    • Comment on variable selection and function estimation in additive nonparametic regression using a data-based prior
    • by T. S. Shively, R. Koher, and S.Wood, [853]
    • Brumback, B. A., Ruppert, D., andWand, M. P. (1999), Comment on "Variable Selection and Function Estimation in Additive Nonparametic Regression Using a Data-Based Prior," by T. S. Shively, R. Koher, and S.Wood, Journal of the American Statistical Association, 94, 794-797. [853]
    • (1999) Journal of the American Statistical Association , vol.94 , pp. 794-797
    • Brumback, B.A.1    Ruppert, D.2    Wand, M.P.3
  • 6
    • 1442332685 scopus 로고    scopus 로고
    • Bootstrap confidence bands for regression curves and their derivatives
    • [852]
    • Claeskens, G., and Van Keilegom, I. (2003), "Bootstrap Confidence Bands for Regression Curves and Their Derivatives," The Annals of Statistics, 31 (6), 1852-1884. [852]
    • (2003) The Annals of Statistics , vol.31 , Issue.6 , pp. 1852-1884
    • Claeskens, G.1    Van Keilegom, I.2
  • 7
    • 69249171674 scopus 로고    scopus 로고
    • Asymptotic properties of penalized spline estimators
    • [852, 855, 861]
    • Claeskens, G., Krivobokova, T., and Opsomer, J. (2009), "Asymptotic Properties of Penalized Spline Estimators," Biometrika, 96 (3), 529-544. [852, 855,861]
    • (2009) Biometrika , vol.96 , Issue.3 , pp. 529-544
    • Claeskens, G.1    Krivobokova, T.2    Opsomer, J.3
  • 8
    • 21144475432 scopus 로고
    • An analysis of bayesian inference for nonparametric regression
    • [853,857, 858]
    • Cox, D. (1993), "An Analysis of Bayesian Inference for Nonparametric Regression," The Annals of Statistics, 21 (2), 903-923. [853,857,858]
    • (1993) The Annals of Statistics , vol.21 , Issue.2 , pp. 903-923
    • Cox, D.1
  • 10
    • 78649422778 scopus 로고    scopus 로고
    • A note on P-Spline Smoothing With B splines and penalties
    • [853]
    • Durban, M., and Currie, I. (2003), "A Note on P-Spline Smoothing With BSplines and Penalties," Computational Statistics, 11 (2), 89-121. [853]
    • (2003) Computational Statistics , vol.11 , Issue.2 , pp. 89-121
    • Durban, M.1    Currie, I.2
  • 11
    • 25444532788 scopus 로고    scopus 로고
    • Flexible smoothing with B-splines and penalties
    • (with discussion), [852]
    • Eilers, P. H. C., and Marx, B. D. (1996), "Flexible Smoothing With B-Splines and Penalties" (with discussion), Statistical Science, 11 (2), 89-121. [852]
    • (1996) Statistical Science , vol.11 , Issue.2 , pp. 89-121
    • Eilers, P.H.C.1    Marx, B.D.2
  • 13
    • 8644257675 scopus 로고    scopus 로고
    • Penalized structured additive regression for space-time data: A bayesian perspective
    • [853, 854]
    • Fahrmeir, L., Kneib, T., and Lang, S. (2004), "Penalized Structured Additive Regression for Space-Time Data: A Bayesian Perspective," Statistica Sinica, 14, 731-761. [853,854]
    • (2004) Statistica Sinica , vol.14 , pp. 731-761
    • Fahrmeir, L.1    Kneib, T.2    Lang, S.3
  • 14
    • 84861364137 scopus 로고
    • Simultaneous confidence bands for linear regession with heteroscedastic errors
    • [861]
    • Faraway, J., and Sun, J. (1995), "Simultaneous Confidence Bands for Linear Regession With Heteroscedastic Errors," Journal of the American Statistical Association, 90, 1094-1098. [861]
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 1094-1098
    • Faraway, J.1    Sun, J.2
  • 15
    • 0033236897 scopus 로고    scopus 로고
    • On the bernstein-von mises theorem with infinite- dimensional parameters
    • [857]
    • Freedman, D. (1999), "On the Bernstein-Von Mises Theorem With Infinite- Dimensional Parameters," The Annals of Statistics, 27 (4), 1119-1140. [857]
    • (1999) The Annals of Statistics , vol.27 , Issue.4 , pp. 1119-1140
    • Freedman, D.1
  • 16
    • 0000823740 scopus 로고
    • On convergence rates of suprema
    • [852]
    • Hall, P. (1991), "On Convergence Rates of Suprema," Probability Theory and Related Fields, 89 (4), 447-455. [852]
    • (1991) Probability Theory and Related Fields , vol.89 , Issue.4 , pp. 447-455
    • Hall, P.1
  • 17
    • 15844409557 scopus 로고    scopus 로고
    • Theory for penalized spline regression
    • [852]
    • Hall, P., and Opsomer, J. (2005), "Theory for Penalized Spline Regression," Biometrika, 92, 105-118. [852]
    • (2005) Biometrika , vol.92 , pp. 105-118
    • Hall, P.1    Opsomer, J.2
  • 18
    • 0000246894 scopus 로고
    • On confidence bands in nonparametric density estimation and regression
    • [852, 857]
    • Hall, P., and Titterington, D. (1988), "On Confidence Bands in Nonparametric Density Estimation and Regression," Journal of Multivariate Analysis, 27, 228-254. [852,857]
    • (1988) Journal of Multivariate Analysis , vol.27 , pp. 228-254
    • Hall, P.1    Titterington, D.2
  • 19
    • 38249023605 scopus 로고
    • Asymptotic maximal deviation of M-smoothers
    • [852]
    • Härdle,W. (1989), "Asymptotic Maximal Deviation of M-Smoothers," Journal of Multivariate Analysis, 29 (2), 163-179. [852]
    • (1989) Journal of Multivariate Analysis , vol.29 , Issue.2 , pp. 163-179
    • Härdle, W.1
  • 20
    • 1842591334 scopus 로고    scopus 로고
    • Simultaneous posterior probability statements from monte carlo output
    • [853]
    • Held, L. (2004), "Simultaneous Posterior Probability Statements From Monte Carlo Output," Journal of Computational and Graphical Statistics, 13, 20- 35. [853]
    • (2004) Journal of Computational and Graphical Statistics , vol.13 , pp. 20-35
    • Held, L.1
  • 21
    • 0001070336 scopus 로고
    • Tubes and spheres in n-spaces, and a class of statistical problems
    • [852]
    • Hotelling, H. (1939), "Tubes and Spheres in n-Spaces, and a Class of Statistical Problems," American Journal of Mathematics, 61, 440-460. [852]
    • (1939) American Journal of Mathematics , vol.61 , pp. 440-460
    • Hotelling, H.1
  • 22
    • 0001318038 scopus 로고
    • Hotelling's theorem on the volume of tubes: Some illustrations in simultaneous inference and data analysis
    • [855]
    • Johansen, S., and Johnstone, I.M. (1990), "Hotelling's Theorem on the Volume of Tubes: Some Illustrations in Simultaneous Inference and Data Analysis," The Annals of Statistics, 18 (2), 652-684. [855]
    • (1990) The Annals of Statistics , vol.18 , Issue.2 , pp. 652-684
    • Johansen, S.1    Johnstone, I.M.2
  • 25
    • 44849098150 scopus 로고    scopus 로고
    • On the asymptotics of penalized splines
    • [852]
    • Li, Y., and Ruppert, D. (2008), "On the Asymptotics of Penalized Splines," Biometrika, 95 (2), 415-436. [852]
    • (2008) Biometrika , vol.95 , Issue.2 , pp. 415-436
    • Li, Y.1    Ruppert, D.2
  • 26
  • 27
    • 0001361162 scopus 로고
    • Conservative confidence bands in curvilinear regression
    • [855]
    • Naiman, D. (1986), "Conservative Confidence Bands in Curvilinear Regression," The Annals Statistics, 14, 896-906. [855]
    • (1986) The Annals Statistics , vol.14 , pp. 896-906
    • Naiman, D.1
  • 28
    • 0007169427 scopus 로고    scopus 로고
    • Simultaneous bootstrap confidence bands in nonparametric regression
    • [852]
    • Neumann, M. H., and Polzehl, J. (1998), "Simultaneous Bootstrap Confidence Bands in Nonparametric Regression," Journal of Nonparametric Statistics, 9 (4), 307-333. [852]
    • (1998) Journal of Nonparametric Statistics , vol.9 , Issue.4 , pp. 307-333
    • Neumann, M.H.1    Polzehl, J.2
  • 29
    • 0000772768 scopus 로고
    • A statistical perspective on ill-posed inverse problems
    • (with discussion), [852]
    • O'Sullivan, F. (1986), "A Statistical Perspective on Ill-Posed Inverse Problems" (with discussion), Statistical Science, 1, 505-527. [852]
    • (1986) Statistical Science , vol.1 , pp. 505-527
    • O'Sullivan, F.1
  • 30
  • 31
    • 0002077465 scopus 로고
    • Tail probabilities of the maxima of gaussian random fields
    • [852, 855]
    • Sun, J. (1993), "Tail Probabilities of the Maxima of Gaussian Random Fields," The Annals of Probability, 21 (1), 34-71. [852,855]
    • (1993) The Annals of Probability , vol.21 , Issue.1 , pp. 34-71
    • Sun, J.1
  • 32
    • 21844493366 scopus 로고
    • Simultaneous confidence bands for linear regression and smoothing
    • [852,855, 857]
    • Sun, J., and Loader, C. R. (1994), "Simultaneous Confidence Bands for Linear Regression and Smoothing," The Annals of Statistics, 22 (3), 1328-1345. [852,855,857]
    • (1994) The Annals of Statistics , vol.22 , Issue.3 , pp. 1328-1345
    • Sun, J.1    Loader, C.R.2
  • 33
    • 0034347378 scopus 로고    scopus 로고
    • Confidence bands in generalized linear models
    • [861]
    • Sun, J., Loader, C., and McCormick, W. (2000), "Confidence Bands in Generalized Linear Models," The Annals Statistics, 28 (2), 429-460. [861]
    • (2000) The Annals Statistics , vol.28 , Issue.2 , pp. 429-460
    • Sun, J.1    Loader, C.2    McCormick, W.3
  • 34
    • 0033469690 scopus 로고    scopus 로고
    • Confidence bands for growth and response curves
    • [855, 861]
    • Sun, J., Raz, J., and Faraway, J. J. (1999), "Confidence Bands for Growth and Response Curves," Statistica Sinica, 9 (3), 679-698. [855,861]
    • (1999) Statistica Sinica , vol.9 , Issue.3 , pp. 679-698
    • Sun, J.1    Raz, J.2    Faraway, J.J.3
  • 35
    • 0000939344 scopus 로고
    • Bayesian confidence intervals for the cross-validated smoothing spline
    • [857, 858]
    • Wahba, G. (1983), "Bayesian Confidence Intervals for the Cross-Validated Smoothing Spline," Journal of the Royal Statistical Society, Ser. B, 45 (1), 133-150. [857,858]
    • (1983) Journal of the Royal Statistical Society, Ser. B , vol.45 , Issue.1 , pp. 133-150
    • Wahba, G.1
  • 36
    • 0000045032 scopus 로고
    • On the volume of tubes
    • [852, 855]
    • Weyl, H. (1939), "On the Volume of Tubes," American Journal of Mathematics, 61, 461-472. [852,855]
    • (1939) American Journal of Mathematics , vol.61 , pp. 461-472
    • Weyl, H.1
  • 37
    • 0000941164 scopus 로고    scopus 로고
    • Bias-corrected confidence bands in nonparametric regression
    • [852,858]
    • Xia, Y. (1998), "Bias-Corrected Confidence Bands in Nonparametric Regression," Journal of the Royal Statistical Society, Ser. B, 60 (4), 797-811. [852,858]
    • (1998) Journal of the Royal Statistical Society, Ser. B , vol.60 , Issue.4 , pp. 797-811
    • Xia, Y.1
  • 38
    • 0032263988 scopus 로고    scopus 로고
    • Local asymptotics for regression splines and confidence regions
    • [852, 861]
    • Zhou, S., Shen, X., and Wolfe, D. A. (1998), "Local Asymptotics for Regression Splines and Confidence Regions," The Annals of Statistics, 26 (5), 1760-1782. [852,861]
    • (1998) The Annals of Statistics , vol.26 , Issue.3 , pp. 1760-1782
    • Zhou, S.1    Shen, X.2    Wolfe, D.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.