메뉴 건너뛰기




Volumn 92, Issue 437, 1997, Pages 107-116

Hybrid Adaptive Splines

Author keywords

Inflated degrees of freedom; Regression spline; Smoothing on the sphere; Smoothing spline; Spatial adaptability; Stepwise regression

Indexed keywords


EID: 0031483603     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10473607     Document Type: Article
Times cited : (123)

References (30)
  • 1
    • 0030078473 scopus 로고    scopus 로고
    • Improved Inference in Nonparametric Regression Using Lk-Smoothing Splines
    • Abramovich, F., and Steinberg, D. (1996). “Improved Inference in Nonparametric Regression Using Lk-Smoothing Splines,” Journal of Statistical Planning Inference, 49, 327-341.
    • (1996) Journal of Statistical Planning Inference , vol.49 , pp. 327-341
    • Abramovich, F.1    Steinberg, D.2
  • 2
    • 0002014587 scopus 로고
    • On Extremal Theory for Stationary Processes
    • Albin, J. M. P. (1990), “On Extremal Theory for Stationary Processes:’ Annals of Probability, 18, 92-128.
    • (1990) Annals of Probability , vol.18 , pp. 92-128
    • Albin, J.M.P.1
  • 5
    • 0041958932 scopus 로고
    • Ideal Spatial Adaptation by Wavelet Shrinkage
    • Donoho, D. L. and Johnstone, I. M. (1994). “Ideal Spatial Adaptation by Wavelet Shrinkage:’ Biometrika, 81, 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 8
    • 0000887734 scopus 로고
    • Data-Driven Bandwidth Selection in Local Polynomial Fitting: Variable Bandwidth and Spatial Adaptation
    • Fan, J., and Gijbels, I. (1995). “Data-Driven Bandwidth Selection in Local Polynomial Fitting: Variable Bandwidth and Spatial Adaptation,” Journal of the Royal Statistical Society, Ser. B, 57, 371-394.
    • (1995) Journal of the Royal Statistical Society, Ser. B , vol.57 , pp. 371-394
    • Fan, J.1    Gijbels, I.2
  • 9
    • 0002432565 scopus 로고    scopus 로고
    • H. (1991). “Multivariate Adaptive Regression Splines” (with discussion)
    • Friedman, J. H. (1991). “Multivariate Adaptive Regression Splines” (with discussion), The Annals of Statistics, 19, 1-141.
    • The Annals of Statistics , vol.19 , pp. 1-141
    • Friedman, J.1
  • 10
    • 0024607448 scopus 로고
    • Flexible Parsimonious Smoothing and Additive Modeling
    • Friedman, J. H., and Silverman, B. W. (1989), “Flexible Parsimonious Smoothing and Additive Modeling:’ Technometrics, 3 1, 3-39.
    • (1989) Technometrics , vol.3 , Issue.1 , pp. 3-39
    • Friedman, J.H.1    Silverman, B.W.2
  • 13
    • 0002663793 scopus 로고
    • Data Fitting by Penalized Least Squares
    • J. C. Mason and M. G. Cox, New York: Chapman and Hall
    • von Golitschek, M., and Schumaker, L. (1990), “Data Fitting by Penalized Least Squares,” in Algorithms for Approximation Il, eds. J. C. Mason and M. G. Cox, New York: Chapman and Hall, pp. 210-227.
    • (1990) Algorithms for Approximation Il , pp. 210-227
    • Von Golitschek, M.1    Schumaker, L.2
  • 14
    • 0000279744 scopus 로고
    • Semiparametric Analysis of Variance With Tensor Product Thin Plate Splines
    • Gu, C., and Wahba, G. (1993a). “Semiparametric Analysis of Variance With Tensor Product Thin Plate Splines,” Journal of the Royal Statistical Society, Ser. B, 55, 353-368.
    • (1993) Journal of the Royal Statistical Society, Ser. B , vol.55 , pp. 353-368
    • Gu, C.1    Wahba, G.2
  • 15
    • 80053096906 scopus 로고
    • Smoothing Spline ANOVA With Component-Wise Bayesian Confidence Intervals
    • Gu, C., and Wahba, G. (1993b). “Smoothing Spline ANOVA With Component-Wise Bayesian Confidence Intervals:’ Journal of Computational and Graphical Statistics, 2, 97-117.
    • (1993) Journal of Computational and Graphical Statistics , vol.2 , pp. 97-117
    • Gu, C.1    Wahba, G.2
  • 16
    • 0004963827 scopus 로고
    • Discussion of “Flexible Parsimonious Smoothing and Additive Modeling” by J. H. Friedman and B. W. Silverman
    • Hastie, T. (1989), Discussion of “Flexible Parsimonious Smoothing and Additive Modeling” by J. H. Friedman and B. W. Silverman, Technometrics, 31, 25.
    • (1989) Technometrics , vol.31 , pp. 25
    • Hastie, T.1
  • 18
    • 0002970891 scopus 로고
    • Smoothing Noisy Data With Spline Functions
    • Hutchinson, M. F., and de Hoog, F. R. (1985). “Smoothing Noisy Data With Spline Functions:’ Numerische Mathematik, 47, 99-106.
    • (1985) Numerische Mathematik , vol.47 , pp. 99-106
    • Hutchinson, M.F.1    De Hoog, F.R.2
  • 21
    • 0000067590 scopus 로고
    • Discussion of “Multivariate Adaptive Regression Splines” by J. Friedman
    • Owen, A. (1991). Discussion of “Multivariate Adaptive Regression Splines” by J. Friedman, The Annals of Statistics, 19, 102-112.
    • (1991) The Annals of Statistics , vol.19 , pp. 102-112
    • Owen, A.1
  • 23
    • 0041104195 scopus 로고
    • Curve Fitting and Modeling With Splines Using Statistical Variable Selection Techniques
    • Hampton, VA
    • Smith, P. L. (1982). “Curve Fitting and Modeling With Splines Using Statistical Variable Selection Techniques,” Report NASA 166034, Langley Research Center, Hampton, VA.
    • (1982) Report NASA 166034, Langley Research Center
    • Smith, P.L.1
  • 25
    • 0005173689 scopus 로고
    • Spline Bases, Regularization, and Generalized Cross-Validation for Solving Approximation Problems With Large Quantities of Noisy Data
    • W. Chenry, Orlando, FL Academic Press
    • Wahba, G. (1980). “Spline Bases, Regularization, and Generalized Cross-Validation for Solving Approximation Problems With Large Quantities of Noisy Data,” in Approximation Theory llI, ed. W. Chenry, Orlando, FL Academic Press, pp. 905-912.
    • (1980) Approximation Theory Lli , pp. 905-912
    • Wahba, G.1
  • 27
    • 0041117168 scopus 로고
    • Vector Splines on the Sphere, With Application to the Estimation of Vorticity and Divergence From Discrete, Noisy Data
    • W. Schempp and K.-Zeller CBMS-NSF Regional Conference Series in Applied Mathematics, Vol, Philadelphia: Society of Industrial and Applied Mathematics
    • Wahba, G. (1982), “Vector Splines on the Sphere, With Application to the Estimation of Vorticity and Divergence From Discrete, Noisy Data:’ in Multivariate Approximation Theory, Vol. 2, eds. W. Schempp and K.-Zeller CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 59, Philadelphia: Society of Industrial and Applied Mathematics.
    • (1982) Multivariate Approximation Theory , vol.2 , pp. 59
    • Wahba, G.1
  • 30
    • 0027842160 scopus 로고
    • Some Remarks on Spatial Correlation Function Models
    • Weber, R., and Talkner, P. (1993), “Some Remarks on Spatial Correlation Function Models,” Monthly Weather Review, 121, 2611-2617.
    • (1993) Monthly Weather Review , vol.121 , pp. 2611-2617
    • Weber, R.1    Talkner, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.