메뉴 건너뛰기




Volumn 8, Issue 3, 2007, Pages 654-673

Generalized monotonic regression based on B-splines with an application to air pollution data

Author keywords

Air pollution data; Generalized additive models; Likelihood based boosting; Monotonic regression

Indexed keywords

AGED; AIR POLLUTION; ALGORITHM; ARTICLE; BAYES THEOREM; BIOMETRY; BRAZIL; HUMAN; MORTALITY; REGRESSION ANALYSIS; RESPIRATORY TRACT DISEASE; RISK FACTOR; STATISTICAL MODEL; STATISTICS;

EID: 34648835120     PISSN: 14654644     EISSN: 14684357     Source Type: Journal    
DOI: 10.1093/biostatistics/kxl036     Document Type: Article
Times cited : (63)

References (44)
  • 2
    • 0000046177 scopus 로고    scopus 로고
    • Averting behavior and urban air pollution
    • BRESNAHAN, B., DICKIE, M. AND GERKING, S. (1997). Averting behavior and urban air pollution. Land Economics 73, 340-357.
    • (1997) Land Economics , vol.73 , pp. 340-357
    • BRESNAHAN, B.1    DICKIE, M.2    GERKING, S.3
  • 4
    • 33745157294 scopus 로고    scopus 로고
    • Boosting for high-dimensional linear models
    • BÜHLMANN, P. (2006). Boosting for high-dimensional linear models. Annals of Statistics 34, 559-583.
    • (2006) Annals of Statistics , vol.34 , pp. 559-583
    • BÜHLMANN, P.1
  • 9
    • 0037473221 scopus 로고    scopus 로고
    • Non-parametric estimators of a monotonic dose-response curve and bootstrap confidence intervals
    • DILLEEN, M., HEIMANN, G. AND HIRSCH, I. (2003). Non-parametric estimators of a monotonic dose-response curve and bootstrap confidence intervals. Statistics in Medicine 22, 869-882.
    • (2003) Statistics in Medicine , vol.22 , pp. 869-882
    • DILLEEN, M.1    HEIMANN, G.2    HIRSCH, I.3
  • 10
    • 10944228348 scopus 로고    scopus 로고
    • A smooth test of goodness-of-fit for growth curves and monotonic nonlinear regression models
    • DUCHARME, G. R. AND FONTEZ, B. (2004). A smooth test of goodness-of-fit for growth curves and monotonic nonlinear regression models. Biometrics 60, 977-986.
    • (2004) Biometrics , vol.60 , pp. 977-986
    • DUCHARME, G.R.1    FONTEZ, B.2
  • 11
    • 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
  • 12
    • 4544263145 scopus 로고    scopus 로고
    • Local smoothing with robustness against outlying predictors
    • EINBECK, J., ANDRE, C. D. S. AND SINGER, J. M. (2004). Local smoothing with robustness against outlying predictors. Environmetrics 15, 541-554.
    • (2004) Environmetrics , vol.15 , pp. 541-554
    • EINBECK, J.1    ANDRE, C.D.S.2    SINGER, J.M.3
  • 14
    • 0021477545 scopus 로고
    • The monotone smoothing of scatterplots
    • FRIEDMAN, J. H. AND TIBSHIRANI, R. (1984). The monotone smoothing of scatterplots. Technometrics 26, 243-250.
    • (1984) Technometrics , vol.26 , pp. 243-250
    • FRIEDMAN, J.H.1    TIBSHIRANI, R.2
  • 16
    • 0001003992 scopus 로고
    • Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method
    • GU, C. AND WAHBA, G. (1991). Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method. SIAM Journal of Scientific and Statistical Computing 12, 383-398.
    • (1991) SIAM Journal of Scientific and Statistical Computing , vol.12 , pp. 383-398
    • GU, C.1    WAHBA, G.2
  • 18
    • 0025677551 scopus 로고
    • Monotone smoothing with application to dose-response curves and the assessment of synergism
    • KELLY, C. AND RICE, J. (1991). Monotone smoothing with application to dose-response curves and the assessment of synergism. Biometrics 46, 1071-1085.
    • (1991) Biometrics , vol.46 , pp. 1071-1085
    • KELLY, C.1    RICE, J.2
  • 20
    • 0012630251 scopus 로고    scopus 로고
    • A general projection framework for constrained smoothing
    • MAMMEN, E., MARRON, J., TURLACH, B. AND WAND, M. (2001). A general projection framework for constrained smoothing. Statistical Science 16, 232-248.
    • (2001) Statistical Science , vol.16 , pp. 232-248
    • MAMMEN, E.1    MARRON, J.2    TURLACH, B.3    WAND, M.4
  • 21
    • 0002311869 scopus 로고
    • Ridge likelihood estimation for generalized linear regression
    • van der Heijden, R, Jansen, W, Francis, B, and Seeber, G, eds, Amsterdam: North-Holland. pp
    • MARX, B., EILERS, P. AND SMITH, E. (1992). Ridge likelihood estimation for generalized linear regression. In: van der Heijden, R., Jansen, W., Francis, B., and Seeber, G. (eds), Statistical Modelling. Amsterdam: North-Holland. pp 227-238.
    • (1992) Statistical Modelling , pp. 227-238
    • MARX, B.1    EILERS, P.2    SMITH, E.3
  • 22
    • 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 & Data Analysis 28, 193-209.
    • (1998) Computational Statistics & Data Analysis , vol.28 , pp. 193-209
    • MARX, B.D.1    EILERS, P.H.C.2
  • 24
    • 0000290116 scopus 로고
    • Monotone nonparametric regression
    • MUKERJEE, H. (1988). Monotone nonparametric regression. Annals of Statistics 16, 741-750.
    • (1988) Annals of Statistics , vol.16 , pp. 741-750
    • MUKERJEE, H.1
  • 25
    • 8844280082 scopus 로고    scopus 로고
    • Air pollution, health and socio-economic status: The effect of outdoor air quality on childhood asthma
    • NEIDELL, M. (2002). Air pollution, health and socio-economic status: the effect of outdoor air quality on childhood asthma. Journal of Health Economics 23, 1209-1236.
    • (2002) Journal of Health Economics , vol.23 , pp. 1209-1236
    • NEIDELL, M.1
  • 27
    • 84972507631 scopus 로고
    • Monotone regression splines in action
    • RAMSAY, J. O. (1988). Monotone regression splines in action. Statistical Science 3, 425-461.
    • (1988) Statistical Science , vol.3 , pp. 425-461
    • RAMSAY, J.O.1
  • 31
    • 0025448521 scopus 로고
    • The strength of weak learnability
    • SCHAPIRE, R. E. (1990). The strength of weak learnability. Machine Learning 5, 197-227.
    • (1990) Machine Learning , vol.5 , pp. 197-227
    • SCHAPIRE, R.E.1
  • 32
    • 0028053075 scopus 로고
    • Air pollution and daily mortality: A review and meta analysis
    • SCHWARTZ, J. (1994a). Air pollution and daily mortality: a review and meta analysis. Environmental Research 64, 36-52.
    • (1994) Environmental Research , vol.64 , pp. 36-52
    • SCHWARTZ, J.1
  • 33
    • 84989446470 scopus 로고
    • Nonparametric smoothing in the analysis of air pollution and respiratory illness
    • SCHWARTZ, J. (1994b). Nonparametric smoothing in the analysis of air pollution and respiratory illness. Canadian Journal of Statistics 22, 471-487.
    • (1994) Canadian Journal of Statistics , vol.22 , pp. 471-487
    • SCHWARTZ, J.1
  • 34
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • SCHWARZ, G. (1978). Estimating the dimension of a model. Annals of Statistics 6, 461-464.
    • (1978) Annals of Statistics , vol.6 , pp. 461-464
    • SCHWARZ, G.1
  • 35
    • 4544301641 scopus 로고    scopus 로고
    • Association between atmospheric pollution and mortality in São Paulo, Brazil: Regression models and analysis strategy
    • Dodge, Y, ed, Berlin: Birkhuser. pp
    • SINGER, J. M., ANDRE, C. D. S., LIMA, P. L. AND CONÇEICÃO, G. M. S. (2002). Association between atmospheric pollution and mortality in São Paulo, Brazil: regression models and analysis strategy. In: Dodge, Y. (ed.), Statistical Data Analysis Based on the L1 Norm and Related Methods. Berlin: Birkhuser. pp 439-450.
    • (2002) Statistical Data Analysis Based on the L1 Norm and Related Methods , pp. 439-450
    • SINGER, J.M.1    ANDRE, C.D.S.2    LIMA, P.L.3    CONÇEICÃO, G.M.S.4
  • 37
    • 33746087616 scopus 로고    scopus 로고
    • Shape constrained smoothing using smoothing splines
    • TURLACH, B. A. (2005). Shape constrained smoothing using smoothing splines. Computational Statistics 20, 81-103.
    • (2005) Computational Statistics , vol.20 , pp. 81-103
    • TURLACH, B.A.1
  • 38
    • 33845509035 scopus 로고    scopus 로고
    • Generalized additive modelling with implicit variable selection by likelihood based boosting
    • in press
    • TUTZ, G. AND BINDER, H. (2006). Generalized additive modelling with implicit variable selection by likelihood based boosting. Biometrics (in press).
    • (2006) Biometrics
    • TUTZ, G.1    BINDER, H.2
  • 40
    • 2942615702 scopus 로고
    • Monotonic smoothing splines fitted by cross validation
    • WOOD, S. N. (1994). Monotonic smoothing splines fitted by cross validation. SIAM Journal on Scientific Computing 15, 1126-1133.
    • (1994) SIAM Journal on Scientific Computing , vol.15 , pp. 1126-1133
    • WOOD, S.N.1
  • 41
    • 0034364945 scopus 로고    scopus 로고
    • Modelling and smoothing parameter estimation with multiple quadratic penalties
    • WOOD, S. N. (2000). Modelling and smoothing parameter estimation with multiple quadratic penalties. Journal of the Royal Statistical Society B 62, 413-428.
    • (2000) Journal of the Royal Statistical Society B , vol.62 , pp. 413-428
    • WOOD, S.N.1
  • 42
    • 0005168922 scopus 로고    scopus 로고
    • mgcv: GAMs and generalized ridge regression for R
    • WOOD, S. N. (2001). mgcv: GAMs and generalized ridge regression for R. R News 1, 20-25.
    • (2001) R News , vol.1 , pp. 20-25
    • WOOD, S.N.1
  • 44
    • 3042547842 scopus 로고    scopus 로고
    • A simple and efficient monotone smoother using smoothing splines
    • ZHANG, J. T. (2004). A simple and efficient monotone smoother using smoothing splines. Journal of Nonparametric Statistics 16, 779-796.
    • (2004) Journal of Nonparametric Statistics , vol.16 , pp. 779-796
    • ZHANG, J.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.