메뉴 건너뛰기




Volumn 37, Issue 3, 2003, Pages 179-188

Estimating the error variance in nonparametric regression by a covariate-matched U-statistic

Author keywords

Cross validation; Efficient estimator; Empirical estimator; i.i.d. representation; Kernel estimator; Relative mean square errors

Indexed keywords


EID: 0037562810     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/0233188031000078051     Document Type: Article
Times cited : (43)

References (19)
  • 1
    • 0038623894 scopus 로고
    • A graphical method for estimating the residual variance in nonparametric regression
    • Buckley, M. J. and Eagleson, G. K. (1989). A graphical method for estimating the residual variance in nonparametric regression. Biometrika, 76, 203-210.
    • (1989) Biometrika , vol.76 , pp. 203-210
    • Buckley, M.J.1    Eagleson, G.K.2
  • 2
    • 0000123142 scopus 로고
    • The estimation of residual variance in nonparametric regression
    • Buckley, M. J., Eagleson, G. K. and Silverman, B. W. (1988). The estimation of residual variance in nonparametric regression. Biometrika, 75, 189-199.
    • (1988) Biometrika , vol.75 , pp. 189-199
    • Buckley, M.J.1    Eagleson, G.K.2    Silverman, B.W.3
  • 4
    • 18244372185 scopus 로고
    • Estimating the variance in nonparametric regression - What is a reasonable choice?
    • Dette, H., Munk, A. and Wagner, T. (1988). Estimating the variance in nonparametric regression - what is a reasonable choice? J. Roy. Statist. Soc. Ser. B. (Methodological), 60, 751-764.
    • (1988) J. Roy. Statist. Soc. Ser. B. (Methodological) , vol.60 , pp. 751-764
    • Dette, H.1    Munk, A.2    Wagner, T.3
  • 5
    • 0009611285 scopus 로고    scopus 로고
    • A review of variance estimators with extensions to multivariate nonparametric regression models
    • Ghosh, S. (Ed.), Multivariate Analysis, Design of Experiments, and Survey Sampling. Dekker, New York
    • Dette, H., Munk, A. and Wagner, T. (1999). A review of variance estimators with extensions to multivariate nonparametric regression models. In: Ghosh, S. (Ed.), Multivariate Analysis, Design of Experiments, and Survey Sampling, Statistics: Textbooks and Monographs 159, Dekker, New York, pp. 469-498.
    • (1999) Statistics: Textbooks and Monographs , vol.159 , pp. 469-498
    • Dette, H.1    Munk, A.2    Wagner, T.3
  • 6
    • 0001106460 scopus 로고
    • Residual variance and residual pattern in nonlinear regression
    • Gasser, T., Stoka, L. and Jennen-Steinmetz, C. (1986). Residual variance and residual pattern in nonlinear regression, Biometrika, 73, 625-633.
    • (1986) Biometrika , vol.73 , pp. 625-633
    • Gasser, T.1    Stoka, L.2    Jennen-Steinmetz, C.3
  • 7
    • 0002279247 scopus 로고
    • Variance function estimation in regression: The effect of estimating the mean
    • Hall, P. and Carroll, R. J. (1989). Variance function estimation in regression: The effect of estimating the mean, J. Roy. Statist. Soc. Ser. B. (Methodological), 51, 3-14.
    • (1989) J. Roy. Statist. Soc. Ser. B. (Methodological) , vol.51 , pp. 3-14
    • Hall, P.1    Carroll, R.J.2
  • 8
    • 77956889318 scopus 로고
    • Asymptotically optimal difference-based estimation of variance in nonparametric regression
    • Hall, P., Kay, J. W. and Titterington, D. M. (1990). Asymptotically optimal difference-based estimation of variance in nonparametric regression. Biometrika, 77, 521-528.
    • (1990) Biometrika , vol.77 , pp. 521-528
    • Hall, P.1    Kay, J.W.2    Titterington, D.M.3
  • 9
    • 0000035920 scopus 로고
    • On variance estimation in nonparametric regression
    • Hall, P. and Marron, J. S. (1990), On variance estimation in nonparametric regression. Biometrika, 77, 415-419.
    • (1990) Biometrika , vol.77 , pp. 415-419
    • Hall, P.1    Marron, J.S.2
  • 10
    • 0038623895 scopus 로고    scopus 로고
    • Application of convolution theorems in semiparametric models with non-i.i.d. data
    • McNeney, B. and Wellner, J. A. (2000). Application of convolution theorems in semiparametric models with non-i.i.d. data. J. Statist. Plann. Inference, 91, 441-480.
    • (2000) J. Statist. Plann. Inference , vol.91 , pp. 441-480
    • McNeney, B.1    Wellner, J.A.2
  • 11
    • 4243853924 scopus 로고    scopus 로고
    • Estimating linear functionals of the error distribution in nonparametric regression
    • Müller, U. U., Schick, A. and Wefelmeyer, W. (2001). Estimating linear functionals of the error distribution in nonparametric regression. To appear in J. Statist. Plann. Inference.
    • (2001) J. Statist. Plann. Inference
    • Müller, U.U.1    Schick, A.2    Wefelmeyer, W.3
  • 12
    • 0000881596 scopus 로고
    • Fully data-driven nonparametric variance estimators
    • Neumann, M. H. (1994). Fully data-driven nonparametric variance estimators. Statistics, 25, 189-212.
    • (1994) Statistics , vol.25 , pp. 189-212
    • Neumann, M.H.1
  • 13
    • 0000006440 scopus 로고
    • Bandwidth choice for nonparametric regression
    • Rice, J. (1984). Bandwidth choice for nonparametric regression. Ann. Statist., 12, 1215-1230.
    • (1984) Ann. Statist. , vol.12 , pp. 1215-1230
    • Rice, J.1
  • 14
    • 0031199387 scopus 로고    scopus 로고
    • Local polynomial variance-function estimation
    • Ruppert, D., Wand, M. P., Hoist, U. and Hössjer, O. (1997). Local polynomial variance-function estimation. Technometrics, 39, 262-273.
    • (1997) Technometrics , vol.39 , pp. 262-273
    • Ruppert, D.1    Wand, M.P.2    Hoist, U.3    Hössjer, O.4
  • 15
    • 0001527882 scopus 로고
    • Nonparametric estimation of residual variance revisited
    • Seifert, B., Gasser, T. and Wolf, A. (1993). Nonparametric estimation of residual variance revisited. Biometrika, 80, 373-383.
    • (1993) Biometrika , vol.80 , pp. 373-383
    • Seifert, B.1    Gasser, T.2    Wolf, A.3
  • 17
    • 21844495548 scopus 로고
    • Nonparametric recursive variance estimation
    • Stadtmüller, U. and Tsybakov, A. B. (1995). Nonparametric recursive variance estimation. Statistics, 27, 55-63.
    • (1995) Statistics , vol.27 , pp. 55-63
    • Stadtmüller, U.1    Tsybakov, A.B.2
  • 18
    • 0011432316 scopus 로고
    • On the estimation of the residual variance in nonparametric regression
    • Ullah, A. and Zinde-Walsh, V. (1992). On the estimation of the residual variance in nonparametric regression. J. Nonparametr. Statist., 1, 263-265.
    • (1992) J. Nonparametr. Statist. , vol.1 , pp. 263-265
    • Ullah, A.1    Zinde-Walsh, V.2
  • 19
    • 0000450226 scopus 로고
    • Improper priors, spline smoothing and the problem of guarding against model errors in regression
    • Wahba, G. (1978). Improper priors, spline smoothing and the problem of guarding against model errors in regression. J. Roy. Statist. Soc. Ser. B. (Methodological), 40, 364-372.
    • (1978) J. Roy. Statist. Soc. Ser. B. (Methodological) , vol.40 , pp. 364-372
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.