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Volumn 27, Issue 2, 1999, Pages 415-438

Bandwidth selection: Classical or plug-in?

Author keywords

Akaike's information criterion; Bandwidth; Cross validation; Density estimation; Local fitting; Local likelihood; Plug in

Indexed keywords


EID: 0033438066     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1018031201     Document Type: Article
Times cited : (269)

References (38)
  • 1
    • 0001741790 scopus 로고
    • A look at some data on the old faithful geyser
    • AZZALINI, A. and BOWMAN, A. W. (1990). A look at some data on the Old Faithful geyser. Appl. Statist. 39 357-365.
    • (1990) Appl. Statist. , vol.39 , pp. 357-365
    • Azzalini, A.1    Bowman, A.W.2
  • 2
    • 0001245944 scopus 로고
    • An alternative method of cross-validation for the smoothing of density estimates
    • BOWMAN, A. W. (1984). An alternative method of cross-validation for the smoothing of density estimates. Biometrika 71 353-360.
    • (1984) Biometrika , vol.71 , pp. 353-360
    • Bowman, A.W.1
  • 3
    • 0000787802 scopus 로고
    • Bandwidth selection for kernel density estimation
    • CHIU, S. T. (1991). Bandwidth selection for kernel density estimation. Ann. Statist. 19 1883-1905.
    • (1991) Ann. Statist. , vol.19 , pp. 1883-1905
    • Chiu, S.T.1
  • 5
    • 84947318637 scopus 로고
    • Locally weighted regression: An approach to regression analysis by local fitting
    • CLEVELAND, W. S. and DEVLIN, S. J. (1988). Locally weighted regression: an approach to regression analysis by local fitting. J. Amer. Statist. Assoc. 83 596-610.
    • (1988) J. Amer. Statist. Assoc. , vol.83 , pp. 596-610
    • Cleveland, W.S.1    Devlin, S.J.2
  • 6
    • 0000090258 scopus 로고    scopus 로고
    • Smoothing by local regression: Principles and methods
    • (W. Härdle and M. G. Schimek, eds.) Physica, Heidelberg
    • CLEVELAND, W. S. and LOADER, C. R. (1996). Smoothing by local regression: principles and methods. In Statistical Theory and Computational Aspects of Smoothing (W. Härdle and M. G. Schimek, eds.) 10-49. Physica, Heidelberg.
    • (1996) Statistical Theory and Computational Aspects of Smoothing , pp. 10-49
    • Cleveland, W.S.1    Loader, C.R.2
  • 7
    • 0017017305 scopus 로고
    • On the choice of smoothing parameter for parzen estimators of probability density functions
    • DUIN, R. P. W. (1976). On the choice of smoothing parameter for Parzen estimators of probability density functions. IEEE Trans. Comput. C-25 1175-1179.
    • (1976) IEEE Trans. Comput. , vol.C-25 , pp. 1175-1179
    • Duin, R.P.W.1
  • 8
    • 3042869574 scopus 로고
    • Local linear regression smoothers and their minimax efficiencies
    • FAN, J. (1993). Local linear regression smoothers and their minimax efficiencies. Ann. Statist. 21 196-216.
    • (1993) Ann. Statist. , vol.21 , pp. 196-216
    • Fan, J.1
  • 9
    • 0000298149 scopus 로고
    • A flexible and fast method for automatic smoothing
    • GASSER, T., KNEIP, A. and KÖHLER, W. (1991). A flexible and fast method for automatic smoothing. J. Amer. Statist. Assoc. 86 643-652.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 643-652
    • Gasser, T.1    Kneip, A.2    Köhler, W.3
  • 11
    • 0041171994 scopus 로고
    • On optimal data-based bandwidth selection in kernel density estimation
    • HALL, P., SHEATHER, S. J., JONES, M. C. and MARRON, J. S. (1991). On optimal data-based bandwidth selection in kernel density estimation. Biometrika 78 263-270.
    • (1991) Biometrika , vol.78 , pp. 263-270
    • Hall, P.1    Sheather, S.J.2    Jones, M.C.3    Marron, J.S.4
  • 12
    • 0001079479 scopus 로고
    • Regression smoothing parameters that are not far from their optimal
    • HÄRDLE, W., HALL, P. and MARRON, J. S. (1992). Regression smoothing parameters that are not far from their optimal. J. Amer. Statist. Assoc. 87 227-233.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 227-233
    • Härdle, W.1    Hall, P.2    Marron, J.S.3
  • 13
    • 0002528967 scopus 로고
    • Note on graduation by adjusted average
    • HENDERSON, R. (1916). Note on graduation by adjusted average. Trans. Actuarial Soc. America 17 43-48.
    • (1916) Trans. Actuarial Soc. America , vol.17 , pp. 43-48
    • Henderson, R.1
  • 14
    • 0030367069 scopus 로고    scopus 로고
    • Locally parametric nonparametric density estimation
    • HJORT, N. L. and JONES, M. C. (1996). Locally parametric nonparametric density estimation. Ann. Statist. 24 1619-1647.
    • (1996) Ann. Statist. , vol.24 , pp. 1619-1647
    • Hjort, N.L.1    Jones, M.C.2
  • 15
    • 0001050272 scopus 로고    scopus 로고
    • A brief survey of bandwidth selection for density estimation
    • JONES, M. C., MARRON, J. S. and SHEATHER, S. J. (1996). A brief survey of bandwidth selection for density estimation. J. Amer. Statist. Assoc. 91 401-407.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 401-407
    • Jones, M.C.1    Marron, J.S.2    Sheather, S.J.3
  • 16
    • 0000157839 scopus 로고
    • Smooth estimators of distribution and density functions
    • LEJEUNE, M. and SARDA, P. (1992). Smooth estimators of distribution and density functions. Comput. Statist. Data Anal. 14 457-471.
    • (1992) Comput. Statist. Data Anal. , vol.14 , pp. 457-471
    • Lejeune, M.1    Sarda, P.2
  • 17
    • 0030372807 scopus 로고    scopus 로고
    • Local likelihood density estimation
    • LOADER, C. R. (1996a). Local likelihood density estimation. Ann. Statist. 24 1602-1618.
    • (1996) Ann. Statist. , vol.24 , pp. 1602-1618
    • Loader, C.R.1
  • 20
    • 0039141731 scopus 로고    scopus 로고
    • A personal view of smoothing and statistics
    • (W. Härdle and M. G. Schimek eds.)
    • MARRON, J. S. (1996). A personal view of smoothing and statistics. In Statistical Theory and Computational Aspects of Smoothing (W. Härdle and M. G. Schimek eds.) 1-9. Physica, Heidelberg.
    • (1996) Statistical Theory and Computational Aspects of Smoothing , pp. 1-9
    • Marron, J.S.1
  • 21
    • 0001366850 scopus 로고
    • Exact mean integrated squared error
    • MARRON, J. S. and WAND, M. P. (1992). Exact mean integrated squared error. Ann. Statist. 20 712-736.
    • (1992) Ann. Statist. , vol.20 , pp. 712-736
    • Marron, J.S.1    Wand, M.P.2
  • 23
    • 0002780488 scopus 로고
    • Comparison of data-driven bandwidth selectors
    • PARK, B. U. and MARRON, J. S. (1990). Comparison of data-driven bandwidth selectors. J. Amer. Statist. Assoc. 85 66-72.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 66-72
    • Park, B.U.1    Marron, J.S.2
  • 24
    • 0001048922 scopus 로고
    • Practical performance of several data driven bandwidth selectors
    • PARK, B. U. and TURLACH, B. A. (1992). Practical performance of several data driven bandwidth selectors. Comput. Statist. 7 251-270.
    • (1992) Comput. Statist. , vol.7 , pp. 251-270
    • Park, B.U.1    Turlach, B.A.2
  • 25
    • 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
  • 26
    • 0001529784 scopus 로고
    • Remarks on some nonparametric estimates of a density function
    • ROSENBLATT, M. (1956). Remarks on some nonparametric estimates of a density function. Ann. Math. Statist. 27 832-837.
    • (1956) Ann. Math. Statist. , vol.27 , pp. 832-837
    • Rosenblatt, M.1
  • 27
    • 0002369909 scopus 로고
    • Empirical choice of histograms and kernel density estimators. Scand
    • RUDEMO, M. (1982). Empirical choice of histograms and kernel density estimators. Scand. J. Statist. 9 65-78.
    • (1982) J. Statist. , vol.9 , pp. 65-78
    • Rudemo, M.1
  • 28
    • 84947934780 scopus 로고
    • An effective bandwidth selector for local least squares regression
    • RUPPERT, D., SHEATHER, S. J. and WAND, M. P. (1995). An effective bandwidth selector for local least squares regression. J. Amer. Statist. Assoc. 90 1257-1270.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 1257-1270
    • Ruppert, D.1    Sheather, S.J.2    Wand, M.P.3
  • 31
    • 84935473220 scopus 로고
    • Biased and unbiased cross-validation in density estimation
    • SCOTT, D. W. and TERRELL, G. R. (1987). Biased and unbiased cross-validation in density estimation. J. Amer. Statist. Assoc. 82 1131-1146.
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 1131-1146
    • Scott, D.W.1    Terrell, G.R.2
  • 32
    • 0001006919 scopus 로고
    • The performance of six popular bandwidth selection methods on some real datasets
    • SHEATHER, S. J. (1992). The performance of six popular bandwidth selection methods on some real datasets. Comput. Statist. 7 225-250.
    • (1992) Comput. Statist. , vol.7 , pp. 225-250
    • Sheather, S.J.1
  • 33
    • 0001268552 scopus 로고
    • A reliable data-based bandwidth selection method for kernel density estimation
    • SHEATHER, S. J. and JONES, M. C. (1991). A reliable data-based bandwidth selection method for kernel density estimation. J. Roy. Statist. Soc. Ser. B 53 683-690.
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 683-690
    • Sheather, S.J.1    Jones, M.C.2
  • 35
    • 0000439528 scopus 로고
    • Optimal rates of convergence for nonparametric estimators
    • STONE, C. J. (1980). Optimal rates of convergence for nonparametric estimators. Ann. Statist. 8 1348-1360.
    • (1980) Ann. Statist. , vol.8 , pp. 1348-1360
    • Stone, C.J.1
  • 36
    • 0001222170 scopus 로고
    • Bootstrap choice of the smoothing parameter in kernel density estimation
    • TAYLOR, C. C. (1989). Bootstrap choice of the smoothing parameter in kernel density estimation. Biometrika 76 705-712.
    • (1989) Biometrika , vol.76 , pp. 705-712
    • Taylor, C.C.1
  • 38
    • 0001074130 scopus 로고
    • On choosing a delta sequence
    • WOODROOFE, M. (1970). On choosing a delta sequence. Ann. Math. Statist. 41 1665-1671.
    • (1970) Ann. Math. Statist. , vol.41 , pp. 1665-1671
    • Woodroofe, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.