메뉴 건너뛰기




Volumn 22, Issue 1, 1996, Pages 1-16

Accuracy of binned kernel functional approximations

Author keywords

Bandwidth selection; Binned kernel estimator; Density estimation; Kernel estimator

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BANDWIDTH; DESCRIBING FUNCTIONS; ITERATIVE METHODS; PARAMETER ESTIMATION; STATISTICAL METHODS;

EID: 0030169830     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-9473(96)88030-3     Document Type: Article
Times cited : (12)

References (28)
  • 1
    • 0001245944 scopus 로고
    • An alternative method of cross-validation for the smoothing of density estimates
    • Bowman, A.W., An alternative method of cross-validation for the smoothing of density estimates, Biometrika, 71 (1984) 353-360.
    • (1984) Biometrika , vol.71 , pp. 353-360
    • Bowman, A.W.1
  • 2
    • 38149147190 scopus 로고
    • A comparative study of several smoothing methods in density estimation
    • Cao, R., A. Cuevas and W. González-Manteiga, A comparative study of several smoothing methods in density estimation, Comput. Statist. Data Anal., 17 (1994) 153-176.
    • (1994) Comput. Statist. Data Anal. , vol.17 , pp. 153-176
    • Cao, R.1    Cuevas, A.2    González-Manteiga, W.3
  • 3
    • 84976041236 scopus 로고
    • Edgeworth expansion of the distribution of Stein's statistic
    • Hall, P., Edgeworth expansion of the distribution of Stein's statistic, Math. Proc. Cambridge Philos. Soc., 93 (1983) 163-175.
    • (1983) Math. Proc. Cambridge Philos. Soc. , vol.93 , pp. 163-175
    • Hall, P.1
  • 4
    • 38249035197 scopus 로고
    • Estimation of integrated squared density derivatives
    • Hall, P. and J.S. Marron, Estimation of integrated squared density derivatives, Statist. Probab. Lett., 6 (1987) 109-115.
    • (1987) Statist. Probab. Lett. , vol.6 , pp. 109-115
    • Hall, P.1    Marron, J.S.2
  • 6
    • 0030076590 scopus 로고    scopus 로고
    • On the accuracy of binned kernel density estimators
    • to appear
    • Hall, P. and M.P. Wand, On the accuracy of binned kernel density estimators, J. Multiv. Anal., (1996) to appear.
    • (1996) J. Multiv. Anal.
    • Hall, P.1    Wand, M.P.2
  • 7
    • 0003097597 scopus 로고
    • Smoothing by weighted averaging using rounded points
    • Härdie, W. and D.W. Scott, Smoothing by weighted averaging using rounded points, Comput. Statist., 7 (1992) 97-128.
    • (1992) Comput. Statist. , vol.7 , pp. 97-128
    • Härdie, W.1    Scott, D.W.2
  • 8
    • 0000047649 scopus 로고
    • On the errors involved in computing the empirical characteristic function
    • Jones, M.C. and H. Lotwick, On the errors involved in computing the empirical characteristic function, J. Statist. Comput. Simulation, 17 (1983) 133-149.
    • (1983) J. Statist. Comput. Simulation , vol.17 , pp. 133-149
    • Jones, M.C.1    Lotwick, H.2
  • 9
    • 85029987416 scopus 로고    scopus 로고
    • Progress in data-based bandwidth selection for kernel density estimation
    • to appear
    • Jones, M.C., J.S. Marron, and S.J. Sheather, Progress in data-based bandwidth selection for kernel density estimation, J. Amer. Statist. Assoc., to appear.
    • J. Amer. Statist. Assoc.
    • Jones, M.C.1    Marron, J.S.2    Sheather, S.J.3
  • 10
    • 44949272019 scopus 로고
    • Using non-stochastic terms to advantage in kernel-based estimation of integrated squared density derivatives
    • Jones, M.C. and S.J. Sheather, Using non-stochastic terms to advantage in kernel-based estimation of integrated squared density derivatives, Statist. Probab. Lett., 11 (1991) 511-514.
    • (1991) Statist. Probab. Lett. , vol.11 , pp. 511-514
    • Jones, M.C.1    Sheather, S.J.2
  • 12
    • 0001366850 scopus 로고
    • Exact mean integrated squared error
    • Marron, J.S. and M.P. Wand, Exact mean integrated squared error, Ann. Statist., 13 (1992) 712-736.
    • (1992) Ann. Statist. , vol.13 , pp. 712-736
    • Marron, J.S.1    Wand, M.P.2
  • 13
  • 14
    • 0002780488 scopus 로고
    • Comparison of data-driven bandwidth selectors
    • Park, B.U. and J.S. Marron, Comparison of data-driven bandwidth selectors, J. Amer. Statist. Assoc., 85 (1990) 66-72.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 66-72
    • Park, B.U.1    Marron, J.S.2
  • 15
    • 0002369909 scopus 로고
    • Empirical choice of histograms and kernel density estimators
    • Rudemo, M. Empirical choice of histograms and kernel density estimators, Scand. J. Statist., 9 (1982) 65-78.
    • (1982) Scand. J. Statist. , vol.9 , pp. 65-78
    • Rudemo, M.1
  • 17
    • 0000216844 scopus 로고
    • Average shifted histograms: Effective nonparametric density estimators in several dimensions
    • Scott, D.W. Average shifted histograms: effective nonparametric density estimators in several dimensions, Ann. Statist., 13 (1985) 1024-1040.
    • (1985) Ann. Statist. , vol.13 , pp. 1024-1040
    • Scott, D.W.1
  • 20
    • 84935473220 scopus 로고
    • Biased and unbiased cross-validation in density estimation
    • Scott, D.W. and G.R. Terrell, Biased and unbiased cross-validation in density estimation, J. Amer. Statist. Assoc., 82 (1987) 1131-1156.
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 1131-1156
    • Scott, D.W.1    Terrell, G.R.2
  • 22
    • 0001268552 scopus 로고
    • A reliable data-based bandwidth selection method for kernel density estimation
    • Sheather, S.J. and M.C. Jones, A reliable data-based bandwidth selection method for kernel density estimation, J. Roy. Statist. Soc. Ser. B, 53 (1991) 683-690.
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 683-690
    • Sheather, S.J.1    Jones, M.C.2
  • 23
    • 0002319720 scopus 로고
    • Kernel density estimation using the fast fourier transform
    • Silverman, B.W. Kernel density estimation using the fast Fourier transform, Appl. Statist., 31 (1982) 93-99.
    • (1982) Appl. Statist. , vol.31 , pp. 93-99
    • Silverman, B.W.1
  • 25
    • 0001222170 scopus 로고
    • Bootstrap choice of the smoothing parameter in kernel density estimation
    • Taylor, C.C., Bootstrap choice of the smoothing parameter in kernel density estimation, Biometrika, 76 (1989) 705-712.
    • (1989) Biometrika , vol.76 , pp. 705-712
    • Taylor, C.C.1
  • 26
    • 84952221978 scopus 로고
    • Fast computation of multivariate kernel estimators
    • Wand, M.P., Fast computation of multivariate kernel estimators, J. Comput. Graph. Statist., 3 (1994) 433-445.
    • (1994) J. Comput. Graph. Statist. , vol.3 , pp. 433-445
    • Wand, M.P.1
  • 27
    • 21144474248 scopus 로고
    • Comparison of smoothing parametrizations for bivariate kernel density estimation
    • Wand, M.P. and M.C. Jones, Comparison of smoothing parametrizations for bivariate kernel density estimation, J. Amer. Statist. Assoc., 88 (1993) 520-528.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 520-528
    • Wand, M.P.1    Jones, M.C.2
  • 28
    • 21344497986 scopus 로고
    • Multivariate plug-in bandwidth selection
    • Wand, M.P. and M.C. Jones, Multivariate plug-in bandwidth selection, Comput. Statist., 9 (1994) 97-116.
    • (1994) Comput. Statist. , vol.9 , pp. 97-116
    • Wand, M.P.1    Jones, M.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.