메뉴 건너뛰기




Volumn 15, Issue 1, 2005, Pages 73-98

Unimodal kernel density estimation by data sharpening

Author keywords

Bandwidth; Data sharpening; Heavy tailed distributions; Kernel methods; Mean squared error; Nonparametric density estimation; Order constraint; Tilting methods; Unimodal density

Indexed keywords


EID: 17244369948     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (26)
  • 2
    • 0031494445 scopus 로고    scopus 로고
    • Estimation of unimodal densities without smoothness assumptions
    • Birgé, L. (1997). Estimation of unimodal densities without smoothness assumptions. Ann. Statist. 25, 970-980.
    • (1997) Ann. Statist. , vol.25 , pp. 970-980
    • Birgé, L.1
  • 3
    • 21344472936 scopus 로고    scopus 로고
    • Some problems on the estimation of unimodal densities
    • Bickel, P. J. and Fan, J. (1996). Some problems on the estimation of unimodal densities. Statist. Sinica 6, 23-45.
    • (1996) Statist. Sinica , vol.6 , pp. 23-45
    • Bickel, P.J.1    Fan, J.2
  • 4
    • 0035567247 scopus 로고    scopus 로고
    • Data sharpening for nonparametric inference subject to constraints
    • Braun, W. J. and Hall, P. (2001). Data sharpening for nonparametric inference subject to constraints. J. Comput. Graph. Statist. 4, 786-806.
    • (2001) J. Comput. Graph. Statist. , vol.4 , pp. 786-806
    • Braun, W.J.1    Hall, P.2
  • 5
    • 0033245255 scopus 로고    scopus 로고
    • Nonparametric density estimation under unimodal and monotonicity constraints
    • Cheng, M.-Y., Gasser, T. and Hall, P. (1999). Nonparametric density estimation under unimodal and monotonicity constraints. J. Computat. Graph. Statist. 8, 1-21.
    • (1999) J. Computat. Graph. Statist. , vol.8 , pp. 1-21
    • Cheng, M.-Y.1    Gasser, T.2    Hall, P.3
  • 8
    • 0031232379 scopus 로고    scopus 로고
    • Estimation de densités unimodales
    • Fougères, A.-L. (1997). Estimation de densités unimodales. Canad. J. Statist. 25, 375-387.
    • (1997) Canad. J. Statist. , vol.25 , pp. 375-387
    • Fougères, A.-L.1
  • 9
    • 0021477545 scopus 로고
    • The monotone smoothing of scatterplots
    • Friedman, J. H. and Tibshirani, R. J. (1984). The monotone smoothing of scatterplots. Technometrics 26, 243-250.
    • (1984) Technometrics , vol.26 , pp. 243-250
    • Friedman, J.H.1    Tibshirani, R.J.2
  • 10
    • 84945603474 scopus 로고
    • On the theory of mortality measurement, II
    • Grenander, U. (1956). On the theory of mortality measurement, II. Skand. Akt. 39, 125-153.
    • (1956) Skand. Akt. , vol.39 , pp. 125-153
    • Grenander, U.1
  • 11
    • 0035539846 scopus 로고    scopus 로고
    • Nonparametric kernel regression subject to monotonicity constraints
    • Hall, P. and Huang, L.-S. (2001). Nonparametric kernel regression subject to monotonicity constraints. Ann. Statist. 29, 624-647.
    • (2001) Ann. Statist. , vol.29 , pp. 624-647
    • Hall, P.1    Huang, L.-S.2
  • 12
    • 0036822874 scopus 로고    scopus 로고
    • Unimodal density estimation using kernel methods
    • Hall, P. and Huang, L.-S. (2002). Unimodal density estimation using kernel methods. Statist. Sinica 12, 965-990.
    • (2002) Statist. Sinica , vol.12 , pp. 965-990
    • Hall, P.1    Huang, L.-S.2
  • 13
  • 15
    • 0025677551 scopus 로고
    • Monotone smoothing with application to dose-response curves and assessment of synergism
    • Kelly, C. and Rice, J. (1990). Monotone smoothing with application to dose-response curves and assessment of synergism. Biometrics 46, 1071-1085.
    • (1990) Biometrics , vol.46 , pp. 1071-1085
    • Kelly, C.1    Rice, J.2
  • 17
    • 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
  • 18
    • 0033241923 scopus 로고    scopus 로고
    • Smoothing splines and shape restrictions
    • Mammen, E. and Thomas-Agnan, C. (1999). Smoothing splines and shape restrictions. Scand. J. Statist. 26, 239-252.
    • (1999) Scand. J. Statist. , vol.26 , pp. 239-252
    • Mammen, E.1    Thomas-Agnan, C.2
  • 19
    • 0002727835 scopus 로고
    • Estimation of a unimodal density
    • Prakasa Rao, B. L. S. (1969). Estimation of a unimodal density. Sankhyā Ser. A 31, 23-36.
    • (1969) Sankhyā Ser. A , vol.31 , pp. 23-36
    • Prakasa Rao, B.L.S.1
  • 20
    • 38149144926 scopus 로고
    • Generalization of least-square isotonic regression
    • Qian, S. (1994). Generalization of least-square isotonic regression. J. Statist. Plann. Inference 38, 389-397.
    • (1994) J. Statist. Plann. Inference , vol.38 , pp. 389-397
    • Qian, S.1
  • 21
    • 84972507631 scopus 로고
    • Monotone regression splines in action
    • Ramsay, J. O. (1988). Monotone regression splines in action (with discussion). Statist. Sci. 3, 425-461.
    • (1988) Statist. Sci. , vol.3 , pp. 425-461
    • Ramsay, J.O.1
  • 23
    • 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
  • 26
    • 0000024854 scopus 로고
    • The L1-theory of estimation of monotone and unimodal densities
    • Wang, Y. (1995). The L1-theory of estimation of monotone and unimodal densities. J. Non-param. Statist. 4, 249-261.
    • (1995) J. Non-param. Statist. , vol.4 , pp. 249-261
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.