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Volumn 65, Issue 4, 2003, Pages 411-417

Total error in a plug-in estimator of level sets

Author keywords

Empirical process theory; Kernel density estimates; Level set estimation; Rates of convergence

Indexed keywords


EID: 0345058998     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2003.08.007     Document Type: Article
Times cited : (38)

References (16)
  • 3
    • 0000476095 scopus 로고
    • Detection of abnormal behaviour via nonparametric estimation of the support
    • Devroye L. Wise G. Detection of abnormal behaviour via nonparametric estimation of the support SIAM J. Appl. Math. 38 1980 480-488
    • (1980) SIAM J. Appl. Math. , vol.38 , pp. 480-488
    • Devroye, L.1    Wise, G.2
  • 5
    • 0001765899 scopus 로고
    • Generalized quantile processes
    • Einmahl J. Mason D. Generalized quantile processes Ann. Statist. 20 2 1992 1062-1078
    • (1992) Ann. Statist. , vol.20 , Issue.2 , pp. 1062-1078
    • Einmahl, J.1    Mason, D.2
  • 8
    • 0001035413 scopus 로고
    • On the method of bounded differences
    • Cambridge University Press, Cambridge
    • McDiarmid C. 1989 On the method of bounded differences. London Mathematical Society Lecture Notes Series, Vol. 141. Cambridge University Press, Cambridge, pp. 148-188.
    • (1989) London Mathematical Society Lecture Notes Series , vol.141 , pp. 148-188
    • McDiarmid, C.1
  • 9
    • 0032362040 scopus 로고    scopus 로고
    • A limit theorem for solutions of inequalities
    • Molchanov I.S. A limit theorem for solutions of inequalities Scand. J. Statist. 25 1998 235-242
    • (1998) Scand. J. Statist. , vol.25 , pp. 235-242
    • Molchanov, I.S.1
  • 10
    • 0001030653 scopus 로고
    • Measuring mass concentrations and estimating density contours clusters-an excess mass approach
    • Polonik W. Measuring mass concentrations and estimating density contours clusters-an excess mass approach Ann. Statist. 23 3 1995 855-881
    • (1995) Ann. Statist. , vol.23 , Issue.3 , pp. 855-881
    • Polonik, W.1
  • 11
    • 0031592717 scopus 로고    scopus 로고
    • Minimum volume sets and generalized quantile processes
    • Polonik W. Minimum volume sets and generalized quantile processes Stochastic Process Appl. 69 1997 1-24
    • (1997) Stochastic Process Appl. , vol.69 , pp. 1-24
    • Polonik, W.1
  • 13
    • 0000318738 scopus 로고
    • The oscillation behavior of empirical processes: The multivariate case
    • Stute W. The oscillation behavior of empirical processes: the multivariate case Ann. Probab. 12 2 1984 361-379
    • (1984) Ann. Probab. , vol.12 , Issue.2 , pp. 361-379
    • Stute, W.1
  • 14
    • 0031478562 scopus 로고    scopus 로고
    • On nonparametric estimation of density level sets
    • Tsybakov A.B. On nonparametric estimation of density level sets Ann. Statist. 25 3 1997 948-969
    • (1997) Ann. Statist. , vol.25 , Issue.3 , pp. 948-969
    • Tsybakov, A.B.1
  • 16
    • 0031316270 scopus 로고    scopus 로고
    • Granulometric smoothing
    • Walther G. Granulometric smoothing Ann. Statist. 25 6 1997 2273-2299
    • (1997) Ann. Statist. , vol.25 , Issue.6 , pp. 2273-2299
    • Walther, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.