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Volumn 29, Issue 2, 1997, Pages 131-160

Nonparametric estimation of regression level sets

Author keywords

Excess mass; Optimal rate of convergence; Piecewise polynomial estimator; Regression level set

Indexed keywords


EID: 0031502338     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331889708802579     Document Type: Article
Times cited : (41)

References (14)
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    • (1983) Z. Wahrsch. Theor. , vol.B65 , pp. 181-238
    • Birgé, L.1
  • 2
  • 4
    • 0001341972 scopus 로고
    • Estimation of a convex density contour in two dimensions
    • Hartigan, J. A. (1987) Estimation of a convex density contour in two dimensions. J.A.S.A, 82, 267-270.
    • (1987) J.A.S.A , vol.82 , pp. 267-270
    • Hartigan, J.A.1
  • 7
    • 21844497119 scopus 로고
    • Asymptotical minimax recovery of sets with smooth boundaries
    • Mammen, E. and Tsybakov, A. B. (1995) Asymptotical minimax recovery of sets with smooth boundaries. Ann. Statist., 23, p. 502-524.
    • (1995) Ann. Statist. , vol.23 , pp. 502-524
    • Mammen, E.1    Tsybakov, A.B.2
  • 8
    • 0000371878 scopus 로고
    • Excess mass estimates and tests of multimodality
    • Müller, D. W. and Sawitzki, G. (1991) Excess mass estimates and tests of multimodality. J.A.S.A., 86, 738-746.
    • (1991) J.A.S.A. , vol.86 , pp. 738-746
    • Müller, D.W.1    Sawitzki, G.2
  • 9
    • 0009222662 scopus 로고
    • The excess mass approach in statistics
    • Universität Heidelberg
    • Müller, D. W. (1993) The excess mass approach in statistics. Beiträge zur Statistik n.3, Universität Heidelberg.
    • (1993) Beiträge Zur Statistik , vol.3
    • Müller, D.W.1
  • 10
    • 0001642186 scopus 로고
    • The excess mass ellipsoid
    • Nolan, D. (1991) The excess mass ellipsoid. J. Multic. Analysis, 39, p. 348-371.
    • (1991) J. Multic. Analysis , vol.39 , pp. 348-371
    • Nolan, D.1
  • 11
    • 85033180204 scopus 로고
    • Measuring mass concentration and estimating density contour clusters - An excess mass approach
    • Universität Heidelberg
    • Polonik, W. (1993) Measuring mass concentration and estimating density contour clusters - an excess mass approach. Beiträge zur Statistik n.7, Universität Heidelberg.
    • (1993) Beiträge Zur Statistik , vol.7
    • Polonik, W.1
  • 12
    • 0000439527 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
  • 13
    • 0020112256 scopus 로고
    • Signal estimation when there is incomplete information on the noise distribution
    • Tsybakov, A. B. (1982) Signal estimation when there is incomplete information on the noise distribution. Problems of Information Transmission 18, p.116-130.
    • (1982) Problems of Information Transmission , vol.18 , pp. 116-130
    • Tsybakov, A.B.1
  • 14
    • 85033172687 scopus 로고
    • On non parametric estimation of density level sets
    • Université Paris VI
    • Tsybakov, A. B. (1994) On non parametric estimation of density level sets. Rapport Technique n.94/01, Université Paris VI.
    • (1994) Rapport Technique , vol.94 , Issue.1
    • Tsybakov, A.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.