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Volumn 25, Issue 6, 1997, Pages 2273-2299

Granulometric smoothing

Author keywords

Excess mass; Granulometry; Highest posterior density regions; Level sets; Minimum volume sets; Mode; Multivariate confidence regions; Smoothing

Indexed keywords


EID: 0031316270     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1030741072     Document Type: Article
Times cited : (112)

References (30)
  • 1
    • 0000356348 scopus 로고
    • Probability inequalities for empirical processes and a law of the iterated logarithm
    • ALEXANDER, K. S. (1984). Probability inequalities for empirical processes and a law of the iterated logarithm. Ann. Probab. 12 1041-1067.
    • (1984) Ann. Probab. , vol.12 , pp. 1041-1067
    • Alexander, K.S.1
  • 6
    • 0002934346 scopus 로고
    • On pattern analysis in the non-convex case
    • CUEVAS, A. (1990). On pattern analysis in the non-convex case. Kybernetes 19 26-33.
    • (1990) Kybernetes , vol.19 , pp. 26-33
    • Cuevas, A.1
  • 7
    • 21844527396 scopus 로고
    • A new general method for constructing confidence sets in arbitrary dimensions: With applications
    • DASGUPTA, A., GHOSH, J. K. and ZEN, M. M. (1995). A new general method for constructing confidence sets in arbitrary dimensions: with applications. Ann. Statist. 23 1408-1432.
    • (1995) Ann. Statist. , vol.23 , pp. 1408-1432
    • Dasgupta, A.1    Ghosh, J.K.2    Zen, M.M.3
  • 9
    • 0008364462 scopus 로고    scopus 로고
    • Rates of convergence for random approximations of convex sets
    • DUMBGEN, L. and WALTHER, G. (1996). Rates of convergence for random approximations of convex sets. Adv. in Appl. Probab. 28 384-393.
    • (1996) Adv. in Appl. Probab. , vol.28 , pp. 384-393
    • Dumbgen, L.1    Walther, G.2
  • 12
    • 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. Amer. Statist. Assoc. 82 267-270.
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 267-270
    • Hartigan, J.A.1
  • 13
    • 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. 23 502-524.
    • (1995) Ann. Statist. , vol.23 , pp. 502-524
    • Mammen, E.1    Tsybakov, A.B.2
  • 14
    • 0041082260 scopus 로고
    • Characterizations of convex sets
    • P. M. Gruber and J. M. Wills, eds. North-Holland, Amsterdam
    • MANI-LEVITSKA, P. (1993). Characterizations of convex sets. In Handbook of Convex Geometry (P. M. Gruber and J. M. Wills, eds.) A 19-41. North-Holland, Amsterdam.
    • (1993) Handbook of Convex Geometry , vol.A , pp. 19-41
    • Mani-Levitska, P.1
  • 17
    • 0001805469 scopus 로고
    • Inclusion-exclusion-Bonferroni identities and inequalities for discrete tube-like problems via Euler characteristics
    • NAIMAN, D. Q. and WYNN, H. P. (1992). Inclusion-exclusion-Bonferroni identities and inequalities for discrete tube-like problems via Euler characteristics. Ann. Statist. 20 43-76.
    • (1992) Ann. Statist. , vol.20 , pp. 43-76
    • Naiman, D.Q.1    Wynn, H.P.2
  • 18
    • 0001642186 scopus 로고
    • The excess-mass ellipsoid
    • NOLAN, D. (1991). The excess-mass ellipsoid. J. Multivariate Anal. 39 348-371.
    • (1991) J. Multivariate Anal. , vol.39 , pp. 348-371
    • Nolan, D.1
  • 19
    • 0039303073 scopus 로고
    • Sur les ensembles e-convexes
    • PERKAL, J. (1956). Sur les ensembles e-convexes. Colloq. Math. 4 1-10.
    • (1956) Colloq. Math. , vol.4 , pp. 1-10
    • Perkal, J.1
  • 22
    • 0001030653 scopus 로고
    • Measuring mass concentrations and estimating density contour clusters - an excess mass approach
    • POLONIK, W. (1995). Measuring mass concentrations and estimating density contour clusters - an excess mass approach. Ann. Statist. 23 855-881.
    • (1995) Ann. Statist. , vol.23 , pp. 855-881
    • Polonik, W.1
  • 24
    • 0000964497 scopus 로고
    • On weak convergence and optimality of kernel density estimates of the mode
    • ROMANO, J. P. (1988b). On weak convergence and optimality of kernel density estimates of the mode. Ann. Statist. 16 629-647.
    • (1988) Ann. Statist. , vol.16 , pp. 629-647
    • Romano, J.P.1
  • 27
    • 0000318738 scopus 로고
    • The oscillation behavior of empirical processes: The multivariate case
    • STUTE, W. (1984). The oscillation behavior of empirical processes: the multivariate case. Ann. Probab. 12 361-379.
    • (1984) Ann. Probab. , vol.12 , pp. 361-379
    • Stute, W.1
  • 30
    • 0040488272 scopus 로고
    • On a generalization of Blaschke's rolling theorem and the smoothing of surfaces
    • To appear
    • WALTHER, G. (1995). On a generalization of Blaschke's rolling theorem and the smoothing of surfaces. Math. Methods Appl. Sci. To appear.
    • (1995) Math. Methods Appl. Sci.
    • Walther, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.