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Volumn , Issue , 2009, Pages

Set Estimation

Author keywords

Boundaries level sets; Supports

Indexed keywords


EID: 84920043699     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1093/acprof:oso/9780199232574.003.0011     Document Type: Chapter
Times cited : (12)

References (89)
  • 1
    • 17444380791 scopus 로고    scopus 로고
    • Nonparametric frontier estimation: A conditional quantile-based approach
    • Aragon, Y., Daouia, A. and Thomas-Agnan, C. (2005). Nonparametric frontier estimation: A conditional quantile-based approach. Economet. Theor., 21, 358-389.
    • (2005) Economet. Theor. , vol.21 , pp. 358-389
    • Aragon, Y.1    Daouia, A.2    Thomas-Agnan, C.3
  • 2
    • 34547706430 scopus 로고    scopus 로고
    • Fast learning rates for plug-in classifiers
    • Audibert, J.Y. and Tsybakov, A.B. (2007). Fast learning rates for plug-in classifiers. Ann. Statist., 35, 608-633.
    • (2007) Ann. Statist. , vol.35 , pp. 608-633
    • Audibert, J.Y.1    Tsybakov, A.B.2
  • 3
    • 0031697338 scopus 로고    scopus 로고
    • Averaging of random sets based on their distance functions
    • Baddeley, A. and Molchanov, I. (1998). Averaging of random sets based on their distance functions. J. Math. Imaging Vision, 8, 79-92.
    • (1998) J. Math. Imaging Vision , vol.8 , pp. 79-92
    • Baddeley, A.1    Molchanov, I.2
  • 4
    • 0345058998 scopus 로고    scopus 로고
    • Total error in a plug-in estimator of level sets
    • Baíllo, A. (2003). Total error in a plug-in estimator of level sets. Statist. Probab. Lett., 65, 411-417.
    • (2003) Statist. Probab. Lett. , vol.65 , pp. 411-417
    • Baíllo, A.1
  • 5
    • 0035710509 scopus 로고    scopus 로고
    • On the estimation of a star-shaped set
    • Baíllo, A. and Cuevas, A. (2001). On the estimation of a star-shaped set. Adv. in Appl. Probab., 33, 1-10.
    • (2001) Adv. in Appl. Probab. , vol.33 , pp. 1-10
    • Baíllo, A.1    Cuevas, A.2
  • 6
    • 33745654571 scopus 로고    scopus 로고
    • Image estimators based on marked bins
    • Baíllo, A. and Cuevas, A. (2006). Image estimators based on marked bins. Statistics, 40, 277-288.
    • (2006) Statistics , vol.40 , pp. 277-288
    • Baíllo, A.1    Cuevas, A.2
  • 7
    • 0034551602 scopus 로고    scopus 로고
    • Set estimation and nonparametric detection
    • Baíllo, A., Cuevas, A. and Justel, A. (2000). Set estimation and nonparametric detection. Canad. J. Statist., 28, 765-782.
    • (2000) Canad. J. Statist. , vol.28 , pp. 765-782
    • Baíllo, A.1    Cuevas, A.2    Justel, A.3
  • 8
    • 33644682787 scopus 로고    scopus 로고
    • Kernel estimation of density level sets
    • Cadre, B. (2006). Kernel estimation of density level sets. J. Multivariate Anal., 97, 999-1023.
    • (2006) J. Multivariate Anal. , vol.97 , pp. 999-1023
    • Cadre, B.1
  • 10
    • 43749112531 scopus 로고    scopus 로고
    • Minimax bounds for active learning
    • Castro, R.M. and Nowak, R.D. (2008). Minimax bounds for active learning. IEEE T. Inform. Theory, 5, 2339-2353.
    • (2008) IEEE T. Inform. Theory , vol.5 , pp. 2339-2353
    • Castro, R.M.1    Nowak, R.D.2
  • 11
    • 0031502338 scopus 로고    scopus 로고
    • Nonparametric estimation of regression level sets
    • Cavalier, L. (1997). Nonparametric estimation of regression level sets. Statistics, 29, 131-160.
    • (1997) Statistics , vol.29 , pp. 131-160
    • Cavalier, L.1
  • 12
    • 33746915722 scopus 로고    scopus 로고
    • Methods for tracking support boundaries with corners
    • Cheng, M.Y. and Hall, P. (2006). Methods for tracking support boundaries with corners. J. Multivariate Anal., 97, 1870-93.
    • (2006) J. Multivariate Anal. , vol.97 , pp. 1870-1893
    • Cheng, M.Y.1    Hall, P.2
  • 13
    • 0001276924 scopus 로고
    • Estimation du support et du contour de support d'une loi de probabilité
    • Chevalier, J. (1976). Estimation du support et du contour de support d'une loi de probabilité. Ann. Inst. H. Poincaré B, 12, 339-364.
    • (1976) Ann. Inst. H. Poincaré B , vol.12 , pp. 339-364
    • Chevalier, J.1
  • 14
    • 0031329212 scopus 로고    scopus 로고
    • A plug-in approach to support estimation
    • Cuevas, A. and Fraiman, R. (1997). A plug-in approach to support estimation. Ann. Statist., 25, 2300-2312.
    • (1997) Ann. Statist. , vol.25 , pp. 2300-2312
    • Cuevas, A.1    Fraiman, R.2
  • 16
    • 49349094933 scopus 로고    scopus 로고
    • A nonparametric approach to the estimation of lengths and surface areas
    • Cuevas, A., Fraiman, R. and Rodríguez-Casal, A. (2007). A nonparametric approach to the estimation of lengths and surface areas. Ann. Statist., 35, 1031-1051.
    • (2007) Ann. Statist. , vol.35 , pp. 1031-1051
    • Cuevas, A.1    Fraiman, R.2    Rodríguez-Casal, A.3
  • 19
    • 0039895273 scopus 로고
    • Strong bounds for multidimensional spacings
    • Deheuvels, P. (1983). Strong bounds for multidimensional spacings. Z. Wahrsch. verw. Gebiete, 64, 411-424.
    • (1983) Z. Wahrsch. verw. Gebiete , vol.64 , pp. 411-424
    • Deheuvels, P.1
  • 21
    • 0001260187 scopus 로고
    • The equivalence of weak, strong and complete convergence in L 1 for kernel density estimates
    • Devroye, L. (1983). The equivalence of weak, strong and complete convergence in L 1 for kernel density estimates. Ann. Statist., 11, 896-904.
    • (1983) Ann. Statist. , vol.11 , pp. 896-904
    • Devroye, L.1
  • 23
    • 0000476095 scopus 로고
    • Detection of abnormal behaviour via nonparametric, estimation of the support
    • Devroye, L. and Wise, G. (1980). Detection of abnormal behaviour via nonparametric, estimation of the support. SIAM J. Appl. Math., 3, 480-488.
    • (1980) SIAM J. Appl. Math. , vol.3 , pp. 480-488
    • Devroye, L.1    Wise, G.2
  • 24
    • 0033248623 scopus 로고    scopus 로고
    • Wedgelets: nearly minimax estimation of edges
    • Donoho, D.L. (1999). Wedgelets: nearly minimax estimation of edges. Ann. Statist., 27, 859-897.
    • (1999) Ann. Statist. , vol.27 , pp. 859-897
    • Donoho, D.L.1
  • 25
    • 0000765066 scopus 로고
    • Metric entropy of some classes of sets with differentiable boundaries
    • Dudley, R.M. (1974). Metric entropy of some classes of sets with differentiable boundaries. J. Approx. Theory, 10, 227-236.
    • (1974) J. Approx. Theory , vol.10 , pp. 227-236
    • Dudley, R.M.1
  • 26
    • 0008364462 scopus 로고    scopus 로고
    • Rates of convergence for random approximations of convex sets
    • Dümbgen, 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
    • Dümbgen, L.1    Walther, G.2
  • 29
    • 0000648003 scopus 로고
    • The measurement of productive efficiency
    • Farrell, M.J. (1957). The measurement of productive efficiency. J. Roy. Statist. Soc. Ser. A, 120, 253-281.
    • (1957) J. Roy. Statist. Soc. Ser. A , vol.120 , pp. 253-281
    • Farrell, M.J.1
  • 30
  • 31
    • 0842285868 scopus 로고    scopus 로고
    • Boundary estimation based on set-indexed empirical processes
    • Ferger, D. (2004). Boundary estimation based on set-indexed empirical processes. J. Nonparametr. Stat., 16, 245-260.
    • (2004) J. Nonparametr. Stat. , vol.16 , pp. 245-260
    • Ferger, D.1
  • 32
    • 0012283064 scopus 로고    scopus 로고
    • Minimax hypothesis testing about the density support
    • Gayraud, G. (2001). Minimax hypothesis testing about the density support. Bernoulli, 7, 507-525.
    • (2001) Bernoulli , vol.7 , pp. 507-525
    • Gayraud, G.1
  • 33
    • 28044453724 scopus 로고    scopus 로고
    • Rates of convergence for a Bayesian level set estimation
    • Gayraud, G. and Rousseau, J. (2005). Rates of convergence for a Bayesian level set estimation. Scand. J. Statist., 32, 639-660.
    • (2005) Scand. J. Statist. , vol.32 , pp. 639-660
    • Gayraud, G.1    Rousseau, J.2
  • 34
    • 0036556157 scopus 로고    scopus 로고
    • Testing hypotheses about contours in images
    • G10, (62G20)
    • Gayraud, G. and Tsybakov, A.B. (2002). Testing hypotheses about contours in images. J. Nonparametr. Stat., 14, 67-85. 62G10 (62G20).
    • (2002) J. Nonparametr. Stat. , vol.14
    • Gayraud, G.1    Tsybakov, A.B.2
  • 35
  • 36
    • 0037502975 scopus 로고    scopus 로고
    • Extreme values and Haar series estimates of point process boundaries
    • Girard, S. and Jacob, P. (2003). Extreme values and Haar series estimates of point process boundaries. Scand. J. Statist., 30, 369-384.
    • (2003) Scand. J. Statist. , vol.30 , pp. 369-384
    • Girard, S.1    Jacob, P.2
  • 38
    • 21844481344 scopus 로고
    • Estimating the home range
    • De Haan, L. and Resnick, S. (1994). Estimating the home range. J. Appl. Probab., 31, 700-720.
    • (1994) J. Appl. Probab. , vol.31 , pp. 700-720
    • Haan, D.L.1    Resnick, S.2
  • 39
    • 0031208941 scopus 로고    scopus 로고
    • On the estimation of a support curve of indeterminate sharpness
    • Hall, P., Nussbaum, M. and Stern, S.E. (1997). On the estimation of a support curve of indeterminate sharpness. J. Multivariate Anal., 62, 204-232.
    • (1997) J. Multivariate Anal. , vol.62 , pp. 204-232
    • Hall, P.1    Nussbaum, M.2    Stern, S.E.3
  • 40
    • 0002022117 scopus 로고    scopus 로고
    • On polynomial estimators of frontiers and boundaries
    • Hall, P., Park, B.U. and Stern, S.E. (1998). On polynomial estimators of frontiers and boundaries. J. Multivariate Anal., 66, 71-98.
    • (1998) J. Multivariate Anal. , vol.66 , pp. 71-98
    • Hall, P.1    Park, B.U.2    Stern, S.E.3
  • 41
    • 0036847156 scopus 로고    scopus 로고
    • Rolling-ball method for estimating the boundary of the support of a point-process intensity
    • Hall, P., Park, B. and Turlach, B. (2002). Rolling-ball method for estimating the boundary of the support of a point-process intensity. Ann. Inst. H. Poincaré Probab. Statist., 38, 959-971.
    • (2002) Ann. Inst. H. Poincaré Probab. Statist. , vol.38 , pp. 959-971
    • Hall, P.1    Park, B.2    Turlach, B.3
  • 42
    • 0035535703 scopus 로고    scopus 로고
    • Local likelihood tracking of fault lines and boundaries
    • Hall, P., Peng, L. and Rau, C. (2001). Local likelihood tracking of fault lines and boundaries. J. Roy. Statist. Soc. Ser. B, 63, 569-582.
    • (2001) J. Roy. Statist. Soc. Ser. B , vol.63 , pp. 569-582
    • Hall, P.1    Peng, L.2    Rau, C.3
  • 43
    • 0034361724 scopus 로고    scopus 로고
    • Tracking a smooth fault line in a response surface
    • Hall, P. and Rau, C. (2000). Tracking a smooth fault line in a response surface. Ann. Statist., 28, 713-733.
    • (2000) Ann. Statist. , vol.28 , pp. 713-733
    • Hall, P.1    Rau, C.2
  • 45
    • 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
  • 46
    • 0041082246 scopus 로고
    • Maximal spacings in several dimensions
    • Janson, S. (1987). Maximal spacings in several dimensions. Ann. Probab., 15, 274-280.
    • (1987) Ann. Probab. , vol.15 , pp. 274-280
    • Janson, S.1
  • 47
    • 34547868556 scopus 로고    scopus 로고
    • Cluster analysis of massive datasets in astronomy
    • Jang, W. and Hendry, M. (2007). Cluster analysis of massive datasets in astronomy. Stat. Comput., 17, 253-262.
    • (2007) Stat. Comput. , vol.17 , pp. 253-262
    • Jang, W.1    Hendry, M.2
  • 48
    • 55449126653 scopus 로고    scopus 로고
    • Local empirical processes near boundaries of convex bodies
    • Khmaladze, E. and Weil, W. (2007). Local empirical processes near boundaries of convex bodies. Ann. Inst. Stat. Math., 60, 813-842.
    • (2007) Ann. Inst. Stat. Math. , vol.60 , pp. 813-842
    • Khmaladze, E.1    Weil, W.2
  • 49
    • 0346961497 scopus 로고    scopus 로고
    • Complexity penalized support estimation
    • Klemelä, J. (2004). Complexity penalized support estimation. J. Multivariate Anal., 88, 274-297.
    • (2004) J. Multivariate Anal. , vol.88 , pp. 274-297
    • Klemelä, J.1
  • 51
    • 21844487619 scopus 로고
    • Efficient estimation of monotone boundaries
    • Korostelev, A. P., Simar, L., and Tsybakov, A. B. (1995b) Efficient estimation of monotone boundaries. Ann. Statist., 23, 476-489.
    • (1995) Ann. Statist. , vol.23 , pp. 476-489
    • Korostelev, A.P.1    Simar, L.2    Tsybakov, A.B.3
  • 53
    • 0040200708 scopus 로고
    • Estimating the support of a density and functionals of it
    • Korostelev, A.P. and Tsybakov, A.B. (1993). Estimating the support of a density and functionals of it. Problems Inform. Transmission, 29, 1-15.
    • (1993) Problems Inform. Transmission , vol.29 , pp. 1-15
    • Korostelev, A.P.1    Tsybakov, A.B.2
  • 55
    • 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
  • 57
    • 69149089372 scopus 로고    scopus 로고
    • Asymptotic normality of plug-in level set estimates
    • Mason, D.M. and Polonik, W. (2009). Asymptotic normality of plug-in level set estimates. Ann. Appl. Probab. 19, 1108-1142.
    • (2009) Ann. Appl. Probab , vol.19 , pp. 1108-1142
    • Mason, D.M.1    Polonik, W.2
  • 59
    • 0032362040 scopus 로고    scopus 로고
    • A limit theorem for solutions of inequalities
    • Molchanov, I. (1998). A limit theorem for solutions of inequalities. Scand. J. Statist., 25, 235-242.
    • (1998) Scand. J. Statist. , vol.25 , pp. 235-242
    • Molchanov, I.1
  • 60
    • 0000371878 scopus 로고
    • Excess mass estimates and tests of mul-timodality
    • Müller, D.W. and Sawitzki, G. (1991). Excess mass estimates and tests of mul-timodality. J. Amer. Statist. Assoc., 86, 738-746.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 738-746
    • Müller, D.W.1    Sawitzki, G.2
  • 61
    • 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
  • 62
    • 0034360329 scopus 로고    scopus 로고
    • The FDH estimator for productivity efficiency scores
    • Park, B.U., Simar, L. and Weiner, C. (2000). The FDH estimator for productivity efficiency scores. Economet. Theor., 16, 855-877.
    • (2000) Economet. Theor. , vol.16 , pp. 855-877
    • Park, B.U.1    Simar, L.2    Weiner, C.3
  • 63
    • 49349086609 scopus 로고    scopus 로고
    • Length and surface area estimation under convexity type restrictions
    • Pateiro-López, B. and Rodríguez-Casal, A. (2008). Length and surface area estimation under convexity type restrictions. Adv. in Appl. Probab., 40, 348-358.
    • (2008) Adv. in Appl. Probab. , vol.40 , pp. 348-358
    • Pateiro-López, B.1    Rodríguez-Casal, A.2
  • 64
    • 0033243141 scopus 로고    scopus 로고
    • A strong law for the longest edge of the minimal spanning tree
    • Penrose, M.D. (1999). A strong law for the longest edge of the minimal spanning tree. Ann. Probab., 27, 246-260.
    • (1999) Ann. Probab. , vol.27 , pp. 246-260
    • Penrose, M.D.1
  • 65
    • 47249090814 scopus 로고    scopus 로고
    • Laws of large numbers in stochastic geometry with statistical applications
    • Penrose, M.D. (2007). Laws of large numbers in stochastic geometry with statistical applications. Bernoulli, 13, 1124-1150.
    • (2007) Bernoulli , vol.13 , pp. 1124-1150
    • Penrose, M.D.1
  • 66
    • 0037274513 scopus 로고    scopus 로고
    • Weak laws of large numbers in geometric probability
    • Penrose, M.D. and Yukich, J.E. (2003). Weak laws of large numbers in geometric probability. Ann. Appl. Probab., 13, 277-303.
    • (2003) Ann. Appl. Probab. , vol.13 , pp. 277-303
    • Penrose, M.D.1    Yukich, J.E.2
  • 68
    • 0001030653 scopus 로고
    • Measuring mass concentration and estimating density contour clusters-an excess mass approach
    • Polonik, W. (1995). Measuring mass concentration 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
  • 69
    • 18644381620 scopus 로고    scopus 로고
    • Estimation of regression contour clusters. An application of the excess mass approach to regression
    • Polonik, W. and Wang, Z. (2005). Estimation of regression contour clusters. An application of the excess mass approach to regression. J. Multivariate Anal., 94, 227-249.
    • (2005) J. Multivariate Anal. , vol.94 , pp. 227-249
    • Polonik, W.1    Wang, Z.2
  • 70
    • 0031352259 scopus 로고    scopus 로고
    • A novel approach to computation of the shape of a dot pattern and extraction of its perceptual border
    • Ray Chaudhuri, A., Chaudhuri, B. B. and Parui, S. K. (1997). A novel approach to computation of the shape of a dot pattern and extraction of its perceptual border. Comput. Vis. Image Und., 68, 257-275.
    • (1997) Comput. Vis. Image Und. , vol.68 , pp. 257-275
    • Chaudhuri, R.A.1    Chaudhuri, B.B.2    Parui, S.K.3
  • 72
    • 1642414281 scopus 로고    scopus 로고
    • An efficient set estimator in high dimensions: consistency and applications to fast data visualization
    • Ray Chaudhuri, A., Basu, Tan, K., Bhandari, S.K. and Chaudhuri, B.B. (2004). An efficient set estimator in high dimensions: consistency and applications to fast data visualization. Comput. Vis. Image Und., 93, 260-287.
    • (2004) Comput. Vis. Image Und. , vol.93 , pp. 260-287
    • Chaudhuri, R.A.1    Basu, T.K.2    Bhandari, S.K.3    Chaudhuri, B.B.4
  • 73
    • 0001888582 scopus 로고
    • Über die konvexe Hülle von n zufällig gewählten Punkten
    • Rényi, A. and Sulanke, R. (1963). Über die konvexe Hülle von n zufällig gewählten Punkten. Z. Wahrsch. verw. Gebiete, 2, 75-84.
    • (1963) Z. Wahrsch. verw. Gebiete , vol.2 , pp. 75-84
    • Rényi, A.1    Sulanke, R.2
  • 74
    • 4243406573 scopus 로고
    • Über die konvexe Hülle von n zufällig gewählten Punkten II
    • Rényi, A. and Sulanke, R. (1964). Über die konvexe Hülle von n zufällig gewählten Punkten II. Z. Wahrsch. verw. Gebiete, 3, 138-147.
    • (1964) Z. Wahrsch. verw. Gebiete , vol.3 , pp. 138-147
    • Rényi, A.1    Sulanke, R.2
  • 75
    • 84920018748 scopus 로고    scopus 로고
    • Fast rates for plug-in estimators of density level sets
    • Rigollet, P. and Vert, R. (2008). Fast rates for plug-in estimators of density level sets. Manuscript.
    • (2008) Manuscript
    • Rigollet, P.1    Vert, R.2
  • 76
    • 0000489655 scopus 로고
    • Finding the edge of a Poisson forest
    • Ripley, B.D. and Rasson, J.P. (1977). Finding the edge of a Poisson forest. J. Appl. Probab., 14, 483-491.
    • (1977) J. Appl. Probab. , vol.14 , pp. 483-491
    • Ripley, B.D.1    Rasson, J.P.2
  • 78
    • 0002000448 scopus 로고
    • Approximating the distribution of maximum likelihood contour estimators in two-region images
    • Rudemo, M. and Stryhn, H. (1994). Approximating the distribution of maximum likelihood contour estimators in two-region images. Scand. J. Statist., 21, 41-55.
    • (1994) Scand. J. Statist. , vol.21 , pp. 41-55
    • Rudemo, M.1    Stryhn, H.2
  • 81
    • 0034393216 scopus 로고    scopus 로고
    • Statistical inference in nonparametric frontier models: The state of the art
    • Simar, L. and Wilson, P. (2000). Statistical inference in nonparametric frontier models: The state of the art. J. Prod. Anal., 13, 49-78.
    • (2000) J. Prod. Anal. , vol.13 , pp. 49-78
    • Simar, L.1    Wilson, P.2
  • 83
    • 84920018747 scopus 로고    scopus 로고
    • Adaptive Hausdorff estimation of density level sets
    • Singh, A., Scott, C. and Nowak, R. (2007)Adaptive Hausdorff estimation of density level sets. Manuscript.
    • (2007) Manuscript
    • Singh, A.1    Scott, C.2    Nowak, R.3
  • 84
    • 21844462364 scopus 로고    scopus 로고
    • A classification framework for anomaly detection
    • Steinwart, I., Hush, D. and Scovel, C. (2005). A classification framework for anomaly detection. J. Machine Learn. Res., 6, 211-232.
    • (2005) J. Machine Learn. Res. , vol.6 , pp. 211-232
    • Steinwart, I.1    Hush, D.2    Scovel, C.3
  • 85
    • 0000904721 scopus 로고
    • (ed. M. Carlstein, H.G.. Müller and D. Siegmund), IMS Lecture Notes Monograph Series
    • Tsybakov, A.B. (1994) . Multidimensional change-point problems and boundary estimation. In Change-Point Problems (ed. M. Carlstein, H.G.. Müller and D. Siegmund), IMS Lecture Notes Monograph Series, 23, pp. 317-329.
    • (1994) Change-Point Problems , vol.23 , pp. 317-329
    • Tsybakov, A.B.1
  • 86
    • 0031478562 scopus 로고    scopus 로고
    • On nonparametric estimation of density level sets
    • Tsybakov, A.B. (1997). On nonparametric estimation of density level sets. Ann. Statist., 25, 948-969.
    • (1997) Ann. Statist. , vol.25 , pp. 948-969
    • Tsybakov, A.B.1
  • 87
    • 3142725508 scopus 로고    scopus 로고
    • Optimal aggregation of classifiers in statistical learning
    • Tsybakov, A.B. (2004). Optimal aggregation of classifiers in statistical learning. Ann. Statist., 32, 135-166.
    • (2004) Ann. Statist. , vol.32 , pp. 135-166
    • Tsybakov, A.B.1
  • 88
    • 0031316270 scopus 로고    scopus 로고
    • Granulometric smoothing
    • Walther, G. (1997). Granulometric smoothing. Ann. Statist., 25, 2273-2299.
    • (1997) Ann. Statist. , vol.25 , pp. 2273-2299
    • Walther, G.1
  • 89
    • 0346615742 scopus 로고    scopus 로고
    • On a generalization of Blaschke's Rolling Theorem and the smoothing of surfaces
    • Walther, G. (1999). On a generalization of Blaschke's Rolling Theorem and the smoothing of surfaces. Math. Methods Appl. Sci., 22, 301-316.
    • (1999) Math. Methods Appl. Sci. , vol.22 , pp. 301-316
    • Walther, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.