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Volumn 94, Issue 2, 2005, Pages 227-249

Estimation of regression contour clusters - An application of the excess mass approach to regression

Author keywords

Asymptotic normality; Bracketing numbers; Consistency; Empirical processes; Excess mass; Regression contour cluster

Indexed keywords


EID: 18644381620     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmva.2004.05.001     Document Type: Article
Times cited : (19)

References (31)
  • 1
    • 0000364894 scopus 로고
    • The central limit theorem for stochastic process
    • N.T. Andersen V. Dobrić The central limit theorem for stochastic process Ann. Probab. 15 1987 164-177
    • (1987) Ann. Probab. , vol.15 , pp. 164-177
    • Andersen, N.T.1    Dobrić, V.2
  • 2
    • 0012484911 scopus 로고    scopus 로고
    • On consistency of the best-r-points-average estimator for the maximizer of a nonparametric regression function
    • Z.D. Bai LO.M. Huang On consistency of the best-r-points-average estimator for the maximizer of a nonparametric regression function Indian J. Statist. 61A 2 1999 208-217
    • (1999) Indian J. Statist. , vol.61 A , Issue.2 , pp. 208-217
    • Bai, Z.D.1    Huang, L.O.M.2
  • 3
    • 0001917707 scopus 로고
    • Examples of scientific problems and data analyses in demography, neurophysiology and seismology
    • R.D. Brillinger Examples of scientific problems and data analyses in demography, neurophysiology and seismology J. Comput. Graph. Statist. 3 1994 1-22
    • (1994) J. Comput. Graph. Statist. , vol.3 , pp. 1-22
    • Brillinger, R.D.1
  • 4
    • 0031502338 scopus 로고    scopus 로고
    • Nonparametric estimation of regression level sets
    • L. Cavalier Nonparametric estimation of regression level sets Statistics 29 1997 131-160
    • (1997) Statistics , vol.29 , pp. 131-160
    • Cavalier, L.1
  • 5
    • 18644382238 scopus 로고    scopus 로고
    • Discrimination of locally stationary time series based on the excess mass functional
    • unpublished manuscript
    • G. Chandler, W. Polonik, Discrimination of locally stationary time series based on the excess mass functional (2004), unpublished manuscript.
    • (2004)
    • Chandler, G.1    Polonik, W.2
  • 6
    • 0032528708 scopus 로고    scopus 로고
    • On mode testing and empirical approximato distributions
    • M.-Y. Cheng P. Hall On mode testing and empirical approximato distributions Statist. Probab. Lett. 39 1998 245-254
    • (1998) Statist. Probab. Lett. , vol.39 , pp. 245-254
    • Cheng, M.-Y.1    Hall, P.2
  • 7
    • 0000239820 scopus 로고    scopus 로고
    • Calibrating the excess mass and dip tests of modality
    • M.-Y. Cheng P. Hall Calibrating the excess mass and dip tests of modality J. Roy. Statist. Soc. Ser. B 60 1998 579-589
    • (1998) J. Roy. Statist. Soc. Ser. B , vol.60 , pp. 579-589
    • Cheng, M.-Y.1    Hall, P.2
  • 8
    • 0033236908 scopus 로고    scopus 로고
    • Mode testing in difficult cases
    • M.-Y. Cheng P. Hall Mode testing in difficult cases Ann. Statist. 27 1999 1294-1315
    • (1999) Ann. Statist. , vol.27 , pp. 1294-1315
    • Cheng, M.-Y.1    Hall, P.2
  • 9
    • 21844527396 scopus 로고
    • A new general method for constructing confidence sets in arbitrary dimensions: With applications
    • A. Dasgupta J.K. Ghosh M.M. Zen A new general method for constructing confidence sets in arbitrary dimensions: With applications Ann. Statist. 23 1995 1408-1432
    • (1995) Ann. Statist. , vol.23 , pp. 1408-1432
    • Dasgupta, A.1    Ghosh, J.K.2    Zen, M.M.3
  • 10
    • 0000085854 scopus 로고
    • Lecture Notes in Mathematics Springer New York
    • R.M. Dudley A Course on Empirical Processes Lecture Notes in Mathematics Vol. 1097 1984 Springer New York 1-142
    • (1984) A Course on Empirical Processes , vol.1097 , pp. 1-142
    • Dudley, R.M.1
  • 13
    • 0007425929 scopus 로고    scopus 로고
    • Bump hunting in high-dimensional data
    • J.H. Friedman N.I. Fisher Bump hunting in high-dimensional data Statist. Comput. 9 1999 123-143
    • (1999) Statist. Comput. , vol.9 , pp. 123-143
    • Friedman, J.H.1    Fisher, N.I.2
  • 15
    • 18644369281 scopus 로고    scopus 로고
    • Nonparametric Bayesian estimation of level sets
    • Preprint-CREST
    • G. Gayraud, J. Rousseau, Nonparametric Bayesian estimation of level sets, Preprint-CREST, 2002, http://www.crest.fr/doctravail/document/2002-03.pdf.
    • (2002)
    • Gayraud, G.1    Rousseau, J.2
  • 16
    • 0001341972 scopus 로고
    • Estimation of a convex density contour in two dimentions
    • J.A. Hartigan Estimation of a convex density contour in two dimentions J. Amer. Statist. Assoc. 82 1987 267-270
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 267-270
    • Hartigan, J.A.1
  • 17
    • 18644362269 scopus 로고    scopus 로고
    • Visualization of multivariate density estimates with level set trees
    • manuscript
    • J. Klemelä, Visualization of multivariate density estimates with level set trees, manuscript, 2000, http://www.statlab.uni-heidelberg.de/ people/klemela/.
    • (2000)
    • Klemelä, J.1
  • 18
    • 0346961497 scopus 로고    scopus 로고
    • Complexity penalized support estimation
    • J. Klemelä Complexity penalized support estimation J. Multivariate Anal. 88 2004 274-297
    • (2004) J. Multivariate Anal. , vol.88 , pp. 274-297
    • Klemelä, J.1
  • 19
    • 0000371878 scopus 로고
    • Excess mass estimates and tests for multimodality
    • D.W. Müller G. Sawitzki Excess mass estimates and tests for multimodality J. Amer. Statist. Assoc. 86 1991 738-746
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 738-746
    • Müller, D.W.1    Sawitzki, G.2
  • 20
    • 0000168084 scopus 로고
    • Adaptive nonparametric peak estimation
    • H.G. Müller Adaptive nonparametric peak estimation Ann. Statist. 17 1989 1053-1069
    • (1989) Ann. Statist. , vol.17 , pp. 1053-1069
    • Müller, H.G.1
  • 21
    • 0001642186 scopus 로고
    • The excess-mass ellipsoid
    • D. Nolan The excess-mass ellipsoid J. Multivariate Anal. 39 1991 348-371
    • (1991) J. Multivariate Anal. , vol.39 , pp. 348-371
    • Nolan, D.1
  • 23
    • 0001030653 scopus 로고
    • Measuring mass concentrations and estimating density contour clusters - An excess mass approach
    • W. Polonik Measuring mass concentrations and estimating density contour clusters - an excess mass approach Ann. Statist. 23 1995 855-881
    • (1995) Ann. Statist. , vol.23 , pp. 855-881
    • Polonik, W.1
  • 24
    • 0032272797 scopus 로고    scopus 로고
    • The silhouette, concentration functions and ML-density estimation under order restrictions
    • W. Polonik The silhouette, concentration functions and ML-density estimation under order restrictions Ann. Statist. 26 1998 1857-1877
    • (1998) Ann. Statist. , vol.26 , pp. 1857-1877
    • Polonik, W.1
  • 25
    • 1542742383 scopus 로고    scopus 로고
    • Conditional minimum volume prediction regions for stochastic processes
    • W. Polonik Q. Yao Conditional minimum volume prediction regions for stochastic processes J. Amer. Statist. Assoc. 95 2000 509-515
    • (2000) J. Amer. Statist. Assoc. , vol.95 , pp. 509-515
    • Polonik, W.1    Yao, Q.2
  • 27
    • 0002564033 scopus 로고
    • Multivariate estimation with high breakdown point
    • W. Grossmann (Ed.) Reidel Dordrecht
    • P.J. Rousseeuw Multivariate estimation with high breakdown point in: W. Grossmann (Ed.) Mathematical Statistics and Applications 1986 Reidel Dordrecht 283-297
    • (1986) Mathematical Statistics and Applications , pp. 283-297
    • Rousseeuw, P.J.1
  • 28
    • 0031520116 scopus 로고    scopus 로고
    • Nonparametric model checks for regression
    • W. Stute Nonparametric model checks for regression Ann. Statist. 25 1997 613-641
    • (1997) Ann. Statist. , vol.25 , pp. 613-641
    • Stute, W.1
  • 29
    • 3142725508 scopus 로고    scopus 로고
    • Optimal aggregation of classifiers in statistical learning
    • A.A. Tsybakov Optimal aggregation of classifiers in statistical learning Ann. Statist. 32 2004 135-166
    • (2004) Ann. Statist. , vol.32 , pp. 135-166
    • Tsybakov, A.A.1
  • 31
    • 0031316270 scopus 로고    scopus 로고
    • Granulometric smoothing
    • G. Walther Granulometric smoothing Ann. Statist. 25 1997 2273-2299
    • (1997) Ann. Statist. , vol.25 , pp. 2273-2299
    • Walther, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.