메뉴 건너뛰기




Volumn 37, Issue 5 B, 2009, Pages 2597-2625

Nonparametric regression, confidence regions and regularization

Author keywords

Confidence bands; Confidence region; Nonparametric regression; Shape regularization; Smoothness regularization

Indexed keywords


EID: 69049098949     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/07-AOS575     Document Type: Article
Times cited : (26)

References (25)
  • 1
    • 24344434625 scopus 로고    scopus 로고
    • Confidence balls in Gaussian regression
    • MR2060168
    • Baraud, Y. (2004). Confidence balls in Gaussian regression. Ann. Statist. 32 528-551. MR2060168
    • (2004) Ann. Statist , vol.32 , pp. 528-551
    • Baraud, Y.1
  • 3
    • 33644903538 scopus 로고    scopus 로고
    • Adaptive confidence balls
    • MR2275240
    • Cai, T.T. and Low, M. G. (2006). Adaptive confidence balls. Ann. Statist. 34 202-228. MR2275240
    • (2006) Ann. Statist , vol.34 , pp. 202-228
    • Cai, T.T.1    Low, M.G.2
  • 4
    • 84983993025 scopus 로고
    • Data features
    • MR1345378
    • Davies, P. L. (1995). Data features. Statist. Neerlandica 49 185-245. MR1345378
    • (1995) Statist. Neerlandica , vol.49 , pp. 185-245
    • Davies, P.L.1
  • 5
    • 0035608644 scopus 로고    scopus 로고
    • Local extremes, runs, strings and multiresolution (with discussion)
    • MR1833958
    • Davies, P.L. and Kovac, A. (2001). Local extremes, runs, strings and multiresolution (with discussion). Ann. Statist. 29 1-65. MR1833958
    • (2001) Ann. Statist , vol.29 , pp. 1-65
    • Davies, P.L.1    Kovac, A.2
  • 6
    • 45849088418 scopus 로고    scopus 로고
    • Approximating data with weighted smoothing splines
    • MR2421766
    • Davies, P.L.andMeise, M. (2008). Approximating data with weighted smoothing splines. J. Non- parametr. Stat. 20 207-228. MR2421766
    • (2008) J. Non- Parametr. Stat , vol.20 , pp. 207-228
    • Davies, P.L.1    Meise, M.2
  • 7
    • 0041958932 scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • MR1311089
    • Donoho, D.L. and Johnstone, I. M. (1994). Ideal spatial adaptation by wavelet shrinkage. Biometrika 81 425-1155 MR1311089
    • (1994) Biometrika , vol.81 , pp. 425-1155
    • Donoho, D.L.1    Johnstone, I.M.2
  • 8
    • 0040040083 scopus 로고    scopus 로고
    • New goodness-of-fit tests and their application to nonparametric confidence sets
    • MR1611768
    • Dumbgen, L. (1998). New goodness-of-fit tests and their application to nonparametric confidence sets. Ann. Statist. 26 288-314. MR1611768
    • (1998) Ann. Statist , vol.26 , pp. 288-314
    • Dumbgen, L.1
  • 9
    • 3042530624 scopus 로고    scopus 로고
    • Optimal confidence bands for shape-restricted curves
    • MR1997491
    • Dumbgen, L. (2003). Optimal confidence bands for shape-restricted curves. Bernoulli 9 423-449. MR1997491
    • (2003) Bernoulli , vol.9 , pp. 423-449
    • Dumbgen, L.1
  • 10
    • 47749105939 scopus 로고    scopus 로고
    • Confidence bands for convex median curves using sign-tests. in Asymptotics: Particles, Processes and Inverse Problems (E. Cator, G. Jongbloed, C. Kraaikamp, R. Lopuhaä and J. Wellner, eds
    • IMS, Hayward, USA. MR2459932
    • Dümbgen, L. (2007). Confidence bands for convex median curves using sign-tests. In Asymptotics: Particles, Processes and Inverse Problems (E. Cator, G. Jongbloed, C. Kraaikamp, R. Lopuhaä and J. Wellner, eds.). IMS Lecture Notes - Monograph Series 55 85-100. IMS, Hayward, USA. MR2459932
    • (2007) IMS Lecture Notes - Monograph Series , vol.55 , pp. 85-100
    • Dümbgen, L.1
  • 11
    • 3042572506 scopus 로고    scopus 로고
    • Confidence bands for isotonic median curves using sign-tests
    • MR2063998
    • Dümbgen, L. and Johns, R. (2004). Confidence bands for isotonic median curves using sign-tests. J. Comput. Graph. Statist. 13 519-533. MR2063998
    • (2004) J. Comput. Graph. Statist , vol.13 , pp. 519-533
    • Dümbgen, L.1    Johns, R.2
  • 12
    • 0035592604 scopus 로고    scopus 로고
    • Multiscale testing of qualitative hypotheses
    • MR1833961
    • Dümbgen, L. and Spokoiny, V. G. (2001). Multiscale testing of qualitative hypotheses. Ann. Statist. 29 124-152. MR1833961
    • (2001) Ann. Statist , vol.29 , pp. 124-152
    • Dümbgen, L.1    Spokoiny, V.G.2
  • 16
    • 0036278271 scopus 로고    scopus 로고
    • Random rates in anisotropic regression
    • MR1902892
    • Hoffmann, M.andLepski, O. (2002). Random rates in anisotropic regression. Ann. Statist. 30 325-396. MR1902892
    • (2002) Ann. Statist , vol.30 , pp. 325-396
    • Hoffmann, M.1    Lepski, O.2
  • 17
    • 45849110727 scopus 로고    scopus 로고
    • Exact convergence rate for the maximum of standardized Gaussian increments
    • MR2415138
    • Kabluchko, Z. and Munk, A. (2008). Exact convergence rate for the maximum of standardized Gaussian increments. Electron. Commun. Probab. 13 302-310. MR2415138
    • (2008) Electron. Commun. Probab , vol.13 , pp. 302-310
    • Kabluchko, Z.1    Munk, A.2
  • 19
    • 0040276000 scopus 로고
    • Honset confidence regions for nonparametric regression
    • MR1015135
    • Li, K.-C. (1989). Honset confidence regions for nonparametric regression. Ann. Statist. 17 1001-1008. MR1015135
    • (1989) Ann. Statist , vol.17 , pp. 1001-1008
    • Li, K.-C.1
  • 20
    • 0000899362 scopus 로고
    • Nonparametric regression under qualitative smoothness assumptions
    • MR1105842
    • Mammen, E. (1991). Nonparametric regression under qualitative smoothness assumptions. Ann. Statist. 19 741-759. MR1105842
    • (1991) Ann. Statist , vol.19 , pp. 741-759
    • Mammen, E.1
  • 21
    • 52249091345 scopus 로고    scopus 로고
    • A geometric interpretation of the multiresolution criterion
    • MR2454614
    • Mildenberger, T. (2008). A geometric interpretation of the multiresolution criterion. J. Nonpara- metr. Stat. 20 599-609. MR2454614
    • (2008) J. Nonparametr. Stat , vol.20 , pp. 599-609
    • Mildenberger, T.1
  • 22
    • 33744826821 scopus 로고    scopus 로고
    • Adaptive nonparametric confidence sets
    • MR2275241
    • Robins, J. and van der Vaart, A. (2006). Adaptive nonparametric confidence sets. Ann. Statist. 34 229-253. MR2275241
    • (2006) Ann. Statist , vol.34 , pp. 229-253
    • Robins, J.1    Van Der Vaart, A.2
  • 25
    • 0001762426 scopus 로고
    • Smooth regression analysis
    • MR0184336
    • Watson, G. S. (1964). Smooth regression analysis. Sankhyā26 101-116. MR0184336
    • (1964) Sankhyā , vol.26 , pp. 101-116
    • Watson, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.