메뉴 건너뛰기




Volumn 3, Issue , 2009, Pages 747-780

Quantifying the cost of simultaneous non-parametric approximation of several samples

Author keywords

Modality; Non parametric regression; Penalization; Regularization; Total variation

Indexed keywords


EID: 80455141093     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/08-EJS298     Document Type: Article
Times cited : (2)

References (37)
  • 1
    • 84968476146 scopus 로고
    • The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities
    • Anderson, T. W. (1955). The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Proceedings of the American Mathematical Society, 6(2):170-176.
    • (1955) Proceedings of the American Mathematical Society , vol.6 , Issue.2 , pp. 170-176
    • Anderson, T.W.1
  • 4
    • 85035247336 scopus 로고    scopus 로고
    • Universal principles, approximation and model choice
    • European Meeting of Statisticians, Oslo
    • Davies, P. L. (2005). Universal principles, approximation and model choice. Invited talk, European Meeting of Statisticians, Oslo.
    • (2005) Invited Talk
    • Davies, P.L.1
  • 6
  • 9
    • 0035608644 scopus 로고    scopus 로고
    • Local extremes, runs, strings and multiresolution (With discussion)
    • Davies, P. L. and Kovac, A. (2001). Local extremes, runs, strings and multiresolution (with discussion). Annals of Statistics, 29(1):1-65.
    • (2001) Annals of Statistics , vol.29 , Issue.1 , pp. 1-65
    • Davies, P.L.1    Kovac, A.2
  • 10
    • 69049098949 scopus 로고    scopus 로고
    • Nonparametric regression, confidence regions and regularization
    • To appear
    • Davies, P. L., Kovac, A., and Meise, M. (2009). Nonparametric regression, confidence regions and regularization. Annals of Statistics. To appear.
    • (2009) Annals of Statistics
    • Davies, P.L.1    Kovac, A.2    Meise, M.3
  • 11
    • 38249001333 scopus 로고
    • Testing the equality of nonparametric regression curves
    • Delgado, M. A. (1992). Testing the equality of nonparametric regression curves. Statistics and Probability Letters, 17:199-204.
    • (1992) Statistics and Probability Letters , vol.17 , pp. 199-204
    • Delgado, M.A.1
  • 12
    • 0035470901 scopus 로고    scopus 로고
    • Nonparametric analysis of covariance
    • Dette, H. and Neumeyer, N. (2001). Nonparametric analysis of covariance. Annals of Statistics, 29:1361-1400.
    • (2001) Annals of Statistics , vol.29 , pp. 1361-1400
    • Dette, H.1    Neumeyer, N.2
  • 13
    • 0000467783 scopus 로고
    • One-sided inference about functionals of a density
    • Donoho, D. L. (1988). One-sided inference about functionals of a density. Annals of Statistics, 16:1390-1420.
    • (1988) Annals of Statistics , vol.16 , pp. 1390-1420
    • Donoho, D.L.1
  • 14
    • 0040040083 scopus 로고    scopus 로고
    • New goodness-of-fit tests and their application to nonparametric confidence sets
    • Dümbgen, L. (1998). New goodness-of-fit tests and their application to nonparametric confidence sets. Annals of Statistics, 26:288-314.
    • (1998) Annals of Statistics , vol.26 , pp. 288-314
    • Dümbgen, L.1
  • 15
    • 3042530624 scopus 로고    scopus 로고
    • Optimal confidence bands for shape-restricted curves
    • Dümbgen, L. (2003). Optimal confidence bands for shape-restricted curves. Bernoulli, 9(3):423-449.
    • (2003) Bernoulli , vol.9 , Issue.3 , pp. 423-449
    • Dümbgen, L.1
  • 17
    • 47749105939 scopus 로고    scopus 로고
    • Confidence bands for convex median curves using signtests
    • Cator, E., Jongbloed, G., Kraaikamp, C., Lopuhaä, R., and Wellner, J., editors, of IMS Lecture Notes - Monograph Series 55, IMS, Hayward, USA
    • Dümbgen, L. (2007). Confidence bands for convex median curves using signtests. In Cator, E., Jongbloed, G., Kraaikamp, C., Lopuhaä, R., and Wellner, J., editors, Asymptotics: Particles, Processes and Inverse Problems, volume 55 of IMS Lecture Notes - Monograph Series 55, pages 85-100. IMS, Hayward, USA.
    • (2007) Asymptotics: Particles, Processes and Inverse Problems , vol.55 , pp. 85-100
    • Dümbgen, L.1
  • 18
    • 3042572506 scopus 로고    scopus 로고
    • Confidence bands for isotonic median curves using sign-tests
    • Dümbgen, L. and Johns, R. (2004). Confidence bands for isotonic median curves using sign-tests. J. Comput. Graph. Statist., 13(2):519-533.
    • (2004) J. Comput. Graph. Statist , vol.13 , Issue.2 , pp. 519-533
    • Dümbgen, L.1    Johns, R.2
  • 20
    • 0035592604 scopus 로고    scopus 로고
    • Multiscale testing of qualitative hypotheses
    • Dümbgen, L. and Spokoiny, V. G. (2001). Multiscale testing of qualitative hypotheses. Annals of Statistics, 29(1):124-152.
    • (2001) Annals of Statistics , vol.29 , Issue.1 , pp. 124-152
    • Dümbgen, L.1    Spokoiny, V.G.2
  • 22
    • 3242755608 scopus 로고
    • Bootstrap test for difference between means in nonparametric regression
    • Hall, P. and Hart, D. H. (1990). Bootstrap test for difference between means in nonparametric regression. Journal of the American Statistical Association, 85(412):1039-1049.
    • (1990) Journal of the American Statistical Association , vol.85 , Issue.412 , pp. 1039-1049
    • Hall, P.1    Hart, D.H.2
  • 24
    • 0001864592 scopus 로고
    • Semiparametric comparison of regression curves
    • Härdle, W. and Marron, J. S. (1990). Semiparametric comparison of regression curves. Annals of Statistics, 18(1):63-89.
    • (1990) Annals of Statistics , vol.18 , Issue.1 , pp. 63-89
    • Härdle, W.1    Marron, J.S.2
  • 28
    • 0000839856 scopus 로고
    • Testing the equality of two regression curves using linear smoothers
    • King, E., Hart, J. D., and Wehrly, T. E. (1990). Testing the equality of two regression curves using linear smoothers. Statistics and Probability Letters, 12:239-247.
    • (1990) Statistics and Probability Letters , vol.12 , pp. 239-247
    • King, E.1    Hart, J.D.2    Wehrly, T.E.3
  • 29
  • 30
    • 0031496493 scopus 로고    scopus 로고
    • Smoothing parameter selection for power optimality in testing of regression curves
    • Kulasekera, K. B. and Wang, J. (1997). Smoothing parameter selection for power optimality in testing of regression curves. Journal of the American Statistical Association, 92(438):500-511.
    • (1997) Journal of the American Statistical Association , vol.92 , Issue.438 , pp. 500-511
    • Kulasekera, K.B.1    Wang, J.2
  • 31
    • 0347573331 scopus 로고    scopus 로고
    • An equality test across nonparametric regressions
    • Lavergne, P. (2001). An equality test across nonparametric regressions. Journal of Econometrics, 103:307-344.
    • (2001) Journal of Econometrics , vol.103 , pp. 307-344
    • Lavergne, P.1
  • 33
    • 0040276000 scopus 로고
    • Honset confidence regions for nonparametric regression
    • Li, K.-C. (1989). Honset confidence regions for nonparametric regression. Annals of Satistics, 17:1001-1008.
    • (1989) Annals of Satistics , vol.17 , pp. 1001-1008
    • Li, K.-C.1
  • 34
    • 0032235630 scopus 로고    scopus 로고
    • Nonparametric comparison of several regression functions: Exact and asymptotic theory
    • Munk, A. and Dette, H. (1998). Nonparametric comparison of several regression functions: Exact and asymptotic theory. Annals of Statistics, 26(6):2339-2368.
    • (1998) Annals of Statistics , vol.26 , Issue.6 , pp. 2339-2368
    • Munk, A.1    Dette, H.2
  • 35
    • 0041309830 scopus 로고    scopus 로고
    • Nonparametric comparison of regression curves - an empirical process approach
    • Neumeyer, N. and Dette, H. (2003). Nonparametric comparison of regression curves - an empirical process approach. Annals of Statistics, 31:880-920.
    • (2003) Annals of Statistics , vol.31 , pp. 880-920
    • Neumeyer, N.1    Dette, H.2
  • 36
    • 36148997227 scopus 로고    scopus 로고
    • Sparse estimators and the oracle property, or the return of Hodges
    • Pötscher, B. M. and Leeb, H. (2008). Sparse estimators and the oracle property, or the return of Hodges. Journal of Econometrics, 142:201-211.
    • (2008) Journal of Econometrics , vol.142 , pp. 201-211
    • Pötscher, B.M.1    Leeb, H.2
  • 37
    • 0041612705 scopus 로고
    • Issues relevant to an honest account of data-based inference
    • partially in, Princeton University, Princeton
    • Tukey, J. W. (1993). Issues relevant to an honest account of data-based inference, partially in the light of Laurie Davies’s paper. Princeton University, Princeton.
    • (1993) The Light of Laurie Davies’s Paper
    • Tukey, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.