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Volumn 138, Issue 12, 2010, Pages 4497-4509

Asymptotic properties of the residual bootstrap for lasso estimators

Author keywords

Bootstrap; Consistency; Penalized regression; Random measure

Indexed keywords


EID: 78649892400     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-2010-10474-4     Document Type: Article
Times cited : (70)

References (13)
  • 2
    • 0004205082 scopus 로고
    • Robert E. Krieger Publishing Co., Inc., Melbourne, FL, Reprint of the 1976 original. MR0855460
    • R. N. Bhattacharya and R. Ranga Rao. Normal approximation and asymptotic expansions. Robert E. Krieger Publishing Co., Inc., Melbourne, FL, 1986. Reprint of the 1976 original. MR0855460
    • (1986) Normal Approximation and Asymptotic Expansions
    • Bhattacharya, R.N.1    Rao, R.R.2
  • 3
    • 0000130203 scopus 로고
    • Bootstrapping regression models
    • MR0630104
    • D. A. Freedman. Bootstrapping regression models. Ann. Statist., 9(6):1218-1228, 1981. MR0630104
    • (1981) Ann. Statist , vol.9 , Issue.6 , pp. 1218-1228
    • Freedman, D.A.1
  • 4
    • 0004212801 scopus 로고
    • Akademie-Verlag, Berlin, fourth edition, MR0854102
    • Olav Kallenberg. Random measures. Akademie-Verlag, Berlin, fourth edition, 1986. MR0854102
    • (1986) Random Measures
    • Kallenberg, O.1
  • 5
    • 0001315354 scopus 로고
    • Cube root asymptotics
    • MR1041391
    • JeanKyung Kim and David Pollard. Cube root asymptotics. Ann. Statist., 18(1):191-219, 1990. MR1041391
    • (1990) Ann. Statist. , vol.18 , Issue.1 , pp. 191-219
    • Kim, J.K.1    Pollard, D.2
  • 6
    • 0034287156 scopus 로고    scopus 로고
    • Asymptotics for lasso-type estimators
    • MR1805787
    • Keith Knight and Wenjiang Fu. Asymptotics for lasso-type estimators. Ann. Statist.,28(5):1356-1378, 2000. MR1805787
    • (2000) Ann. Statist. , vol.28 , Issue.5 , pp. 1356-1378
    • Knight, K.1    Fu, W.2
  • 7
    • 36148997227 scopus 로고    scopus 로고
    • Sparse estimators and the oracle property or the return of Hodges' estimator
    • MR2394290
    • Hannes Leeb and Benedikt M. Ptscher. Sparse estimators and the oracle property, or the return of Hodges' estimator. J. Econometrics, 142(1):201-211, 2008. MR2394290
    • (2008) J. Econometrics , vol.142 , Issue.1 , pp. 201-211
    • Leeb, H.1    Ptscher, B.M.2
  • 8
    • 68949197985 scopus 로고    scopus 로고
    • On the distribution of penalized maximum likelihood estimators: The LASSO SCAD and thresholding
    • MR2543087
    • Benedikt M. Pótscher and Hannes Leeb. On the distribution of penalized maximum likelihood estimators: the LASSO, SCAD, and thresholding. J. Multivariate Anal., 100(9):2065-2082, 2009. MR2543087
    • (2009) J. Multivariate Anal. , vol.100 , Issue.9 , pp. 2065-2082
    • Pótscher, B.M.1    Leeb, H.2
  • 9
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • MR1379242
    • Robert Tibshirani. Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. Ser. B, 58(1):267-288, 1996. MR1379242
    • (1996) J. Roy. Statist. Soc. Ser. B , vol.58 , Issue.1 , pp. 267-288
    • Tibshirani, R.1
  • 10
    • 0003679019 scopus 로고    scopus 로고
    • Weak convergence and empirical processes. With applications to statistics
    • Springer-Verlag, New York, MR1385671
    • Aad W. van der Vaart and Jon A. Wellner. Weak convergence and empirical processes.With applications to statistics. Springer Series in Statistics. Springer-Verlag, New York, 1996. MR1385671
    • (1996) Springer Series in Statistics
    • Van Der Vaart, A.W.1    Wellner, J.A.2
  • 12
    • 33845263263 scopus 로고    scopus 로고
    • On model selection consistency of Lasso
    • MR2274449
    • Peng Zhao and Bin Yu. On model selection consistency of Lasso. J. Mach. Learn. Res., 7:2541-2563, 2006. MR2274449
    • (2006) J. Mach. Learn. Res , vol.7 , pp. 2541-2563
    • Zhao, P.1    Yu, B.2
  • 13
    • 33846114377 scopus 로고    scopus 로고
    • The adaptive lasso and its oracle properties
    • MR2279469
    • Hui Zou. The adaptive lasso and its oracle properties. J. Amer. Statist. Assoc., 101(476):1418-1429, 2006. MR2279469
    • (2006) J. Amer. Statist. Assoc , vol.101 , Issue.476 , pp. 1418-1429
    • Zou, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.