메뉴 건너뛰기




Volumn 73, Issue 3, 2011, Pages 325-349

Penalized composite quasi-likelihood for ultrahigh dimensional variable selection

Author keywords

Composite quasi maximum likelihood estimation; Lasso; Model selection; Non polynomial dimensionality; Oracle property; Robust statistics; Smoothly clipped absolute deviation

Indexed keywords


EID: 79955022769     PISSN: 13697412     EISSN: 14679868     Source Type: Journal    
DOI: 10.1111/j.1467-9868.2010.00764.x     Document Type: Article
Times cited : (135)

References (32)
  • 1
    • 0000493352 scopus 로고
    • M-estimation of multivariate linear regression parameters under a convex discrepancy function
    • Bai, Z. D., Rao, C. R. and Wu, Y. (1992) M-estimation of multivariate linear regression parameters under a convex discrepancy function. Statist. Sin., 2, 237-254.
    • (1992) Statist. Sin. , vol.2 , pp. 237-254
    • Bai, Z.D.1    Rao, C.R.2    Wu, Y.3
  • 2
    • 0011094697 scopus 로고
    • On some analogues to linear combinations of order statistics in the linear model
    • Bickel, P. J. (1973) On some analogues to linear combinations of order statistics in the linear model. Ann. Statist., 1, 597-616.
    • (1973) Ann. Statist. , vol.1 , pp. 597-616
    • Bickel, P.J.1
  • 3
    • 79955009199 scopus 로고    scopus 로고
    • Hierarchical selection of variables in sparse high-dimensional regression
    • Bickel, P. J., Ritov, Y. and Tsybakov, A. B. (2008) Hierarchical selection of variables in sparse high-dimensional regression. Preprint arXiv:0801.1158v1.
    • (2008) Preprint arXiv:0801.1158v1
    • Bickel, P.J.1    Ritov, Y.2    Tsybakov, A.B.3
  • 4
    • 68649086910 scopus 로고    scopus 로고
    • Simultaneous analysis of lasso and dantzig selector
    • Bickel, P. J., Ritov, Y. and Tsybakov, A. B. (2009) Simultaneous analysis of lasso and dantzig selector. Ann. Statist., 37, 1705-1732.
    • (2009) Ann. Statist. , vol.37 , pp. 1705-1732
    • Bickel, P.J.1    Ritov, Y.2    Tsybakov, A.B.3
  • 7
    • 1542784498 scopus 로고    scopus 로고
    • Variable selection via nonconcave penalized likelihood and its oracle properties
    • Fan, J. and Li, R. (2001) Variable selection via nonconcave penalized likelihood and its oracle properties. J. Am. Statist. Ass., 96, 1348-1360.
    • (2001) J. Am. Statist. Ass. , vol.96 , pp. 1348-1360
    • Fan, J.1    Li, R.2
  • 8
    • 53849086824 scopus 로고    scopus 로고
    • Sure independence screening for ultrahigh dimensional feature space (with discussion)
    • Fan, J. and Lv, J. (2008) Sure independence screening for ultrahigh dimensional feature space (with discussion). J. R. Statist. Soc. B, 70, 849-911.
    • (2008) J. R. Statist. Soc. B , vol.70 , pp. 849-911
    • Fan, J.1    Lv, J.2
  • 9
    • 79955011461 scopus 로고    scopus 로고
    • Properties of non-concave penalized likelihood with NP-dimensionality. Submitted to Ann. Statist.
    • Fan, J. and Lv, J. (2010) Properties of non-concave penalized likelihood with NP-dimensionality. Submitted to Ann. Statist.
    • (2010)
    • Fan, J.1    Lv, J.2
  • 10
    • 24344502730 scopus 로고    scopus 로고
    • Nonconcave penalized likelihood with a diverging number of parameters
    • Fan, J. and Peng, H. (2004) Nonconcave penalized likelihood with a diverging number of parameters. Ann. Statist., 32, 928-961.
    • (2004) Ann. Statist. , vol.32 , pp. 928-961
    • Fan, J.1    Peng, H.2
  • 11
    • 70449440300 scopus 로고    scopus 로고
    • Ultrahigh dimensional variable selection: beyond the linear model
    • Fan, J., Samworth, R. and Wu, Y. (2009) Ultrahigh dimensional variable selection: beyond the linear model. J. Mach. Learn. Res., 10, 1829-1853.
    • (2009) J. Mach. Learn. Res. , vol.10 , pp. 1829-1853
    • Fan, J.1    Samworth, R.2    Wu, Y.3
  • 12
    • 78650168263 scopus 로고    scopus 로고
    • Sure independence screening in generalized linear models with NP-dimensionality
    • to be published.
    • Fan, J. and Song, R. (2010) Sure independence screening in generalized linear models with NP-dimensionality. Ann. Statist., to be published.
    • (2010) Ann. Statist.
    • Fan, J.1    Song, R.2
  • 13
    • 84952149204 scopus 로고
    • A Statistical view of some chemometrics regression tools
    • Frank, I. E. and Friedman, J. H. (1993) A Statistical view of some chemometrics regression tools. Technometrics, 35, 109-148.
    • (1993) Technometrics , vol.35 , pp. 109-148
    • Frank, I.E.1    Friedman, J.H.2
  • 15
    • 49949115667 scopus 로고    scopus 로고
    • Asymptotic properties of bridge estimators in sparse high-dimensional regression models
    • Huang, J., Horowitz, J. L. and Ma, S. (2008) Asymptotic properties of bridge estimators in sparse high-dimensional regression models. Ann. Statist., 36, 587-613.
    • (2008) Ann. Statist. , vol.36 , pp. 587-613
    • Huang, J.1    Horowitz, J.L.2    Ma, S.3
  • 16
    • 0003157339 scopus 로고
    • Robust estimation of location parameter
    • Huber, P. J. (1964) Robust estimation of location parameter. Ann. Math. Statist., 35, 73-101.
    • (1964) Ann. Math. Statist. , vol.35 , pp. 73-101
    • Huber, P.J.1
  • 17
    • 77949349770 scopus 로고    scopus 로고
    • Smoothly clipped absolute deviation on high dimensions
    • Kim, Y., Choi, H. and Oh, H. (2008) Smoothly clipped absolute deviation on high dimensions. J. Am. Statist. Ass., 103, 1656-1673.
    • (2008) J. Am. Statist. Ass. , vol.103 , pp. 1656-1673
    • Kim, Y.1    Choi, H.2    Oh, H.3
  • 18
    • 0042732485 scopus 로고
    • A note on L-estimates for linear models
    • Koenker, R. (1984) A note on L-estimates for linear models. Statist. Probab. Lett., 2, 323-325.
    • (1984) Statist. Probab. Lett. , vol.2 , pp. 323-325
    • Koenker, R.1
  • 21
    • 0000981525 scopus 로고
    • 2/n is large; I, Consistency
    • 2/n is large; I, Consistency. Ann. Statist., 12, 1298-1309.
    • (1984) Ann. Statist. , vol.12 , pp. 1298-1309
    • Portnoy, S.1
  • 22
    • 0000346421 scopus 로고
    • 2/n is large; II, Normal approximation
    • 2/n is large; II, Normal approximation. Ann. Statist., 13, 1403-1417.
    • (1985) Ann. Statist. , vol.13 , pp. 1403-1417
    • Portnoy, S.1
  • 23
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • Tibshirani, R. (1996) Regression shrinkage and selection via the lasso. J. R. Statist. Soc. B, 58, 267-288.
    • (1996) J. R. Statist. Soc. B , vol.58 , pp. 267-288
    • Tibshirani, R.1
  • 25
    • 68149091660 scopus 로고    scopus 로고
    • Variable selection in quantile regression
    • Wu, Y. and Liu, Y. (2009) Variable selection in quantile regression. Statist. Sin., 37, 801-817.
    • (2009) Statist. Sin. , vol.37 , pp. 801-817
    • Wu, Y.1    Liu, Y.2
  • 26
    • 65149104817 scopus 로고    scopus 로고
    • SCAD-penalized regression in high-dimensional partially linear models
    • Xie, H. and Huang, J. (2009) SCAD-penalized regression in high-dimensional partially linear models. Ann. Statist., 37, 673-696.
    • (2009) Ann. Statist. , vol.37 , pp. 673-696
    • Xie, H.1    Huang, J.2
  • 27
    • 33847364905 scopus 로고    scopus 로고
    • On the non-negative garrotte estimator
    • Yuan, M. and Lin, Y. (2007) On the non-negative garrotte estimator. J. R. Statist. Soc. B, 69, 143-161.
    • (2007) J. R. Statist. Soc. B , vol.69 , pp. 143-161
    • Yuan, M.1    Lin, Y.2
  • 28
    • 33845263263 scopus 로고    scopus 로고
    • On model selection consistency of Lasso
    • Zhao, P. and Yu, B. (2006) On model selection consistency of Lasso. J. Mach. Learn. Res., 7, 2541-2567.
    • (2006) J. Mach. Learn. Res. , vol.7 , pp. 2541-2567
    • Zhao, P.1    Yu, B.2
  • 29
    • 33846114377 scopus 로고    scopus 로고
    • The adaptive LASSO and its oracle properties
    • Zou, H. (2006) The adaptive LASSO and its oracle properties. J. Am. Statist. Ass., 101, 1418-1429.
    • (2006) J. Am. Statist. Ass. , vol.101 , pp. 1418-1429
    • Zou, H.1
  • 30
    • 51049104549 scopus 로고    scopus 로고
    • One-step sparse estimates in nonconcave penalized likelihood models
    • Zou, H. and Li, R. (2008) One-step sparse estimates in nonconcave penalized likelihood models. Ann. Statist., 36, 1509-1533.
    • (2008) Ann. Statist. , vol.36 , pp. 1509-1533
    • Zou, H.1    Li, R.2
  • 31
    • 51049119407 scopus 로고    scopus 로고
    • Composite quantile regression and the oracle model selection theory
    • Zou, H. and Yuan, M. (2008) Composite quantile regression and the oracle model selection theory. Ann. Statist., 36, 1108-1126.
    • (2008) Ann. Statist. , vol.36 , pp. 1108-1126
    • Zou, H.1    Yuan, M.2
  • 32
    • 62549126570 scopus 로고    scopus 로고
    • On the adaptive elastic-net with a diverging number of parameters
    • Zou, H. and Zhang, H. H. (2009) On the adaptive elastic-net with a diverging number of parameters. Ann. Statist., 37, 1733-1751.
    • (2009) Ann. Statist. , vol.37 , pp. 1733-1751
    • Zou, H.1    Zhang, H.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.