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Volumn 4, Issue , 2010, Pages 334-360

Confidence sets based on penalized maximum likelihood estimators in gaussian regression

Author keywords

Adaptive Lasso; Confidence set; Coverage probability; Hard thresholding; Lasso; Model selection; Penalized least squares; Penalized maximum likelihood; Soft thresholding; Sparsity

Indexed keywords


EID: 79957601224     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-EJS523     Document Type: Article
Times cited : (40)

References (11)
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  • 2
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    • A Statistical View of Some Chemometrics Regression Tools (With discussion)
    • Frank, I. E. And Friedman, J. H. (1993). A Statistical View of Some Chemometrics Regression Tools (with discussion). Technometrics 35 109–148.
    • (1993) Technometrics , vol.35 , pp. 109-148
    • Frank, I.E.1    Friedman, J.H.2
  • 3
    • 0040956129 scopus 로고
    • Admissibility of the usual confidence sets for the mean of a univariate or bivariate normal population
    • Joshi, V. M. (1969). Admissibility of the usual confidence sets for the mean of a univariate or bivariate normal population. Annals of Mathematical Statistics 40 1042–1067.
    • (1969) Annals of Mathematical Statistics , vol.40 , pp. 1042-1067
    • Joshi, V.M.1
  • 4
    • 42549169438 scopus 로고    scopus 로고
    • A lemma on stochastic majorization and properties of the Student distribution
    • Kagan, A. And Nagaev, A. V. (2008). A lemma on stochastic majorization and properties of the Student distribution. Theory of Probability and its Applications 52 160–164.
    • (2008) Theory of Probability and Its Applications , vol.52 , pp. 160-164
    • Kagan, A.1    Nagaev, A.V.2
  • 5
    • 0034287156 scopus 로고    scopus 로고
    • Asymptotics of Lasso-Type Estimators
    • Knight, K. And Fu, W. (2000). Asymptotics of Lasso-Type Estimators. Annals of Statistics 28 1356–1378.
    • (2000) Annals of Statistics , vol.28 , pp. 1356-1378
    • Knight, K.1    Fu, W.2
  • 6
    • 36148997227 scopus 로고    scopus 로고
    • Sparse Estimators and the Oracle Property, or the Return of Hodges’ Estimator
    • Leeb, H. And Pötscher, B. M. (2008). Sparse Estimators and the Oracle Property, or the Return of Hodges’ Estimator. Journal of Econometrics 142 201–211.
    • (2008) Journal of Econometrics , vol.142 , pp. 201-211
    • Leeb, H.1    Pötscher, B.M.2
  • 7
    • 74949103169 scopus 로고    scopus 로고
    • Confidence Sets Based on Sparse Estimators Are Necessarily Large
    • Pötscher, B. M. (2009). Confidence Sets Based on Sparse Estimators Are Necessarily Large. Sankya 71-A 1–18.
    • (2009) Sankya , vol.71-A , pp. 1-18
    • Pötscher, B.M.1
  • 8
    • 68949197985 scopus 로고    scopus 로고
    • On the Distribution of Penalized Maximum Likelihood Estimators: The LASSO, SCAD, and Thresholding
    • Pötscher, B. M. And Leeb, H. (2009). On the Distribution of Penalized Maximum Likelihood Estimators: The LASSO, SCAD, and Thresholding. Journal of Multivariate Analysis 100 2065–2082.
    • (2009) Journal of Multivariate Analysis , vol.100 , pp. 2065-2082
    • Pötscher, B.M.1    Leeb, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.