메뉴 건너뛰기




Volumn 44, Issue 3, 2016, Pages 907-927

Exact post-selection inference, with application to the lasso

Author keywords

Confidence interval; Hypothesis test; Lasso; Model selection

Indexed keywords


EID: 84963614704     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/15-AOS1371     Document Type: Article
Times cited : (705)

References (32)
  • 2
    • 14944365889 scopus 로고    scopus 로고
    • False discovery rate-adjusted multiple confidence intervals for selected parameters
    • MR2156820
    • BENJAMINI, Y. and YEKUTIELI, D. (2005). False discovery rate-adjusted multiple confidence intervals for selected parameters. J. Amer. Statist. Assoc. 100 71-93. MR2156820
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 71-93
    • Benjamini, Y.1    Yekutieli, D.2
  • 4
    • 0016812218 scopus 로고
    • A note on data-splitting for the evaluation of significance levels
    • MR0378189
    • COX, D. R. (1975). A note on data-splitting for the evaluation of significance levels. Biometrika 62 441-444. MR0378189
    • (1975) Biometrika , vol.62 , pp. 441-444
    • Cox, D.R.1
  • 6
    • 0039331974 scopus 로고
    • On a test of significance in Pearson's Biometrika Tables (No. 11)
    • MR0082773
    • FISHER, R. (1956). On a test of significance in Pearson's Biometrika Tables (No. 11). J. Roy. Statist. Soc. Ser. B. 18 56-60. MR0082773
    • (1956) J. Roy. Statist. Soc. Ser. B. , vol.18 , pp. 56-60
    • Fisher, R.1
  • 9
    • 0034287156 scopus 로고    scopus 로고
    • Asymptotics for lasso-type estimators
    • MR1805787
    • KNIGHT, K. and FU, W. (2000). Asymptotics for lasso-type estimators. Ann. Statist. 28 1356-1378. MR1805787
    • (2000) Ann. Statist. , vol.28 , pp. 1356-1378
    • Knight, K.1    Fu, W.2
  • 10
    • 15744376883 scopus 로고    scopus 로고
    • Model selection and inference: Facts and fiction
    • MR2153856
    • LEEB, H. and PÖTSCHER, B. M. (2005). Model selection and inference: Facts and fiction. Econometric Theory 21 21-59. MR2153856
    • (2005) Econometric Theory , vol.21 , pp. 21-59
    • Leeb, H.1    Pötscher, B.M.2
  • 11
    • 33847415033 scopus 로고    scopus 로고
    • Can one estimate the conditional distribution of postmodel-selection estimators?
    • MR2291510
    • LEEB, H. and PÖTSCHER, B. M. (2006). Can one estimate the conditional distribution of postmodel-selection estimators? Ann. Statist. 34 2554-2591. MR2291510
    • (2006) Ann. Statist. , vol.34 , pp. 2554-2591
    • Leeb, H.1    Pötscher, B.M.2
  • 13
    • 84901725294 scopus 로고    scopus 로고
    • A significance test for the lasso (with discussion)
    • MR3210970
    • LOCKHART, R., TAYLOR, J., TIBSHIRANI, R. and TIBSHIRANI, R. (2014). A significance test for the lasso (with discussion). Ann. Statist. 42 413-468. MR3210970
    • (2014) Ann. Statist. , vol.42 , pp. 413-468
    • Lockhart, R.1    Taylor, J.2    Tibshirani, R.3    Tibshirani, R.4
  • 14
    • 0003971926 scopus 로고    scopus 로고
    • 2nd ed. Chapman & Hall/CRC, Boca Raton, FL. MR2001193
    • MILLER, A. (2002). Subset Selection in Regression, 2nd ed. Chapman & Hall/CRC, Boca Raton, FL. MR2001193
    • (2002) Subset Selection in Regression
    • Miller, A.1
  • 15
    • 84871600478 scopus 로고    scopus 로고
    • A unified framework for high-dimensional analysis of M-estimators with decomposable regularizers
    • MR3025133
    • NEGAHBAN, S. N., RAVIKUMAR, P., WAINWRIGHT, M. J. and YU, B. (2012). A unified framework for high-dimensional analysis of M-estimators with decomposable regularizers. Statist. Sci. 27 538-557. MR3025133
    • (2012) Statist. Sci. , vol.27 , pp. 538-557
    • Negahban, S.N.1    Ravikumar, P.2    Wainwright, M.J.3    Yu, B.4
  • 16
    • 84971851120 scopus 로고
    • Effects of model selection on inference
    • MR1128410
    • PÖTSCHER, B. M. (1991). Effects of model selection on inference. Econometric Theory 7 163-185. MR1128410
    • (1991) Econometric Theory , vol.7 , pp. 163-185
    • Pötscher, B.M.1
  • 17
    • 79957601224 scopus 로고    scopus 로고
    • Confidence sets based on penalized maximum likelihood estimators in Gaussian regression
    • MR2645488
    • PÖTSCHER, B.M. and SCHNEIDER, U. (2010). Confidence sets based on penalized maximum likelihood estimators in Gaussian regression. Electron. J. Stat. 4 334-360. MR2645488
    • (2010) Electron. J. Stat. , vol.4 , pp. 334-360
    • Pötscher, B.M.1    Schneider, U.2
  • 18
    • 0000424213 scopus 로고
    • Conditional properties of statistical procedures
    • MR0532239
    • ROBINSON, G. K. (1979). Conditional properties of statistical procedures. Ann. Statist. 7 742-755. MR0532239
    • (1979) Ann. Statist. , vol.7 , pp. 742-755
    • Robinson, G.K.1
  • 19
    • 22144453601 scopus 로고    scopus 로고
    • Drop-the-losers design: Normal case
    • MR2145117
    • SAMPSON, A. R. and SILL, M. W. (2005). Drop-the-losers design: Normal case. Biom. J. 47 257-268. MR2145117
    • (2005) Biom. J. , vol.47 , pp. 257-268
    • Sampson, A.R.1    Sill, M.W.2
  • 20
    • 56349171608 scopus 로고    scopus 로고
    • Drop-the-losers design: Binomial case
    • MR2654594
    • SILL, M. W. and SAMPSON, A. R. (2009). Drop-the-losers design: Binomial case. Comput. Statist. Data Anal. 53 586-595. MR2654594
    • (2009) Comput. Statist. Data Anal. , vol.53 , pp. 586-595
    • Sill, M.W.1    Sampson, A.R.2
  • 21
    • 0345822598 scopus 로고    scopus 로고
    • The positive false discovery rate: A Bayesian interpretation and the q-value
    • MR2036398
    • STOREY, J. D. (2003). The positive false discovery rate: A Bayesian interpretation and the q-value. Ann. Statist. 31 2013-2035. MR2036398
    • (2003) Ann. Statist. , vol.31 , pp. 2013-2035
    • Storey, J.D.1
  • 24
    • 85194972808 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • MR1379242
    • TIBSHIRANI, R. (1996). Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. Ser. B 58 267-288. MR1379242
    • (1996) J. Roy. Statist. Soc. Ser. B , vol.58 , pp. 267-288
    • Tibshirani, R.1
  • 25
    • 84884951589 scopus 로고    scopus 로고
    • The lasso problem and uniqueness
    • MR3066375
    • TIBSHIRANI, R. J. (2013). The lasso problem and uniqueness. Electron. J. Stat. 7 1456-1490. MR3066375
    • (2013) Electron. J. Stat. , vol.7 , pp. 1456-1490
    • Tibshirani, R.J.1
  • 28
    • 84878042220 scopus 로고    scopus 로고
    • Selection adjusted confidence intervals with more power to determine the sign
    • MR3174610
    • WEINSTEIN, A., FITHIAN, W. and BENJAMINI, Y. (2013). Selection adjusted confidence intervals with more power to determine the sign. J. Amer. Statist. Assoc. 108 165-176. MR3174610
    • (2013) J. Amer. Statist. Assoc. , vol.108 , pp. 165-176
    • Weinstein, A.1    Fithian, W.2    Benjamini, Y.3
  • 29
    • 84891835103 scopus 로고    scopus 로고
    • Confidence intervals for low dimensional parameters in high dimensional linear models
    • MR3153940
    • ZHANG, C.-H. and ZHANG, S. S. (2014). Confidence intervals for low dimensional parameters in high dimensional linear models. J. R. Stat. Soc. Ser. B. Stat. Methodol. 76 217-242. MR3153940
    • (2014) J. R. Stat. Soc. Ser. B. Stat. Methodol. , vol.76 , pp. 217-242
    • Zhang, C.-H.1    Zhang, S.S.2
  • 30
    • 52449107055 scopus 로고    scopus 로고
    • Bias-reduced estimators and confidence intervals for odds ratios in genome-wide association studies
    • ZHONG, H. and PRENTICE, R. L. (2008). Bias-reduced estimators and confidence intervals for odds ratios in genome-wide association studies. Biostatistics 9 621-634.
    • (2008) Biostatistics , vol.9 , pp. 621-634
    • Zhong, H.1    Prentice, R.L.2
  • 31
    • 34147119077 scopus 로고    scopus 로고
    • Overcoming the winner's curse: Estimating penetrance parameters from case-control data
    • ZOLLNER, S. and PRITCHARD, J. K. (2007). Overcoming the winner's curse: Estimating penetrance parameters from case-control data. Am. J. Hum. Genet. 80 605-615.
    • (2007) Am. J. Hum. Genet. , vol.80 , pp. 605-615
    • Zollner, S.1    Pritchard, J.K.2
  • 32
    • 16244401458 scopus 로고    scopus 로고
    • Regularization and variable selection via the elastic net
    • MR2137327
    • ZOU, H. and HASTIE, T. (2005). Regularization and variable selection via the elastic net. J. R. Stat. Soc. Ser. B. Stat. Methodol. 67 301-320. MR2137327
    • (2005) J. R. Stat. Soc. Ser. B. Stat. Methodol. , vol.67 , pp. 301-320
    • Zou, H.1    Hastie, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.