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Volumn 38, Issue 5, 2010, Pages 2884-2915

Bootstrap consistency for general semiparametric M-estimation

Author keywords

Bootstrap confidence set; Bootstrap consistency; M estimation; Semiparametric model

Indexed keywords


EID: 77957551218     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/10-AOS809     Document Type: Article
Times cited : (126)

References (45)
  • 1
    • 0003258406 scopus 로고
    • The weighted bootstrap
    • Springer, New York. MR2195545
    • BARBE, P. and BERTAIL, P. (1995). The Weighted Bootstrap. Lecture Notes in Statistics 98. Springer, New York. MR2195545
    • (1995) Lecture Notes in Statistics , vol.98
    • Barbe, P.1    Bertail, P.2
  • 2
    • 63549138242 scopus 로고    scopus 로고
    • Semiparametric binary regression models under shape constraints with an application to Indian schooling data
    • MR2518501
    • BANERJEE, M., MUKHERJEE, D. andMISHRA, S. (2009). Semiparametric binary regression models under shape constraints with an application to Indian schooling data. J. Econometrics 149 101-117. MR2518501
    • (2009) J. Econometrics , vol.149 , pp. 101-117
    • Banerjee, M.1    Mukherjee, D.2    Mishra, S.3
  • 3
    • 0000485156 scopus 로고
    • Some asymptotic theory for the bootstrap
    • MR0630103
    • BICKEL, P. J. and FREEDMAN, D. A. (1981). Some asymptotic theory for the bootstrap. Ann. Statist. 9 1196-1217. MR0630103
    • (1981) Ann. Statist. , vol.9 , pp. 1196-1217
    • Bickel, P.J.1    Freedman, D.A.2
  • 5
    • 18444418553 scopus 로고    scopus 로고
    • Generalized bootstrap for estimating equations
    • MR2157808
    • CHATTERJEE, S. and BOSE, A. (2005). Generalized bootstrap for estimating equations. Ann. Statist. 33 414-436. MR2157808
    • (2005) Ann. Statist. , vol.33 , pp. 414-436
    • Chatterjee, S.1    Bose, A.2
  • 6
    • 63149177630 scopus 로고    scopus 로고
    • Efficient estimation of semiparametric conditional moment models with possibly nonsmooth residuals
    • MR2562763
    • CHEN, X. and POUZO, D. (2009). Efficient estimation of semiparametric conditional moment models with possibly nonsmooth residuals. J. Econometrics 152 46-60. MR2562763
    • (2009) J. Econometrics , vol.152 , pp. 46-60
    • Chen, X.1    Pouzo, D.2
  • 7
    • 77957597919 scopus 로고    scopus 로고
    • Semiparametric additive isotonic regression
    • MR2497554
    • CHENG, G. (2008). Semiparametric additive isotonic regression. J. Statist. Plann. Inference 100 345-362. MR2497554
    • (2008) J. Statist. Plann. Inference , vol.100 , pp. 345-362
    • Cheng, G.1
  • 8
    • 51049121863 scopus 로고    scopus 로고
    • Higher order semiparametric frequentist inference with the profile sampler
    • MR2435456
    • CHENG, G. andKOSOROK, M. (2008). Higher order semiparametric frequentist inference with the profile sampler. Ann. Statist. 36 1786-1818. MR2435456
    • (2008) Ann. Statist. , vol.36 , pp. 1786-1818
    • Cheng, G.1    Kosorok, M.2
  • 9
    • 51049112722 scopus 로고    scopus 로고
    • General frequentist properties of the posterior profile distribution
    • MR2435457
    • CHENG, G. and KOSOROK, M. (2008). General frequentist properties of the posterior profile distribution. Ann. Statist. 36 1819-1853. MR2435457
    • (2008) Ann. Statist. , vol.36 , pp. 1819-1853
    • Cheng, G.1    Kosorok, M.2
  • 10
    • 28044442060 scopus 로고    scopus 로고
    • On semiparametric M-estimation in single-index regression
    • MR2181975
    • DELECROIX, M., HRISTACHE, M. and PATILEA, V. (2006). On semiparametric M-estimation in single-index regression. J. Statist. Plann. Inference 136 730-769. MR2181975
    • (2006) J. Statist. Plann. Inference , vol.136 , pp. 730-769
    • Delecroix, M.1    Hristache, M.2    Patilea, V.3
  • 11
    • 26244435600 scopus 로고    scopus 로고
    • Functional inference in semiparametric models using the piggyback bootstrap
    • MR2160650
    • DIXON, J., KOSOROK, M. and LEE, B. L. (2005). Functional inference in semiparametric models using the piggyback bootstrap. Ann. Inst. Statist. Math. 57 255-277. MR2160650
    • (2005) Ann. Inst. Statist. Math. , vol.57 , pp. 255-277
    • Dixon, J.1    Kosorok, M.2    Lee, B.L.3
  • 12
    • 0000085854 scopus 로고
    • A course on empirical processes
    • Springer, Berlin. MR0876079
    • DUDLEY, R. M. (1984). A Course on Empirical Processes. Lecture Notes in Math. 1097 2-142. Springer, Berlin. MR0876079
    • (1984) Lecture Notes in Math. , vol.1097 , pp. 2-142
    • Dudley, R.M.1
  • 14
    • 84964203940 scopus 로고
    • Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy
    • MR0833275
    • EFRON, B. and TIBSHIRANI, R. (1986). Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy. Statist. Sci. 1 54-75. MR0833275
    • (1986) Statist. Sci. , vol.1 , pp. 54-75
    • Efron, B.1    Tibshirani, R.2
  • 17
    • 0001678364 scopus 로고
    • Bootstrapping general empirical functions
    • MR1055437
    • GINE, E. and ZINN, J. (1990). Bootstrapping general empirical functions. Ann. Probab. 18 851-869. MR1055437
    • (1990) Ann. Probab. , vol.18 , pp. 851-869
    • Gine, E.1    Zinn, J.2
  • 19
    • 18244426769 scopus 로고    scopus 로고
    • Bootstrap inference in semiparametric generalized additive models
    • MR2044272
    • HARDLE, W., HUET, S., MAMMEN, E. and SPERLICH, S. (2004). Bootstrap inference in semiparametric generalized additive models. Econometric Theory 20 265-300. MR2044272
    • (2004) Econometric Theory , vol.20 , pp. 265-300
    • Hardle, W.1    Huet, S.2    Mammen, E.3    Sperlich, S.4
  • 20
    • 0033233734 scopus 로고    scopus 로고
    • Efficient estimation of the partly linear Cox model
    • MR1742499
    • HUANG, J. (1999). Efficient estimation of the partly linear Cox model. Ann. Statist. 27 1536-1563. MR1742499
    • (1999) Ann. Statist. , vol.27 , pp. 1536-1563
    • Huang, J.1
  • 21
    • 10344265691 scopus 로고    scopus 로고
    • Robust inference for univariate proportional hazards frailty regression models
    • MR2089130
    • KOSOROK, M., LEE, B. L. and FINE, J. P. (2004). Robust inference for univariate proportional hazards frailty regression models. Ann. Statist. 32 1448-1491. MR2089130
    • (2004) Ann. Statist. , vol.32 , pp. 1448-1491
    • Kosorok, M.1    Lee, B.L.2    Fine, J.P.3
  • 23
    • 77955154112 scopus 로고    scopus 로고
    • Boostrapping the Grenander estimator. in beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen
    • IMS, Beachwood, OH. MR2462212
    • KOSOROK, M. (2008). Boostrapping the Grenander estimator. In Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen. IMS Collections 1 282-292. IMS, Beachwood, OH. MR2462212
    • (2008) IMS Collections , vol.1 , pp. 282-292
    • Kosorok, M.1
  • 25
    • 33748882127 scopus 로고    scopus 로고
    • On m out of n bootstrapping for nonstandard M-estimation with nuisance parameters
    • MR2328306
    • LEE, S. M. S. and PUN, M. C. (2006). On m out of n bootstrapping for nonstandard M-estimation with nuisance parameters. J. Amer. Statist. Assoc. 101 1185-1197. MR2328306
    • (2006) J. Amer. Statist. Assoc. , vol.101 , pp. 1185-1197
    • Lee, S.M.S.1    Pun, M.C.2
  • 26
    • 0042415439 scopus 로고    scopus 로고
    • Bootstrap approximations in a partially linear regression model
    • MR1814793
    • LIANG, H., HÄRDLE, W. and SOMMERFELD, V. (2000). Bootstrap approximations in a partially linear regression model. J. Statist. Plann. Inference 91 413-426. MR1814793
    • (2000) J. Statist. Plann. Inference , vol.91 , pp. 413-426
    • Liang, H.1    Härdle, W.2    Sommerfeld, V.3
  • 27
    • 21144482670 scopus 로고
    • A Bayesian bootstrap for censored data
    • MR1212168
    • LO, A. Y. (1993). A Bayesian bootstrap for censored data. Ann. Statist. 21 100-123. MR1212168
    • (1993) Ann. Statist. , vol.21 , pp. 100-123
    • Lo, A.Y.1
  • 28
    • 23844553249 scopus 로고    scopus 로고
    • Robust semiparametric M-estimation and the weighted bootstrap
    • MR2202406
    • MA, S. and KOSOROK, M. (2005). Robust semiparametric M-estimation and the weighted bootstrap. J. Multivariate Anal. 96 190-217. MR2202406
    • (2005) J. Multivariate Anal. , vol.96 , pp. 190-217
    • Ma, S.1    Kosorok, M.2
  • 29
    • 30344452322 scopus 로고    scopus 로고
    • Penalized log-likelihood estimation for partly linear transformation models with current status data
    • MR2211086
    • MA, S. and KOSOROK, M. (2005). Penalized log-likelihood estimation for partly linear transformation models with current status data. Ann. Statist. 33 2256-2290. MR2211086
    • (2005) Ann. Statist. , vol.33 , pp. 2256-2290
    • Ma, S.1    Kosorok, M.2
  • 30
    • 21144482574 scopus 로고
    • A rank statistic approach to the consistency of a general bootstrap
    • MR1186268
    • MASON, D. andNEWTON, M. (1992). A rank statistic approach to the consistency of a general bootstrap. Ann. Statist. 20 1611-1624. MR1186268
    • (1992) Ann. Statist. , vol.20 , pp. 1611-1624
    • Mason, D.1    Newton, M.2
  • 31
    • 0000981738 scopus 로고    scopus 로고
    • Observed information in semiparametric models
    • MR1693616
    • MURPHY, S. A. and VAN DER VAART, A. W. (1999). Observed information in semiparametric models. Bernoulli 5 381-412. MR1693616
    • (1999) Bernoulli , vol.5 , pp. 381-412
    • Murphy, S.A.1    Van Der Vaart, A.W.2
  • 33
    • 0001018767 scopus 로고
    • Exchangeably weighted bootstraps of the general empirical process
    • MR1245301
    • PRAESTGAARD, J. andWELLNER, J. (1993). Exchangeably weighted bootstraps of the general empirical process. Ann. Probab. 21 2053-2086. MR1245301
    • (1993) Ann. Probab. , vol.21 , pp. 2053-2086
    • Praestgaard, J.1    Wellner, J.2
  • 34
    • 0000135972 scopus 로고
    • The Bayesian bootstrap
    • MR0600538
    • RUBIN, D. (1981). The Bayesian bootstrap. Ann. Statist. 9 130-134. MR0600538
    • (1981) Ann. Statist. , vol.9 , pp. 130-134
    • Rubin, D.1
  • 35
    • 77955165515 scopus 로고    scopus 로고
    • Inconsistency of bootstrap: The Grenander estimator
    • SEN, B., BANERJEE, M. and WOODROOFE, M. B. (2010). Inconsistency of bootstrap: The Grenander estimator. Ann. Statist. 38 1953-1977.
    • (2010) Ann. Statist. , vol.38 , pp. 1953-1977
    • Sen, B.1    Banerjee, M.2    Woodroofe, M.B.3
  • 36
    • 0000824767 scopus 로고
    • On the asymptotic accuracy of Efron's bootstrap
    • MR0630102
    • SINGH, K. (1981). On the asymptotic accuracy of Efron's bootstrap. Ann. Statist. 9 1187-1195. MR0630102
    • (1981) Ann. Statist. , vol.9 , pp. 1187-1195
    • Singh, K.1
  • 37
    • 33645843614 scopus 로고    scopus 로고
    • A regression model for dependent gap times
    • Article 1,(electronic). MR2275896
    • STRAWDERMAN, R. (2006). A regression model for dependent gap times. Int. J. Biostat. 2 Article 1, 34 pp. (electronic). MR2275896
    • (2006) Int. J. Biostat. , vol.2
    • Strawderman, R.1
  • 42
    • 50449107928 scopus 로고    scopus 로고
    • Two likelihood-based semiparametric estimation methods for panel count data with covariates
    • MR2363965
    • WELLNER, J. A. and ZHANG, Y. (2007). Two likelihood-based semiparametric estimation methods for panel count data with covariates. Ann. Statist. 35 2106-2142. MR2363965
    • (2007) Ann. Statist. , vol.35 , pp. 2106-2142
    • Wellner, J.A.1    Zhang, Y.2
  • 43
    • 39849103422 scopus 로고    scopus 로고
    • Regression analysis of a disease onset distribution using diagnosis data
    • MR2422815
    • YOUNG, J. G., JEWELL, N. P. and SAMUELS, S. J. (2008). Regression analysis of a disease onset distribution using diagnosis data. Biometrics 64 20-28. MR2422815
    • (2008) Biometrics , vol.64 , pp. 20-28
    • Young, J.G.1    Jewell, N.P.2    Samuels, S.J.3
  • 44
    • 34547837458 scopus 로고    scopus 로고
    • Maximum likelihood estimation in semiparametric models with censored data (with discussion
    • MR2370068
    • ZENG, D. L. and LIN, D. Y. (2007).Maximum likelihood estimation in semiparametric models with censored data (with discussion). J. R. Stat. Soc. Ser. B Stat. Methodol. 69 507-564. MR2370068
    • (2007) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.69 , pp. 507-564
    • Zeng, D.L.1    Lin, D.Y.2
  • 45
    • 51049121643 scopus 로고    scopus 로고
    • Semiparametric detection of significant activation for brain FMRI
    • MR2435453
    • ZHANG, C. M. and YU, T. (2008). Semiparametric detection of significant activation for brain FMRI. Ann. Statist. 36 1693-1725. MR2435453
    • (2008) Ann. Statist. , vol.36 , pp. 1693-1725
    • Zhang, C.M.1    Yu, T.2


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