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Volumn 35, Issue 6, 2007, Pages 2639-2653

Accelerated convergence for nonparametric regression with coarsened predictors

Author keywords

Confidence bands; Errors in vanables; Estimation of extremes; Functional limit theorem; Smoothing; Uniform convergence; Weak convergence

Indexed keywords


EID: 48049124481     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053607000000497     Document Type: Article
Times cited : (7)

References (17)
  • 1
    • 50849129669 scopus 로고    scopus 로고
    • BICKEL, P. J., KLAASSEN, C. A. J., RITOV, Y. and WELLNER, J. A. (1993). Efficient and Adaptive Estimation for Semiparametric Models. Johns Hopkins Univ. Press, Baltimore, MD. MR1245941
    • BICKEL, P. J., KLAASSEN, C. A. J., RITOV, Y. and WELLNER, J. A. (1993). Efficient and Adaptive Estimation for Semiparametric Models. Johns Hopkins Univ. Press, Baltimore, MD. MR1245941
  • 2
    • 1042267765 scopus 로고    scopus 로고
    • Low-order approximations in deconvolution and regression with errors in variables
    • MR2035757
    • CARROLL, R. J. and HALL, P. (2004). Low-order approximations in deconvolution and regression with errors in variables. J. R. Stat. Soc. Ser. B Stat. Methodol. 66 31-46. MR2035757
    • (2004) J. R. Stat. Soc. Ser. B Stat. Methodol , vol.66 , pp. 31-46
    • CARROLL, R.J.1    HALL, P.2
  • 3
    • 0001749398 scopus 로고    scopus 로고
    • Nonparametric regression in the presence of measurement error
    • MR1723777
    • CARROLL, R. J., MACA, J. D. and RUPPERT, D. (1999). Nonparametric regression in the presence of measurement error. Biometrika 86 541-554. MR1723777
    • (1999) Biometrika , vol.86 , pp. 541-554
    • CARROLL, R.J.1    MACA, J.D.2    RUPPERT, D.3
  • 4
    • 50849113850 scopus 로고    scopus 로고
    • CARROLL, R. J., RUPPERT, D. and STEFANSKI, L. (1995). Measurement Error in Nonlinear Models. Chapman and Hall, London. MR1630517
    • CARROLL, R. J., RUPPERT, D. and STEFANSKI, L. (1995). Measurement Error in Nonlinear Models. Chapman and Hall, London. MR1630517
  • 5
    • 0036791328 scopus 로고    scopus 로고
    • Empirical simulation extrapolation for measurement error models with replicate measurements
    • MR1932865
    • DEVANARAYAN, V. and STEFANSKI, L. A. (2002). Empirical simulation extrapolation for measurement error models with replicate measurements. Statist. Probab. Lett. 59 219-225. MR1932865
    • (2002) Statist. Probab. Lett , vol.59 , pp. 219-225
    • DEVANARAYAN, V.1    STEFANSKI, L.A.2
  • 6
    • 0000867838 scopus 로고
    • On the optimal rates of convergence for nonparametric deconvolution problems
    • MR1126324
    • FAN, J. (1991). On the optimal rates of convergence for nonparametric deconvolution problems. Ann. Statist. 19 1257-1272. MR1126324
    • (1991) Ann. Statist , vol.19 , pp. 1257-1272
    • FAN, J.1
  • 7
    • 38249009969 scopus 로고
    • Multivariate regression estimation with errors-in-variables: Asymptotic normality for mixing processes
    • MR1193614
    • FAN, J. and MASRY, E. (1992). Multivariate regression estimation with errors-in-variables: Asymptotic normality for mixing processes. J. Multivariate Anal. 43 237-271. MR1193614
    • (1992) J. Multivariate Anal , vol.43 , pp. 237-271
    • FAN, J.1    MASRY, E.2
  • 8
    • 50849109590 scopus 로고    scopus 로고
    • FAN, J. and TRUONG, Y. K. (1993). Nonparametric regression with errors in variables. Ann. Statist. 21 1900-1925. MR1245773
    • FAN, J. and TRUONG, Y. K. (1993). Nonparametric regression with errors in variables. Ann. Statist. 21 1900-1925. MR1245773
  • 9
    • 0012319253 scopus 로고
    • Nonparametric function estimation involving errors-in-variables
    • G. Roussas, ed, Kluwer, Dordrecht
    • FAN, J., TRUONG, Y. K. and WANG, Y. (1991). Nonparametric function estimation involving errors-in-variables. In Nonparametric Functional Estimation and Related Topics (G. Roussas, ed.) 613-627. Kluwer, Dordrecht.
    • (1991) Nonparametric Functional Estimation and Related Topics , pp. 613-627
    • FAN, J.1    TRUONG, Y.K.2    WANG, Y.3
  • 10
    • 50849123531 scopus 로고    scopus 로고
    • HASTIE, T., TIBSHIRANI, R. and FRIEDMAN, J. (2001). The Elements of Statistical Learning. Data Mining, Inference and Prediction. Springer, New York. MR1851606
    • HASTIE, T., TIBSHIRANI, R. and FRIEDMAN, J. (2001). The Elements of Statistical Learning. Data Mining, Inference and Prediction. Springer, New York. MR1851606
  • 11
    • 50849091368 scopus 로고    scopus 로고
    • HOBERT, J. P. and WAND, M. P. (2000). Automatic generalized nonparametric regression via maximum likelihood. Technical report, Dept. Biostatistics, Harvard School of Public Health.
    • HOBERT, J. P. and WAND, M. P. (2000). Automatic generalized nonparametric regression via maximum likelihood. Technical report, Dept. Biostatistics, Harvard School of Public Health.
  • 12
    • 0036626310 scopus 로고    scopus 로고
    • Nonparametric estimation of the conditional mode with errors-in-variables: Strong consistency for mixing processes
    • MR1905756
    • IOANNIDES, D. A. and MATZNER-LØBER, E. (2002). Nonparametric estimation of the conditional mode with errors-in-variables: Strong consistency for mixing processes. J. Non-parametr. Statist. 14 341-352. MR1905756
    • (2002) J. Non-parametr. Statist , vol.14 , pp. 341-352
    • IOANNIDES, D.A.1    MATZNER-LØBER, E.2
  • 13
    • 0011702253 scopus 로고    scopus 로고
    • Nonparametric estimation of the measurement error model using multiple indicators
    • MR1625869
    • LI, T. and VUONG, Q. (1998). Nonparametric estimation of the measurement error model using multiple indicators. J. Multivariate Anal. 65 139-165. MR1625869
    • (1998) J. Multivariate Anal , vol.65 , pp. 139-165
    • LI, T.1    VUONG, Q.2
  • 14
    • 0036004243 scopus 로고    scopus 로고
    • Nonparametric estimation with aggregated data
    • MR1891830
    • LINTON, O. and WHANG, Y.-J. (2002). Nonparametric estimation with aggregated data. Econometric Theory 18 420-468. MR1891830
    • (2002) Econometric Theory , vol.18 , pp. 420-468
    • LINTON, O.1    WHANG, Y.-J.2
  • 15
    • 84972949113 scopus 로고
    • Deconvoluting kernel density estimators
    • MR1054861
    • STEFANSKI, L. and CARROLL, R. J. (1990). Deconvoluting kernel density estimators. Statistics 21 169-184. MR1054861
    • (1990) Statistics , vol.21 , pp. 169-184
    • STEFANSKI, L.1    CARROLL, R.J.2
  • 16
    • 84950433368 scopus 로고
    • Simulation-extrapolation: The measurement error jackknife
    • MR1379467
    • STEFANSKI, L. A. and COOK, J. R. (1995). Simulation-extrapolation: The measurement error jackknife. J. Amer. Statist. Assoc. 90 1247-1256. MR1379467
    • (1995) J. Amer. Statist. Assoc , vol.90 , pp. 1247-1256
    • STEFANSKI, L.A.1    COOK, J.R.2
  • 17
    • 0035628688 scopus 로고    scopus 로고
    • Semi-parametric estimation in the nonlinear structural errors-in-variables model
    • MR1833959
    • TAUPIN, M. L. (2001). Semi-parametric estimation in the nonlinear structural errors-in-variables model. Ann. Statist. 29 66-93. MR1833959
    • (2001) Ann. Statist , vol.29 , pp. 66-93
    • TAUPIN, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.