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Volumn 29, Issue 1, 1997, Pages 1-36

Pointwise confidence intervals in nonparametric regression with heteroscedastic error structure

Author keywords

Asymptotic confidence interval; Cornish Fisher expansion; Edgeworth expansion; Error in coverage probability; Nonparametric regression; Wild bootstrap

Indexed keywords


EID: 4243057556     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331889708802572     Document Type: Article
Times cited : (15)

References (20)
  • 1
    • 0040977035 scopus 로고
    • On limit theorems for probabilities of moderate deviations
    • in Russian
    • Amosova, N. N. (1972) On limit theorems for probabilities of moderate deviations. Vestnik Leningrad. Univ., 13, 5-14 (in Russian).
    • (1972) Vestnik Leningrad. Univ. , vol.13 , pp. 5-14
    • Amosova, N.N.1
  • 3
    • 0142095814 scopus 로고
    • Rate of convergence for the wild bootstrap in nonparametric regression
    • Cao-Abad, R. (1991) Rate of convergence for the wild bootstrap in nonparametric regression. Ann. Statist., 19, 2226-2231.
    • (1991) Ann. Statist. , vol.19 , pp. 2226-2231
    • Cao-Abad, R.1
  • 5
    • 0002684932 scopus 로고
    • Kernel estimation of regression functions
    • Smoothing techniques for curve estimation.
    • Gasser, T. and Müller, H. G. (1979) Kernel estimation of regression functions. In Smoothing techniques for curve estimation. Lecture Notes in Math., 757, 23-68.
    • (1979) Lecture Notes in Math. , vol.757 , pp. 23-68
    • Gasser, T.1    Müller, H.G.2
  • 6
    • 84963238289 scopus 로고
    • Edgeworth expansions for nonparametric density estimators, with applications
    • Hall, P. (1991) Edgeworth expansions for nonparametric density estimators, with applications. Statistics, 22, 215-231.
    • (1991) Statistics , vol.22 , pp. 215-231
    • Hall, P.1
  • 7
    • 0001260350 scopus 로고
    • Effect of bias estimation on coverage accuracy of bootstrap confidence intervals for a probability density
    • Hall, P. (1992a) Effect of bias estimation on coverage accuracy of bootstrap confidence intervals for a probability density. Ann. Statist., 20, 675-694.
    • (1992) Ann. Statist. , vol.20 , pp. 675-694
    • Hall, P.1
  • 8
    • 0000629923 scopus 로고
    • On bootstrap confidence intervals in nonparametric regression
    • Hall, P. (1992b) On bootstrap confidence intervals in nonparametric regression. Ann. Statist., 20, 695-711.
    • (1992) Ann. Statist. , vol.20 , pp. 695-711
    • Hall, P.1
  • 9
    • 0002279247 scopus 로고
    • Variance function estimation in regression: The effect of estimating the mean
    • Hall, P. and Carroll, R. J. (1989) Variance function estimation in regression: the effect of estimating the mean. J. Roy. Statist. Soc., B 51, 3-14.
    • (1989) J. Roy. Statist. Soc. , vol.B51 , pp. 3-14
    • Hall, P.1    Carroll, R.J.2
  • 10
    • 84963386964 scopus 로고
    • Better bootstrap confidence intervals for regression curve estimation
    • Härdle, W., Huet, S. and Jolivet, E. (1995) Better bootstrap confidence intervals for regression curve estimation. Statistics, 26, 287-306.
    • (1995) Statistics , vol.26 , pp. 287-306
    • Härdle, W.1    Huet, S.2    Jolivet, E.3
  • 11
    • 0001079479 scopus 로고
    • Regression smoothing parameters that are not far from their optimum
    • Härdle, W., Hall, P. and Marron, J. S. (1991) Regression smoothing parameters that are not far from their optimum. J. Amer. Statist. Assoc., 87, 227-233.
    • (1991) J. Amer. Statist. Assoc. , vol.87 , pp. 227-233
    • Härdle, W.1    Hall, P.2    Marron, J.S.3
  • 12
    • 21344496537 scopus 로고
    • Comparing nonparametric versus parametric regression fits
    • Härdle, W. and Mammen, E. (1993) Comparing nonparametric versus parametric regression fits. Ann. Statist., 21, 1926-1947.
    • (1993) Ann. Statist. , vol.21 , pp. 1926-1947
    • Härdle, W.1    Mammen, E.2
  • 13
    • 0039658917 scopus 로고
    • Second order correctness of bootstrap confidence intervals for the parameters of a nonlinear regression model
    • Huet, S. and Jolivet, E. (1989) Second order correctness of bootstrap confidence intervals for the parameters of a nonlinear regression model. C. R. Acad. Sci. Paris Sér. I., 429-432.
    • (1989) C. R. Acad. Sci. Paris Sér.I , pp. 429-432
    • Huet, S.1    Jolivet, E.2
  • 15
    • 0000881596 scopus 로고
    • Fully data-driven nonparametric variance estimators
    • Neumann, M. H. (1994) Fully data-driven nonparametric variance estimators. Statistics, 25, 189-212.
    • (1994) Statistics , vol.25 , pp. 189-212
    • Neumann, M.H.1
  • 16
    • 0347706411 scopus 로고
    • Automatic bandwidth choice and confidence intervals in non-parametric regression
    • Neumann, M. H. (1995) Automatic bandwidth choice and confidence intervals in non-parametric regression. Ann. Statist., 23, 1937-1959.
    • (1995) Ann. Statist. , vol.23 , pp. 1937-1959
    • Neumann, M.H.1
  • 17
    • 0001096790 scopus 로고
    • Transformations of an Edgeworth expansion by a sequence of smooth functions
    • Skovgaard, I. M. (1981) Transformations of an Edgeworth expansion by a sequence of smooth functions. Scand. J. Statist., 8, 207-217.
    • (1981) Scand. J. Statist. , vol.8 , pp. 207-217
    • Skovgaard, I.M.1
  • 18
    • 0007288109 scopus 로고
    • On multivariate Edgeworth expansions
    • Skovgaard, I. M. (1986) On multivariate Edgeworth expansions. Int. Statist. Rev., 54, 169-186.
    • (1986) Int. Statist. Rev. , vol.54 , pp. 169-186
    • Skovgaard, I.M.1
  • 19
    • 0001609148 scopus 로고
    • Bounds for the moments of linear and quadratic forms in independent variables
    • Whittle, P. (1960) Bounds for the moments of linear and quadratic forms in independent variables. Theory Prob. Appl., 5, 302-305.
    • (1960) Theory Prob. Appl. , vol.5 , pp. 302-305
    • Whittle, P.1
  • 20
    • 0001673027 scopus 로고
    • Jackknife, bootstrap and other resampling methods in nonparametric regression analysis
    • Wu, C. F. J. (1986) Jackknife, bootstrap and other resampling methods in nonparametric regression analysis (with discussion) Ann. Statist., 14, 1261-1344.
    • (1986) Ann. Statist. , vol.14 , pp. 1261-1344
    • Wu, C.F.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.