메뉴 건너뛰기




Volumn 52, Issue 4, 1996, Pages 1342-1362

On the use of nonparametric regression techniques for fitting parametric regression models

Author keywords

Censored data; Polynomial regression; Regression diagnostics; Residual plots; Truncated data

Indexed keywords

ASYMPTOTIC ANALYSIS; COVARIANCE MATRIX;

EID: 0030479922     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2532849     Document Type: Article
Times cited : (29)

References (57)
  • 1
    • 21844511145 scopus 로고
    • Nearest neighbor estimation of a bivariate distribution under random censoring
    • Akritas, M. G. (1994). Nearest neighbor estimation of a bivariate distribution under random censoring. Annals of Statistics 22, 1299-1327.
    • (1994) Annals of Statistics , vol.22 , pp. 1299-1327
    • Akritas, M.G.1
  • 3
    • 0002701230 scopus 로고
    • On the use of nonparametric regression for model checking
    • Azzalini, A., Bowman, A. W., and Härdle, W. (1989). On the use of nonparametric regression for model checking. Biometrika 76, 1-11.
    • (1989) Biometrika , vol.76 , pp. 1-11
    • Azzalini, A.1    Bowman, A.W.2    Härdle, W.3
  • 5
    • 0007192406 scopus 로고
    • Large sample theory of estimation in biased sampling regression models
    • Bickel, P. J. and Ritov, J. (1991). Large sample theory of estimation in biased sampling regression models. Annals of Statistics 19, 797-816.
    • (1991) Annals of Statistics , vol.19 , pp. 797-816
    • Bickel, P.J.1    Ritov, J.2
  • 6
    • 0001682292 scopus 로고
    • A large sample study of the life table and product limit estimates under random censorship
    • Breslow, N. E. and Crowley, J. (1974). A large sample study of the life table and product limit estimates under random censorship. Annals of Statistics 2, 437-453.
    • (1974) Annals of Statistics , vol.2 , pp. 437-453
    • Breslow, N.E.1    Crowley, J.2
  • 7
    • 0018668029 scopus 로고
    • Linear regression with censored data
    • Buckley, J. and James, I. (1979). Linear regression with censored data. Biometrika 66, 429-436.
    • (1979) Biometrika , vol.66 , pp. 429-436
    • Buckley, J.1    James, I.2
  • 8
    • 0000014224 scopus 로고
    • Linear smoothers and additive models
    • Buja, A., Hastie, T., and Tibshirani, R. (1989). Linear smoothers and additive models (with discussion). Annals of Statistics 17, 453-555.
    • (1989) Annals of Statistics , vol.17 , pp. 453-555
    • Buja, A.1    Hastie, T.2    Tibshirani, R.3
  • 9
    • 0010952121 scopus 로고
    • Some representations of the nonparametric maximum likelihood estimators with truncated data
    • Chao, M.-T. and Lo, S.-H. (1988). Some representations of the nonparametric maximum likelihood estimators with truncated data. Annals of Statistics 16, 661-668.
    • (1988) Annals of Statistics , vol.16 , pp. 661-668
    • Chao, M.-T.1    Lo, S.-H.2
  • 10
    • 0000439838 scopus 로고
    • Testing the (parametric) null model hypothesis in (semiparametric) partial and generalized spline models
    • Cox, D. D., Koh, E., Wahba, G., and Yandell, B. (1988). Testing the (parametric) null model hypothesis in (semiparametric) partial and generalized spline models. Annals of Statistics 16, 113-119.
    • (1988) Annals of Statistics , vol.16 , pp. 113-119
    • Cox, D.D.1    Koh, E.2    Wahba, G.3    Yandell, B.4
  • 12
    • 0001499791 scopus 로고
    • A class of linear regression parameter estimators constructed by nonparametric estimation
    • Cristóbal Cristobal, J. A., Faraldo Roca, P., and Gonzalez Manteiga, W. (1987). A class of linear regression parameter estimators constructed by nonparametric estimation. Annals of Statistics 15, 603-609.
    • (1987) Annals of Statistics , vol.15 , pp. 603-609
    • Cristóbal Cristobal, J.A.1    Faraldo Roca, P.2    Gonzalez Manteiga, W.3
  • 13
    • 0001543892 scopus 로고
    • Non-parametric regression with censored survival time data
    • Dabrowska, D. M. (1987). Non-parametric regression with censored survival time data. Scandinavian Journal of Statistics 14, 181-197.
    • (1987) Scandinavian Journal of Statistics , vol.14 , pp. 181-197
    • Dabrowska, D.M.1
  • 14
    • 0001608928 scopus 로고
    • Uniform consistency of the kernel conditional Kaplan-Meier estimate
    • Dabrowska, D. M. (1989). Uniform consistency of the kernel conditional Kaplan-Meier estimate. Annals of Statistics 17, 1157-1167.
    • (1989) Annals of Statistics , vol.17 , pp. 1157-1167
    • Dabrowska, D.M.1
  • 15
    • 0002482618 scopus 로고
    • Nonparametric quantile regression with censored data
    • Dabrowska, D. M. (1992). Nonparametric quantile regression with censored data. Sankhya, Series A 54, 252-259.
    • (1992) Sankhya, Series A , vol.54 , pp. 252-259
    • Dabrowska, D.M.1
  • 16
    • 84950450933 scopus 로고
    • Testing the goodness-of-fit of linear models via nonparametric regression techniques
    • Eubank, R. and Spiegelman, C. (1990). Testing the goodness-of-fit of linear models via nonparametric regression techniques. Journal of the American Statistical Association 85, 387-392.
    • (1990) Journal of the American Statistical Association , vol.85 , pp. 387-392
    • Eubank, R.1    Spiegelman, C.2
  • 17
    • 21844504238 scopus 로고
    • Monotone estimating equations for censored data
    • Fygenson, M. and Ritov, Y. (1994). Monotone estimating equations for censored data. Annals of Statistics 22, 732-746.
    • (1994) Annals of Statistics , vol.22 , pp. 732-746
    • Fygenson, M.1    Ritov, Y.2
  • 18
    • 21844502983 scopus 로고
    • On using stratification in the analysis of linear regression models with right censored data
    • Fygenson, M. and Zhou, M. (1994). On using stratification in the analysis of linear regression models with right censored data. Annals of Statistics 22, 747-762.
    • (1994) Annals of Statistics , vol.22 , pp. 747-762
    • Fygenson, M.1    Zhou, M.2
  • 19
    • 0002761375 scopus 로고
    • Large sample behavior of the product-limit estimator on the whole line
    • Gill, R. D. (1983). Large sample behavior of the product-limit estimator on the whole line. Annals of Statistics 11, 49-58.
    • (1983) Annals of Statistics , vol.11 , pp. 49-58
    • Gill, R.D.1
  • 21
    • 0000944497 scopus 로고
    • A geometrical method for removing edge effects from kernel-type nonparametric regression estimators
    • Hall, P. and Wehrly, T. E. (1991). A geometrical method for removing edge effects from kernel-type nonparametric regression estimators. Journal of the American Statistical Association 86, 665-672.
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 665-672
    • Hall, P.1    Wehrly, T.E.2
  • 22
    • 21344496537 scopus 로고
    • Comparing nonparametric versus parametric regression fits
    • Härdle, W. and Mammen, E. (1993). Comparing nonparametric versus parametric regression fits. Annals of Statistics 21, 1926-1947.
    • (1993) Annals of Statistics , vol.21 , pp. 1926-1947
    • Härdle, W.1    Mammen, E.2
  • 23
    • 0001864592 scopus 로고
    • Semiparametric comparison of regression curves
    • Härdle, W. and Marron, J. S. (1990). Semiparametric comparison of regression curves. Annals of Statistics 18, 63-89.
    • (1990) Annals of Statistics , vol.18 , pp. 63-89
    • Härdle, W.1    Marron, J.S.2
  • 24
    • 0001442662 scopus 로고
    • Robust nonparametric regression with simultaneous scale curve estimation
    • Härdle, W. and Tsybakov, A. B. (1988). Robust nonparametric regression with simultaneous scale curve estimation. Annals of Statistics 16, 120-135.
    • (1988) Annals of Statistics , vol.16 , pp. 120-135
    • Härdle, W.1    Tsybakov, A.B.2
  • 25
    • 0002724397 scopus 로고
    • Regression models for right truncated data with applications to AIDS incubation times and reporting lags
    • Kalbfleisch, J. D. and Lawless, J. F. (1991). Regression models for right truncated data with applications to AIDS incubation times and reporting lags. Statistica Sinica 1, 19-32.
    • (1991) Statistica Sinica , vol.1 , pp. 19-32
    • Kalbfleisch, J.D.1    Lawless, J.F.2
  • 27
    • 0002459742 scopus 로고
    • Large sample theory of a modified Buckley-James estimator for regression analysis with censored data
    • Lai, T. and Ying, Z. (1991a). Large sample theory of a modified Buckley-James estimator for regression analysis with censored data. Annals of Statistics 19, 1370-1402.
    • (1991) Annals of Statistics , vol.19 , pp. 1370-1402
    • Lai, T.1    Ying, Z.2
  • 28
    • 0000286861 scopus 로고
    • Rank regression methods for left truncated and right censored data
    • Lai, T. and Ying, Z. (1991b). Rank regression methods for left truncated and right censored data. Annals of Statistics 19, 531-554.
    • (1991) Annals of Statistics , vol.19 , pp. 531-554
    • Lai, T.1    Ying, Z.2
  • 29
    • 0041059741 scopus 로고
    • Asymptotic theory of a bias-corrected least squares estimator in truncated regression
    • Lai, T. and Ying, Z. (1992a). Asymptotic theory of a bias-corrected least squares estimator in truncated regression. Statistica Sinica 2, 519-539.
    • (1992) Statistica Sinica , vol.2 , pp. 519-539
    • Lai, T.1    Ying, Z.2
  • 30
    • 38249015785 scopus 로고
    • Linear rank statistics for regression analysis with censored or truncated data
    • Lai, T. and Ying, Z. (1992b). Linear rank statistics for regression analysis with censored or truncated data. Journal of Multivariate Analysts 40, 13-45.
    • (1992) Journal of Multivariate Analysts , vol.40 , pp. 13-45
    • Lai, T.1    Ying, Z.2
  • 31
    • 0010162845 scopus 로고
    • A missing information principle and M-estimators in regression analysis with censored or truncated data
    • Lai, T. and Ying, Z. (1994). A missing information principle and M-estimators in regression analysis with censored or truncated data. Annals of Statistics 22, 1222-1255.
    • (1994) Annals of Statistics , vol.22 , pp. 1222-1255
    • Lai, T.1    Ying, Z.2
  • 34
    • 0026754382 scopus 로고
    • Linear regression analysis based on Buckley-James estimating equations
    • Lin, D. Y. and Wei, L. J. (1992a). Linear regression analysis based on Buckley-James estimating equations. Biometrics 48, 679-681.
    • (1992) Biometrics , vol.48 , pp. 679-681
    • Lin, D.Y.1    Wei, L.J.2
  • 35
    • 84950438424 scopus 로고
    • Linear regression analysis of multivariate failure time observations
    • Lin, D. Y. and Wei, L. J. (1992b). Linear regression analysis of multivariate failure time observations. Journal of the American Statistical Association 87, 1091-1097.
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 1091-1097
    • Lin, D.Y.1    Wei, L.J.2
  • 36
    • 12644307925 scopus 로고
    • Semiparametric inference for the accelerated life model with time-dependent covariates
    • Lin, D. Y. and Ying, Z. (1994). Semiparametric inference for the accelerated life model with time-dependent covariates. Journal of Statistical Planning and Inference 80, 557-572.
    • (1994) Journal of Statistical Planning and Inference , vol.80 , pp. 557-572
    • Lin, D.Y.1    Ying, Z.2
  • 37
    • 0001613633 scopus 로고
    • The product-limit estimator and the bootstrap: Some asymptotic representations
    • Lo, S.-H. and Singh, K. (1986). The product-limit estimator and the bootstrap: Some asymptotic representations. Probability Theory and Related Fields 71, 455-465.
    • (1986) Probability Theory and Related Fields , vol.71 , pp. 455-465
    • Lo, S.-H.1    Singh, K.2
  • 38
    • 0002779015 scopus 로고
    • A method of allowing for known observational selection in small samples applied to 3CR quasars
    • Lynden-Bell, D. (1971). A method of allowing for known observational selection in small samples applied to 3CR quasars. Monthly Notices of the Royal Astronomical Society 155, 95-118.
    • (1971) Monthly Notices of the Royal Astronomical Society , vol.155 , pp. 95-118
    • Lynden-Bell, D.1
  • 39
    • 0000502398 scopus 로고
    • Inference for a nonlinear counting process regression model
    • McKeague, I. W. and Utikal, K. J. (1990). Inference for a nonlinear counting process regression model. Annals of Statistics 18, 1172-1187.
    • (1990) Annals of Statistics , vol.18 , pp. 1172-1187
    • McKeague, I.W.1    Utikal, K.J.2
  • 40
    • 0000920665 scopus 로고
    • Regression with censored data
    • Miller, R. and Halpern, J. (1982). Regression with censored data. Biometrika 69, 521-531.
    • (1982) Biometrika , vol.69 , pp. 521-531
    • Miller, R.1    Halpern, J.2
  • 41
    • 0000637305 scopus 로고
    • Estimation in a linear regression model with censored data
    • Ritov, Y. (1990). Estimation in a linear regression model with censored data. Annals of Statistics 18, 303-328.
    • (1990) Annals of Statistics , vol.18 , pp. 303-328
    • Ritov, Y.1
  • 42
    • 0000608132 scopus 로고
    • Estimation of the time-dependent accelerated failure time model in the presence of confounding factors
    • Robins, J. (1992). Estimation of the time-dependent accelerated failure time model in the presence of confounding factors. Biometrika 79, 321-334.
    • (1992) Biometrika , vol.79 , pp. 321-334
    • Robins, J.1
  • 43
    • 0000936139 scopus 로고
    • Semiparametric estimation of an accelerated failure time model with time-dependent covariates
    • Robins, J. and Tsiatis, A. A. (1992). Semiparametric estimation of an accelerated failure time model with time-dependent covariates. Biometrika 79, 311-319.
    • (1992) Biometrika , vol.79 , pp. 311-319
    • Robins, J.1    Tsiatis, A.A.2
  • 49
    • 21144472883 scopus 로고
    • Almost sure representations of the product-limit estimator for truncated data
    • Stute, W. (1993). Almost sure representations of the product-limit estimator for truncated data. Annals of Statistics 21, 146-156.
    • (1993) Annals of Statistics , vol.21 , pp. 146-156
    • Stute, W.1
  • 50
    • 0003271197 scopus 로고
    • Estimating regression parameters using linear rank tests for censored data
    • Tsiatis, A. A. (1990). Estimating regression parameters using linear rank tests for censored data. Annals of Statistics 18, 354-372.
    • (1990) Annals of Statistics , vol.18 , pp. 354-372
    • Tsiatis, A.A.1
  • 52
    • 0000006354 scopus 로고
    • Asymptotic properties of the product limit estimate under random truncation
    • Wang, M.-C., Jewell, N. P., and Tsai, W. Y. (1986). Asymptotic properties of the product limit estimate under random truncation. Annals of Statistics 14, 1597-1605.
    • (1986) Annals of Statistics , vol.14 , pp. 1597-1605
    • Wang, M.-C.1    Jewell, N.P.2    Tsai, W.Y.3
  • 53
    • 0346978426 scopus 로고
    • Linear regression analysis of censored survival data based on linear rank tests
    • Wei, L. J., Ying, Z., and Lin, D. (1990). Linear regression analysis of censored survival data based on linear rank tests. Biometrika 19, 417-442.
    • (1990) Biometrika , vol.19 , pp. 417-442
    • Wei, L.J.1    Ying, Z.2    Lin, D.3
  • 54
    • 0000577679 scopus 로고
    • Estimating a distribution function with truncated data
    • Woodroofe, M. (1985). Estimating a distribution function with truncated data. Annals of Statistics 13, 163-177.
    • (1985) Annals of Statistics , vol.13 , pp. 163-177
    • Woodroofe, M.1
  • 56
    • 0000207323 scopus 로고
    • Asymptotic normality of the 'synthetic data' regression estimator for censored survival data
    • Zhou, M. (1992a). Asymptotic normality of the 'synthetic data' regression estimator for censored survival data. Annals of Statistics 20, 1002-1021.
    • (1992) Annals of Statistics , vol.20 , pp. 1002-1021
    • Zhou, M.1
  • 57
    • 0010655477 scopus 로고
    • M-estimation in censored linear models
    • Zhou, M. (1992b). M-estimation in censored linear models. Biometrika 79, 837-841.
    • (1992) Biometrika , vol.79 , pp. 837-841
    • Zhou, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.