Weighted Local Linear Approach to Censored Nonparametric Regression

Recent Advances and Trends in Nonparametric Statistics

Volumn , Issue , 2003, Pages 217-231

  Cai, Zongwu ^a  

^a UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27744556617     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-044451378-6/50015-6     Document Type: Chapter

References (37)

1. Bennett S. Log-logistic regression models for survival data. Applied Statistics 1983, 32:165-171.
2. Beran R. Nonparametric regression with randomly censored survival data. Technical Report, Department of Statistics, University of California at Berkeley 1981.
3. Buckley J., James I.R. Linear regression with censored data. Biometrika 1979, 66:429-436.
4. Cai Z. Asymptotic properties of Kaplan-Meier estimator for censored dependent data. Statistics and Probability Letters 1998, 37:381-389.
5. Cai Z. Estimating a distribution function for censored time series data. Journal of Multivariate Analysis 2001, 78:299-318.
6. Cai Z. Weighted local linear approach to censored nonparametric regression. Technical Report, Deaprtment of mathematics, University of North Carloina at Charlotte 2003.
7. Dabrowska D.M. Nonparametric regression with censored data. Scandinavian Journal of Statistics 1987, 14:181-197.
8. Dagenais M. Comments on S.L. Zeger and R. Brookmeyer: "Regression analysis with censored autocorrelated data". Journal of the American Statistical Association 1991, 86:255. [Journal of American Statistical Association81, 721-729].
9. Doksum K.A., Yandell B.S. Properties of regression estimates based on censored survival data. A Festschrift for Erich Lehmann 1982, 140-156. Wadsworth Internation Group, Belmont CA. P.J. Bickel, K.A. Dosum, J.L. Hpdges (Eds.).
10. Fan J., Gijbels I. Local Polynomial Modeling and Its Applications 1996, Chapman and Hall.
11. Gray R.J. Estimation of regression parameters and the hazard function in transformed linear survival data. Biometrics 2000, 56:571-576.
12. Hurvich C.M., Simonoff J.S., Tsai C.-L. Smoothing parameter selection in nonparametric regression using an improved Akaike information criterion. Journal of the Royal Statistical Society 1998, B 60:271-293.
13. Kalbfleisch J.D., Prentice R.L. The Statistical Analysis of Failure Time Data 1980, John Wiley, London.
14. Kim H.T., Truong Y.K. Nonparametric regression estimates with censored data: Local linear smoothers and their applications. Biometrics 1998, 54:1434-1444.
15. Koul H., Susarla V., Van Ryzin J. Regression analysis with randomly right-censored data. The Annals of Statistics 1981, 9:1276-1288.
16. Lai T.L., Ying Z. Linear rank statistics in regression analysis with censored or truncated data. Journal of Multivariate Analysis 1990, 19:531-536.
17. Miller R.G. Least squares regression with censored data. Biometrika 1976, 63:449-464.
18. Miller R., Halpern J. Regression with censored data. Biometrika 1982, 69:521-531.
19. Murphy S.A., Rossini A.J., Van der Vaart A.W. Maximum likelihood estimation in the proportional odds model. Journal of the American Statistical Association 1996, 92:968-976.
20. Shen X. Proportional odds regression and sieve maximum likelihood estimation. Biometrika 1998, 85:165-177.
21. Shumway R.H., Azari A.S., Johnson P. Estimating mean concentrations under transformation for environmental data with detection limits. Technometrics 1988, 31:347-356.
22. Stute W. Consistent estimation under random censorship when covariates are present. Journal of Multivariate Analysis 1993, 45:89-103.
23. Stute W. Distributional convergence under random censorship when covariates are present. Scandinavian Journal of Statistics 1996, 23:461-471.
24. Stute W. Nonlinear censored regression. Statistica Sinica 1999, 9:1089-1102.
25. Stute W., Wang J.L. The strong law under random censorship. The Annals of Statistics 1993, 21:1591-1607.
26. Tsiatis A.A. Estimating regression parameters using linear rank tests for censored data. The Annals of Statistics 1990, 18:354-372.
27. Vasudaven M., Nair M.G., Sithole M.M. On estimation for censored autoregressive data. Statistics and Probability Letters 1996, 31:97-105.
28. Wahba G. A survey of some smoothing problems and the method of generalized cross-validation for solving them. Applications of Statistics 1977, 507-523. Amsterdam, North Holland. P.R. Krisnaiah (Ed.).
29. Wei L.J., Ying Z., Lin D.Y. Linear regression analysis of censored survival data based on rank tests. Biometrika 1990, 77:845-891.
30. Yang S. Censored median regression using weighted empirical survival and hazard functions. Journal of the American Statistical Association 1999, 94:137-145.
31. Yang S., Prentice R.L. Semiparametric inference in the proportional odds regression model. Journal of the American Statistical Association 1999, 94:125-136.
32. Ying Z. A large sample study of rank estimation for censored regression data. The Annals of Statistics 1993, 21:76-99.
33. Ying Z., Jung S.H., Wei L.J. Survival analysis with median regression models. Journal of the American Statistical Association 1995, 90:178-184.
34. Zeger S.L., Brookmeyer R. Regression analysis with censored autocorrelated data. Journal of the American Statistical Association 1986, 81:721-729.
35. Zheng Z. A class of estimators of the parameters in linear regression with censored data. Acta Mathematicae Applicatae Sinica 1987, 3:231-241.
36. Zheng Z. Strong consistency of nonparametric regression estimates with censored data. Journal of Mathematical Research and Exposition 1988, 8:307-313.
37. Zhou M. M-estimation in censored linear models. Biometrika 1992, 79.