Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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Robust Regression and Stratified Residuals for Left-Truncated and Right-Censored Data

  • Kim, Chul-Ki (Department of Statistics, Ewha Womans University, Seoul 120-750)
  • Published : 1997.09.01
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Abstract

Computational algorithms to calculate M-estimators and rank estimators of regression parameters from left-truncated and right-censored data are developed herein. In the case of M-estimators, new statistical methods are also introduced to incorporate leverage assements and concomitant scale estimation in the presence of left truncation and right censoring on the observed response. Furthermore, graphical methods to examine the residuals from these data are presented. Two real data sets are used for illustration.

Keywords

References

  1. Regression Diagnostics Belseley, D.A.;Kuh, E.;Welsch, R.E.
  2. Biometrika v.66 Linear regression with censored data Buckley, J.;James, I.
  3. Journal of Royal Statistical Society, Series B v.30 A general definition of residuals (with discussion) Cox, D.R.;Snell, E.J.
  4. Journal of Royal Statistical Society, Series B v.39 Maximum like-lihood from incomplete data via the EM algorithm (with discussion) Dempster, A.P.;Laird, N.M.;Rubin, D.B.
  5. Scandinavian Journal of Statistics Weighted estimation in linear regression for truncated survival data Gross, S.
  6. Journal of the American Statistical Association Nonparametric estimation and regression analysis with left truncated and right censored data Gross, S.;Lai, T.L.
  7. Annals of Statistics v.1 Robust regression: Asymptotics, conjectures and Monte Carlo Huber, P.J.
  8. Robust Statistical Procedures Huber, P.J.
  9. Robust Statistics Huber, P.J.
  10. Annals of Mathematical Statistics v.40 Asymptotic linearity of a rank statistic in regression parameter Jureckova, J.
  11. Annals of mathematical Statistics v.42 Nonparametric estimates of regression coefficients Jureckova, J.
  12. Journal of the American Statistical Association v.84 Inference based on retrospective ascertainment: An analysis of data on transfusion-related AIDS Kalbfleisch, J.D.;Lawless, J.F.
  13. Applied Statistics v.26 Proportional hazard regression models and the analysis of censored survival data Kay, R.
  14. Annals of Statistics v.19 Estimating a distribution function with truncated and censored data Lai, T.L.;Ying, Z.
  15. Annals of Statistics v.19 Rank regression methods for left-truncated and right-censored data Lai, T.L.;Ying, Z.
  16. Annals of Statistics v.22 A missing information principle and Mestimators in regression analysis with censored and truncated data Lai, T.L.;Ying, Z.
  17. Biometrika v.74 Linear models, random censoring and synthetic data Leurgans, S.
  18. Journal of Computational and Graphical Statistics v.1 Computational methods for semiparametric linear regression with censored data Lin, D.Y.;Geyer, C.J.
  19. Biometrika v.69 Regression with censored data Miller, R.G.;Halpern, J.
  20. Annals of Statistics v.18 Estimation in a linear regression model with censored data Ritov, Y.
  21. Journal of the American Statistics Association v.83 A nonparametric approach to the truncated regression problem Tsui, K.L.;Jewell, N.P.;Wu, C.F.J.