Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Comparison of Survival Function Estimators for the Cox's Regression Model using Bootstrap Method

Cox 회귀모형(回歸模型)에서 붓스트랩방법(方法)에 의한 생존함수추정량(生存函數推定量)의 비교연구(比較硏究)

  • Published : 1993.06.25
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Abstract

The Cox's regression model is frequently used for covariate effects in survival data analysis, But, much of the statistical work has focused on asymptotic behavior so the small sample evaluation has been neglected. In this paper, we compare the small or moderate sample performances of the survival function estimators for the Cox's regression model using bootstrap method. The smoothed PL type estimator and the Link estimator are slightly better than corresponding the PL type estimator and the Nelson type estimator in the sense of the achieved error rates.

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References

  1. Ann. Statist. v.10 Cox`s Regression Model for Counting Process : a Large Sample Study Andersen, P.K.;Gill, R.D.
  2. Ann. Statist. v.16 A Note on the Asymptotic Normality in the Cox Regression Model Arjas, E.;Haara, P.
  3. Confidence Intervals and Confidence Bands for the Cumulative Hazard Rate Function and Their Small Sample Properties. Institute of Informatics, Univ. of Oslo Tech. Report Bie, O.;Borgan, O.;Liestol, K.
  4. Ann. Statist. v.2 A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship Breslow, N.;Crowley, J.
  5. Biometrics v.40 Monte Carlo Confidence Intervals Buckland, S.T.
  6. J. Roy. Statist. Soc., B v.34 Regression Models and Life-Tables (with discussion) Cox, D.R.
  7. J. Amer. Statist. Assoc. v.76 Censored Data and the Bootstrap Efron, B.
  8. Biometrika v.72 Bootstrap Confidence Intervals for a Class of Parametric Problems Efron, B.
  9. Commun. Statist.-Theor. Meth. Nonparametric Estimation of the Survival Distribution in Censored Data Fleming, T.R.;Harrington, D.P.
  10. The Statistical Analysis of Failure Time Data Kalbfleisch, J.;Prentice, R.L.
  11. Biometrics v.40 Confidence Intervals for the Survival Function using Cox`s Proportional-Hazard Model with Covariates Link, C.L.
  12. Ann. Statist. v.9 A Large Sample Stwdy of Cox`s Regression Model Tsiatis, A.A.