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Original Articles

Edgeworth expansion for the kaplan-meier estimato

Pages 2479-2494 | Received 01 Oct 1990, Published online: 27 Jun 2007

References

  • Bickel , P. J. , Götze , F. and van Zwet , W. R. 1986 . The Edgeworth expansion for U-statistics of degree two . Ann. Statist , 14 : 1463 – 1484 .
  • Breslow , N. and Crowley , J. 1974 . A large sample study of the life table and product limit estimates under random censorship . Ann. Statist , 2 : 437 – 453 .
  • Chang , M. N. 1990 . Moments of the Kaplan-Meier estimator . To appear in Sankhyā A , 2
  • Chang , M. N. and Rao , P. V. 1989 . Berry-Esseen bound for the Kaplan- Meier estimator . Comm. in Statist. — Theor. Meth. , 18 ( 12 ) : 4647 – 4664 .
  • Dvoretzky , A. , Kiefer , J. and Wolfowitz , J. 1956 . Asymptotic minimax character of the sample distribution function and of the classical multinomial estimator . Ann. Math. Statist , 27 ( 12 ) : 642 – 669 .
  • Lo , S. H. and Singh , K. 1986 . The product- limit estimator and the bookstrap: Some asymptotic representations . Probab. Theory Related Fields , 71 ( 12 ) : 455 – 465 .
  • Major , P. and Rejtö , L. 1988 . Strong embedding of the estimator of the distribution function under random censorship . Ann. Statist , 16 ( 12 ) : 1113 – 1132 .
  • Reid , N. 1981 . Influence functions for censored data . Ann. Statist , 9 ( 12 ) : 78 – 92 .

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