论文信息 - The jackknife estimate of a Kaplan-Meier integral

The jackknife estimate of a Kaplan-Meier integral

SUMMARY We derive an explicit formula for the jackknife estimate of a Kaplan-Meier integral. From this the asymptotic analysis of the jackknifed Kaplan-Meier process becomes straightforward. In a small simulation study it is demonstrated that jackknifing may lead to a considerable reduction of the bias.

Winfried Stute | Jane-Ling Wang

[1] R. Gill. Censoring and stochastic integrals , 1980 .

[2] Donald P. Gaver,et al. Jackknifing the kaplan-meier survival estimator for censored data: Simulation results and asymptotic analysis , 1983 .

[3] J. Wellner. A Heavy Censoring Limit Theorem for the Product Limit Estimator , 1985 .

[4] David W. Mauro,et al. A Combinatoric Approach to the Kaplan-Meier Estimator , 1985 .

[5] M. H. Quenouille. NOTES ON BIAS IN ESTIMATION , 1956 .

[6] N. Breslow,et al. A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship , 1974 .

[7] M. Zhou,et al. Two-sided bias bound of the Kaplan-Meier estimator , 1988 .

[8] Winfried Stute,et al. The Bias of Kaplan-Meier Integrals , 1994 .

[9] E. Kaplan,et al. Nonparametric Estimation from Incomplete Observations , 1958 .