下一个失效时刻的非参数估计
The Nonparametric Estimation of the Next Failure Time
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Abstract: The nonparametric estimation of the next failure time is considered in this paper.The estimator given in the paper has a.s. convergence under some proper conditions.The asymptotic normality of the estimator is also discussed.
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Key words:
- censored data /
- a.s. convergence /
- asymptotic normality /
- K-M estimator
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[1] J. R.Blum and V. Susarla, Maximal deviation theory of density and failure rate function estimates based on censored data, Multivariate Analysis V. (P. R. Krishnaiah, Ed.),North-Holland Amsterdam (1980), 213-222. [2] S. Diehl and W. Stute, Kernel density and hazard function estimation in the presence of censoring, J Multivariate Analysis, 25 (1988), 299-310. [3] Liu Regina and J. Van Ryzin, A historam of the hazard rate with censored data, Ann.Stalist., 13 (1985), 592-605. [4] A. Földes, L. Reitö and B. B. Winter, Strong consistency properties of nonparametric estimators for randomly censored data, II. Estimation of density and failure rate,Period Math. Hungar, 12 (1981), 15-29. [5] M. A. Tanner and W. H. Wong, The estimation of the hazard function from randomly censored data by the kernel method, Ann Statist., 11 (1983), 989-993. [6] 黎子良、郑祖康,《生存分析》,浙江科学技术出版社,杭州(1993).
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