下一个失效时刻的非参数估计

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The Nonparametric Estimation of the Next Failure Time

Managment Engineering Department, Suzhou Institute of Silk Textile Technology, Suzhou 215005, P. R. China

摘要: 本文研究下一个失效时刻的非参数估计问题.文中所给出的估计量在一定条件下a.s.收敛,同时也讨论了估计量的渐近正态性.
- 截断数据 /
- a.s.收敛 /
- 渐近正态 /
- K-M估计
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.
- censored data /
- a.s. convergence /
- asymptotic normality /
- K-M estimator

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[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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