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下一个失效时刻的非参数估计

李刚

李刚. 下一个失效时刻的非参数估计[J]. 应用数学和力学, 1997, 18(1): 91-94.
引用本文: 李刚. 下一个失效时刻的非参数估计[J]. 应用数学和力学, 1997, 18(1): 91-94.
Li Gang. The Nonparametric Estimation of the Next Failure Time[J]. Applied Mathematics and Mechanics, 1997, 18(1): 91-94.
Citation: Li Gang. The Nonparametric Estimation of the Next Failure Time[J]. Applied Mathematics and Mechanics, 1997, 18(1): 91-94.

下一个失效时刻的非参数估计

The Nonparametric Estimation of the Next Failure Time

  • 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.
  • [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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出版历程
  • 收稿日期:  1995-04-24
  • 刊出日期:  1997-01-15

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