Weibull 分布等分位数数据填充算法及其应用

姜宁宁

系统科学与数学 ›› 2008, Vol. 28 ›› Issue (6) : 662-668.

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中国科学院数学与系统科学研究院期刊网
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系统科学与数学 ›› 2008, Vol. 28 ›› Issue (6) : 662-668. DOI: 10.12341/jssms10225
论文

Weibull 分布等分位数数据填充算法及其应用

    姜宁宁
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Quantile-Filling Algorithm for Weibull Distribution and its Application

    JIANG Ningning
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摘要

基于作者曾提出的处理非随机删失数据的迭代算法,针对Weibull分布相同定时截尾型试验数据,通过改变数据的填补方式,在保证由算法所得的参数估计的相合性和不变性的前提下,使得改进后的算法所得的虚拟完全数据更接近于真实的完全数据.模拟研究表明,对于删失数据情形下可靠度的区间估计问题,改进后的算法更加精确.

Abstract

Based on the iteration algorithm which is proposed to deal with non-random censoring data in past paper, the data-filling method is modified so that the virtual complete data obtained from the algorithm is much closer to the real
complete data in the case of Weibull distribution under type I censoring data.
The simulation result shows that this algorithm is superior to the algorithm in past paper for interval estimator of reliability under censoring data.

关键词

矩不变准则 / 非随机删失 / 不变性 / 相合性 / 区间估计

Key words

Moment invariance criterion / non-random censoring data / invariability / consistency / interval estemator.

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姜宁宁. Weibull 分布等分位数数据填充算法及其应用. 系统科学与数学, 2008, 28(6): 662-668. https://doi.org/10.12341/jssms10225
JIANG Ningning. Quantile-Filling Algorithm for Weibull Distribution and its Application. Journal of Systems Science and Mathematical Sciences, 2008, 28(6): 662-668 https://doi.org/10.12341/jssms10225
中图分类号： 46N30    47N30   
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