Research on Lifetime Estimation Using The Trunsored Data

利用截断数据进行寿命估计的研究

• 批准号: 13680524
• 负责人: HIROSE Hideo
• 金额: $ 0.64万
• 依托单位: Kyushu Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13680524/
• 关键词: Trunsored data; lifetime estimation; mixture distribution; likelihood ratio test; boundary problem; censored data; truncated data; 混合モデル; 不完全データ; 仮説検定; clearable population; fragile population

A new incomplete data model, the trunsored model, in lifetime analysis is introduced. This model can be regarded as a unified model of the censored and truncated models. Using the model, we can not only estimate the ratio of the fragile population to the mixed fragile and durable populations, but also test a hypothesis that the ratio equals to a prescribed value. A central point of the paper is that such a test can easily be realized through the newly introduced trunsored model, since it has been difficult to do such a hypothesis test under only the framework of censored and truncated models. Therefore, the relationship of the trunsored model to the censored and truncated models is clarified because the trunsored model unifies the censored and truncated models. The paper also shows how to obtain the estimates of the parameters in lifetime estimation and corresponding confidence intervals for the fragile population. Typical examples applied to electronic board failures and to breast cancer data for lifetime estimation are demonstrated and successfully worked using the trunsored model.

引入了生命周期分析中的新的不完整数据模型，即Trunsored模型。该模型可以被视为审查和截断模型的统一模型。使用该模型，我们不仅可以估计脆弱的种群与混合脆弱和耐用的种群的比率，而且还可以检验一个假设，即该比率等于规定的价值。本文的一个核心是，通过新引入的Trunsored模型可以轻松实现此类测试，因为仅在审查和截断模型的框架下很难进行这种假设检验。因此，阐明了修复模型与审查模型和截断模型的关系，因为Trunsored模型统一了审查和截断的模型。本文还显示了如何在脆弱人群的寿命估计和相应置信区间中获得参数的估计值。使用Trunsored模型证明了应用于电子板故障的典型示例和用于终生估计的乳腺癌数据的典型示例。

项目成果

The Trunsored Model and Its Applications to Lifetime Analysis : A Unification of the Censored and Truncated Models

截尾模型及其在寿命分析中的应用:截尾模型和截尾模型的统一

• 发表时间: 2004
• 期刊: IEEE Transactions on Reliability (to appear)
• 作者: H.Hirose