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.

提出了寿命分析中一种新的不完全数据模型-截断模型。该模型可以看作是截尾模型和截尾模型的统一模型。利用该模型，不仅可以估计脆弱种群与脆弱和持久混合种群的比例，而且可以检验该比例等于一个给定值的假设。本文的一个中心点是，这样的测试可以很容易地实现通过新引入的截断模型，因为它已经很难做这样的假设检验下，只有删失和截断模型的框架。因此，截断模型与截尾和截断模型的关系是明确的，因为截断模型统一了截尾和截断模型。给出了脆弱总体寿命估计中参数的估计及相应的置信区间。典型的例子应用到电子板故障和乳腺癌数据的寿命估计证明，并成功地使用截断模型。

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