Research on Lifetime Estimation Using The Trunsored Data

介绍了寿命分析中一种新的不完全数据模型——截尾模型。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，我们不仅可以估计脆弱种群与脆弱持久混合种群的比例，而且可以检验该比例等于某一规定值的假设。本文的一个中心观点是，这种检验可以很容易地通过新引入的截尾模型来实现，而仅仅在截尾模型和截尾模型的框架下很难进行这种假设检验。因此，由于截尾模型统一了截尾模型和截尾模型，因此澄清了截尾模型与截尾模型的关系。给出了脆弱种群寿命估计中各参数的估计和相应的置信区间。应用于电子板故障和乳腺癌数据的寿命估计的典型例子进行了演示，并成功地使用截尾模型工作。

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.