标题: | 利用设限比例方法建构设限资料之容忍区间 Tolerance Intervals for Twice-censored Data Based on the Censored Rate Approach |
作者: | 林士杰 王秀瑛 统计学研究所 |
关键字: | 区间设限;设限资料;覆盖率;设限比例方法;Tolerance Interval;censored data;coverage probability;censored rate |
公开日期: | 2010 |
摘要: | 在工业、临床试验及药理学的应用上,容忍区间是个能分析资料特征 之有用工具之一。在实际应用上,尤其是可靠度分析及临床试验,在 搜集资料时常难免会碰到资料遗失或不完整之情形。在现行的研究 中,有不少关于容忍区间之建构方法在特定分配上。但较少有一般性 的方法来建构设限资料之容忍区间。故在此篇研究,我们会探讨如何 建构设限资料之容忍区间。并利用设限比例方法去估计资料未知之参 数。且将常态分配及一般性分配分别提供演算法步骤。最后在将设限 方法应用在实际案例上。 Tolerance intervals are useful tools to capture characteristics of the un- derlying distribution of collected data in industrial, clinical trials and phar- maceutical applications. In real applications, especially in reliability test- ing and clinical trial, it is common that the collected data with censored outcomes. Although there are existing methods for constructing tolerance interval for speci?c distributions or models, there lacks a uni?ed approach for constructing tolerance intervals with censored data for any distribution. In this study, we consider the problem of constructing tolerance intervals for parametric distributions with censored data. A censored rate approach is proposed to estimate the parameters. Algorithms based on the estimation to construct tolerance intervals for the normal and other distributions are provided in this study. A simulation study and a real data example study show the superiority of the proposed methods. |
URI: | http://140.113.39.130/cdrfb3/record/nctu/#GT079826517 http://hdl.handle.net/11536/47682 |
显示于类别: | Thesis |
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