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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