One-Stage Multiple Comparisons of the Mean Lifetimes of k Treatments with the Average for Exponential Distributions under Heteroscedasticity
學年 111
學期 2
出版(發表)日期 2023-03-21
作品名稱 One-Stage Multiple Comparisons of the Mean Lifetimes of k Treatments with the Average for Exponential Distributions under Heteroscedasticity
作品名稱(其他語言)
著者 Wu, S. F.
單位
出版者
著錄名稱、卷期、頁數 Axioms 12(3), 312
摘要 Making use of uniformly minimum-variance unbiased estimators for the parameters of two-parameter exponential distributions and the distribution of pivotal quantities, we propose one-stage multiple comparison procedures for k mean lifetimes with the average under heteroscedasticity. The multiple comparison procedures include one-sided and two-sided confidence intervals. These intervals can be applied to identify which treatment’s mean lifetime is better than the average or worse than the average in terms of the mean lifetimes of all treatments. Critical values are obtained in order to assure users that the given confidence coefficient has been reached; they are organized in table format for practical and convenient use. An example is provided to demonstrate the proposed techniques, wherein the mean survival times of four different lung cancer categories are compared with the average.
關鍵字 one-stage procedure;simulation;ranking and selection: multiple comparison procedures with the average;mean lifetimes
語言 en
ISSN 2075-1680
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 CHE
公開徵稿
出版型式 ,電子版
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