Sampling design for the lifetime performance index of exponential lifetime distribution under progressive type I interval censoring
學年 112
學期 1
出版（發表）日期 2023-09-01
作品名稱 Sampling design for the lifetime performance index of exponential lifetime distribution under progressive type I interval censoring
作品名稱（其他語言）
著者 Wu, S. F.; Jheng, J. J. ; Chang, W. T.
單位
出版者
著錄名稱、卷期、頁數 Communications in Statistics-Theory and Methods 52(8), p.2766-2782
摘要 The lifetime performance index was used for the evaluation on the process performance to promote the quality and productivity especially with products following a one-parameter exponential distribution. Based on the hypothesis testing procedure using the maximum likelihood estimator as testing statistic, the sampling design is determined under different situations. For given power of hypothesis testing, the minimum sample size is determined and tabulated to reach the given power. When the termination time is fixed and the number of inspection intervals is not fixed, the required number of inspection intervals and sample size with minimum total cost are determined and tabulated. When the termination time is not fixed, the required number of inspection intervals, sample size and equal interval length to reach the minimum total cost are determined and tabulated. At last, one numerical example is given to illustrate the use of this sampling design to collect data and then implement the testing procedure to determine whether the process is capable.
關鍵字 Censored sample;exponential distribution;maximum likelihood estimator;process capability indices;testing algorithmic procedure;sampling design
語言 en_US
ISSN 1532-415X; 0361-0926
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 否
國別 USA
公開徵稿
出版型式 ,電子版,紙本
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