Average type-II censoring times for the 2-parameter Weibull distribution
H. K. Hsieh
Abstract
H. K. Hsieh
Abstract
The average experiment-time under a type-ll censoring plan, when the lifetime follows a 2-parameter Weibull distribution, is expressed here in computable form. The formulae can be used to compute ratios of average experiment times under type-II censoring and complete sampling plans. The ratios provide information on how much experiment time can be saved by using a type-II censoring plan instead of a complete sampling plan. These measures can help reliability analysts choose a suitable combination of censoring number and initial sample size. Tables of average experiment times and ratios are provided. Applications of the tables, confidence intervals for the ratio, and computational issues are discussed.>
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The average experiment-time under a type-ll censoring plan, when the lifetime follows a 2-parameter Weibull distribution, is expressed here in computable form. The formulae can be used to compute ratios of average experiment times under type-II censoring and complete sampling plans. The ratios provide information on how much experiment time can be saved by using a type-II censoring plan instead of a complete sampling plan. These measures can help reliability analysts choose a suitable combination of censoring number and initial sample size. Tables of average experiment times and ratios are provided. Applications of the tables, confidence intervals for the ratio, and computational issues are discussed.>
Key concepts: Censoring (clinical trials), Weibull distribution, Statistics, Mathematics, Reliability theory, Confidence interval, Sample size determination, Computer science