Exact sample size determination in a weibull test plan when there is time censoring

研究成果: Article同行評審

7 引文 斯高帕斯(Scopus)

摘要

Engineers who conduct reliability tests need to choose the sample size when designing a test plan. The model parameters and quantiles are the typical quantities of interest. The large-sample procedure relies on the property that the distribution of the t-like quantities is close to the standard normal in large samples. In this paper, we use a new procedure based on both simulation and asymptotic theory to determine the sample size for a test plan. Unlike the complete data case, the t-like quantities are not pivotal quantities in general when data are time censored. However we show that the distribution of the t-like quantities only depend on the expected proportion failing and obtain the distributions by simulation for both complete and time censoring case when data follow Weibull distribution. We find that the large-sample procedure usually underestimates the sample size even when it is said to be 200 or more. The sample size given by the proposed procedure insures the requested nominal accuracy and confidence of the estimation when the test plan results in complete or time censored data. Some useful figures displaying the required sample size for the new procedure are also presented.

原文English
頁(從 - 到)389-408
頁數20
期刊Journal of Statistical Computation and Simulation
73
發行號6
DOIs
出版狀態Published - 2003 六月 1

All Science Journal Classification (ASJC) codes

  • 統計與概率
  • 建模與模擬
  • 統計、概率和不確定性
  • 應用數學

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