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題 名 | Interval Estimation of the Weibull Distribution under the Failure-censored Sampling Plan |
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作 者 | Wu,Jong-wuu; Lin,Shang-hsien; | 書刊名 | International Journal of Information and Management Sciences |
卷 期 | 12:2 2001.06[民90.06] |
頁 次 | 頁39-50 |
分類號 | 494.578 |
關鍵詞 | Weibull distribution; Failure-censored; Joint confidence region; Reliability function; Extreme-value distribution; |
語 文 | 英文(English) |
英文摘要 | In this paper, we provide a method for constructing an exact confidence interval for the shape parameter and an exact joint confidence region for the shape and scale parameters of the Weibull distribution under the failure-censored sampling plan. The above joint confidence region is used to obtain a conservative lower confidence bound for the reliability function. Further, an exact confidence interval and an exact joint confidence region for some interested parameters of the type I Extreme-Value distribution are also given. In addition, under the failure-censored sampling plan, we provide optimal criteria to find a best exact confidence interval for the shape parameter and a best exact joint confidence region for the shape and scale parameters. Finally, we give two examples to illustrate the proposed method. |
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