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首页> 外文期刊>International Journal of Reliability, Quality and Safety Engineering >EXACT CONFIDENCE INTERVALS AND JOINT CONFIDENCE REGIONS FOR THE PARAMETERS OF THE WEIBULL DISTRIBUTIONS
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EXACT CONFIDENCE INTERVALS AND JOINT CONFIDENCE REGIONS FOR THE PARAMETERS OF THE WEIBULL DISTRIBUTIONS

机译：威布尔分布参数的确切置信区间和联合置信区间

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摘要

The Weibull distribution is widely adopted as a lifetime distribution. One of the characteristics the Weibull distribution possesses is that its cumulative distribution function can be expressed by closed form. Parameter estimation for the Weibull distribution has been discussed by many authors. Various methods have been proposed for constructing confidence intervals and joint confidence regions for the parameters of the Weibull distribution based on censored data. This paper discusses those methods that deal with exact confidence intervals or exact joint confidence regions for the parameters. One of the applications of the joint confidence regions of the parameters is to find confidence bounds for the functions of the parameters. In this paper, confidence bounds for the mean lifetime and reliability function for the Weibull distributions are discussed. Some unresolved problems for the exact confidences and joint confidence regions are mentioned in the discussion section.
机译：威布尔分布被广泛采用为寿命分布。威布尔分布具有的特征之一是其累积分布函数可以用封闭形式表示。 Weibull分布的参数估计已由许多作者讨论过。已经提出了各种方法来基于审查数据构造威布尔分布的参数的置信区间和联合置信区域。本文讨论了那些用于参数的精确置信区间或精确联合置信区域的方法。参数的联合置信度区域的一种应用是找到参数函数的置信界。本文讨论了Weibull分布的平均寿命和可靠性函数的置信界。讨论部分提到了一些确切的置信度和联合置信度区域尚未解决的问题。

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