关于三参数威布尔分布形状参数估计

Journal of data science : JDS Pub Date : 2021-07-30 DOI:10.6339/JDS.2013.11(3).1110

M. Teimouri, Arjun K. Gupta

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引用次数: 38

摘要

威布尔分布在可靠性理论中引起了很大的兴趣。众所周知，该家族的极大似然估计量(MLE)不能以封闭形式表示。本文提出了三参数威布尔分布形状参数的一致闭形式估计量。该估计器除具有较高的性能外，还具有位置和尺度不变性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Three-Parameter Weibull Distribution Shape Parameter Estimation

The Weibull distribution has received much interest in reliability theory. The well-known maximum likelihood estimators (MLE) of this fam- ily are not available in closed form expression. In this work, we propose a consistent and closed form estimator for shape parameter of three-parameter Weibull distribution. Apart from high degree of performance, the derived estimator is location and scale-invariant.

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Journal of data science : JDS

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