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A drawback and an improvement of the classical Weibull probability plot

机译:经典威布尔概率图的缺点和改进

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The classical Weibull Probability Paper (WPP) plot has been widely used to identity a model for fitting a given dataset. It is based on a match between the WPP plots of the model and data in shape. This paper carries out an analysis for the Weibull transformations that create the WPP plot and shows that the shape of the WPP plot of the data randomly generated from a distribution model can be significantly different from the shape of the WPP plot of the model due to the high non-linearity of the Weibull transformations. As such, choosing model based on the shape of the WPP plot of data can be unreliable. A cdf-based weighted least squares method is proposed to improve the parameter estimation accuracy; and an improved WPP plot is suggested to avoid the drawback of the classical WPP plot. The appropriateness and usefulness of the proposed estimation method and probability plot are illustrated by simulation and real-world examples.
机译:经典的威布尔概率论文(WPP)图已被广泛用于标识适合给定数据集的模型。它基于模型的WPP图和形状数据之间的匹配。本文对创建WPP图的Weibull变换进行了分析,结果表明,由于分布模型的影响,从分布模型随机生成的数据的WPP图的形状可能与模型的WPP图的形状明显不同。威布尔变换的高非线性。因此,基于WPP数据图的形状选择模型可能不可靠。为了提高参数估计精度,提出了一种基于cdf的加权最小二乘法。为了避免传统WPP图的缺点,建议使用改进的WPP图。通过仿真和实际例子说明了所提出的估计方法和概率图的适当性和实用性。

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