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Unit exponentiated Weibull model with applications

delete2025-02-01
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Ammar M. Sarhan
M
Mohamad Sobh *
DOI：10.1016/j.sciaf.2025.e02606delete
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摘要

摘要

En 中文
开发新的、针对单位区间数据建模的有效统计分布，在现代数据分析中至关重要。本文提出了一种新的单位区间分布，称为单位指数威布尔分布，其源自三参数指数威布尔分布。我们将探讨该新分布的关键统计性质，并采用最大似然法和最小二乘法进行参数估计。进行了一项模拟研究，以评估最大似然估计和最小二乘估计的性能。模拟研究表明，最大似然法在估计基础模型的三参数方面优于最小二乘法。为说明所提出模型的实际应用价值，我们分析了实际数据集，并将其性能与其他已建立的分布进行了比较。结果表明，所提出的模型提供了优于本研究中考虑的竞争模型的拟合效果。
Keyword:
Reliability
Data analysis
Statistical inferences
Probability models
Maximum likelihood method
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Scientific African
IF:
3.3
论文数:
1.2K
被引数:
6.7K

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