一个统一的指数式H家族用于模拟现实数据:属性和推理
Farrukh Jamal1, Mohammed Alqawba2, Yasser Altayab3
1Department of Statistics, The Islamia University Bahawalpur, 63100, Pakistan.
Heliyon
|March 21, 2024
概括
研究人员开发了一种新的灵活统计模型,即新的指数-H (NEx-H) 家族,用于可靠性分析. 与传统模型相比,NEx-H家族,特别是NEx-Weibull分布,为真实世界的数据提供了更好的适应性.
科学领域:
- 统计 统计 统计 统计
- 可靠性工程可靠性工程
- 可能性理论概率理论.
背景情况:
- 指数分布是可靠性分析的一个基本模型.
- 现有的模型可能缺乏灵活性来捕捉复杂的故障率行为.
- 需要先进的统计分布来建模各种现实世界的现象.
研究的目的:
- 介绍一个新的统计分布家族,新的指数式-H (NEx-H) 家族.
- 研究NEx-H家族的数学特性和灵活性.
- 评估NEx-Weibull分布的性能,以进行可靠性分析.
主要方法:
- 对NEx-H家族的数学属性的推导.
- 使用七种不同的方法估计NEx-Weibull参数.
- 数字模拟用于比较估计技术.
- 在三个现实数据集上应用和比较NEx-Weibull模型.
主要成果:
- 该NEx-H家族在建模各种失效率模式 (单模,双模,斜,J形) 中表现出能力.
- 最大概率估计 (MLE) 成为估计NEx-Weibull参数的最佳方法.
- 与已建立的韦布尔模型相比,NEx-韦布尔分布为分析的数据集提供了更好的匹配.
结论:
- 该NEx-H家族代表了可靠性统计建模的重大进步.
- 在现实世界的可靠性应用中,NEx-Weibull分布提供了更高的灵活性和准确性.
- 这些发现支持采用NEx-Weibull模型,以改善可靠性研究中的数据适应性.
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